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Deposition of Steven Grenadier, Ph.D. — Case 1:21-md-02989-CMA (Document 585-5)

Summary

Exhibit 38 to Document 585 in Case 1:21-md-02989-CMA (Document 585-5), entered on the FLSD docket June 30, 2023: the 216-page transcript of the deposition of Steven Grenadier, Ph.D., in In re January 2021 Short Squeeze Trading Litigation, No. 1:21-MD-2989-CMA, taken on behalf of the Plaintiffs by remote Zoom proceedings from Menlo Park, California on Wednesday, April 19, 2023. Laurence M. Rosen of The Rosen Law Firm examines Grenadier, with Antony L. Ryan and Charlotte Lepic of Cravath appearing for Defendants, on Grenadier's work as a Stanford business school professor and senior advisor to Cornerstone Research and on the reports of Professor Fischel. Exhibits 175 through 179 include the Corrected Expert Report of 02/24/23, the Rebuttal Expert Report of 03/28/23 and works by Fama and Shleifer, and an errata sheet closes the transcript.

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Cite this document

“Deposition of Steven Grenadier, Ph.D. — Case 1:21-md-02989-CMA (Document 585-5).” Original at archive.org. Archived at Pandemic Darlings, https://pandemicdarlings.com/source-documents/2023-06-30-covid-era-misc-d2b9c3a8-1/, SHA-256 d2b9c3a82bddaf8a9e57e0a07db3197bb766a50e08dfc94cb7e43c130340d806.

Full text

Case 1:21-md-02989-CMA Document 585-5 Entered on FLSD Docket 06/30/2023 Page 1 of
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                EXHIBIT
                  38
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                                                                   Page 1

   1                   IN THE UNITED STATES DISTRICT COURT
   2                  FOR THE SOUTHERN DISTRICT OF FLORIDA
   3
   4
   5       IN RE JANUARY 2021 SHORT
           SQUEEZE TRADING LITIGATION                  No. 1:21-MD-2989-CMA
   6       ____________________________/
   7
   8
   9
  10
  11
  12                  DEPOSITION OF STEVEN GRENADIER, PH.D.
  13                           Remote Zoom Proceedings
  14                           Menlo Park, California
  15                          Wednesday, April 19, 2023
  16
  17
  18
  19
  20
  21
  22
  23      REPORTED BY:
  24      LESLIE ROCKWOOD ROSAS, RPR, CSR 3462
  25

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                                                                   Page 2

   1                    IN THE UNITED STATES DISTRICT COURT

   2                    FOR THE SOUTHERN DISTRICT OF FLORIDA

   3

   4

   5       IN RE JANUARY 2021 SHORT

           SQUEEZE TRADING LITIGATION             No. 1:21-MD-2989-CMA

   6       ____________________________/

   7

   8

   9

  10

  11                  Deposition of STEVEN GRENADIER, PH.D., taken on

  12      behalf of the Plaintiffs, Remote Zoom Proceedings from

  13      Menlo Park, California, beginning at 9:05 a.m. Pacific

  14      Daylight Time and ending at 4:11 p.m. Pacific Daylight

  15      Time, on Wednesday, April 19, 2023, before

  16      Leslie Rockwood Rosas, RPR, Certified Shorthand Reporter

  17      No. 3462.

  18

  19

  20

  21

  22

  23

  24

  25

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                                                                   Page 3

   1      APPEARANCES:
   2
   3      FOR THE PLAINTIFFS:
   4              THE ROSEN LAW FIRM
   5              BY: LAURENCE M. ROSEN, ESQ.
   6              275 Madison Avenue, 40th Floor
   7              New York, New York 10016
   8              (866) 767-3653
   9              lrosen@rosenlegal.com
  10
  11
  12      FOR THE DEFENDANTS:
  13              CRAVATH SWAYNE & MOORE LLP
  14              BY: ANTONY L. RYAN, ESQ.
  15                   CHARLOTTE LEPIC, ESQ.
  16              825 Eighth Avenue
  17              New York, New York 10019-7475
  18              (212) 474-1296 (Mr. Ryan)
  19              (212) 474-1325 (Ms. Lepic)
  20              aryan@cravath.com
  21              clepic@cravath.com
  22
  23      Also Present:
  24              Nicholas Lin, Robinhood
  25

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                                                                   Page 4

   1                                       I N D E X
   2
   3
   4         Wednesday, April 19, 2023
   5
   6         WITNESS                                             EXAMINATION
   7
   8         STEVEN GRENADIER, PH.D.
   9
  10          BY MR. ROSEN                                                  6
  11
  12
  13
  14
  15                   QUESTIONS WITNESS INSTRUCTED NOT TO ANSWER
  16                                         (None)
  17
  18
  19
  20
  21
  22
  23
  24
  25

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                                                                    Page 5

   1                               DEPOSITION EXHIBITS

   2                            STEVEN GRENADIER, PH.D.

   3           NUMBER                     DESCRIPTION               IDENTIFIED

   4          Exhibit 175      Corrected Expert Report of                 6

   5                           Professor Steven Grenadier,

   6                           02/24/23

   7          Exhibit 176      Rebuttal Expert Report of                  6

   8                           Professor Steven Grenadier,

   9                           03/28/23

  10          Exhibit 177      Court Order                               42

  11          Exhibit 178      Efficient Capital Markets: II,            85

  12                           by Eugene F. Fama

  13          Exhibit 179      Inefficient Markets, by Andrei            93

  14                           Shleifer

  15

  16

  17                  PREVIOUSLY MARKED EXHIBIT REFERRED TO HEREIN:

  18                            EXHIBIT NO.              PAGE

  19                            Exhibit 117                   101

  20

  21

  22

  23

  24

  25

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                                                                    Page 6

   1           Menlo Park, California; Wednesday, April 19, 2023

   2                      9:05 a.m. Pacific Daylight Time

   3                                   PROCEEDINGS

   4

   5                                      --oOo--

   6                  (Exhibit 175, Corrected Expert Report of

   7                  Professor Steven Grenadier, 02/24/23, was marked

   8                  for identification by counsel electronically.)

   9                  (Exhibit 176, Rebuttal Expert Report of

  10                  Professor Steven Grenadier, 03/28/23, was marked

  11                  for identification by counsel electronically.)

  12

  13                          STEVEN GRENADIER, PH.D.,

  14                  having been first duly sworn, was examined

  15                  and testified as follows:

  16

  17                  THE WITNESS:     I do.

  18                  THE REPORTER:      Thank you, sir.

  19                  You may proceed, Counsel.

  20

  21                                   EXAMINATION

  22      BY MR. ROSEN:

  23            Q.    Good morning, Professor Grenadier.        How are you

  24      doing?

  25            A.    Very well.     Thank you.

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   1            Q.    All right.    So let's see, where are you now?

   2            A.    I'm in Menlo Park, which is right near Stanford

   3      University.

   4            Q.    All right.    And what office are you with?

   5            A.    This is Cornerstone Silicon Valley office.

   6            Q.    All right.    Is anybody with you now?

   7            A.    Just the -- just the two Cravath attorneys.

   8            Q.    Two Cravath attorneys are with you?

   9            A.    Yes.

  10            Q.    Okay.   Let's see.

  11                  So you're a professor at Stanford; is that

  12      right?

  13            A.    Pardon me?

  14            Q.    You're in the business school?

  15            A.    Yes, I am.

  16            Q.    Okay.   And I'm going to introduce exhibit --

  17      well, we've already introduced Exhibit 175 and 176.               The

  18      first is your opening expert report which was corrected

  19      for some typo, I think, and then -- so I have the

  20      corrected version.       And then there's a rebuttal report

  21      which is Exhibit 176.

  22                  Could you just identify them and tell me if

  23      those are your reports.

  24            A.    Sure.   Just give me a moment.           I'm going to -- I

  25      see them on my screen.        I just have to download them.

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   1                  Okay, I have them.

   2            Q.    All right.    Okay.

   3                  So now in addition to being a professor at

   4      Stanford, you've also had some outside professional

   5      activities related to finance; is that right?

   6            A.    Yes.

   7            Q.    Okay.    And it shows here you're a director of

   8      E*TRADE funds; is that right?

   9            A.    That is correct, yes.

  10            Q.    And what -- what did E*TRADE funds do?

  11            A.    Sure.    So E*TRADE, the brokerage firm -- I don't

  12      know if they still do, but for a while salvaged their own

  13      proprietary fund family, and I was an outside trustee for

  14      that fund family.

  15                  So it grew from maybe two to approximately ten

  16      mutual funds, and then at one point, they shut them down.

  17            Q.    I see.    And what was your role as a trustee of

  18      the funds?

  19            A.    So I was an outside trustee, and there were also

  20      inside trustees.       And the outside trustee is a -- my

  21      understanding, was a fiduciary area looking after the

  22      investors in the underlying funds.

  23            Q.    Okay.    And do you know approximately how many

  24      funds they had?

  25            A.    I think it grew to about ten.

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    1            Q.    And do they have specific strategies, those

    2      funds?

    3            A.    They were -- it's all -- as I can recall, all of

    4      them were index funds.      And so it was a mixture of

    5      different types, but your sort of classic stock, bond,

    6      international, that kind of index fund.

    7            Q.    So an index fund, does that mean -- were they

    8      equally weighted or if they valuated the index funds?

    9      How does that work?

  10             A.    Most index funds are market valuated.

  11             Q.    So an index fund that's market valuated would

  12       purchase and maintain a portfolio of an equal weight of

  13       every fund, every stock in that portfolio; is that how it

  14       works?

  15             A.    So it would not be like that.          So a classic

  16       example -- and I'm sure we had one of them -- would be an

  17       S&P 500 fund --

  18             Q.    Uh-huh.

  19             A.    -- which is approximately the 500 largest by

  20       market value US stocks.      And what you would do to manage

  21       a fund like that would buy each of them in their market

  22       value proportions.     So, for example, today you would put

  23       much more in Apple than you would do in some other one

  24       like Walmart or something like that.

  25                   And then it's actually because they're market

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    1      weighted, they're relatively easy to maintain because you

    2      can essentially buy and hold them.              They float.   So as

    3      Apple goes up, and you hold the same number of shares, it

    4      moves up with Apple's market cap.

    5                  So valuated indices are generally quite easy o

    6      maintain and low cost to index because you don't really

    7      have to really do much.        You just buy in the right

    8      proportions, and then they essentially move in proportion

    9      over time.

  10             Q.    Okay.    And what if suddenly you had a hundred

  11       million dollar of new investment to the fund; would you

  12       then buy the same proportion of the portfolio that you

  13       already have with that hundred million, then?

  14             A.    Yes.    They would get their pro-rata share of

  15       that pie.     And so everybody in the fund would have the

  16       same fractional weights in the underlying stocks, and

  17       then as new money comes in, they just get another slice

  18       of that pie.

  19             Q.    All right.    And it says here that you also

  20       worked as a director of Nicholas-Applegate Institutional

  21       Funds; is that right?

  22             A.    That is.

  23             Q.    And what was your role there?

  24             A.    Sure.

  25                   It was again as an outside trustee, and

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    1      Nicholas-Applegate was, as it says, institutional funds.

    2      It was different than E*TRADE funds in that the

    3      underlying owners were essentially institutional

    4      investors, not retail investors.

    5                     And that -- I don't remember exactly.         It's been

    6      a while.        Nicholas-Applegate funds had a mixture of

    7      mostly active funds, and they were much more hedge fund

    8      like.        So they may have even involved some amount of

    9      shorting in them.

  10               Q.     I see.

  11                      Is Nicholas-Applegate still in business?

  12               A.     Ha-ha.     I think so.      They -- but I haven't

  13       followed them in like years.               They were -- my

  14       understanding when -- at least when I was there, they

  15       were a -- they were subsidiary of Allianz.               I believe

  16       it's a larger international bank, and that -- that was my

  17       recollection.           I don't know if that's still true, though.

  18               Q.     And what about AQR Funds; what was your role

  19       there?

  20               A.     Sure.     It's the same thing.

  21                      So AQR is mostly known as a hedge fund, but they

  22       started mutual fund family, and when they started the

  23       mutual fund family, I was one of their outside directors.

  24       And I did that for around five years or so.

  25               Q.     And what type of investing did AQR do?

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    1              A.   So it was hedge fund like.                So there were some

    2      unusual funds in there.          So there was one relatively

    3      small fund that actually I would call hedge fund in the

    4      sense that they did things like merger arbitrage and

    5      stuff like that, which is unusual for a mutual fund.

    6      They had some more conventional funds that were

    7      international.        They even had a fund when I was there

    8      that was a momentum fund.

    9                   So they were -- I don't know.                They don't fit

  10       neatly into active versus passive.                They're somewhere in

  11       between.      And like I say, I left there --

  12               Q.   Passive would be E*TRADE, for example?

  13               A.   Correct.

  14               Q.   I see.     Okay.

  15                    All right.     Okay.     It says you're a senior

  16       advisor to Cornerstone.          What does it mean to be a senior

  17       advisor to Cornerstone Research?

  18               A.   So I don't know specifically what that -- what

  19       that means in general.          In my circumstance, I have a

  20       relationship with Cornerstone where I do my expert

  21       witness -- my expert witness work mostly exclusively with

  22       them.

  23                    So when I have -- help on a case such as this

  24       one, I work with Cornerstone, and because I work

  25       exclusively with Cornerstone, I have a contract that has,

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    1      you know, some additional terms because of that.

    2            Q.    Some additional terms?

    3            A.    Yeah.

    4            Q.    What do you mean by "some additional terms"?

    5            A.    So normally when I work with -- in the old days,

    6      when I'd work with a litigation consultant, it would be

    7      on a per-deal basis.       You know, there would be some split

    8      and understanding of who I bill.             You know, very basic

    9      stuff.

  10                   When I work with Cornerstone, I have a contract

  11       that will say exactly how much of their revenues, as it's

  12       defined in the contract, that I would get a percentage

  13       of.

  14             Q.    So Cornerstone would bill the client for this

  15       case, and you would just get a cut out of that?

  16             A.    Yes.    You said it correctly.           I just was

  17       self-correcting.       When I said a percentage of revenues,

  18       obviously no revenues that I had no dealings with.                So

  19       you put it correctly.

  20                   If I'm working on a case with them, I will bill

  21       my hours, and Cornerstone bills their hours, and subject

  22       to some sort of description of what hours I have a

  23       fraction of, that's the case.            I get a fraction of their

  24       hours on the case.

  25             Q.    Okay.    All right.

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    1                  You're familiar with Professor Fischel; is that

    2      right?

    3            A.    Yeah.   I am.

    4            Q.    You know he -- he produced two reports in this

    5      matter?

    6            A.    I do.

    7            Q.    Have you had a chance to read those reports?

    8            A.    Yes.

    9            Q.    And when did you -- did you read a draft of the

  10       reports before they were finished?

  11             A.    I did not.

  12             Q.    Do you consider Professor Fischel to be an

  13       economist?

  14             A.    Yes.

  15             Q.    Now your reports have very similar narratives

  16       and conclusions, and I'm just wondering whether you had

  17       an opportunity to discuss with Professor Fischel the case

  18       prior to drafting your respective reports?

  19             A.    I did not.

  20             Q.    Have you ever represented a plaintiff,

  21       plaintiffs, in a securities class action?

  22             A.    Yes, I believe so.

  23             Q.    Okay.   Can you tell me which case that was?

  24             A.    So my recollection is there were many.            Let me

  25       see if I can think of some here.               One was -- this was a

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    1      long time ago.        It was -- so one of my very first cases

    2      was on a class action.           I'm trying to think.      What's

    3      the -- I forget.        It's like the largest German telecom

    4      funds -- telecom firm, and it was a class action against

    5      them.        I'm just forgetting.      Most people would know the

    6      name.        It's not coming to me.

    7                     I believe I did some life insurance companies,

    8      several of them that I worked for the plaintiffs in a

    9      class action suit for.

  10               Q.     Were those securities, though, or was that like

  11       more of a consumer contract type of case?

  12               A.     I don't recall.     It's -- I did -- I wouldn't

  13       have known the distinction.            I assume that the one with

  14       the German telecom was a securities one.               And there were

  15       others.        You know, when I first started as an expert, I

  16       think I predominantly worked for plaintiffs.

  17               Q.     And why did you stop?       They weren't paying you

  18       enough?

  19               A.     It was all the -- I charge the same.         I enjoyed

  20       working with those attorneys, too.               But I started getting

  21       asked more often by defense sides.               Of course, from my

  22       standpoint, a lot -- some of my cases, they're not class

  23       action, and I can't really distinguish is one a

  24       traditional -- you know, they're banks on both sides.                 So

  25       I don't see the normal distinction that others may see.

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    1            Q.    So let's talk about Robinhood.          You're familiar

    2      with the defendant in this case, Robinhood Markets?

    3            A.    Yes.

    4            Q.    Okay.   And how do they -- do you know how they

    5      make money?

    6            A.    I have a vague understanding, but I'm certainly

    7      not an expert in their business.

    8            Q.    Are you aware that they derive a material

    9      portion of their revenue from selling their clients'

  10       order flow to market makers?

  11             A.    That's my general understanding, yes.

  12             Q.    Do you know why market makers would pay to have

  13       that order flow?

  14             A.    I have a general understanding.          It involves

  15       things such as they can make money just on the

  16       transactions themselves.         It's possible that there are

  17       other benefits of understanding order flow, but that's

  18       really all I know about that.

  19             Q.    So is it possible that the order flow contains

  20       valuable information for Citadel?

  21             A.    It is possible.

  22                   (Discussion off the record.)

  23                   THE REPORTER:     Excuse me, Counsel.       Can we go

  24       off the record, please.

  25                   MR. ROSEN:   Sure.

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    1                  (Discussion off the record.)

    2                  MR. RYAN:    If there's anybody listening in,

    3      could they please identify themselves on the record.           I

    4      was unaware that anybody was listening in.

    5                  MR. ROSEN:    I'm not sure anyone is, but I know

    6      there's other people in my office who have a link and may

    7      or may not log in to listen at some point.           But they're

    8      not making appearances, but they're just going to listen.

    9      So I don't know.

  10                   But it sounds like nobody's -- nobody's there at

  11       the moment.

  12                   All right.    Let's go forward.

  13             Q.    So you read the Complaint in this action,

  14       Professor Grenadier; is that right?

  15             A.    I did.

  16             Q.    All right.    And what do you understand the

  17       allegations of misconduct are against Robinhood and its

  18       subsidiaries?

  19             A.    So I'm -- I'm looking at the first exhibit that

  20       you shared with me, my original report, and it's

  21       paragraph 7 where it starts.           Let me go to paragraph 11,

  22       please.

  23                   And I say -- this is, of course, my

  24       understanding -- "Plaintiffs allege that the share prices

  25       of the affected stocks" -- that's nine stocks that are

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    1      named -- plummeted because of Robinhood's unexplained

    2      decision to prohibit all share purchases."

    3                  And so my understanding is in paragraph 11 --

    4      and it does show up in more detail below, but it's my

    5      understanding that there are these restrictions on

    6      purchases during this class week, and in 2021, that

    7      plaintiffs allege caused the prices of these stocks to

    8      fall during that week.

    9            Q.    And did you -- you're aware that the Securities

  10       and Exchange Commission issued a report about the what

  11       they called the meme stock market events, something like

  12       that; right?     Are you aware of that SEC report?

  13                   MR. RYAN:    I apologize.         Objection to form.   It

  14       was an SEC staff report.

  15                   THE WITNESS:     So I cite a report from the SEC

  16       talking about this matter, which had explicit emphasis

  17       on -- yeah.     So I do mention that in my report, and I am

  18       familiar with that report.

  19             Q.    BY MR. ROSEN:      Yes.     It's titled "Staff Report

  20       on Equity and Options Market Structure Conditions in

  21       Early 2021."

  22             A.    Correct.

  23             Q.    All right.     Okay.

  24                   So you read that report?

  25             A.    I have.

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    1             Q.   And in issuing your two expert reports in this

    2      matter, did you assume the truth of the findings in the

    3      SEC report?

    4                  MR. RYAN:   Objection to form.

    5                  THE WITNESS:     I have not thought about it that

    6      way.    If you're -- you're welcome to ask me specific

    7      questions.     There are so many things mentioned in that

    8      report.     I certainly did not assume all of them as facts

    9      in the sense a lot of the report -- my view of reading it

  10       was it was some things reporting, some things

  11       hypothesizing about.        I didn't view it as a normal like

  12       statement of facts.        So I've never thought of it in the

  13       way you're characterizing it.

  14              Q.   BY MR. ROSEN:      Now did anyone at Cornerstone

  15       Research participate in preparing either of your reports?

  16              A.   Yes.   Cornerstone, which obviously is a group of

  17       individuals, assisted me in the preparation of my

  18       reports.

  19              Q.   And do you know about how many people over there

  20       helped?

  21              A.   So I never know exactly because there's people

  22       that move in and out, and also, there's always people

  23       behind the scenes, generally more junior people.         So I

  24       don't know.

  25                   But I would guess in terms of regular contact,

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    1      it might have been something like six or so individuals.

    2            Q.     And what function did they perform in your

    3      report for you?

    4            A.     Sure.

    5                   So this would be no different than my other

    6      cases.      It's a matter of -- so one of the -- one of the

    7      things that they did for me in this case, which is very

    8      typical, is in terms of under my instruction, doing

    9      things with data.      I know that's very generic.     But for

  10       example, collecting data.        For example, in this case,

  11       running regressions, as I describe how to do that.

  12       Doing -- basically acting as a professor would call a

  13       research assistant.      And so helping me draft my report,

  14       which means commenting on my draft, me commenting on

  15       their updates, proofreading, that kind of stuff.

  16                    So it's generally like one would consider a

  17       research assistant, but not for an academic paper, but

  18       for a report of this kind.

  19             Q.     And approximately how many hours have you spent

  20       so far working on these two reports or this Robinhood

  21       matter in total, you personally?

  22             A.     Yes.

  23                    So I never -- you asked approximately, which

  24       makes it very fair because I never really know.         But I

  25       think between the two, I think something like 150, maybe

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    1      200 hours between all this, and I'm maybe including also

    2      prep.

    3              Q.   And do you know how many hours the research

    4      staff at Cornerstone who assisted you spent to date?

    5              A.   I don't.

    6              Q.   What is your definition of a meme stock?

    7              A.   It's obviously a term of art, and it really

    8      shows up in this case.          It's not something that's

    9      generic.      And it's a general mention of the stocks that

  10       are named in this case.          GameStop is obviously -- I would

  11       view as the quintessential one.               But it's stocks that had

  12       lots of social media discussion during this time.

  13               Q.   During this time?

  14               A.   Yeah, during the time of this case.           So, for

  15       example, you know, January 2021 would be sort of a big

  16       period.

  17               Q.   Okay.     Is there a joke element to meme stocks?

  18               A.   I'm not aware of that.

  19               Q.   Okay.     Have you ever purchased equity

  20       securities?

  21               A.   I have.

  22               Q.   Do you have one or more investment strategies

  23       that you've implemented in the past in purchasing equity

  24       securities?

  25               A.   Investment strategy broadly defined, yes.

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    1            Q.    And what type of investment strategies have you

    2      used in the past?

    3            A.    So I am basically an index person.           So I have a

    4      very well-diversified portfolio, and I mean diversified

    5      across countries, asset classes, all that kind of stuff.

    6      So I'm very much -- very diversified.              I would say I --

    7      my only -- only idiosyncratic nature is I'm probably

    8      less risk -- more risk averse than the average person so

    9      I generally keep a higher component of my money in low

  10       risk fixed income than -- than most people do.

  11             Q.    Like corporate fixed income or government fixed

  12       income?

  13             A.    Generally government fixed income.           So of that,

  14       of course, is for tax reasons, I hold a lot of California

  15       municipal bonds, but I also own a lot of relatively

  16       short-term treasury bonds.

  17             Q.    Do you -- do you ever trade on momentum?

  18             A.    I do not.

  19             Q.    Do you ever make short-term trades in equities?

  20             A.    I never have.

  21             Q.    What is the fundamental value of a stock?

  22             A.    So generally, so that's -- that's not a -- that

  23       term can be defined different ways by different people.

  24       Let me try to give you my best understanding of a sort of

  25       umbrella meaning to that.

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    1                  Fundamental value of a stock is the present

    2      value of all future cash flows that you will receive by

    3      holding stock.

    4                  Now that might sound sort of definitional, but

    5      it's actually a very important concept.                We hold

    6      stocks -- they're not like widgets.                We hold stocks for a

    7      particular reason, and that's because we want earnings

    8      from them.     We want cash flows from them.

    9                  And so given that basic idea, anything that

  10       determines those underlying cash flows is what we would

  11       consider a fundamental value.          So, for example, type of

  12       things that influence those future earnings would be

  13       expectation -- excuse me, cash flows, would be

  14       expectations of things like revenues, profits,

  15       competition, and of course, underlying riskiness.

  16                   So it's these company-specific characteristics

  17       that would drive a fundamental value as opposed to

  18       non-fundamental things such as frenzies and bubbles and

  19       madness of crowds, that kind of stuff.

  20             Q.    Is there -- do you know how to derive the

  21       fundamental value of a stock?

  22             A.    Unfortunately, there is no one fundamental value

  23       of a stock.     We try our best to get a good estimate of

  24       it, but it's -- it's a -- something we try to approach.

  25       But I don't believe there is a known fundamental value.

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    1      In a metaphysical sense, maybe there is one that's known

    2      to some sort of deity, but in general, all we can do is

    3      estimate it.

    4                  So I've never thought that there is a

    5      fundamental value that I can grab onto, but we try very

    6      hard to estimate it.

    7            Q.    You've done damages analyses in securities class

    8      actions before; is that right?

    9            A.    Yes.

  10             Q.    All right.   Now have you ever used the term

  11       "true value" in connection with a securities class action

  12       damages analysis?

  13             A.    I don't know.    It's possible.         It's not the type

  14       of term that falls right out of my lips.              So it's

  15       possible.     It's not the normal term I use, but it is

  16       possible I've used that in some report.

  17             Q.    Okay.   So, you know, in the typical Section

  18       10(b) securities class actions, you know, stock drop

  19       case, how would you measure per-share damages?              What's

  20       the simple calculation you would typically use to

  21       measure?

  22             A.    So generally in most of these cases, there's

  23       something I would call conceptual, which is the

  24       difference between an actual value at a time, you know,

  25       in the real world, versus a but-for value, which is a

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    1      value -- I'm not using it in a legal sense, but sort of a

    2      logical economic sense, the value that you imagine would

    3      have been in place at that time had the circumstances

    4      been different.

    5                    So a classic example would be there's a

    6      statement at a point in time, earnings equals ten, in the

    7      but-for world is what if the market thought earnings was

    8      eight.       And you would try to figure out what the but-for

    9      price would be had earnings been announced as eight.              And

  10       it would be the difference of those two at a point in

  11       time.

  12               Q.    So in trying to do the damages analysis, you're

  13       not trying to find out what the true value is absent the

  14       fraudulent statement, but it's you're trying to get the

  15       but-for value, but for the fraudulent -- allegedly

  16       fraudulent statement of value?

  17               A.    So let me answer that again with the caveat I'm

  18       not quite sure -- excuse me -- what "true value" may

  19       mean, but I am trying -- I would be trying to figure out

  20       in that but-for world what the stock price would have

  21       been had circumstances been different.

  22                     So it sounds similar to true value.        I just

  23       wouldn't normally use that term.             You're trying to figure

  24       out, as best you can as an economist, what the stock

  25       price would have been had, in my hypothetical, earnings

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    1      been announced at $8 versus $10.              You were trying to

    2      figure out as best you can what the stock would have

    3      traded for in that but-for world.

    4            Q.    And is it -- is it necessarily true there the

    5      but-for value is equal to its fundamental value?

    6                  MR. RYAN:   Objection to form.

    7                  THE WITNESS:     So, again, I don't normally think

    8      of the fundamental value there.              I don't know.   I would

    9      normally think of it -- I think the best way I convey it

  10       is the but-for price would have been an economist's best

  11       estimate of what the price would have been in the actual

  12       world had the circumstance -- circumstances had been what

  13       is described in the but-for world, what the price would

  14       have been in that world.

  15             Q.    BY MR. ROSEN:      Do you have any sense of what

  16       portion of the volume of trading on the NYSE and NASDAQ

  17       that is represented by investors who buy primarily based

  18       on their view of the fundamental value?

  19             A.    I don't know the answer to that question.

  20             Q.    Okay.   So, well, you know, is it true that

  21       there's a quite a lot of people or there are many people

  22       who -- who are considered -- who consider themselves

  23       value investors or value investing is sort of a strategy,

  24       an investment strategy that people use, some people use.

  25                   Is that fair?

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    1            A.    It is fair.    But I would add that what one

    2      person called a value investor is very different than

    3      others.     I -- I teach a class that's primarily on value

    4      investing.     And even people who are real-world value

    5      investors, they have very different views of what value

    6      investing is.     It's sort of a constant shock to me.

    7                  But value investing as a term is used all the

    8      time among certain kinds of investors.

    9            Q.    Have you ever heard of the investment strategy

  10       called technical analysis?

  11             A.    I have.

  12             Q.    And what do you understand that to be?

  13             A.    So, again, with the caveat that that's a very

  14       broad term, technical analysis is -- technical analysis

  15       is generally used by investors who focus more on what I

  16       would call trends and timing issues.

  17                   So an example of a technical analysis put to

  18       work would be somebody who believes in what you asked me

  19       earlier about momentum.        They may believe over certain

  20       time horizons stocks that went up are more likely to go

  21       up again.

  22                   There are also technical analysts who do the

  23       exact opposite, and they try to find stocks that moved up

  24       recently, and they think they're going to go back down.

  25                   So for any sort of drawing I could do on a

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    1      chalkboard of a price path of a stock, I could find

    2      analysts that see all different -- technical analysts

    3      that see all sort of things.            But in general, technical

    4      analysis is focused on trends and pattern spotting.

    5              Q.     And are there -- are there investment funds that

    6      use technical analysis as an investment strategy?

    7              A.     I'm sure there are.

    8              Q.     What about high-frequency trading?      Could --

    9      what exactly is this?

  10               A.     Sure.

  11                      It -- a lot of high-frequency trading would fit

  12       into technical analysis.          So high-frequency trading, very

  13       generally, is doing some sort of pattern recognition, but

  14       as the name implies, over very short frequencies,

  15       sometimes fractions of a second.

  16                      And generally nowadays, they're computer driven,

  17       and the competition in that world has gotten down to who

  18       has the fastest connection to the trading platform.               And

  19       so they compete over large amounts of investments in some

  20       sort of wire or wireless technology to trade as fast as

  21       possible, seeking profits from very short-term trading

  22       patterns.

  23               Q.     Now I've heard the term "program trading" in the

  24       past.        Is that -- is that a broader -- is -- is

  25       high-frequency trading a subset of program trading?

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    1            A.    I would say so because they're both often --

    2      obviously for high frequency, they're computer generated,

    3      there's not an individual that's thinking in split

    4      seconds.     They're both computer driven.

    5                  But there's a large body of trading that's

    6      program trading that's very different.             So an example

    7      might be a strategy that uses a computer to formulate

    8      hedges.

    9                  So an institution might use computer trading

  10       that would invest in an equity that the computer figured

  11       out how to get an insurance like put option on it at the

  12       same time to get rid of some of downside.

  13                   And that's not necessarily the same thing as

  14       high-frequency trading.

  15             Q.    And earlier the term "momentum trading," I don't

  16       know if I mentioned it or you mentioned it.             Could you

  17       explain what "momentum trading" is?

  18             A.    Sure.

  19                   Let's just be generic for the moment and just

  20       say there is a horizon, which could be a week or a month

  21       or a day.     And momentum generally believes that what we

  22       call there is positive auto-correlation.             That is a rise

  23       in a security's price over a particular period of time is

  24       more highly to be followed by a subsequent rise.

  25                   So that's a particular pattern, and momentum

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    1      traders sometimes believe there are such patterns over

    2      these split seconds that we previously spoke about.             But

    3      they also believe that it may also be true over longer

    4      periods like weeks or months.

    5                  I am not aware of a momentum trader that

    6      believes they last for many years.             In fact, generally

    7      people believe the opposite over longer periods of time.

    8            Q.    What about the investment strategy called trend

    9      following?     Is that separate from momentum trading?

  10             A.    I would put -- so that's not a term that I use.

  11       I would view trend following as a -- as an analogous term

  12       for technical analysis.

  13             Q.    Okay.   So what about "swing trading"?         Do you

  14       know what "swing trading" is?

  15             A.    I don't.

  16             Q.    How about the investment strategy called "moving

  17       average crossover"?

  18             A.    I know what a moving average is.          That's sort of

  19       a -- you know, if you have a list of data, you can

  20       calculate an average, and then every day that data shifts

  21       forward another day, and you can calculate another

  22       average.     And you can track those averages over time.

  23                   That's all -- I know what a moving average is.

  24       The strategy you're talking about conveys that it uses

  25       the moving average, which sounds like technical analysis,

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    1      but I do not know that particular strategy you mentioned.

    2            Q.    Okay.    And you mentioned index investing.

    3      That's another separate strategy; is that correct?

    4            A.    I would say so.      In my view, yes, it is.

    5            Q.    And what about growth investing?               Is that

    6      separate from value investing?

    7            A.    It is.    With the same caveat.             Some people say

    8      growth investing sounds just like someone else's value.

    9      But in general, growth investing is what it sounds like.

  10       You're trying to find stocks that are going to grow

  11       faster than others in the future.

  12             Q.    What about socially responsible investing; is

  13       that a separate investment strategy?

  14             A.    So I would mostly say yes.               I'm not 100 percent

  15       sure I would call it wholly an investment strategy.                    It

  16       could also be a more broad strategy of what people view

  17       as something that's good for society as opposed to what's

  18       good for their portfolio.         They get enmeshed.

  19                   But social investment strategy is a strategy

  20       where investors take into account things other than

  21       financial values, and you can come up with your own list

  22       of what they're looking at, but it could be whatever they

  23       think is good for society, they may take that as an

  24       attribute and something that makes them want to invest

  25       more in it.

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    1            Q.    What about the investment strategy called

    2      "events-driven investing"?        Have you heard that term?

    3            A.    I believe so.

    4            Q.    And that's, for example, mergers or investing

    5      when a merger is announced?         Is that an example of

    6      events?

    7            A.    That would be my understanding.        There's a hedge

    8      fund strategy that they will call events driven, and

    9      sometimes it's things that are even broader in a macro

  10       context.     Like I think of a George Soros as doing this

  11       kind of thing.     About sort of like large events dealing

  12       with monetary policy and things like that.           So I'm

  13       familiar with events, not just corporate events, but also

  14       macro events, too.

  15             Q.    Now we -- your -- your -- your report mentions,

  16       it uses the term "short squeeze," and you understand what

  17       that -- you have a general idea of what a short squeeze

  18       is supposed to be; right?

  19             A.    I think that you put it correctly.        I have a

  20       general idea.     It's a bit of a term of art.        As I think I

  21       convey in my report, the definitions vary, but we all

  22       agree on some basic principles of a short squeeze.

  23             Q.    Do you -- do you think it would be fair to

  24       characterize investing because you believe there is a

  25       short squeeze to be a form of event-driven investing?

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    1             A.   I -- I don't really have a good answer to that

    2      because I don't use the phrase "event-driven investing."

    3      I don't disagree with it.          It's just -- it's not a phrase

    4      I would normally use so I'm not sure how to answer that

    5      one.

    6             Q.   Is that because the term "event driven" is so --

    7      is very vague?

    8             A.   I wouldn't even go that far.              I would just

    9      simply say event-driven investing isn't the kind of term

  10       I normally do.      So I don't really want to venture out and

  11       offer an opinion on a phrase that I normally don't do.

  12                   Part of it's vagueness, but it's vagueness in my

  13       own mind.     It's possible there are traders on Wall Street

  14       who would say, "I know exactly what you mean by that."

  15       But "event driven" to me is a very broad term.                 So I'm

  16       not really sure how I would convey that.

  17              Q.   What about "contrarian investing"?              Is that a

  18       type of investment strategy that people use?

  19              A.   Yes, it is.

  20              Q.   And how does that work?

  21              A.   So --

  22              Q.   Or not work?

  23              A.   Sure.

  24                   As a general principle, a contrarian does what

  25       it sounds like.      They try to make investments that are

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    1      currently out of favor with the idea that they think that

    2      things will turn around.

    3                  So I would view a contrarian strategy as being

    4      somewhat the opposite as a momentum trader.

    5            Q.    All right.   So there are nine stocks that are

    6      the subject of this litigation that are listed in the

    7      Complaint.     I'll name a couple of them.          AMC, GameStop,

    8      Koss, Bed Bath & Beyond, Blackberry, et cetera.

    9                  You're familiar with those nine stocks; right?

  10             A.    I am.

  11             Q.    I'll just -- I'll just use the term "nine

  12       affected stocks" or the nine stocks if that is -- and if

  13       you don't understand my use of the term, let me know, but

  14       I'll -- rather than list all nine.

  15                   So do you -- is it your opinion that those nine

  16       stocks were overvalued as of close of trading on

  17       January 27, 2021?

  18             A.    So that is not part of my opinion.          It's

  19       related -- the question is obviously related to my

  20       opinion that as of that period of time, I don't believe

  21       they traded in efficient markets.             That's my opinion.

  22                   Now whether they were above or below some sort

  23       of value, I didn't form an opinion on that.             I -- my

  24       opinion was whatever their value was, it wasn't tethered

  25       to value-relevant information.

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    1                  THE REPORTER:     Excuse me.        Nicholas Lin is

    2      asking to join the deposition.

    3                  MR. RYAN:    Yes, he is with Robinhood.         He's an

    4      inhouse lawyer at Robinhood.

    5                  (Nicholas Lin enters deposition room.)

    6                  THE REPORTER:     Thank you.

    7                  MR. RYAN:    Thank you.

    8                  THE REPORTER:     You can continue, Counsel.

    9            Q.    BY MR. ROSEN:     Professor Grenadier, would you

  10       agree that price is typically the best estimate of value

  11       for publicly traded stock?

  12             A.    I'm sorry, I actually didn't hear the -- I

  13       didn't quite hear the end of your sentence.              I don't hear

  14       everything crystal clear.         I hear everything pretty

  15       darned good, but I didn't get that one.

  16                   MR. ROSEN:    Let me close my window because it

  17       could be noise from the outside.

  18             Q.    Would you agree that typically price is the best

  19       estimate of value for publicly traded stocks?

  20             A.    So in the context -- if I believe for these

  21       stocks, they are traded in an efficient market, which is

  22       often the case, then yes, I would agree with you.

  23             Q.    Okay.   And for stocks that are not traded in an

  24       efficient market, what is the best estimate of value if

  25       not price?

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    1            A.     Then that's an almost impossible question to

    2      answer.      Because if you can't rely on the price as the

    3      best estimate of value, in an efficient market, we're

    4      left to individual calculations.             So I don't know what

    5      more I can say is investors would have to use other

    6      resources to value them, not necessarily silly resources,

    7      but sometimes very sophisticated resources to value them.

    8      In some grand scheme of things, the people with the best

    9      information and the best methods would probably come up

  10       with the best estimate of -- of, you know, true value or

  11       whatever you want to call it of a security, but there's

  12       no one thing that we would all rely on.

  13             Q.     And you didn't perform any tests to try to

  14       estimate the value of any of these nine affected stocks

  15       either in the pre-class period or the class period?

  16             A.     Let me make sure I understand your question.

  17                    So in terms of did I do any tests to try to

  18       value?      Can you -- can you give me an example of what you

  19       might mean?

  20             Q.     Well, I don't know.       Did you do a discounted

  21       cash flow analysis of any of the nine stocks?

  22             A.     I did not.

  23             Q.     Did you perform any other analyses in an effort

  24       to try to determine what their fundamental value was at

  25       any time during the pre-class or class period?

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    1            A.    I did not.     My focus was on the prices

    2      themselves, or more importantly, the movements of the

    3      prices themselves of the -- I think you call the affected

    4      stocks, and what was the value relevant information that

    5      was conveyed at those times.            That, of course, was the

    6      substance of my report.

    7            Q.    Can you -- do you recall what the specific

    8      restrictions were that Robinhood imposed on these nine

    9      stocks on January 28th, 2021?

  10             A.    So I'm happy to answer that with a general

  11       conveyance of that information.              Of course, there was a

  12       table with my specific understanding about literally

  13       which stocks, which time of day.

  14                   But my understanding is they changed over time,

  15       but there are these so-called PCO restrictions from

  16       Robinhood.

  17                   Quick question:       My understanding is you said

  18       Robinhood restrictions; is that correct, in your

  19       question?

  20             Q.    Yeah, yeah.     I was just asking about Robinhood.

  21             A.    That was my recollection, but before I went on

  22       and on, I wanted to make sure.

  23                   Yes.   And those restrictions are essentially

  24       sell only, no buy.        And then over time, they changed.

  25       But in general they weakened to things such as limits on

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    1      how much you could buy rather than zero.              And they moved

    2      over time.

    3            Q.    And there were also some restrictions on -- I

    4      think, on options or did they not have -- or they can --

    5      they cancelled purchase orders of stocks; right?

    6                  MR. RYAN:     Objection to form.

    7            Q.    BY MR. ROSEN:      Also?

    8            A.    I don't recall that.          It's possible I read that.

    9      I was focused mostly upon the restrictions on purchases

  10       of equities.        So whether it was zero or some small

  11       positive number.        Also, my understanding is there were

  12       some margin requirements that were changing, too.

  13             Q.    And do you know -- could you tell me why

  14       Robinhood submitted those restrictions, the purchase

  15       restrictions?

  16             A.    Did you say why Robinhood like used those

  17       purchase restrictions; is that your question?

  18             Q.    Yeah, why they implemented those restrictions.

  19             A.    Sure.

  20                   So my understanding is that Robinhood did this

  21       because of regulatory requirements about sort of their

  22       own margin that they had put down on these stocks which

  23       had high VARs.        And so they were very expensive for

  24       Robinhood the post these amounts, and these were the

  25       stocks -- generally the ones that are at issue in this

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    1      case are ones with the very highest VARs.

    2            Q.    Now there were also some restrictions on options

    3      trading.     Now I know interactive brokers, for example,

    4      had some restrictions in options trading on the 28th; is

    5      that right?

    6            A.    I don't remember.

    7            Q.    Uh-huh.   Do you have any opinion as to whether

    8      restrictions on options trading would affect the prices

    9      of the nine stocks?

  10             A.    I -- I can't answer that.          I have not been -- I

  11       have not looked into that in this case.             It's a fair

  12       question, but it's not something that I was asked to look

  13       at so I really can't answer that question.

  14             Q.    Now the Complaint also alleges that Robinhood

  15       cancelled buy orders that it already had placed.

  16                   Do you have any opinion as to whether

  17       cancellation of buy orders already placed would affect

  18       the value of stock, the nine stocks?

  19             A.    So I do to the extent that what I say in my

  20       report is in terms of the sort of behavior, that in an

  21       efficient market, restrictions on a subset of retail

  22       investors should not impact the stock price.

  23             Q.    Do you have any empirical evidence to back up

  24       that opinion?

  25             A.    I would say I would base this on fundamental

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    1      principles of finance and economics and belief in

    2      investors' profit motive to arbitrage away simple

    3      profits.

    4            Q.    So it's a theoretical opinion?

    5                  MR. RYAN:   Objection to form.

    6            Q.    BY MR. ROSEN:     It's an opinion based on theory

    7      rather than empirical evidence?

    8            A.    So I would argue no.        There is ample empirical

    9      evidence of those principles I just said, and that is

  10       clear and obvious public kinds of arbitrage opportunities

  11       don't last for long.        We would all -- if it was obvious

  12       that somebody could say, I am going to institute

  13       something that impacts a small segment of retail

  14       investors," and hypothetically assume for a moment's time

  15       that impacted the price, say it lowered price, that is

  16       low-hanging fruit.      And investors would see that, and it

  17       would not last very long at all.            They would rush to

  18       arbitrage that and purchase it if it was at too low a

  19       price.

  20                   And there's -- just to finish up.         Sorry.

  21       There's a lot of empirical evidence that such arbitrage

  22       opportunities, to the extent they ever exist, are much --

  23       are very fleeting.

  24             Q.    So is it your opinion that the restrictions

  25       imposed by Robinhood had no impact on the price of the

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    1      nine affected stocks in any way?

    2             A.   I don't have -- I don't have that opinion either

    3      way.    There is -- I don't form an opinion in my reports

    4      about causation.      I have an opinion that I talk about

    5      that there is not an efficient market in these nine

    6      at-issue securities during the period of time that I

    7      analyzed, which is one week prior to the class period and

    8      the class period itself.

    9                  I also related to your question do say -- and

  10       I'll be slightly repetitive because I said this a moment

  11       ago -- that if we believe that the stocks traded in an

  12       efficient market during the class period, then it is

  13       fundamentally inconsistent with that assumption to

  14       believe that a restriction on a subset of retail

  15       investors would cause the price to change.

  16                   So that's my opinion, but I don't vary from that

  17       and assume what could happen in an inefficient market and

  18       what caused the price to decline.             I -- I was not asked

  19       to do that in these reports.

  20              Q.   Okay.   Have you ever heard the term, quote,

  21       assumption of reliance on an efficient market free of

  22       manipulation, unquote?

  23              A.   I believe I have, yes.

  24              Q.   It's -- it's in the Court's opinion as an

  25       element of one of the plaintiff's claims that is the

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    1      10(b) claim?

    2            A.    I -- that's my recollection.            It may even show

    3      up in one of by reports, probably as a quote or

    4      reflection of that.

    5            Q.    And what is your understanding of what that

    6      means, that term?

    7            A.    Can you assist me by isolating that term again

    8      for me?

    9            Q.    Assumption of reliance on an efficient market

  10       free of manipulation.        I can show you the Court opinion

  11       if it helps.

  12             A.    Sure.   I might even be able to find it in my

  13       report.

  14             Q.    It's page 38 of the Court opinion.

  15             A.    Is that something you're sharing with me.

  16                   MR. ROSEN:   I could.       Hang on a second.      Give me

  17       one second.     I don't think I've introduced it before so

  18       it will be Exhibit 177.

  19                   (Exhibit 177, Court Order, was marked for

  20                   identification by counsel electronically.)

  21             Q.    BY MR. ROSEN:     Okay.     So if you go -- you should

  22       be able to see it now.        It's in Exhibit Share.

  23             A.    I do.

  24             Q.    Go to page 38.     38, second paragraph.         The

  25       Court's -- the elements of a market manipulation claim in

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    1      element number 3.

    2            A.    Sorry, I was absorbed with downloading it.            So

    3      can you give me the -- where --

    4            Q.    It's page 38.

    5            A.    Okay.

    6            Q.    Second paragraph in three.

    7            A.    Is that the paragraph that begins with "to

    8      assert"?     Yes.

    9            Q.    Yes.     It's item number 3.

  10             A.    Like I said, I was absorbed downloading it so

  11       that's why I missed that.          Give me one second to just

  12       sort of review that.

  13             Q.    No problem.

  14             A.    Okay.     And just to be clear -- I'm sorry --

  15       "caused by reliance on an assumption of an efficient

  16       market free of manipulation."             That's the phrase at issue

  17       in your question?

  18             Q.    Yes.

  19             A.    Okay.

  20             Q.    And what do you understand that to mean?

  21             A.    Sure.

  22                   So obviously, I'm going to be careful about

  23       legal terms.        I'll do my best as an economist.       As a

  24       common phraseology meaning, it also has a legal term.                  So

  25       I'm not going to be an expert on what "reliance" means.

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    1      And also, "manipulation" has both, too.            So I'm not going

    2      to be an expert of defining what act would constitute

    3      legal manipulation.     So with those caveats, let me do my

    4      best to answer your question.

    5                  So an efficient market has an -- obviously a

    6      strong meaning in economics.         So the assumption of an

    7      efficient markets and reliance -- I'm going to just --

    8      for purpose of my answer, I'm going to talk about

    9      reliance not as my understanding as a legal term.            So

  10       reliance will be sort of something that you believe to be

  11       true as an individual or class of individuals.

  12                   So in the assumption of an efficient market.          So

  13       in my report I define what economists define as an

  14       efficient market.     But broadly speaking, an efficient

  15       market is where prices of securities react quickly and

  16       fully to new value-relevant information.

  17                   And then the last part of this phrase is "free

  18       of manipulation."     So generally speaking, in sort of an

  19       economist meaning, I would view a manipulation as

  20       something that would make a market that is efficient not

  21       efficient.

  22                   So it would mean that if a market had

  23       manipulation that was effective in impacting the stock

  24       prices, then that price would no longer be under the

  25       definition of an efficient market that I just defined.

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    1            Q.    Are you offering any opinion in this case as to

    2      whether plaintiffs' class are entitled to an assumption

    3      of reliance on an efficient market free of manipulation?

    4                  MR. RYAN:   Objection to form.

    5                  THE WITNESS:     So that is not part of my report.

    6      My report focuses, among some other things, on whether as

    7      an economist I believe that these nine affected stocks

    8      traded in an efficient market during the week prior to

    9      the class period and the week of the class period.

  10                   So it was I viewed my role and my opinion as

  11       focusing on whether I believed those stocks in reality

  12       traded in an efficient market or not.                 And it's my

  13       opinion that they did not during that time period.

  14             Q.    BY MR. ROSEN:      All right.        Now you've heard the

  15       term "reliance on the integrity of the market price in a

  16       efficient market"?

  17             A.    I have seen that before.

  18             Q.    That's part of the -- well, in my -- my view,

  19       it's part of the -- part of the market presumption of

  20       reliance in the securities class actions -- in the

  21       typical security class action misrepresentation case;

  22       right?

  23                   So do you -- in your -- in your view, what does

  24       it mean for an investor to make their investment

  25       decisions by relying on the integrity of the market price

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    1      in an efficient market?

    2                  MR. RYAN:   Objection to form.

    3                  THE WITNESS:     So I'm going to answer that as I

    4      always say as an economist, because I do understand some

    5      of that phrase, in particular, reliance involves a legal

    6      concept, and I don't think anyone's interested in

    7      Professor Grenadier's legal concept understanding.

    8                  When I -- I am certainly well aware of cases

    9      where there's fraud on the market, legal construct behind

  10       it.   And my role in those cases, just like in this case,

  11       is to come up with an economist's opinion about whether

  12       or not the market was efficient or not during a

  13       particular time period.

  14                   So just to be clear in my answer to your

  15       question, all that I am offering here in my reports is my

  16       opinion about whether or not I believe these nine stocks

  17       traded in an efficient market during those time periods.

  18       That's my contribution to it.

  19                   Then my understanding is the trier of fact can

  20       use that to formulate her opinion.               But it's I don't go

  21       beyond that and make any legal ramifications on that.

  22       I'm simply acting as an economist to give my opinion, in

  23       this case, that these nine stocks did not trade in

  24       efficient markets during that two-week period.

  25             Q.    BY MR. ROSEN:      Now do you understand there to be

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    1      a difference between an assumption of reliance on an

    2      efficient market free of manipulation --

    3                  THE REPORTER:      Excuse me.        Can you repeat,

    4      Counsel?     You cut out there at the end.

    5            Q.    BY MR. ROSEN:      -- as the Court wrote in page 38

    6      of his opinion and the term "a reliance on the integrity

    7      of the market price in an efficient market"?

    8                  MR. RYAN:    Objection.        Calls for a legal

    9      conclusion.

  10                   THE WITNESS:     Are you -- are you quoting from

  11       page 38, Mr. Rosen?

  12                   MR. ROSEN:     The first one, I was quoting from

  13       page 38, you know.       Well, we can go back to it, if I can

  14       find it here.     "Reliance on an assumption of an efficient

  15       market free of manipulation."

  16                   THE WITNESS:     Yes, that's still on my screen.

  17             Q.    BY MR. ROSEN:      All right.        So you don't have an

  18       opinion or an understanding one way whether it's the same

  19       or different from reliance on the integrity of the market

  20       price?

  21                   MR. RYAN:    Same objection.

  22                   THE WITNESS:     Yeah.      That sounds like a legal

  23       opinion.     I don't.    I'm an expert on what an efficient

  24       market is, and that's my opinion.               I am not an expert on

  25       reliance and things like that.

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    1                  So I don't want to -- I don't want to offer

    2      opinions that are outside my field of expertise, which is

    3      financial economics.

    4            Q.    BY MR. ROSEN:    All right.        So in your rebuttal

    5      report -- see if I can find it.            It's paragraph 28.

    6            A.    Approximately what page?

    7            Q.    It would be page 11 of the PDF, page 9 of the

    8      report itself on the lower right.

    9            A.    Perfect.

  10             Q.    Paragraph 28.    This is the March 28th rebuttal

  11       report you issued.

  12             A.    Okay.   Is that the paragraph that begins with

  13       the word "furthermore"?

  14             Q.    Yes.

  15             A.    Okay.

  16             Q.    So there's a sentence in there that says,

  17       "Therefore, during the proposed class period to the

  18       extent that putative class members were aware of

  19       Robinhood's restrictions and what plaintiffs allege were

  20       'artificially distorted' prices, they would have

  21       transacted based on their own individual information or

  22       preferences without trusting the integrity of the market

  23       prices."

  24             A.    Yes.

  25             Q.    So I'm going to ask you some questions about

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    1      that sentence.

    2                  What do you mean when you say "they would have

    3      transacted based on their own individual information or

    4      preferences?        What does it mean to have -- to be

    5      transacting based on one's own individual information or

    6      preferences?

    7            A.    Sure.     I will most certainly answer that.

    8                  I'm just going to read that.              While you were

    9      talking, I did not read the sentence.                 I'm just going to

  10       read that now.

  11             Q.    Go ahead.

  12             A.    And if for some reason I forget, just prod me to

  13       answer your actual question.

  14                   Okay.     So to answer that, it's important to read

  15       earlier on in 28.        Because I am saying that if we suppose

  16       something, then the markets would be inefficient.

  17                   So in context to your question, I am now

  18       assuming that the markets were not efficient during this

  19       period.     And when the markets are not efficient, then an

  20       earlier question you asked me, what is -- in an efficient

  21       market, I said the best estimate of a stock price's value

  22       is the stock price's value.

  23                   In fact, the best estimate of a stock price's

  24       value one minute from now in an efficient market is

  25       essentially -- is a stock value.

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    1                   When we leave the assumption of an efficient

    2      market, which is what I'm getting at in this paragraph

    3      here, then as I said earlier, all bets are off.         And in

    4      fact, what investors will make their beliefs -- will form

    5      their beliefs for what to do, whether to buy or sell or

    6      hold, it's going to be subject to their own personal

    7      preferences and knowledge.

    8                   And I know that sounds vague, but that's what

    9      happens.      If you can't take the current stock price as

  10       its best estimate of its value, then all bets are off,

  11       and I don't know what you're going to do and you don't

  12       know what I'm going to do because we have different

  13       beliefs, we have different liquidity preference and the

  14       like.

  15                    And basically what I'm saying here is if there

  16       are not efficient markets, then investors will make their

  17       decisions like buying and selling and holding on

  18       idiosyncratic rationale.

  19               Q.   Well, don't they do that, anyway, even in an

  20       efficient market?      Why does it change -- why does their

  21       decision making change when the market becomes

  22       inefficient?

  23               A.   Sure.

  24                    The major issue is the -- while investors in an

  25       efficient market will make buy and sell decisions based

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    1      on some idiosyncratic understandings, it's way more

    2      involved in an inefficient market.

    3                  So what I mean is:      In an efficient market, you

    4      may have liquidity preference and the like, but it's

    5      still going to be based on an understanding that the

    6      current value is the true value.

    7                  On the other hand, when markets are not

    8      efficient, not only are you making decisions based on

    9      liquidity and preferences, but you're making decisions

  10       based on what you think the value is divorced from what

  11       you're seeing in the stock market page.

  12                   It's way more involved and much more complicated

  13       to figure out what an investor would do in an inefficient

  14       market.     Because they have nothing to base their

  15       valuation decisions on that's publicly available.         What

  16       they have to do as an investor is essentially do

  17       something that you asked me to do earlier:         Did you value

  18       the stock?

  19                   And I said how?

  20                   And you said maybe an MPV analysis or maybe I'm

  21       a momentum trader.     I don't know, but that's the kind of

  22       things investors would do.

  23                   Just to be very clear on this, without an

  24       efficient market, any decisions that I make that embodies

  25       a view of the value of the stock compared to its price,

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    1      without efficiency, I need some model.                And it could be

    2      MPV, it could be momentum, it could be mean reversion.                  I

    3      don't know, but every investor is going to have to have

    4      some sort of model, and that is vastly more complicated

    5      than in a world where everybody would agree that the best

    6      estimate of the value is today's stock price.

    7            Q.    Well, what about fear?           What about investors'

    8      fear if they think there's an inefficient market or if

    9      there is an inefficient market and -- and they don't have

  10       a basis to value the stock all the sudden.                Wouldn't that

  11       fear enter into their analysis trading decision?

  12                   MR. RYAN:   Objection to form.

  13                   THE WITNESS:     So in your -- in your -- your

  14       question, were you assuming an inefficient market?

  15             Q.    BY MR. ROSEN:      Yeah.

  16             A.    So let me rephrase it to make sure I understand,

  17       that you're asking me in inefficient market, would an

  18       investor's degree of fear influence their trading?

  19             Q.    You said "inefficient market"?

  20             A.    Correct.

  21             Q.    Yeah, yeah, that was my question.

  22             A.    Sure.

  23                   So in an inefficient market, a investor's fear

  24       certainly could influence their trading behavior.                And

  25       fear I would put into the general category of

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    1      preferences.

    2            Q.    And could -- and let's say in an efficient

    3      market, couldn't fear also play a role in their

    4      preferences?        How would it differ in an efficient market,

    5      in an efficient market?

    6            A.    Sure.

    7                  So preferences would influence an investor's

    8      behavior also in an efficient market, but that would be

    9      entirely separate from any concern the investor has over

  10       the difference between the market price of the stock and

  11       what they think its value was.

  12                   And so all of that kind of calculus becomes much

  13       more meaningful and complicated in an inefficient market.

  14       Because, for example, in your question, the amount of

  15       fear you have is going to be a function of how much faith

  16       you have on the market value being a fair value.

  17                   If you don't have any faith in the market value

  18       being a fair value, your fear would be manifested much

  19       more highly.

  20             Q.    Okay.     So let's -- in paragraph 28 in your

  21       rebuttal report, there's another sentence that begins --

  22       I think it's the last sentence, that begins, "As a

  23       financial economist, I am not aware of a class-wide

  24       approach to determine which putative class members

  25       believe that prices were efficient when transacting in

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    1      the at-issue stocks and which believed the prices were

    2      artificially distorted without asking each putative class

    3      member individually."

    4                  What -- what is your definition of "artificially

    5      distorted"?

    6            A.    So I believe when I used that phrase I was

    7      quoting from earlier in the paragraph.                So in the -- so

    8      because remember here the premise here is an assumption,

    9      not my opinion.      In other words, what I'm saying is like

  10       a "what if" or a hypothetical, as you might call it.

  11                   If plaintiffs were able to show that the alleged

  12       manipulation, these trading restrictions that you asked

  13       me earlier about, resulted in artificially distorted

  14       stock prices and inefficient markets.

  15                   So what I mean by that, artificially distorted

  16       would be prices that deviated from their efficient market

  17       values.

  18             Q.    Okay.   Does somebody -- does a class member or

  19       investor have to consciously believe that they're trading

  20       in an efficient market to be permitted to rely on the

  21       integrity of the market price?

  22                   MR. RYAN:   Objection.         Calls for a legal

  23       conclusion.

  24                   THE WITNESS:     I don't know the answer to your

  25       question.     Because in particular, it uses the word

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    1      "reliance," and in my understanding, that's a legal term.

    2            Q.    BY MR. ROSEN:   Well, that last sentence in

    3      paragraph 28 says, "I'm not aware of a class-wide

    4      approach to determine which putative class members

    5      believed that prices were efficient when transacting the

    6      at-issue stocks."

    7                  I'm just wondering why that's important to your

    8      opinion or important enough to make that statement.

    9            A.    Sorry, I don't quite understand your question.

  10             Q.    Well, the sentence you wrote in that report

  11       says, "I am not aware of a class-wide approach to

  12       determine which putative class members believed that

  13       prices were efficient."

  14                   Why is it important or even relevant that a

  15       class member believe that prices were efficient?

  16             A.    So it certainly could be important if we have a

  17       world where the markets are not efficient, and

  18       Dr. Werner, for example, is coming up with an approach to

  19       estimating but-for stock prices.

  20                   So hypothetically, if he was trying to estimate

  21       what a stock price of GameStop would be in a world

  22       without these trade restrictions, but with trade

  23       restrictions of E*TRADE, for example, he would have to

  24       come up with the market value in such a world.         We talked

  25       about that earlier.

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    1                     Trying to come up with a market value in a world

    2      where some investors believe in efficient market and some

    3      investors don't believe in efficient market is quite a

    4      complicated endeavor.

    5                     You would have to -- to come up with that

    6      but-for stock price, look at the interactions of those

    7      subsets of investors, and in particular, for the subset

    8      that do not believe in efficient market, try to ascertain

    9      what they used to motivate their trading restrictions,

  10       which would, of course, involve their estimate of what

  11       the value of the stock would be.

  12                      MR. ROSEN:    We've been going about an hour and a

  13       half.        Do you guys want to take a break, a short break?

  14                      MR. RYAN:    Sure.    Makes sense.

  15                      MR. ROSEN:    So you guys are all on Pacific time;

  16       is that right?

  17                      THE REPORTER:     Off the record, Counsel?

  18                      MR. ROSEN:    Yeah, go off the record.

  19                      (Recess.)

  20               Q.     BY MR. ROSEN:     So prior to the break, we were

  21       looking at paragraph 28, that last sentence of your

  22       rebuttal report, and I want to focus on that a little bit

  23       more, you know, particularly the clause that says, "I am

  24       not aware of a class-wide approach to determine which

  25       putative class members believe that prices were efficient

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    1      when transacting the at-issue stocks."

    2                  Is it your opinion, Professor Grenadier, that if

    3      somebody believed the prices were distorted by the

    4      restrictions, the purchase restrictions, that means

    5      they're not allowed -- that means that they knew the

    6      market was not efficient?

    7            A.    So was your question if somebody -- actually,

    8      maybe it's more efficient if you just ask it again for

    9      me, please.     The last part of your question.

  10             Q.    Is it your opinion that if -- if an investor

  11       during the class period believed that the prices were

  12       distorted because of the purchase restrictions on the

  13       nine affected stocks, that means they knew the market for

  14       the stocks was not efficient at that time?

  15             A.    So I want to distinguish between my

  16       determination of what's an efficient market and what

  17       might be in a investor's head.          So I'm not contending

  18       that an individual investor literally uses the phrase

  19       "efficient" versus "non-efficient."

  20                   What I'm saying is if an investor believed that

  21       there was an artificial distortion, meaning that the

  22       price of the stock was not that which would be an

  23       efficient market, where prices are tethered to

  24       value-relevant information, if that investor no longer

  25       believed that the market price was not the best estimate

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    1      of its value, then they would be trading in a world where

    2      it was not an efficient market.

    3                  As an economist, I would say if an investor

    4      trades in a world that's not an efficient market, as I

    5      said earlier, all bets are off.              They will make their

    6      decisions based on some belief of what value is versus

    7      what price is.

    8            Q.    Well, what about an investor that's engaged in

    9      program trading or high-frequency trading.              Suppose that

  10       investor has no -- I mean, these programs, I assume these

  11       programs aren't reading the news, necessarily, and

  12       learning about Robinhood's restrictions.

  13                   I mean, would a stock sale that was implemented

  14       because of a programmed trade, would such an investor be

  15       aware of distorted prices?

  16                   MR. RYAN:   Objection to form.

  17                   THE WITNESS:     So the nature of the kind of

  18       investments that I'm talking about in this case are very

  19       different than what you would think about with people who

  20       use computer programs to trade over tick-by-tick prices.

  21       So those are not even essentially statistically

  22       distinguishable.

  23                   So, for example, the firms that trade intraday

  24       tick by tick are trying to make money on very small basic

  25       points.     So that's -- it's not something that I'm even

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    1      picking up in this.

    2                  So I understand the nature of your question, but

    3      that's -- that's a very different world that these

    4      high-frequency traders are trading not on dollar

    5      differences but like penny differences.                And I'm not --

    6      that's like nothing I'm talking about in this case.                   I'm

    7      talking about, you know, meaningful differences in

    8      values.

    9                  So when stock prices move, for example, on costs

  10       and they move up a thousand percent in a week, that's a

  11       world that's totally disconnected from what your question

  12       is talking about.

  13                   So I'm not really concerning myself with

  14       microfractions of a dollar.         I'm talking about what

  15       happens in a market that's no longer efficient in a

  16       world, as in this case, where prices, for example, in the

  17       week prior to the class period, went up by GameStop by

  18       something like 700 percent.         It's just orders of

  19       magnitude difference.

  20                   So my answer is I don't even think about that

  21       tick-by-tick kind of trading.          I'm talking about these

  22       sort of 700 percent, thousand percent price rises.

  23             Q.    BY MR. ROSEN:     Well, okay.          What about two

  24       retail investors.     Three -- let's say there's three types

  25       of retail investors.        One retail investor never reads the

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    1      news, doesn't go to social media, lives in his own little

    2      world.

    3                  Another retail investor is addicted to social

    4      media and the news and The Wall Street Journal and

    5      financial media, and that investor believes the prices

    6      were distorted.

    7                  And then the third investor also has equal

    8      access to news media, looks at Reddit nonstop, looks at

    9      The Wall Street Journal, all the financial news media,

  10       but that investor doesn't necessarily take a view as to

  11       whether the prices are distorted.             Maybe that investor's

  12       just confused, unsure, doesn't really take a position.

  13                   So the first person who's completely ignorant of

  14       anything other than what he looks at when he sees the

  15       price, just sees that the price has changed, but doesn't

  16       know -- have any view as to why or how or what.             When

  17       that person transacts and sells, would that person

  18       presumably believe that the prices were efficient when

  19       transacting?

  20                   MR. RYAN:   Objection to form.

  21             Q.    BY MR. ROSEN:    Or would have no reason to

  22       believe otherwise, at least?

  23             A.    So in a normal circumstance, it doesn't matter.

  24       What I mean is, in a normal circumstance, we mostly think

  25       of stock markets as efficient.           And so in most markets

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    1      that I believe are efficient, there are undoubtedly

    2      traders that do all sorts of things.               But that doesn't

    3      impact the price.     And the reason it doesn't is because

    4      we have institutional investors and arbitrageurs --

    5      excuse me -- who ensure that the market price is tethered

    6      to value-relevant information.          And so the actions of

    7      individual traders that are a small section of the market

    8      generally don't matter.

    9                  And so in an efficient market, I never believe

  10       that every investor is this super-intelligent person that

  11       just floats with the market.         All sorts of investors

  12       exist in the real world in efficient markets.

  13                   What the point of my paragraph 28 in my opinion

  14       is, in a world, which is what I believe is the case for

  15       these two weeks for these nine stocks, the markets were

  16       no longer tethered to value-relevant information.

  17                   That's a very special world.            It's the normal

  18       one, but it's the one that I truly believe existed at

  19       that time for this set of stocks.            That's where it does

  20       matter.

  21                   And the reason is because for those three

  22       investors that you talked about, I can imagine them

  23       having different reactions to what happened after, for

  24       example, costs went up a thousand percent in a week.

  25                   One of them may decide that that's a trend and

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    1      will buy; another may believe that it's overvalued and

    2      would sell.     That is because they no longer -- these

    3      investors now matter because the arbitrageurs aren't

    4      making sure that the price is connected to value-relevant

    5      information.

    6                  So your question is relevant to me only in the

    7      notion of a market that's inefficient.                And my point is,

    8      basically from your question is that I would care about

    9      the distinction between those three investors only in

  10       an -- in, I-N, an efficient market.

  11              Q.   You've used the term "noise trader" in your

  12       report in paragraph 109 in your opening report.                   Could

  13       you define the term "noise trader"?

  14              A.   Sure.

  15                   I'll just be quick.         I'm just going to go to

  16       that paragraph, and then I have an answer for you.                   Can

  17       you tell me the page on the PDF for that?

  18              Q.   Oh, wow.    It may take me a second to figure it

  19       out.    Paragraph 109.

  20              A.   I think I found it.         So it looks like it says

  21       56.    My eyes are bad.      But it looks like it.          54.

  22                   MR. RYAN:    This is in your opening or your

  23       rebuttal report, Steve?

  24                   THE WITNESS:     Opening.

  25              Q.   BY MR. ROSEN:      So that's paragraph -- it's page

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    1      51 of your opening report; right?

    2              A.   54.

    3                   MR. ROSEN:     Yeah, 54 of the PDF.

    4                   THE WITNESS:     Yes.      We're on the same wavelength

    5      here.

    6                   So I do remember -- your question was asking me

    7      what a noise trader is?

    8              Q.   BY MR. ROSEN:      Yes.

    9              A.   Sure.

  10                    So a noise trader, there is an academic

  11       literature that calls some investors noise traders.               And

  12       I'm referring to that, not some sort of real-world

  13       connotation.         And in this literature, a noise trader is

  14       an investor who trades on what we would call -- makes

  15       decisions based on non-value-related information.

  16                    So it's generally undefined, but it could be

  17       something idiosyncratic, like a need for liquidity.               Like

  18       they get divorced or they're fired or something like

  19       that, that causes them to trade.

  20                    But in general, it's something that motivates a

  21       noise trader to trade is not related to the value -- the

  22       underlying value of the company.               So that's what "noise

  23       trader" is.

  24                    Generally, in that older literature -- so this

  25       is a 1990 paper, and most of that noise trader

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    1      literature, noise traders, information that causes them

    2      to trade is what we call sort of idiosyncratic, meaning

    3      that it's not correlated across investors so that if you

    4      and I were noise traders, you may have an unexpected

    5      shock that makes you want to buy a week ago, but that's

    6      not correlated with mine.       Mine might have an unexpected

    7      shock to sell two weeks from now.

    8                  But in both of our cases as noise traders, it's

    9      something unrelated to fundamentals or things that drive

  10       the earnings of stocks.      So that's what a noise trader

  11       is.

  12             Q.    Well, what about somebody, an investor who goes

  13       to the supermarket, and he buys some Naked juice, and he

  14       really likes the taste and says, "Wow, what a great

  15       product, I'm going to buy this stock," based on his

  16       belief that it's a nice product, that he likes the juice.

  17                   Would that be a noise trader trade?

  18             A.    I think -- so it depends, but I would say yes.

  19       And keep in mind this is, you know, similar to questions

  20       you've asked me earlier, I don't doubt there are

  21       investors like this all over the place.

  22                   The question is in an efficient market, this

  23       doesn't matter.     It doesn't affect the stock price.       As

  24       you can imagine intuitively, that investor that you just

  25       mentioned is not going to dissuade Warren Buffet from

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    1      taking advantage of a mispricing.            But in this

    2      literature, they combine noise traders with frictions.

    3                  So this literature is based on the type of

    4      person that you had mentioned before, if there is enough

    5      of them, and there's frictions that prevent Warren Buffet

    6      and arbitrageurs from being able to take advantage of

    7      arbitrage opportunities, then you have impacts on prices.

    8                  So it's combination of significant noise trader

    9      activity with frictions.       Frictions that I talk about in

  10       my report on lending fees and high short interest, those

  11       are the things in the literature that can impact prices.

  12             Q.    Now are all retail investors noise traders?

  13             A.    I don't believe so.

  14             Q.    Do you have any sense of what percentage of

  15       retail investors are noise traders?

  16             A.    I don't.

  17             Q.    Are the investors who were on Reddit or Wall

  18       Street Bets, B-E-T-S, Wall Street Bets, were they noise

  19       traders?

  20             A.    So I haven't come to that opinion.         My

  21       understanding is there are many individuals chatting

  22       about these kinds of stocks, and they're all types, and

  23       some may be what you consider a noise trader and some may

  24       be considered what you wouldn't believe is a noise

  25       trader.

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    1              Q.     Is it true that a noise trader is price

    2      insensitive or insensitive to the price of the stock?

    3              A.     I don't believe that's necessarily the case.

    4              Q.     Is it fair to say that the vast majority of

    5      Robinhood's customers are retail traders, small guys?

    6              A.     I'm sorry, you said Robinhood in your question.

    7              Q.     Yes.    Yes.

    8              A.     That's my understanding.

    9              Q.     Now you also discuss in your report

  10       institutional investors.             Could you give some examples of

  11       institutional investors?

  12               A.     Sure.

  13                      Hedge funds, active mutual funds, passive mutual

  14       funds, but I'm more thinking about active mutual funds.

  15       Some of the portfolio managers for pension funds and the

  16       like.        Investors who are making active decisions with

  17       lots of resources and capital and well-informed traders

  18       and the like.

  19                      So those would be examples.               Generally, I'm

  20       anything about hedge funds and professional investors.

  21               Q.     Are arbitrageurs also institutional investors?

  22               A.     My understanding is yes, usually.

  23               Q.     And are they a subset of institutional

  24       investors?

  25               A.     It's a term of art, but I would say yes.

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    1            Q.    And how would you describe their role as a

    2      subset of the institutional investor base?

    3            A.    Sure.

    4                  An arbitrageur is generally focused on

    5      deviations of values from values tethered to

    6      value-related information.        So they're looking for price

    7      deviations based on nonfundamental information.         So I

    8      mean, the classic example would be that if there was a

    9      general -- this is a hypothetical -- a general agreement

  10       that arbitrageurs believe that the stock price's value

  11       should be a hundred dollars.

  12                   And then for some idiosyncratic reason, the

  13       price falls to 90.     And idiosyncratic meaning had nothing

  14       to do with the underlying firms -- the underlying firm.

  15       So they would see that $10 sitting there, and they would

  16       buy it up because they know it's going to go back to ten

  17       at some point.

  18                   So they're essentially looking around the

  19       market, scouring the market for pricing deviations that

  20       are not based on rational value-relevant information.

  21       And they make their decisions based on that, either

  22       buying it or selling it to take advantage of that.

  23                   Now arbitrageurs don't necessarily always make

  24       the money that very instant, but they have confidence

  25       that in the fullness of time, they will make that money.

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    1              Q.     Are they always right?

    2              A.     They are not.

    3              Q.     Could two different arbitrageurs disagree

    4      fundamentally on the value of a particular security?

    5              A.     So, yes, that's true.         The question is how

    6      obvious an arbitrage is.            So if an arbitrage was very

    7      subtle, then I think that would fit the nature of your

    8      question.        But if an arbitrage is a very obvious one, so

    9      a classic example would be you have gold traded in

  10       New York and London, the same gold, and it trades at

  11       different prices.          Subject to transaction costs, that's

  12       an obvious arbitrage, and they would not disagree on

  13       that.        That's the cleanest example.

  14                      As we go away from that, they become less

  15       obvious arbitrages.          So I would never use the argument of

  16       this $100 versus $90, avoid it very quickly for the case

  17       of a very subtle arbitrage.              That's not my belief.

  18                      But for very obvious arbitrages, where prices

  19       deviate from rational values for no obvious reason other

  20       than some sort of idiosyncratic event, those are obvious

  21       arbitrages that don't last very long in an efficient

  22       market.

  23               Q.     Can institutions be noise traders?

  24               A.     They can.    Generally, there's a belief that

  25       noise traders don't last very long in some sort of

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    1      Darwinian sense in the investment world.               It's a very

    2      competitive world.     And people can succeed or fail based

    3      on luck in the short run.

    4                  But there's a general belief that financial

    5      markets are very competitive.          And if you are trading

    6      based on whims and irrational thoughts, generally you're

    7      not going to last in the long run.

    8                  And that's what most people believe.            It doesn't

    9      mean that you can't be successful in the short run.                  It's

  10       just we don't think that's sustainable.

  11             Q.    Do noise traders' actions or trades offset each

  12       other in the market?

  13             A.    So the noise traders that you're asking about,

  14       as I said, comes from an academic literature, and the

  15       answer is it depends on the model.            So broadly speaking,

  16       that the earlier models of noise traders, like the 1990

  17       one that I cite in paragraph 109, those I would say could

  18       offset because they're uncorrelated.               Depends on how many

  19       there are and their fraction of the market.

  20                   There are more modern models, like a paper I

  21       cited from Lasse Pedersen from around 2022, where they

  22       assume something more akin to what I would call

  23       coordinated what I would call noise traders.               So

  24       investors who trade on sort of non-value-related

  25       information.     But en masse, together, sort of what the

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    1      press and analysts thought was happening with the meme

    2      stocks.

    3                  That would be non-offsetting noise trader

    4      behavior, which is a relatively new phenomenon that they

    5      can coordinate this way through social media.             So it's a

    6      new area.     In that case, the answer to your question

    7      would be no.       These kinds of noise traders may not offset

    8      it.   They may reinforce each other.

    9            Q.    Paragraph 110 uses the term "destabilizing

  10       speculation of noise traders."

  11                   Is it your opinion that retail traders or noise

  12       traders destabilize the market?

  13             A.    So no, not necessarily.          And to sort of re-say

  14       something I said earlier is that in a normal functioning

  15       what I would call as an economist efficient market, noise

  16       traders don't matter.

  17                   So as I said, you can name a stock, and I could

  18       analyze it and say, "As of today, I believe it trades in

  19       an efficient market."

  20                   And then you ask me, "Do you think there are

  21       people doing your scenario about Naked Juice?"

  22                   And I'd say yes.

  23                   You'd say, "Are there people trading on looking

  24       at moving averages?"

  25                   Yes.

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    1                  Does it matter?

    2                  No.

    3                  Because in a normal functioning efficient

    4      market, if any of that affected the stock price,

    5      arbitrageurs would swoop in and correct those prices.

    6                  So in this research literature that I'm talking

    7      about, they are looking at markets that have some sort of

    8      friction that prevents them from being efficient markets.

    9                  And just to be clear, what paragraph 110 is

  10       laying out is -- I find as an academic very interesting,

  11       is that there's this -- a movement in the literature to

  12       talk about traditional noise traders that you

  13       characterized pretty well about sort of what I would call

  14       uncorrelated to this modern literature where they are

  15       correlated.       And I think the big word here is

  16       "coordination."

  17                   So in traditional noise traders, these sort of

  18       idiosyncratic, hard-to-explain, random movement of retail

  19       investors are essentially one off and idiosyncratic.                  But

  20       in this modern world, if they can coordinate.               And

  21       coordination are not really simple in the real world.

  22       It's hard for you and I to coordinate.               But if we have

  23       social media, there is the potential coordination.

  24                   And that's what the Lasse Pedersen paper is

  25       getting at, and people believe -- some people believe in

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    1      the case at hand that these investors basing their trades

    2      on idiosyncratic information are now working together and

    3      trading similarly.     That can move prices much more than

    4      if it was idiosyncratic.

    5            Q.    Some of the literature -- and I don't know if

    6      your report mentions this -- they use the term "stubborn

    7      investors" in this context of noise traders.

    8                  And is it your opinion that stubborn investors

    9      are irrational?

  10             A.    So that phrase does come out of, I believe, this

  11       2022 paper from Lasse Pedersen.           He was a student of mine

  12       like 25 years ago.

  13                   So he uses that phrase.        If you're asking me

  14       about stubborn investors, that's a -- that's a

  15       theoretical model there.       Stubborn investors are ones who

  16       have what we call priors.       These are sort of initial

  17       beliefs that only change those beliefs under lots of

  18       pressure, lots of new information.

  19                   Now in the real world, there are investors whose

  20       opinions are more difficult to change.             I would never

  21       unilaterally call them rational or irrational.             It really

  22       depends on the circumstances.

  23             Q.    So in paragraph 112, sums up, it says, "Academic

  24       studies have documented that constraints on arbitrageurs

  25       imposed by 'noisy' retail traders can inhibit competitive

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    1      trading activity among investors and lead to departures

    2      from market efficiency for a temporary period."

    3                   Is it your opinion that that is what happened

    4      here in the -- in this case for these nine stocks?

    5            A.     So I haven't formed that opinion.      Let me be

    6      clear.      My opinion on these nine stocks or one of my

    7      opinions is that they did not trade in efficient markets

    8      during this two-week period that I laid out in my report.

    9      One week prior to the class period and the class period

  10       itself.

  11                    What I'm -- and so that's my opinion.      What I'm

  12       saying here is that while I generally believe that

  13       efficient markets are normal and typical, there are

  14       periods where they're not.         And what I'm summarizing in

  15       this section of my report is there is academic literature

  16       on this that says, well, how could you have arbitrageurs

  17       who are trying hard to make money and still not have

  18       efficient markets?

  19                    And as I said earlier, you mentioned some what I

  20       would call sort of noise investor traders, and my

  21       response was in an efficient market, it doesn't matter.

  22                    And so this literature asks and answers a very

  23       interesting question.      It says you have these noisy

  24       traders, and you have arbitrageurs, and normally the

  25       noise traders don't affect it.

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    1                  And what this literature does is isolate what

    2      frictions can exist in theory but also in practice on

    3      these institutional investors that can at least

    4      temporarily prevent them from what I would call policing

    5      the market and restoring equilibrium.

    6                  And the examples are, for example, if these

    7      noise traders, for example, are -- become a larger or

    8      more importantly coordinated segment of the market.           If

    9      they're coordinated and could potentially have a price

  10       impact that's lasting, then it induces a lot of risk on

  11       investors.

  12                   And so, for example, if temporarily through

  13       coordination retail investors are noise traders -- not

  14       all retail investors are noise traders -- could proper up

  15       the price temporarily, and you're an arbitrageur who

  16       wants to correct that for your own profit motives by

  17       shorting it, in a normal efficient market, the price

  18       would go back down and all would be done.

  19                   But now suppose that there were frictions.        And

  20       this is not true in every market, but in a particular

  21       market a friction could be suppose the lending fees are

  22       relatively high on these stocks.           Suppose the amount of

  23       short selling at the time was relatively high.           Suppose

  24       that through coordination there is a risk that while the

  25       price may fall in the future, in the short run, it may

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    1      continue to rise and these arbitrageurs may hit margin

    2      calls.

    3                  All of these sort of frictions that I'm talking

    4      about are ones that could prevent these arbitrageurs from

    5      returning the market quickly to an efficient market.

    6                  So just to summarize, my point here is that

    7      there's an academic literature that address this very

    8      interesting conundrum.      You have noise traders that can

    9      temporarily change the stock price from their efficient

  10       values and arbitrageurs, who we normally think in

  11       efficient markets will police this market and return them

  12       quickly to efficient.

  13                   Why -- how is it possible that they may not in

  14       all cases?     And the answer is friction.         And those were

  15       examples of the frictions I'm talking about.

  16             Q.    Now you said the noise traders could temporarily

  17       change the price of the stocks.           How lasting an effect

  18       could noise traders have on the stock price?

  19             A.    So as an empirical matter, in the most case,

  20       it's very short.     And so my answer is very related to my

  21       previous one, is that if there aren't large frictions

  22       that prevent these arbitrageurs from making like easy

  23       money, it won't last long.

  24                   So just to preface this, keep in mind that I'm

  25       not someone who is so looking for perfection in the

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    1      efficient markets that says there is never an impact of

    2      noise traders in an efficient market on the price.               I

    3      believe that to the extent they do exist, it's unusual

    4      and they're fleeting.

    5                  And so the idea is that these investors can

    6      influence the price, but without friction it doesn't last

    7      for very long.     And, you know, empirically, it would be a

    8      matter of an hour or less.        It would be very quick.

    9                  Because it -- keep in mind like all of this is

  10       not because these arbitrageurs are trying to save the

  11       world or trying to save the integrity of the markets.

  12       Maybe they like that.     I am just basing it on competition

  13       and people trying to make easy money when they can.

  14             Q.    Well, you said the effect, the noise trader

  15       effect is an hour or less.        But what about in the case of

  16       this Robinhood thing, where stock prices were going up

  17       throughout January, and I believe your report said there

  18       was coordinated trading for some period of time.            I mean,

  19       I think it was at least a week.

  20                   How long did you say there was coordinated

  21       trading going on?

  22             A.    So I don't opine on that.         I certainly cite

  23       other sources.     So, for example, the Franklin Allen paper

  24       has some tables that look at the amount of, for example,

  25       Reddit and social media conversations about these meme

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    1      stocks, and they were, to my understanding growing

    2      rapidly around one week prior to the class period.             There

    3      is discussion in the literature that there was some of

    4      this even before that, but it seemed to heat up about one

    5      week, around the 21st, I guess, of January 2021.

    6              Q.     So from January 1st until 27th or -8th is maybe

    7      six days, maybe, I don't know, four, five, six trading

    8      days.        So those noise traders, if you will -- I mean, if

    9      it's true that those noise traders are what caused the

  10       stock price to go up, the effect lasted at least a week;

  11       right?

  12               A.     So let me put it in my own words and, of course,

  13       you can reask the question if I -- if you have more

  14       questions.

  15                      So number one is you may have said January 1st,

  16       but you probably said January 21st.

  17               Q.     I meant January 21st.

  18               A.     Yeah.   And I don't mean that to pick on you.

  19       Like my hearing of you is like 90 percent.             I don't think

  20       there's anything we can do about it, and so I will always

  21       ask that just to be sure.

  22                      So it is my opinion during that, I believe, five

  23       trading days, in my opinion, these stocks were not

  24       efficient, and I don't opine on why that's the case.             But

  25       to the extent that others, including academics, opine

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    1      that at least part of this was due to coordinated

    2      trading, we have something that is unusual.

    3                  So as I said earlier, in an efficient market,

    4      even I believe that prices can deviate from efficiency

    5      for a short period of time, but normally it's not very

    6      long lasting, and I said like an hour.

    7                  And this is very different here, and it is

    8      unusual to have markets become inefficient or what I

    9      would say, obviously inefficient, for relatively long

  10       period of time, like two weeks in this case.

  11                   That's why academics are writing papers on this

  12       and that's why analysts were talking about this.         It is

  13       unusual, and it's also related to the questions you were

  14       asking previously about the academic literature.

  15                   There is an analogy here between what we

  16       normally think about retail investors and their trading

  17       being essentially uncorrelated across them, and having an

  18       impact, but not necessarily a lasting impact.

  19                   In a world where retail investors can

  20       coordinate -- and by the way, this would be true for

  21       institutional investors coordinating, too.         But when

  22       investors can coordinate, it seems to be the case,

  23       obviously, that these price impacts could be more

  24       sustained.

  25                   It's sort of a new world we're in; right?         So

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    1      normally, like I said, it's hard to coordinate across

    2      people.     Because we have all different motives and

    3      incentives and there's lags between how we talk about

    4      things.     But if there's a modern means that investors can

    5      coordinate, then this is a new world here, and it's

    6      possible in that new world where retail investors can

    7      coordinate, it seems quite possible that these can last

    8      longer than traditionally they have.

    9            Q.    Did you say you don't have an opinion as to what

  10       caused the prices of the nine affected stocks to increase

  11       during that period of time in January?

  12             A.    Yes.   To be clear, I do have an opinion during

  13       that week that I believe you're referring to, the week

  14       prior to the class period, that the prices of those nine

  15       stocks were not trading in -- those stocks were not

  16       trading in efficient markets.

  17                   And then I point out what other commentators,

  18       like academics, stock analysts, and the media posit was

  19       causal, and I mention that.

  20                   But I have not come to an opinion which one or

  21       what combination of things such as short squeezes,

  22       attempted short squeezes, or retail coordinated trading

  23       caused it.     I don't have an opinion on that.     I'm just

  24       pointing out that to put it in context, this is what

  25       other people are saying.

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    1            Q.    Now comes the fun part.

    2                  Do you believe that markets are efficient?

    3                  MR. RYAN:   Objection to form.

    4                  THE WITNESS:     That's quite hard to answer

    5      because you didn't say markets, you didn't say -- that's

    6      quite vague.     I'm happy to answer that question, but do I

    7      think all markets are efficient at all moments in time?

    8            Q.    BY MR. ROSEN:      Fair enough.

    9                  Do you think stocks traded on the New York Stock

  10       Exchange and the NASDAQ are generally efficient?

  11             A.    So yes, I think most of the time stocks that are

  12       traded on organized exchanges meet the sort of standard

  13       weak form notion of market efficiency.                Yes, that's the

  14       normal case.

  15                   Obviously, I don't believe it's always true, but

  16       that's my general presumption before I start

  17       investigating the facts of it.             But yes, generally I do

  18       believe markets are efficient for most traded stock.

  19             Q.    So you're adhering to the efficient market

  20       hypothesis?

  21             A.    So I believe the efficient market hypothesis is

  22       most of the time empirically true, and I am very careful

  23       when I -- when I teach my students that this is not

  24       religion where you believe "yes" or "no."                It's a range.

  25       And I put myself in the category that markets are close

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    1      to the line of efficiency than they are close to the line

    2      of what we normally think of inefficient markets.

    3                   And in particular for most traded securities,

    4      because as I said earlier that there are arbitrageurs out

    5      there who are in it for themselves to make money, they

    6      are the enforcement mechanism to make markets typically

    7      efficient.

    8              Q.   So you've read -- I don't know -- many if not

    9      all of Professor Fama's papers on the subject; is that

  10       correct?

  11               A.   You know, he's an outlier.              He's written so many

  12       papers, I don't know if I could even say most of.                     But I

  13       have certainly read most of his famous papers, and I have

  14       met him on many occasions.

  15               Q.   Is there anything specific about his definition

  16       of the efficient market hypothesis that you disagree

  17       with?

  18               A.   No.   That being said, he's -- in his papers and

  19       speeches has come up with different versions of it, and

  20       it depends on the context.          But I can't recall -- I mean,

  21       I'm pretty sure I cite him in my report.                  I believe

  22       Dr. Werner probably cites him in his report.                  In general,

  23       he's quite an authority on the theory of efficient

  24       markets.

  25               Q.   So in paragraph 13 of your opening report --

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    1            A.    Did you say -- did you say my original report?

    2            Q.    Yeah, opening.      I said opening report.

    3            A.    Got it.     I just missed that word.        Okay.

    4            Q.    So that would be page 8 of the PDF, page 5 of

    5      the report, paragraph 13, you cite -- I think it's

    6      footnote 21, this Fama article from 1970 on efficient

    7      capital markets.

    8                  And you say, "Widely accepted definition of

    9      efficient market is one in which prices always fully

  10       reflect available information."              And you took that from

  11       the 1970 Fama article listed there in footnote 21.

  12             A.    Yeah.     This is his sort of famous original paper

  13       on market efficiency.        He has sort of a synopsis and a

  14       summary of more recent evidence in like a 1991 paper.

  15       But yes, this is the classic original Fama market

  16       efficiency academic article.

  17             Q.    Next sentence says, "In an efficient market

  18       prices should rapidly and fully adjust to incorporate new

  19       value-relevant information."

  20                   Now you don't cite any authority for that

  21       sentence, and it differs from the prior sentence only in

  22       the sense that it uses the term "value relevant" rather

  23       than simply "available information."

  24                   Where do you draw the modifier value relevant

  25       from for that sentence?

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    1            A.    Sure.

    2                  I draw this from a large academic literature

    3      when they get more specific about what they mean by

    4      "available information."       And they're talking about

    5      things that are related to the value of the firm itself.

    6                  I believe Dr. Werner in his opening report also

    7      mentions quotes that talk about things like earnings,

    8      companies, things like that, just so that the reader of

    9      this report understands that when I say "fully reflect

  10       available information," I'm not talking about prices

  11       reflecting sun spot activity.          I'm not talking about

  12       stock price of IBM reflecting the temperature in Alaska.

  13       I'm talking about the stock prices of IBM reflecting

  14       market public information about IBM itself.          Things that

  15       are value relevant.

  16                   So people who talk about efficient markets, when

  17       they talk about information, they're referring to

  18       information that's relevant to the valuing the present

  19       value of future cash flows of the stock.

  20             Q.    Is that -- if -- if the price has to or should,

  21       I should say, if the price should incorporate all

  22       value-relevant information, would that also mean that the

  23       stock price is fundamentally efficient?

  24             A.    So that's -- fundamentally efficient, there's

  25       nothing silly about that expression, but it's -- it's not

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    1      a normal definition of market efficiency.                So what I mean

    2      is in typical finance textbooks, academic articles, and I

    3      guess I would say I've been at Stanford long enough I've

    4      probably been in thousands of finance seminars over the

    5      years now.     When we talk about market efficiency, we say

    6      "market efficiency," and we don't break it down by

    7      fundamental and something nonfundamental.

    8                  To the extent somebody -- if I saw an article in

    9      a legitimate academic journal or in a seminar from a --

  10       from a relatively famous finance professor, and they said

  11       "fundamental market efficiency," I would assume they're

  12       talking about market efficiency just like my definition

  13       you just mentioned, the Fama definition.

  14             Q.    Right.   So would that -- well, if you're saying

  15       that the efficient market hypothesis assumes all

  16       value-relevant information, meaning all -- all

  17       information that could affect stock -- all cash flows

  18       related to the stock in the future, that's -- I mean, if

  19       you're looking at the net present value of future cash

  20       flows, that's essentially a fundamental value; right?

  21             A.    I think that's fair to say.             So I'm not going to

  22       make a big deal about what fundamental value means.                It's

  23       essentially the present value, the expected present value

  24       of future cash flows.

  25                   It's in the nature of bringing fundamental into

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    1      efficiency.     That was what I was talking about is that

    2      it's not a normal term that academics use and they say,

    3      "Let's have a discussion about fundamental market

    4      efficiency."     They just don't say that.

    5                  They'll say market efficiency.          And it implies

    6      what I'm saying here is market efficiency in the academic

    7      or financial literature means what I say it means.             It

    8      means that the prices reflect they will change fully,

    9      quickly to new value-relevant information.

  10                   I just think that's ubiquitous.          And I'm just

  11       being very careful about that.           But I don't think there's

  12       a sort of a common academic vernacular that would call

  13       that fundamental efficiency.          We just mean market

  14       efficiency.

  15                   MR. ROSEN:   I'm going to show you -- I'm going

  16       to introduce as an exhibit, if I can figure out how to do

  17       this, an article from -- I think it's 1991.

  18                   This is going to be Exhibit 178.          It is -- it is

  19       an article by Professor Fama.           In a moment, you should be

  20       able to see it.

  21                   (Exhibit 178, Efficient Capital Markets: II, by

  22                   Eugene F. Fama, was marked for identification by

  23                   counsel electronically.)

  24             Q.    BY MR. ROSEN:    I think you cited it in one of

  25       your -- probably in your rebuttal report.             Take a look at

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    1      it and tell me if you've read it before and you're

    2      familiar with it.

    3            A.    I'm still in the process of downloading it.

    4                  Okay.   So I have it downloaded.           I'm sorry, when

    5      I download it, it takes up all my concentration.               You

    6      referred me somewhere in the article or you asked me --

    7            Q.    Oh, start with the first page.            I'm not going to

    8      delve too deep into it.

    9            A.    Okay.   Do you mind if I look at the first page

  10       for a second?

  11             Q.    Yeah, look at the first couple of pages.

  12             A.    All right.

  13             Q.    Actually, look at whatever you feel you need to.

  14             A.    Yes.

  15                   Okay.

  16             Q.    All right.     So in this paper -- this is from

  17       doctor -- Professor Eugene Fama, and he sort of updates

  18       his views on research and market efficiencies.

  19                   Is that a fair --

  20             A.    Yeah.

  21             Q.    -- view?     Okay.

  22                   So it starts out, the second paragraph, he says,

  23       "I take the market efficiency hypothesis to be the simple

  24       statement that securities prices fully reflect all

  25       available information."          Right?

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    1                  He doesn't -- well, okay.          So earlier you said

    2      economists in the know don't modify it with fundamental

    3      value or fundamental -- okay.           Fair enough.

    4                  And then he says, "A weaker and economically

    5      more sensible version of the efficiency hypothesis says

    6      that prices reflect information to the point where the

    7      marginal benefits of acting on information (the profits

    8      to be made) do not exceed the marginal costs."

    9                  Is that statement true?         I mean, is that his

  10       updated view, that second sentence I just read?

  11             A.    Yes.   And I -- so I think this is a great --

  12       great statement.      It's very -- from an academic

  13       standpoint and also connected to the stuff we spoke about

  14       earlier, it's really a great framing of this here, is

  15       that -- let me first put this in context.              Because he

  16       cites this paper by Grossman and Stiglitz, two very

  17       famous economists.      And they initially point out a

  18       conundrum or puzzle.      If you believe that stock prices

  19       are absolutely perfectly on value, then why would there

  20       anybody doing any what we would call fundamental research

  21       to create the value.

  22                   If everybody just stared at the stock price and

  23       said it was correct, then nobody would be doing any

  24       research.     So it unwinds; right?         So we all agree with

  25       that one.

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    1                  So what Grossman and Stiglitz were saying in a

    2      sort of a very mathematical way, but a very common sense

    3      way, obviously there has to be some incentive out there

    4      for investors -- some investors to be doing fundamental

    5      research to create the efficiency in the first place.

    6                  And so we agree that there has to be some

    7      benefits of being a professional investor or else none of

    8      us would be.

    9                  That being said, we also believed -- to put this

  10       in context -- there's a lot of competition out there.            So

  11       that yes, professional investors have to have some

  12       ability to make money.      If it was too much and there's

  13       free entry into this industry, it would push that down.

  14                   So we believe that markets are not what we would

  15       call absolutely perfectly efficient at every point in

  16       time or else there would be no incentive to be an

  17       arbitrageur.     So he's putting that out there.

  18                   And then when he says here about the marginal

  19       benefit and the marginal cost of being what I would call

  20       being a professional investors, that's what I was getting

  21       at earlier, is that we generally believe that -- that the

  22       marginal benefits, the sort of arbitrage opportunities

  23       out there, they can't be trivial to trigger arbitrageurs

  24       to enter and fix the price.         But to the extent that it's

  25       greater than the transaction cost, they will do so.          I

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    1      think that's sort of noncontroversial.

    2                  And like a big point that the academic

    3      literature is making to explain why you might see these

    4      sort of deviations like in the case at hand is if those

    5      marginal costs are high.

    6                  So it just as an intuitive matter is that we

    7      might believe that there are these arbitraged

    8      opportunities out there, and we say why aren't

    9      arbitrageurs fixing this?

  10                   And the answer that Fama is getting at here is

  11       that if for some reason their marginal costs are high.

  12       And that's why I go through the list.              What could

  13       possibly be a marginal cost that would be high at a point

  14       in time for an institutional investor?              And that would be

  15       examples that we cite in this case.

  16                   If there is coordinated retail trading activity

  17       that props up the price making short selling very risky.

  18       If it's lending fees.     Anything that's sort of a marginal

  19       cost increase, that's what he's getting at there.

  20                   And he's saying -- I believe Fama is saying in

  21       most markets these aren't that big a deal, but don't call

  22       me, you know, taking this too strongly.              There's always

  23       going to be, you know, a little bit of deviation from

  24       market values and true values, and it's driven by this

  25       marginal cost.     And I agree with that.

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    1                  I'm just saying in the case at hand, these

    2      marginal costs may be very high.

    3             Q.   The other -- so I guess to shortcut this, in

    4      this paper he admits that -- or acknowledges that there

    5      has been research by others in the field that shows that

    6      stock prices, future stock returns are predictable from

    7      past returns; is that right?

    8             A.   So I don't recall -- so academics call these

    9      anomalies, which is -- I'm not saying that's like the

  10       greatest term, but I forget -- I can glance through this

  11       paper -- if he lists some of these anomalies.         But this

  12       is back, you know, over 20 years ago, and the list of

  13       anomalies has changed.

  14                   But there is a belief that there are some sort

  15       of observable variables that may predict future returns

  16       more than just by chance, and he may be listing those,

  17       yes.

  18              Q.   Yeah.     I think on page -- well, it's page 3 of

  19       the document, page 1577 and 78, 79, he goes into some of

  20       the studies?        French and Roll and --

  21              A.   Yes.

  22              Q.   How there's -- you call them anomalies, but

  23       there are, I guess, positive auto-correlation and other

  24       instances where you can predict future returns from past

  25       returns.

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    1                  So but that doesn't necessarily change his view

    2      on the efficiency of markets; is that right?

    3            A.    So that's true.     And I just wanted to say

    4      briefly about these what I call anomalies, but like the

    5      example he gives is the January effect, which I haven't

    6      looked at it in years.        And the reason why I'll give you

    7      in a second is the reason is if you buy stocks almost at

    8      random, at the end of the calendar year and then sell

    9      them at the beginning of the year, you make abnormal

  10       returns.

  11                   It was a sort of belief about investors taking

  12       advantage of tax losses.        Like there's nothing unusual

  13       about these stocks, but they sell at the end of the year

  14       because if they have losses, they want to realize them by

  15       the end of the tax year, and then they buy them back.

  16                   So there was this January effect.       That was a

  17       typical story.     There was other things like that.       There

  18       was a day-of-the-week effect.          I forget if Monday was the

  19       best day.     These things basically aren't around, anymore.

  20                   So I think Fama was well aware of the fact that

  21       there are these what I call anomalies, but empirical

  22       studies that demonstrate some of these effects, but I'm

  23       sure he's aware that these things probably, if they are

  24       true, go away, and they do.

  25                   And I find it -- because I've been in finance

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    1      long enough now that I actually find it mildly amusing

    2      how anomalies or predictabilities that were very famous

    3      when I became a professor are gone.

    4                  So for the longest time, there was this value

    5      effect.     Like AQR made its fortune on this, is that there

    6      was belief that low PE stocks would outperform.              And to

    7      some extent, they did for decades, and then over the last

    8      few decades, it's been the exact opposite.

    9                  And so I think Fama's aware, and I'm sure he's

  10       certainly aware today, that whatever is the nominally at

  11       one point in time seems to go away and new anomalies

  12       emerge, which makes people like me think that these kinds

  13       of obvious anomalies are really just what we might may

  14       call data mining.

  15                   If you look -- if I gave you thousands of months

  16       of data on thousands of stocks in the past and asked you

  17       to find some weird stuff, not in any silly sense.              I'm

  18       just saying find stuff that sort of repeats itself, you

  19       would find it.

  20                   And you could run almost any statistical test on

  21       it, and you'd say, wow, this seems real.           And the

  22       ultimate test, of course, is does it actually work ten

  23       years from now.

  24                   And for most of the part of things that he talks

  25       about here, they don't last.

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    1            Q.     But you said AQR made some money for a while;

    2      isn't that right?

    3            A.     They did.     They made a lot of money.          And I

    4      think they're doing really well now again.                 But there was

    5      a period of time, if you read the press reports on them,

    6      is, wow, these guys are -- everything they're doing is

    7      wrong.      Because the quintessential non-value stock would

    8      be something like Facebook and Google.                 And that's where

    9      most of the returns in the last two decades have been in

  10       those two stocks.         So it makes that value approach not

  11       look so good, even though the value approach for many

  12       decades earlier did look good.

  13                    So my point is I'm not saying anything good

  14       about or bad about any of these anomalies.                 It's just

  15       that I think Fama realizes that -- then and now, that you

  16       can always find some trading strategy that worked in the

  17       past, but that doesn't necessarily prove that markets are

  18       inefficient.

  19             Q.     Now you cite a book by Andrei Shleifer.             Is

  20       that -- am I pronouncing his name right?

  21             A.     Yes, exactly.

  22                    MR. ROSEN:     And I'm going to introduce this book

  23       for the record.

  24                    (Exhibit 179, Inefficient Markets, by Andrei

  25                    Shleifer, was marked for identification by

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    1                  counsel electronically.)

    2                  MR. ROSEN:     It's Exhibit 179 now.          It's going to

    3      take a moment to download.

    4                  THE WITNESS:     Okay.      I have it on my screen.

    5            Q.    BY MR. ROSEN:      Before I ask you questions about,

    6      is it Professor Shleifer?          I don't know.

    7            A.    Yeah, he's a very famous Harvard economics

    8      professor.

    9            Q.    Before I ask you questions about Professor

  10       Shleifer, I just remembered there's a couple questions I

  11       wanted to ask you generally --

  12             A.    Okay.

  13             Q.    -- about the market.

  14                   So who or what is the best arbiter of a stock's

  15       fundamental value?

  16             A.    So you asked me this earlier in some sense.             In

  17       an efficient market, the price.              In a market that's not

  18       efficient, that's very hard to answer.                We all are going

  19       to have different opinions.            Even sophisticated investors

  20       will have different opinions.

  21             Q.    Have you ever heard of the term "price

  22       discovery"?

  23             A.    Yes.

  24             Q.    What does that mean?

  25             A.    So it really is contextually dependent, but it's

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    1      a process of obtaining inferred prices from observing

    2      prices.      So let me give you an example.

    3                   So an example would be if I am trying to figure

    4      out -- this is not quite a price, but it's very

    5      similar -- if I want to figure out what the market thinks

    6      the volatility of Apple stock's going to be over the next

    7      month.      Okay?   A very useful way of doing that is to be

    8      observing options trading on Apple.                  And since there is

    9      very good empirical support that the value of options is

  10       related to a formula called Black-Scholes, you

  11       essentially reverse engineer it.

  12                    It's actually a simple concept, but it's -- it's

  13       amazingly -- it's amazing that we actually can do that.

  14       So you can look at the stock market -- sorry -- the

  15       option price on Apple and from that trading price, back

  16       out what the market is inferring Apple's volatility is

  17       over the future.

  18                    So that's an example of what we call -- even

  19       though it's not a market price, it's a price discovery.

  20       It's essentially using market prices to learn what's in

  21       the market's mind.

  22                    So obviously, in the most rudimentary

  23       application of this, in an efficient market -- it's

  24       almost definitional -- the -- you can infer the value of

  25       Apple stock from observing its market price because

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    1      that's -- the market price is the best forecast of its

    2      true price.     Or another way of saying it it's the best

    3      forecast of its price in the next few moments.

    4            Q.    Now I put that book in front of you, the

    5      Professor Shleifer's book, because in part you cited it

    6      in paragraph 64 of your opening report.             And --

    7            A.    I also -- since my page is there, on page 5 I

    8      cite it there, too, but that's fine.

    9            Q.    Oh, yeah.   And in paragraph 64, somewhere in

  10       there you say you -- ah, yes, it's towards the bottom of

  11       page 29 of the PDF.      It says, "As summarized in a

  12       prominent finance textbook examining potential deviations

  13       from efficiency in financial markets, 'Since the

  14       securities price must be equal to its value, prices

  15       should not move without any news about the value of the

  16       security.     That is, prices should not react to changes in

  17       demand or supply of the security that are not accompanied

  18       by news about its fundamental value.'"

  19                   So that comes from Professor Shleifer's book?

  20             A.    Correct.

  21             Q.    Okay.   Now does -- now that -- and that's also

  22       an inference from work on the -- you know, surrounding

  23       the efficient market hypothesis.            That's not actually

  24       part of the efficient market hypothesis, is it?

  25                   MR. RYAN:   Objection to form.

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    1                  THE WITNESS:     So it really -- so we're --

    2      obviously I'm talking about the academic context of

    3      efficient market hypothesis.            It -- so the efficient

    4      market hypothesis, as you've probably seen, is described

    5      in more than one way.        I have citations in my report.

    6      Dr. Werner has citations in his report.               They're all very

    7      similar.

    8                  I would say this is more of an implication of

    9      the efficient market hypothesis typically as opposed to a

  10       definition.     So I would not have necessarily disagreement

  11       if this was part of the definition of an efficient

  12       market, that it doesn't move based on -- it doesn't move

  13       significantly in the face of non-value-relevant

  14       information.

  15             Q.    BY MR. ROSEN:      But for example, let's say, I --

  16       I could identify a hundred days during a year when

  17       General Motors' stock moved statistically significantly

  18       without there being value-relevant news.

  19                   Would you say that means General Motors stock is

  20       not traded in an efficient market?

  21             A.    So let me -- because you gave me a hypothetical.

  22       I'm not picking on you.         But that's -- if it's -- if

  23       it -- if a stock moved significantly a hundred days,

  24       that's almost half of the trading days of the year.

  25                   So I would be shocked if half of the trading --

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    1      every other day a stock moved by a statistically

    2      significant amount.        Because in the fullness of time,

    3      statistical significance means that it should happen one

    4      out of 20 times.

    5                  So just on the face of it, if you told me a

    6      stock had statistically significant moves on half of the

    7      trading days, I would ask, one, is there something wrong

    8      with your model, and two, I think there is something

    9      fishy going on here.

  10             Q.    Okay.

  11             A.    Again, I'm not picking on you, but it --

  12             Q.    I'll give you a better -- you make a fair point,

  13       and I miss -- I misspoke.          I didn't frame my question

  14       properly.

  15                   So suppose there are trading days when the stock

  16       price moves a statistically significant amount, but only

  17       half of them are associated with value-relevant news.           So

  18       50 percent of the time is moving in response to

  19       value-relevant news, and half the time, it's not.

  20                   Does that mean the market for the stock is

  21       inefficient?

  22                   MR. RYAN:   Objection to the hypothetical.

  23                   THE WITNESS:     So let me -- let me try to put it

  24       this way.     There is no what we would call sort of

  25       bright-line rule that tells you exactly the fraction of

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    1      days where the stock moves by a statistically significant

    2      amount that should be accompanied by value-relevant

    3      information.     Obviously, it should typically be the case.

    4                  To answer that question, one has to also apply

    5      common economic sense.      And so I would never say, for

    6      example, that if a stock moved by on a day a

    7      statistically significant amount, and I could not discern

    8      on that one day value-relevant information, then I would

    9      say I can tell you in my opinion I'm confident that it

   10      doesn't trade in an efficient market.

   11                  However, I certainly don't do that in this case.

   12      And just, you know, not to belabor the point what I'm

   13      looking at in this case is I'm not going to rely on that

   14      bright-line rule.     I'm looking at nine stocks that have

   15      not just unusual -- let's just do the week before the

   16      class period -- not just unusual increases, but historic

   17      increases.

   18                  Like it's fair to say I'll show you numbers that

   19      they're like one out of a million movements.           The highest

   20      movement of any stock that day.           The highest movement in

   21      any -- their whole trading history.

   22                  And so I'm not talking about a 5 percent

   23      statistical significance.       I'm talking about stocks that

   24      move up 800 percent in a week, 100 percent in a day.           In

   25      the absence of value-relevant information, for that one

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    1      day, I can say the stock on that day doesn't trade in

    2      efficient markets.     And when they're correlated across

    3      stocks over a period of a week, I can say that more

    4      strongly.

    5                  So it really depend on the context.         And this is

    6      a case where we see something that's -- I don't know what

    7      to say.     It's so unusual.    I'm not faced with cases very

    8      much where a stock like Koss goes up by a thousand

    9      percent in a week.     I'm not faced with cases where

   10      something like GameStop goes something -- I'm sorry --

   11      like 700 percent in a week.

   12                  And so I'm not such a stickler on efficient

   13      markets that I say, oh, on one day GameStop didn't have

   14      value -- potential value-relevant information and it went

   15      up; therefore, it's not efficient.            I would never do

   16      that.

   17                  What I'm saying is when I look at all the facts

   18      together here, and I'm conveying that to GameStop moving

   19      up 700 percent in a week, and I'm looking at the

   20      information that was conveyed to the market on those

   21      days, and I don't see anything even marginally close to

   22      being a value-relevant explanation for that.

   23                  I'm trying really hard to find it.         If I found

   24      some information that said, GameStop -- you know, we now

   25      expect its earnings to go up by 50 -- 50 times in the

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    1      next five years, that would help me.                  But I'm not finding

    2      anything like that.        And that's why I can be so confident

    3      in my opinion that these stocks are not trading in an

    4      efficient market during this period of time.

    5            Q.    BY MR. ROSEN:      So I introduced an Exhibit Number

    6      117 previously, and I'd like to -- I don't know how to

    7      show it to you without having to remark it.

    8            A.    Can I ask you -- I deleted -- I didn't keep one

    9      of them up.     But can you tell me which one it is, which

   10      article?

   11            Q.    This is a Richard Roll article from The Journal

   12      of Finance from 1987 which I had introduced in Professor

   13      Fischel's deposition.        And I wonder if I could --

   14                  MR. RYAN:    What we can do, I think, Larry, is we

   15      can go back to the different folder, which is the Daniel

   16      Fischel deposition folder.

   17                  MR. ROSEN:     Yeah, that's where I am.            I'm

   18      reviewing to figure out.

   19                  MR. RYAN:    And then it says Marked Exhibits, and

   20      then we can go to 117.         So I'm pulling up the --

   21                  THE WITNESS:     I do have the article in front of

   22      me if --

   23                  MR. RYAN:    Yeah, I'm just pulling it up.

   24                  MR. ROSEN:     I just didn't know how to put it

   25      up -- put it up on Professor Grenadier's screen.

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    1                  THE WITNESS:     I'm good.

    2            Q.    BY MR. ROSEN:      Anyway, I assume you've seen this

    3      article by Richard Roll in The Journal of Finance, 1987,

    4      which is Exhibit 117?

    5            A.    I do remember seeing this as a grad student.

    6      It's like the orange juice paper.               Very interesting.

    7            Q.    Among other things.

    8                  So I find this article interesting because I

    9      think -- I think his finding is that only like maybe --

   10      so there's -- I think it starts with the premises there

   11      are three things that could affect, you know, cause and

   12      effect and impact stock price.             One is market factors,

   13      the other is an industry factor, and the third is

   14      idiosyncratic firm-specific factor.

   15                  Am I getting that right?

   16            A.    So I don't recall that.           Let me just say that

   17      that -- factorization is not just implicit, but explicit

   18      when I do what I call a regression study.               I have a -- I

   19      decompose a return of a stock into market movements,

   20      industry movement, and what I would call firm-specific

   21      movement, and what you said is consistent with that.

   22      That's sort of a way of conceptualizing information.

   23            Q.    Okay.   All right.

   24                  Now you may need a few minutes to answer this

   25      question, but do you disagree with the proposition that

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    1      Professor Roll found that only about 30 percent of

    2      statistically significant stock price movements were

    3      caused by these -- by one of these three factors?

    4                  MR. RYAN:   Objection to form.

    5                  THE WITNESS:     So I don't recall if he uses the

    6      word "cause."     If he did -- that's -- I have like --

    7            Q.    BY MR. ROSEN:      Shall we say "associated with"?

    8            A.    I have -- so Richard Roll, I have a lot of

    9      respect for.     He's written some very famous papers.                  He

   10      actually was a real rocket scientist.                  He actually worked

   11      on rockets.     And so hopefully, I didn't use the word

   12      "causation."

   13                  This is a statistical phenomenon.               I don't know

   14      exactly how you would -- I don't think I personally in

   15      this day and age would translate these sort of fractions

   16      as to even implying anything causal.                  Not that he is.

   17                  I'm not -- I don't understand what we learn

   18      other than empirical.        There's an empirical phenomenon.

   19                  Let me put it this way.           What we do nowadays is

   20      we do decompose stock returns -- and I think these must

   21      be futures, but I'm making an analog to stocks -- that

   22      they move according to those three factors.

   23                  And the third factor, which we call company

   24      specific, depending upon the stock, may have a very large

   25      what we call standard error.            Just think about there's

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    1      lots of volatility on that third component.

    2                     There's nothing weird about that.       And in

    3      particular, companies -- and then I'll finish the analogy

    4      in a second -- that have -- that are very sort of product

    5      or field specific or industry specific and not

    6      diversified could have very high idiosyncratic

    7      volatility.

    8                     So in the old days, GE -- so GE is a very

    9      different company now -- GE was basically like a mutual

   10      fund.        And I would bet because of all their subs that the

   11      idiosyncratic component of GE stock was relatively small.

   12                     Then if you look at something like an orange

   13      juice future, where it's just product specific, it would

   14      not surprise me today to see that it has a very large

   15      residual standard error.

   16                     So I personally am not sure how much you can

   17      infer from that other than orange juice stocks, orange

   18      juice futures have a lot of company-specific information

   19      or product-specific information.

   20              Q.     I don't know if this is the orange juice paper,

   21      actually.

   22              A.     I'm sorry.   Excuse me.

   23              Q.     I think that may be a different paper.       But if

   24      I'm not mistaken, I just didn't -- I mean, unless you're

   25      stating it better than I did, but I'm pretty sure this is

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    1      not the orange juice paper.           Let me see.    Because I think

    2      Shleifer -- Shleifer -- Shleifer, he does talk about that

    3      paper, but I don't know if this is the same one.

    4            A.     I think you're right so thank you for pointing

    5      that out.

    6            Q.     And I think this is just dealing with stock

    7      returns.

    8            A.     So looking at the abstract, he does seem to be

    9      talking about what I said earlier, just the residual

   10      standard error being relatively high.

   11            Q.     Yeah.   No, I'm not disagreeing with that.        I'm

   12      not disagreeing with that.          He's looking at stock price

   13      returns if you look at the charts.

   14                   But I guess what I really want to get -- as we

   15      say, get down to brass tacks.            I'm not sure what that

   16      means.      Maybe if you're a carpet installer, you know what

   17      it means.

   18                   But what -- I mean, your sense, is there some

   19      range, in your mind, is there some range of the

   20      percentage of statistically significant stock price

   21      movements that should be explained by value-relevant

   22      information, like between 20 and 80 percent, or I don't

   23      know, something, some minimum?

   24            A.     So I view this as a similar question you asked

   25      earlier, and I don't have a number of that.             It's a fair

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    1      question, but it doesn't -- I don't have an answer

    2      because it really depends on magnitudes.            And that's why

    3      I was talking about the case at hand.

    4                  In another case, if you had, for example, a

    5      stock price that went up by 5 percent, and let's suppose

    6      that was on one day.        And let's suppose that was

    7      statistically significant, meaning that on average, that

    8      price return or higher only occurs on less than one out

    9      of 20 trading days.     And then I looked at that day and I

   10      could not find any evidence of value-relative

   11      information.     And maybe that was true for a third of the

   12      days.

   13                  I don't know.     There is no statistical test for

   14      that that's in academic journals.            So that would be

   15      tricky.     And that's why I point out, and I know it's not

   16      a -- it's just a very obvious point when I approach the

   17      case at hand here, is that we're not talking about

   18      5 percent.     We're talking about unexplainably rare

   19      events.     And that's why I have so much confidence here.

   20                  If the facts were different in this case, this

   21      would be a very hard job to be able to look at these

   22      residual statistically significant returns and map them

   23      onto the absence of value-relevant information.            It

   24      becomes an easy job in this case because of the extreme

   25      magnitudes of the returns and the extreme lack of

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    1      value-relevant information coming out.

    2                  So that's why I can do that.              Your question is,

    3      is there a rule of thumb for this?             There isn't.        It

    4      really depends on the facts at hand.

    5            Q.    Now Professor Shleifer wrote this book which I

    6      put in front of you as Exhibit -- Exhibit 179.                 It's

    7      titled "Inefficient Markets:          An Introduction to

    8      Behavioral Finance."

    9                  Have you -- did you read the whole book at one

   10      point in time?

   11            A.    No.

   12            Q.    Really?   I won't tell him.             Don't worry.

   13            A.    He was one of my professors when I was a Ph.D.

   14      student, too.

   15            Q.    I think I read this once.          I don't remember it

   16      too well.

   17                  But so, generally, what is behavioral economics?

   18            A.    Sure.

   19                  So behavioral economics is a field of study

   20      where they look at -- there's a host of them -- sort of

   21      what they believe is empirical or laboratory-tested

   22      individual behavior categories.

   23                  So, for example, individuals have shown a

   24      psychological effect of sort of not admitting mistakes

   25      sort of kind of different types of biases.

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    1            Q.    Kahneman, Professor Kahneman would -- has a

    2      number of articles on that concept.                 Is that what you're

    3      referring to?

    4            A.    Precisely.   So there's -- there's two

    5      components.     One is a list of these sort of behavioral

    6      regularities that people like Tversky and Kahneman find

    7      and describing them.      Like there's just so many

    8      classic -- and they're all really fascinating, you know.

    9                  And then there is a question about whether those

   10      types of observable behavioral biases manifest themselves

   11      in markets.     And I'm being broadly in markets.

   12                  Then in terms of behavioral finance, there's a

   13      question of how those behavioral biases, to the extent

   14      they exist, manifest themselves in finance.

   15                  So, for example, one of the papers I cite -- I'm

   16      forgetting -- oh, by Terry Odean, he has a stream of

   17      papers on behavioral biases manifesting themselves in

   18      trading behavior.

   19                  So like one example he does is he looks at --

   20      this is a -- in answer to your question, this is a

   21      classic behavioral finance paper -- of he looks at

   22      trading activity of men versus women in what is now known

   23      as Schwab, Charles Schwab data.            And he shows that men

   24      trade way more often than women, and after fees have

   25      lower returns.     And he attributes this to overconfidence.

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    1                  So that's a classic example of behavioral

    2      finance.     So that's an area of it.

    3                  Now the area of that try to then move that over

    4      and try to explain pricing is much more controversial and

    5      not as powerful simply because of you and I may be biased

    6      and like to buy stocks that start with the letter B, but

    7      that doesn't mean we're going to impact prices.

    8                  So the literature about behavioral biases is

    9      pretty strong and influential in explaining mistakes that

   10      people make, like selling their winners and hanging onto

   11      their losers.     That's a behavioral bias that we observe.

   12      That's a mistake.     It has tax consequences.

   13                  That's different than behavioral literature

   14      explaining what happens to stock prices.           Not that it

   15      doesn't exist.     It's just sort of two strands in the

   16      literature.

   17            Q.    And what is the premise of this particular book,

   18      Professor Shleifer Inefficient Markets?

   19            A.    It's an overview, a broad overview for the sort

   20      of the maybe un -- you know, undergraduate or graduate

   21      student in behavioral finance.

   22            Q.    And isn't the premise that the efficient market

   23      hypothesis is not 100 percent correct all the time; that

   24      there are inefficiencies present in the market for many

   25      stocks?

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    1                  MR. RYAN:     Objection to form.

    2                  THE WITNESS:     So I don't -- that was not my

    3      reading of it.        I think he's exploring those issues.        I'm

    4      not sure he comes to the conclusion that many stocks are

    5      trading in inefficient markets.

    6                  But the story of recognizing that market stocks

    7      may trade in inefficient markets in some cases is

    8      ubiquitous.     It's been around -- it was -- I noticed it

    9      in the Roll paper you showed me.              He called it occasional

   10      frenzy.     That sounds like inefficient market.

   11                  So yes.     I just don't know -- you're asking a

   12      legitimate question.        I don't know if I would

   13      characterize Shleifer's book as saying that markets are

   14      generally efficient.

   15            Q.    BY MR. ROSEN:      Well, I didn't say that his --

   16      the premises that the markets are in -- for these stocks

   17      are inefficient markets, but there are inefficiencies

   18      present in the market at times.

   19                  Is that not two different things?           Can a market

   20      be generally efficient but there be an inefficiency

   21      present for -- that doesn't really affect its -- the

   22      efficiency of it much but still be present?

   23                  MR. RYAN:     Objection to form.

   24                  THE WITNESS:     So we've talked about this

   25      earlier.     So I never foreclose the possibility that in a

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    1      generally efficient market, that there can be temporary

    2      instances of prices deviating -- deviating and moving

    3      based on non-value-relevant news.               But they're very

    4      temporary and small.

    5                     And the reason I'm saying that is that of course

    6      life is complicated and the world's are not perfect

    7      according to any paradigm, but it's notion of

    8      arbitrageurs seeking easy money that prevents those

    9      things in general from being large and significant.                  That

   10      is the general view of most finance professors.

   11                     Not that markets are always at every point in

   12      time perfectly efficient.          There would be a minority of

   13      finance professors.        But the belief that those things

   14      could be large and lasting is very rare.

   15                     Again, I wouldn't belabor but be very brief, is

   16      that while we might -- it wouldn't shock me for a stock

   17      to move for some non-value relevant reason at a point in

   18      time.        But it would shock me if it was a thousand percent

   19      return over a whole week with no new news.               That -- that

   20      would shock me.

   21                     So I don't -- I never want to be accused of

   22      being a stickler and saying that markets are very

   23      efficient at every trading second.

   24              Q.     BY MR. ROSEN:   Now is a stock necessarily

   25      inefficient or its market inefficient if its price

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    1      responds to information that is not necessarily value

    2      relevant but price relevant?

    3                   MR. RYAN:   Objection to form.

    4                   THE WITNESS:     I'm not sure what you mean by

    5      "price relevant."

    6              Q.   BY MR. ROSEN:      Okay.      I'll -- maybe I'm assuming

    7      something, and I'll -- I'll start from the beginning,

    8      then.

    9                   So let's go to say -- let's look at Dr. --

   10      Professor Shleifer's book.            Let's look at some of the

   11      stuff he talks about, some of his -- some of the papers.

   12      He mentions a number of papers.               Let's say go to page 17

   13      of his book.

   14                   So, for example, in the middle of that page,

   15      there's a -- he cites the De Bondt -- I'm not pronouncing

   16      that correctly, probably -- and Thaler's 1985 article or

   17      study comparing the performance of two groups of

   18      companies' extreme losers and extreme winners.               And it

   19      shows that for quite some period of time, if you, you

   20      know, are selecting stocks that had been losers for a

   21      while, they'll end up becoming winners and you'll make

   22      above average return.

   23                   And some -- and conversely, if you sold short a

   24      selection -- a winner portfolio, you'd get -- you'd

   25      actually also do well because a winner portfolio went

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    1      down.       So he has that graph, for example.

    2                    So that would be an example of an investment

    3      strategy that is successful for a period -- long period

    4      of time.       It doesn't necessarily mean that stock -- those

    5      stocks are inefficient, but it's still possible to have a

    6      successful -- a successful strategy that's not based on

    7      fundamental value; right?

    8                    MR. RYAN:   Objection to form.

    9                    THE WITNESS:     So I do remember reading this

   10      paper, the De Bondt and Thaler.                You pronounced it

   11      correctly.

   12                    So the -- the basic -- my basic recollection of

   13      this, it shows that over I think a three-year period, if

   14      you buy the worst-performing stock over the previous

   15      three years and short the ones that had the highest

   16      returns, you would on net make what you would consider

   17      above-average returns.

   18                    So that's -- that's interesting.            And we would

   19      call that -- sometimes we call that mean a version.

   20      Earlier you asked about momentum.                 It's the exact

   21      opposite.

   22                    This is an old paper.          My understanding over

   23      time is that not that this phenomenon didn't exist, but

   24      we don't normally cite as much anymore for various

   25      reasons.       One is this effect seems to have gone away.               So

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    1      it would be in this sort of anomaly that was just data

    2      mining.     I'm not imputing their motives, but it just

    3      doesn't exist.

    4                  Also, when you get into three-year returns, and

    5      also, a lot of these winners and losers are the most

    6      idiosyncratic highest volatility stocks and also the

    7      hardest to trade.     Because a lot of them make up --

    8      they're sort of like small cap stocks, that this is

    9      really not as implementable as they made it sound.

   10                  If you take into account the transaction costs

   11      and also the standard errors of this, it really is on the

   12      borderline of even being statistically significant.              Even

   13      though the magnitude looks big.

   14                  But the longer the horizon for these kinds of --

   15      this sort of pre -- the mean version effect really

   16      doesn't really satisfy statistical significance.

   17                  So this paper is interesting, and it was very

   18      early on in this, but it's not really cited much any more

   19      in terms of something that's real.

   20                  So I'm not saying there aren't -- what you're

   21      talking about here is similar to stuff we talked about

   22      earlier when I mentioned weekend effect, January effect,

   23      day of the week effect, and this is sort of winners

   24      versus losers or meaner version.           There's a host of

   25      these.

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    1                  What becomes the one that's predictive now is

    2      going to be different than the ones that are predicted in

    3      five years.

    4                  So I never know what to make of these studies.

    5      Most finance professors view them as interesting

    6      anecdotes, and in this case, a very well done one, but

    7      not something that we would use to prove or disprove the

    8      efficient markets we're talking about.

    9            Q.    BY MR. ROSEN:     Well, is it possible that they

   10      don't last that long because once professional traders

   11      learn about them, they implement them, and then the

   12      competition drives down the returns from them?

   13            A.    It is possible.     And I would call that a version

   14      of what I talked about earlier about arbitrageurs in

   15      efficient markets.     So it's certainly the case that there

   16      is probably -- at this moment in time, there's some

   17      exploitable phenomenon that exists that we're not aware

   18      of, and if an academic finds it and publishes it and it's

   19      new, it's not going to last long.

   20                  And question is always are there these

   21      unpublished phenomenon, anomalies that exist that we

   22      don't know about or traders know about.

   23                  I don't know the answer, but I suspect that

   24      there's a reason why hedge funds hire people not just

   25      finance Ph.D.s, but physics Ph.D.s and computer science

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    1      Ph.D.s, that are scouring the world for stuff just like

    2      this that's not published.

    3                  But your story about these being self-defeating

    4      I agree with.

    5                  MR. RYAN:    So we've been going, Larry, for about

    6      an hour and 40 minutes.

    7                  MR. ROSEN:    Oh, do you guys want to take lunch?

    8                  THE REPORTER:     Off the record, Counsel?

    9                  MR. ROSEN:    Okay.     Off the record.

   10                  (Recess.)

   11                  THE REPORTER:     Back on the record.

   12            Q.    BY MR. ROSEN:     Professor Grenadier, can you go

   13      back to that Andrew Shleifer article or, I'm sorry, book

   14      that I had marked as an exhibit previously.

   15            A.    I have it.

   16            Q.    I wanted to address one other issue.

   17                  So if you go to page 20 of the book, page 29 of

   18      the PDF, the first full paragraph in the middle of the

   19      page, it begins, "Finally," with the basic proposition

   20      that stock prices do not react to non-information.

   21            A.    Yeah.

   22            Q.    Just take a quick look at that paragraph and

   23      I'll ask you about it.

   24            A.    Okay.

   25            Q.    So Professor Shleifer mentions a few different

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    1      events for this proposition that stock prices actually do

    2      react to things that are not value-relevant information.

    3      And so he has -- he has three -- he mentions three

    4      examples.

    5                     One is the crash of -- the stock market crash of

    6      1987.        I think they call Black Monday, October 19, 1987,

    7      where the market drops 22.6 percent, the largest one-day

    8      drop in history, without any apparent news.

    9                     And so that was one example he gave; right?

   10                     MR. RYAN:   Objection to form.

   11              Q.     BY MR. ROSEN:    And then he gives another

   12      example, there's, I guess, a paper by Cutler 1991, where

   13      he examines the 50 largest one-day stock price movements

   14      in the US after World War 2 and found that many of them

   15      came on days of no major announcements.

   16                     So how -- I mean, that seems to rebut your --

   17      your earlier statement that stock prices did not react to

   18      non-information; does it not?

   19              A.     I don't believe it does.          But let me talk about

   20      the cite that I know more about, and that is the 1987

   21      crash.

   22                     So at one point -- it's been while -- I used to

   23      teach about this to my students.               I believe it was a

   24      Richard Roll paper that discussed this, and it's a clever

   25      paper and comes to a conclusion like this, is that a lot

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    1      of people in retrospect viewed that there was some very

    2      important information on that day, but it was unusual

    3      because it was a -- an issue with market-wide

    4      illiquidity.

    5                  And what I mean was there was lots of trading on

    6      that day, and what we learned is some markets that we

    7      thought, like the US market, we thought was able to

    8      accomplish very large amount of trades in a short period

    9      of time if needed, and they couldn't.              It literally is a

   10      technical matter, the US market could not keep up with

   11      the number of trades.

   12                  And that's an important information because it's

   13      information about the ability to trade stocks in the US,

   14      and that was new information.

   15                  There was also new information in that time

   16      about I believe in a House Committee in the US Congress

   17      was going to do some sort of anti-takeover litigation.

   18      That was news.     So there was news.

   19                  I just think that some people didn't believe

   20      that that news was important enough on an international

   21      scale, but I think in retrospect, a lot of us believe

   22      that something that's going to impact the US market is

   23      highly likely to impact other markets.

   24                  So if, for example, it was a surprise to the

   25      market that you were going to a Court -- curtail

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    1      takeovers, in general that's considered a bad thing for

    2      markets because most takeovers are value increasing.              Not

    3      all of them.        And if you take away from the economy the

    4      ability to do those value-increasing transactions on a

    5      long-term basis, that could have large economic

    6      ramifications.

    7                  So it is not my opinion that the 1987 crash was

    8      without value-relevant news.            There was a lot of

    9      value-relevant news.        And I don't believe that there's a

   10      strong consensus with that statement there that Professor

   11      Shleifer lists.        I think a lot of us believe that there

   12      was important and large value-relevant news preceding

   13      that crash.

   14             Q.   BY MR. ROSEN:      What about the Cutler paper?       Are

   15      you familiar with that or?

   16             A.   Just vaguely.      I -- I read that probably around

   17      1991 so that's a long time ago.              And my recollection is

   18      that dealt with the overall market, the whole stock

   19      market, not stock by stock.            It's a little different kind

   20      of issue.

   21                  But I -- I have not revisited that in a long

   22      time so I just don't have a strong recollection of that

   23      one.

   24             Q.   Okay.     Now he also on the next page, page 21, he

   25      mentions the phenomenon of what happens to a stock when

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    1      it gets included in the S&P 500 index.                 And looks like

    2      it's accompanied by a 3.5 percent on average

    3      permanence -- permanence price -- I'm sorry -- permanent

    4      abnormal return.      It's page 22.           There's a graph.

    5                   So my question -- well, take a second and just

    6      take a look at that.         I don't want to make you answer a

    7      question if you haven't read -- read that.                 I just want

    8      to make sure.

    9                   Are you familiar with that -- that phenomenon?

   10            A.     Yeah, that's a -- that's an Andrei Shleifer

   11      paper.      The author of this book wrote this paper that I

   12      believe he's citing here.

   13            Q.     Yeah, I see.     Shleifer 1986.

   14                   And it says, "These increases are relatively

   15      permanent and have become larger as the relative share of

   16      the market-held index funds has increased."

   17                   So do you have any fundamental disagreement with

   18      that research about the S&P 500?

   19            A.     So I'm familiar with that paper.             I'm not an

   20      expert in that paper, but two points I'll make.                  One is I

   21      don't believe it's without controversy that being added

   22      to the S&P 500 index is without information.

   23                   There is -- my understanding is, at least at

   24      that time, there's discretion of which stocks the S&P may

   25      allow in.

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    1                  I mean, there was some issue recently, I

    2      believe, when Tesla wasn't added, even though technically

    3      they were one of the largest 500 stocks.              They have some

    4      discretion in there.

    5                  And so it's not clear that the inclusion in the

    6      S&P 500 is a purely mechanical thing.              It could be based

    7      on other types of information.

    8                  So I've certainly heard finance professors argue

    9      that this -- they don't agree that it has no information

   10      content.

   11                  And the other thing I'll say is:           I have no idea

   12      if this is a persistent thing today, but I have to say in

   13      my answer that a three-percent increase in a price is a

   14      very different phenomenon than a thousand percent

   15      increase in price.

   16                  And so I may not be shocked if you'd come up

   17      with examples of something going up by 3 percent that's

   18      it's hard to nail --

   19            Q.    Three and a half.     Three and a half.

   20            A.    Three and a half.     Thank you.        A three and a

   21      half percent increase without obvious value-relevant

   22      information is very different than a thousand percent.

   23                  And I just -- I just think that can't be lost in

   24      this case.     I do not want to be characterized as a straw

   25      man that would say three and a half percent unexplained

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    1      increase is powerful evidence of a lack of efficiency.

    2      That would be a straw man and a caricature that I don't

    3      think would be fair to say to me.

    4                    I'm opining in this case about these stocks for

    5      a two-week period.       I'm not saying over the life of these

    6      stocks.       I'm not saying all stocks.

    7                    I'm saying this is a very monumental and

    8      unexpected phenomenon, and as I wrote in my report,

    9      there's three ways of making this clear.               One is for most

   10      of them, it was either the highest increase during this

   11      week they've ever had in their history, if not first,

   12      maybe second; it was among the very highest of all stock

   13      movement like one, two, three, and four, of any stock

   14      traded in an organized exchange in the US during the

   15      time.       And if you go through a 20-year history and try to

   16      randomly select portfolios that perform like these meme

   17      stocks, it is a one our of a million event.

   18                    So I just want to make clear:          I am not arguing

   19      against this graph that there's a three and a half

   20      percent puzzle.       I don't try to explain every three and a

   21      half percent puzzle in the world.

   22                    I wish I could because this is very interesting,

   23      but a three and a half percent puzzle is a very tricky

   24      one.    But a thousand percent puzzle over one week is more

   25      than tricky; it's impossible to explain with a rationale

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    1      efficient market argument.

    2            Q.    Well, Professor Shleifer -- Shleifer refers to I

    3      believe something called a demand shock.           And he says

    4      that he suggests that these price increases are resulting

    5      from increase in demand.

    6                  Is that right?

    7            A.    That's -- that's my understanding of his

    8      explanation.

    9            Q.    Are you familiar with any other academic

   10      research that talks about demand shocks causing price

   11      changes in securities?

   12            A.    So I have some recollection of some papers

   13      finding examples of this.       But the reason -- I bet this

   14      paper has many, many cites.         And why do I think this

   15      paper, this Shleifer paper on this demand effect, has so

   16      many cites?

   17                  Because A, it's a very obvious thing that we all

   18      knew anyway, or B, it's a very rare event that's

   19      fascinating.     And it's B.

   20                  So, yes, there probably are other papers that

   21      talk about demand shocks having a price impact.

   22      Hypothetically, someone could have something that is

   23      added to the Wilshire 5000 and showing no noticeable

   24      effect.     That's possible.

   25                  But if this was the normal state of affairs, why

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    1      would anybody cite or care about this paper?         The reason

    2      this paper is shown to us and the reason it's cited so

    3      many times is it's essentially the exact opposite.          Its

    4      whatever it's called, that proves the rule.         It's the

    5      exception that proves the rule.

    6                  It's an unusual thing that I -- that we have a

    7      hard time explaining, but not it's ubiquitous or else it

    8      wouldn't be a very interesting paper.

    9                  If every time there was some sort of demand

   10      shock, like a restriction on demand or an increase in

   11      demand that exogenous, and we saw this, why would anybody

   12      care about this paper?

   13                  It's a very unusual phenomenon, and as I said,

   14      the -- we were talking about a -- you were careful about

   15      saying a three and a half percent, a three and a half

   16      percent, that is surprising to finance academics and

   17      that's why we're taking about it.

   18                  Instead of saying a three and a half percent, it

   19      said a thousand percent, this would be the most cited

   20      paper in history if this was normal.

   21            Q.    I mean, couldn't that sharp price increase in

   22      these nine affected stocks be caused by a demand

   23      increasing the demand for the stocks by the retail

   24      investors or whoever else was interested in purchasing

   25      the stocks?

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    1            A.    So as I -- as I said earlier, even if I said

    2      hypothetically that was true, I don't know.          As I said

    3      earlier, I'm not as ascribing causation to the price

    4      run-up.

    5                  But just for argument's sake, suppose due to

    6      this increase in demand by retail investors, and in

    7      this -- in this hypothetical that I'm offering, it's not

    8      based on anything that's dealing with cash flow.          It's

    9      based on something, but not based on forecasts of cash

   10      flows.

   11                  If it did increase, and it was not based on

   12      forecasts of cash flows, then this price would be above

   13      its efficient value and arbitrageurs would swoop in and

   14      short it.

   15                  And the fact that we did not see that is

   16      consistent with the type of evidence that people offer,

   17      and to some extent, I offered some empirical evidence on

   18      this, that there were frictions to shorting during this

   19      period of time.     In particular, there was very high short

   20      interest in some of these stocks, and there was very high

   21      borrowing and lending fees on these stocks.

   22                  So the fact that if demand pressure unrelated to

   23      value-related information caused the stock price to go

   24      up, which I'm not contending.          But if it did, then this

   25      would be the classic examples for arbitrageurs to come in

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    1      and profit from this and short it.

    2                  And the fact that we don't see evidence of the

    3      price going back down based on some arbitrage activity

    4      makes me suspicious that there are impediments to

    5      shorting during this time, and I document some of that.

    6            Q.    Well, I mean, certainly there were a lot of

    7      people going short on these stocks during this time

    8      frame; right?

    9                  MR. RYAN:   Objection to form.

   10                  THE WITNESS:     So I don't know, as I sit here,

   11      how many people were shorting it.               I do know that there

   12      was very high short interest.             Could be by one or two

   13      institutions or many.        I literally do not know.         But some

   14      of these stocks, of course, did have very high short

   15      interest.     I think GameStop at some point had more than

   16      100 percent short interest.

   17            Q.    BY MR. ROSEN:      Yes.     So -- so if a stock's got

   18      123 percent short interest, doesn't that mean that's

   19      there's no impediment to shorting the stock?

   20            A.    I think if you asked the people who were

   21      shorting it and asked them if they had an impediment to

   22      shorting this stock, they would say yes.

   23            Q.    How much more than 123 percent do you want to go

   24      for short interest?

   25            A.    I have no desire to go above or below that.

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    1      What I'm saying is there was obviously pressure on these

    2      people who were shorting it.            One was it was getting

    3      expensive to short it because there were so many shorting

    4      it.

    5                  The fact that many were shorting it, all that

    6      tells me is that there were many bearish investors.              I

    7      don't know what else to glean from that.              The people who

    8      were shorting it were bearish.

    9                  And the fact that there were at this time the

   10      transaction costs of shorting, and importantly, to the

   11      extent that others say that there was coordinated retail

   12      trading activity pushing up the price, that puts margin

   13      pressure on those short, making -- on those shorts,

   14      making their position very risky.

   15            Q.    Well, yeah.     I mean, investing's risky.

   16            A.    Investing is risky.         Trying to undo some sort of

   17      phenomenon, which I don't know the cause of, that causes

   18      cost to go up 1000 percent in one week, is a very unusual

   19      amount of risk.

   20                  So, yes, investing is risky, but -- and I see

   21      risk all the time.        I don't see what I see in this

   22      current case, often at all.            As I said, it's a

   23      one-of-a-million phenomenon.

   24                  So I don't know that I've seen anything quite

   25      like this, of nine stocks often talked about in the same

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    1      sort of social media circles moving up unprecedented

    2      amount in a period of one week with some of them having

    3      very large short interest.

    4                  I'm just saying facts as I understand that.

    5      These are very unusual facts.           And I can't think of any

    6      analogous discussion that you and I have had today that

    7      is anything remotely resembling this.

    8                  That's why, again, I don't easily claim a stock

    9      trade in a market that's not efficient.             I don't do that

   10      easily.     It's the facts of this case.

   11                  If it was a normal case, I wouldn't be so cold.

   12      Just the facts in this case, as you know, are

   13      unbelievably unusual.      And that's why I can say with such

   14      confidence that that one week run-up is not tethered to

   15      value-relevant information.

   16            Q.    Okay.   You've made that point, and you know, I'm

   17      asking about this because I'm interested in understanding

   18      a couple of things.      One is why an increase in demand for

   19      a stock, for whatever reason, whether it be

   20      value-relevant information or simply investor sentiment

   21      should necessarily mean that a stock is not being priced

   22      in a reasonable fashion, that it's not a fair price, a

   23      fair market value price, where buyers and sellers are

   24      satisfied that this is a fair price if they want to

   25      transact that.

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    1                  MR. RYAN:    Objection to form.

    2                  THE WITNESS:     So it's important when I answer

    3      this question to be clear on what motivated a demand

    4      increase.     So if counter to what I believe your

    5      assumption was in your question, that a demand increase

    6      for stock X, because the market perceived that there was

    7      information, value-relevant news that dividends would --

    8      or earnings would be permanently increased for this firm,

    9      that would increase demand, and that would increase

   10      price.

   11                  There's nothing unusual about it whatsoever.

   12      That makes sense.       Because there's nothing for an

   13      arbitrageur to take away because that price increase was

   14      connected and driven by value-relevant information.

   15      There was no money machine there.               It moved up for good

   16      reason, good value-relevant information reason.

   17                  Alternatively, as I said, the converse would be

   18      the demand went up for something that was not value

   19      relevant.     Let's just say it went up because they were in

   20      a happy mood that day.         The price goes up, and it has

   21      nothing to do with future dividends.

   22                  That price has increased for no rational

   23      value-relevant reason.         That's when arbitrageurs come in

   24      and would short it in this case.              Because they know that

   25      that price is not a price that investors are going to

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    1      live with because it's a money machine.              It's too good.

    2                  It means that -- it's too high and that

    3      investors are going to be getting lower yield on those

    4      stocks and not be happy with it in the long run and the

    5      price will go down.

    6                  So prices that move because of demand that is

    7      unrelated to anything to do with the fundamentals of the

    8      stock, value-relevant information, are going to be

    9      arbitraged away.

   10                  And yes, demand went up.           But if demand goes up

   11      for reasons unrelated to the future cash flows of the

   12      stock, those will be arbitraged away.

   13                  So I'm not saying demand doesn't matter.           I'm

   14      saying if demand goes up or goes down based on

   15      non-value-relevant information, then in an efficient

   16      market, that should have no impact on the price.

   17            Q.    BY MR. ROSEN:     You say it should not have an

   18      impact?

   19            A.    Yeah.

   20            Q.    Theoretically.

   21            A.    Well, it should not theoretically have an impact

   22      on the price.       And unless we believe that there are all

   23      these fantastic arbitrage opportunities as an empirical

   24      matter that are just sitting there, then I also would say

   25      as an empirical matter, these easy pickings aren't

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    1      available that long.

    2            Q.    So put options on these nine stocks.            During the

    3      pre-class period, was there any limit to the number of

    4      put options that could be written on these nine stocks?

    5            A.    I haven't looked into that.            I have not -- I'm

    6      not aware of reading a limit on the put options.               I just

    7      don't know the answer to your question.

    8            Q.    And I think the SEC report said there was quite

    9      a bit of options activity on these stocks.

   10                  Are put options a close substitute for going --

   11      selling short to these nine affected stocks?

   12            A.    They -- a put option onto itself does have

   13      similarities with shorts.       Because in both cases as the

   14      underlying stock price falls, the values go up.               Shorting

   15      value goes up as the stock price falls and a put option

   16      goes up as the stock price falls.            So they have that

   17      similarity.

   18            Q.    So if somebody, an arbitrageur who wanted to

   19      make a short position but was finding it hard to borrow

   20      the stock for whatever reason, not available or borrowing

   21      costs were high, they could have bought a put option and

   22      arbitraged away these what you believe to be the rational

   23      prices.

   24                  Am I putting words in your mouth when I say

   25      rational price?

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    1            A.     I don't use that phrase.         I know what you mean

    2      by it.      I try not to use that phrase I just say whether

    3      it's an efficient market or inefficient market.

    4            Q.     So couldn't arbitrageurs who were unable or

    5      unwilling to pay the cost of selling -- going short,

    6      could they have just bought put options and constructed

    7      an equivalent portfolio to arbitrage away these perceived

    8      inefficiencies?

    9            A.     So it is my understanding that an alternative to

   10      shorting can be purchase a put option.              It's also the

   11      case that in typical times when there are high costs of

   12      shorting, there can also be high cost of going in put

   13      options.      And what would I mean by that?          There could be

   14      very large bid-ask spreads for put options.

   15                   I haven't looked into this here, but typically

   16      it's the case that put options themselves at times can be

   17      illiquid and there could be high bid-ask spreads.              There

   18      could be all sorts of reasons why put options are not

   19      without frictions, also.

   20            Q.     Now there was an interview with Mr. Peterffy.             I

   21      can't recall his first name.          The guy who owns

   22      Interactive Brokers.

   23                   Do you familiar with him?

   24            A.     I don't recall his name.

   25            Q.     His name is Peterffy, and he was -- he was

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    1      interviewed, I believe, on CNBC.              In fact, I think --

    2      anyway, he -- he went so far as to say that he thought

    3      that because there were so many call options written on

    4      GameStop on the 26th and 27th, he thought that because

    5      those call options were in the money and people were

    6      going to have to buy shares to cover the call options

    7      they had written, that if those restrictions hadn't been

    8      put into place, the price of GameStop would have gone

    9      over a thousand because people would have had to -- there

   10      would have been additional demand in the market for those

   11      shares.

   12                  And does -- does that -- if that were true,

   13      would that mean the stock for GameStop was inefficient

   14      because the price was rising based on that demand?

   15                  MR. RYAN:     Objection to form.

   16                  THE WITNESS:     So I'm a finance professor and a

   17      finance expert, but I could not put all that together in

   18      my mind in real time to be able to understand it.              I was

   19      not blaming you.        It's a relatively complicated example.

   20      That would be kind of one, it would helpful if we go

   21      really slow or you put it on the screen, but that had a

   22      lot of moving parts.

   23            Q.    BY MR. ROSEN:      I would have to replay -- I guess

   24      I could get this at a break, but the essence of it is

   25      that Peterffy, who runs Interactive Brokers, he's, you

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    1      know, I don't know, the guy's worth 25 billion or

    2      something.      So he's obviously smarter than me.        I won't

    3      say he's smarter than you.            But he knows the markets;

    4      right?      He runs -- he runs a pretty successful brokerage

    5      firm.

    6                   And his belief is that there were many call

    7      options written, and the number of call options that were

    8      written meant that there was going to be tremendous

    9      demand for these GameStop shares and that those -- price

   10      of the GameStop shares would have risen over a thousand

   11      had those restrictions on the 28th not be put into place

   12      because people would have had to purchase -- the people

   13      who wrote the options would have to purchase those

   14      shares, and that was one of the causes for the increase

   15      in price for the -- based on the demand -- the demand

   16      by -- for the shares by those call options.

   17                   So the question -- the question is:        If that

   18      were true, would that necessarily mean the market was

   19      inefficient simply because the demand resulting from the

   20      call options caused the stock price increase?

   21                   MR. RYAN:   Objection to form.

   22                   THE WITNESS:     So the connection between call

   23      options and the underlying stocks is sort of a well-known

   24      topic area.      And more than just a call, but if you look

   25      at calls and puts in the underlying stock at the same

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    1      time, there's a -- there's a well-known concept called

    2      put-call parity that exists.         It's not the same thing as

    3      talking about market efficiency, but it's very close.

    4                  And so I haven't -- I don't know exactly what to

    5      make of his explanation or description, but I do know

    6      that people have looked at GameStop and others during

    7      this time and noted deviations from put-call parity, that

    8      is, normally there's a very close formula that connects

    9      stock price and its option prices.            Because if it

   10      deviates from that, there would be an arbitrage

   11      opportunity.

   12                  So a lot of times in the real world when you

   13      test this, it's not perfect, but it's really good.

   14                  I believe one of the studies that noticed

   15      oddness in the valuation of options relative to the stock

   16      price at this time was one of the papers cited by

   17      Dr. Werner in his rebuttal report.            It was a working

   18      paper from a few years ago.         I think one of the authors

   19      was Jones.

   20                  And if you look at that paper, it discusses

   21      anomalous behavior in the volatility of options, which

   22      is -- we talked about earlier, the function of the price

   23      of options.

   24                  So, again, I haven't looked into this, but it

   25      would not shock me during a time in which I would say

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    1      markets were wildly inefficient and at the same time

    2      would see prices deviating from put-call parity.

    3                  Also, by the way, the Franklin Allen paper, as a

    4      test of market efficiency, does something similar to the

    5      quote you're talking about, and looks at the connection

    6      between option prices and stock prices.

    7                  And my recollection is the Franklin Allen paper

    8      shows this is evidence of market inefficiency in these

    9      meme stocks during this period of time, that the

   10      connection between options and the underlying stock, for

   11      whatever reason, broke down.

   12                  And the Franklin Allen paper used this as

   13      evidence of market inefficiency in this time.          The --

   14      also the paper -- I'm almost finished here -- the Jones

   15      paper also called this some sort of bubble, too.

   16                  So the Jones paper that Dr. Werner mentioned is

   17      also aware of the sort of non-efficient market story

   18      going on during this time.        And as sort of part and

   19      parcel to this, there was something unusual going on

   20      between options and the stock.          I just, as I sit here,

   21      haven't looked at it enough to be able to disentangle

   22      what caused what, whether the options caused the stock or

   23      the stock caused the options.

   24                  All I know is there's some empirical evidence by

   25      some researchers that the normal, non-arbitrage

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    1      relationship between these things broke down for these

    2      stocks during that time.

    3             Q.   Do you know who Professor Gabaix is?

    4             A.   A little bit.     G-A-B-A-I-X?

    5             Q.   Yeah.

    6             A.   He's -- yes, he's a -- I forget if he's at NYU.

    7      But yes, I'm aware of him.          He's a relatively famous

    8      economics professor.

    9             Q.   All right.    And are you aware of a paper he

   10      wrote with a guy named Koijen in 2022.               I'll show it to

   11      you.    Well, I don't know.

   12                  Have you -- the name of the paper -- let's see.

   13      It's called "In Search of the Origins of Financial

   14      Fluctuations:       The Inelastic Markets Hypothesis."

   15             A.   No.

   16             Q.   Have you ever read it?

   17             A.   I haven't.

   18             Q.   Well, it's only 123 pages long.            How long do you

   19      think it would take you to read it?

   20             A.   Longer than most people.           It takes me a long

   21      time to read articles.

   22             Q.   All right.    Let's talk about coordinated

   23      trading.

   24                  What is your definition of "investor

   25      sentiments"?

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    1            A.     Investor sentiments?

    2            Q.     Yes.   I see that in the literature here and

    3      there.      Is there like an accepted definition of it?

    4            A.     So I certainly do know -- I have definitely seen

    5      the phrase used in academic literature.              I don't have a

    6      great definition of it other than it usually occurs in

    7      papers.      Because obviously on the face of it, investor

    8      sentiment could be anything that investors believe.

    9                   But my recollection is the context of the papers

   10      that cite it are usually getting at something akin to

   11      noise traders.       Investor sentiment is usually given that

   12      sort of meaning of something that's not driven by sort of

   13      value-relevant information.           But that may not be the only

   14      standard paper.       But that's my general reading of that

   15      phrase.

   16            Q.     Did the investor discussions on Reddit and Wall

   17      Street Bets and other social media in January 2021

   18      concerning the nine affected stocks, in your opinion,

   19      represent widespread investor sentiments?

   20            A.     I don't know if I've come to that conclusion.             I

   21      certainly -- I mean, I don't have that conclusion.              I

   22      certainly could find possibly others that may have that

   23      belief.      I'm sure there are many.          But I haven't come to

   24      that conclusion.

   25            Q.     What conclusions did you come to about the

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    1      investor discussions on Reddit and other social media in

    2      January 2021 about the nine affected stocks?

    3            A.    Sure.   Just a few.      So in the context, this came

    4      up when I mentioned that I have an opinion that the

    5      market for these nine stocks during this two-week period

    6      that we've spoken about were not traded in efficient

    7      markets.

    8                  And then to put that in context, I wanted to

    9      mention other people.      So I mean academics, stock

   10      analysts, and the media in general commented at length

   11      about this, and many of the comments talked about social

   12      media and Reddit and the like.           And they had all sorts of

   13      discussions about that.

   14                  So this is, I would say, contextual.              I do not

   15      have an opinion one way or another about the content of

   16      these other than the fact that I'm aware as an empirical

   17      matter that there is an association between the level of

   18      activity of social media mentions of the meme stocks and

   19      their price activity.      So I'm aware of that.

   20                  It's in academic articles.              It's in a couple of

   21      Bank of America analysts reports.             It's in a Lasse

   22      Pedersen recent paper.       That's all interesting and I

   23      think provides interesting context and important context

   24      for this.     But I don't have an opinion one way or another

   25      about the underlying discussions on Reddit.

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    1              Q.     You used the term "coordinated trading" in your

    2      reports.        What is your definition of "coordinated

    3      trading"?

    4              A.     Sure.

    5                     So it's finding a mechanism for multiple

    6      investors to trade in concert in some way.                   And keep in

    7      mind, I'm talking as an economist.                I'm not talking

    8      anything about conspiracies or anything about the law.

    9                     It's just a mechanism for coordinated trading,

   10      for people to trade together in a certain way, for

   11      whatever reason they may have for that.

   12              Q.     Well, so there were people -- a large number of

   13      people who -- well, you heard of this term "diamond

   14      hands" on social media on January 21 in the context of

   15      the nine affected stocks; right?

   16              A.     So yes, I have.     I don't know what it means,

   17      though.        I know it and I've seen it.             I did not Google it

   18      to figure out what "diamond hands" means.                   I can honestly

   19      say I don't know what "diamond hands" means.

   20              Q.     All right.   I can represent to you that I

   21      actually believe someone testified to this, one of the

   22      plaintiffs, but I'll -- my understanding is that it means

   23      I'm holding the stock forever for, you know, the long

   24      haul.        I'm not -- I'm not in this for the short term.

   25      I'm going the hold this and not -- not let go of it.                   I'm

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    1      going to hold it and not let go, ever.

    2            A.     Buy and hold investor.         Okay?

    3            Q.     Yeah.   And so there were those -- you know,

    4      there were a large contingent who were diamond hands

    5      people, and then there was also people who were talking

    6      about short squeeze.

    7                   And like I guess to me, the -- the idea of

    8      making money with a short squeeze is you're going to hold

    9      it until it gets up -- goes up, and then you're going to

   10      sell it before, you know, before the shorts cover it;

   11      right?      Before it goes back down; right?

   12                   Is that a fair analysis of how you make money on

   13      a short squeeze?

   14            A.     So that strikes me as a way of doing it.                 Of

   15      course, it's easier said than done.                  But yes, the idea of

   16      a short squeeze is to ride it up as it puts pressure on

   17      the shorts to end up buying back the stock, which feeds

   18      on itself and makes it go up even higher.                  And then

   19      generally people believe, for various reasons, the price

   20      goes back down.       In that time, you want to be out of the

   21      stock.      But the timing of it is always very tricky.

   22            Q.     So would you agree that these would be two very

   23      different investment strategies?             The diamond hands,

   24      long-term investors would be having a very different

   25      investment strategy than the more short term, short

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    1      squeeze investors?

    2            A.    So I'm just accepting as given the premise of

    3      your question.     I have no reason to doubt your -- your

    4      definitions.

    5                  So yes, I think definitionally an investor who I

    6      would call buy and hold -- I think you called that

    7      diamond hands -- a buy-and-hold investor and investor

    8      who's trading based on some timing mechanism is very

    9      different.

   10                  And I kind of think if I was teaching a class on

   11      portfolio or investment strategies, I would probably

   12      start with the difference between buy-and-hold investors

   13      and short-term investors.          That's like where I would

   14      start as very different strategies.

   15            Q.    Is it your opinion that the people who were

   16      engaging in coordinated trading on social media were in

   17      some way manipulating the prices of the nine affected

   18      stocks?

   19            A.    I don't have an opinion on that.

   20            Q.    Is it your opinion that the people who were

   21      coordinating trading on social media for the nine

   22      affected stocks were somehow distorting the prices of the

   23      nine affected stocks?

   24                  MR. RYAN:   Objection to form.

   25                  THE WITNESS:     I don't have an opinion on

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    1      causation of what caused what I would consider the

    2      incredible run-up in prices during that period.             I don't

    3      have an opinion on causation, whether it's coordinated

    4      trading or short squeezes.

    5            Q.    BY MR. ROSEN:   Okay.      Now in your report, you

    6      mention analysts.     There's a section on analysts, I

    7      believe, somewhere.     And you discuss -- let's see if I

    8      can find it.     I guess it's on page 66.          Let's see.

    9                  I'll withdraw that question.

   10                  So do analysts' recommendations -- would you

   11      consider analyst recommendations to buy, sell, or hold

   12      the stock to be value-relevant news that could impact the

   13      price of stock, move the price of stock?

   14            A.    It -- it depends on why they make such a

   15      decision.     So here's what I mean.         A recommendation is

   16      not in and of itself information.            It is sort of a

   17      summary of information in how they base an overall

   18      decision based on underlying information.

   19                  So if -- I'm just making a hypothetical here to

   20      make my point.     If an analyst said, "I have updated my

   21      opinion that stock A dividends or cash flows are going to

   22      increase much more than I anticipated, or much more than

   23      other investors think; therefore, I'm raising my rating,"

   24      I would call that in its totality value relevant.

   25                  If on the other hand, the investor said, "I

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    1      think we're in a bubble and I suggest this bubble is here

    2      to stay for a while, why don't you ride the bubble and

    3      buy it and hang onto it for a while, and therefore, I'm

    4      going to say it's a strong buy," I would call that

    5      non-value relevant information.

    6                  I'm not going to judge the recommendation unto

    7      itself as value relevant or not, but the basis for that

    8      recommendation.

    9            Q.    But if an analyst's recommendation is based on

   10      his changed view of the cash flows, but that changed view

   11      is not a function of any new news coming from the company

   12      or any other source as to the nature of those cash flows,

   13      why should that new view impact the price of the stock?

   14            A.    So analysts in general -- I'm not going to say

   15      any one analyst in particular -- provide value in at

   16      least two ways.     I'm thinking about it as two ways

   17      fundamentally:     One is uncovering information that's

   18      value relevant; but two, and sometimes more common, is

   19      interpreting -- interpreting new value-relevant

   20      information.

   21                  So as an obvious example, a firm could have an

   22      earnings announcement on a day.           Generally, that's at

   23      least fodder for value-relevant information.           And the

   24      fact that two analysts both mentioned that would not be

   25      very interesting.     You wouldn't be paid for that.

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    1                  However, one analyst might say, "This

    2      foreshadows more of the same because I believe there's

    3      barriers to entering this industry."                  And then the other

    4      analyst says, "Don't be fooled by this.                  This is an

    5      accounting trick because they had a temporary, you know,

    6      increase in, you know, goodwill or something like that."

    7                  All I'm saying is that analysts also interpret

    8      that information, and if one analyst interprets that

    9      information in a way that changes the recommendation, and

   10      it's based on their interpretation of value-relevant

   11      information, like in my hypothetical, then I would

   12      consider that potentially value-relevant news.

   13            Q.    So in paragraph 109 of your report, you say that

   14      academic research has recognized that noise traders can

   15      pose risks to arbitrageurs.

   16            A.    I have the right page.           I just want to see where

   17      you got that from.      Was that a quote or was that like a

   18      summary, what you just said?            I couldn't find it.

   19                  MR. RYAN:   I think it's at the end of the second

   20      sentence.

   21                  THE WITNESS:     Okay.      Thank you.

   22                  Okay.   I see it.

   23            Q.    BY MR. ROSEN:      So do you think that the retail

   24      traders in these nine affected stocks posed a risk to the

   25      arbitrageurs who were selling short these nine affected

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    1      stocks?

    2            A.    Did you say retail?         Because that one word, I

    3      didn't hear.     I think you said retail.

    4            Q.    Yes, retail.     Yes.

    5            A.    So I don't have an opinion on that.            That's a

    6      causal story.     I certainly am aware that some people have

    7      the opinion that there was -- that these retail investors

    8      either purposefully or non-purposefully coordinated

    9      driving up the price, putting pressure on these short

   10      sellers.

   11                  That's a story that's out there.            It's obviously

   12      in the Franklin Allen paper and others.               I don't have an

   13      opinion on that.     It's a story that is definitely

   14      credible to me, but I haven't formed an opinion on that

   15      one way or the other.

   16            Q.    Well, wouldn't the flip side of that story be

   17      that the short sellers were ganging up against these nine

   18      affected stocks to drive the price down so they could

   19      profit?

   20            A.    So I don't know if either of those stories are

   21      true, in fact.     All I'm convinced of is that those

   22      markets were not efficient during that period of time.

   23      Whether you believe it's possible that the line of

   24      causation goes from retail investors to the stock price,

   25      or alternatively, you believe the line of directionality

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    1      goes from the short sellers to the stock price, it

    2      doesn't change my opinion.

    3                   I would just say that when I read the academic

    4      articles and the analyst reports, they mostly subscribe

    5      to the hypothesis that the directionality goes from

    6      retail investors causing the prices to go up beyond

    7      efficient values, putting pressures on short sellers to

    8      even exacerbate the price run-up itself.

    9                   That's -- I don't have an opinion on that.         I'm

   10      just saying that's what I view as the common narrative

   11      from the academic articles, for example.

   12            Q.     Is there limit to how many shares of a company's

   13      stock can be sold short?

   14            A.     That's an interesting question because most

   15      people are surprised that short interest can go above

   16      100 percent.      So I don't know if there's a limit.      There

   17      may not be.

   18                   So it is unusual to have short interest go over

   19      100 percent because that would mean more than the number

   20      of shares outstanding are shorted, and there's a

   21      technical reason why that is the case, is that one person

   22      borrows stocks from another, and then that person itself

   23      lends it to another person.          So it gets turned around

   24      twice.      It's shorted twice, the same shares.      And it can

   25      be done even more.

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    1                  So it's something that we know is possible.            I

    2      personally wasn't aware how -- that I thought this was a

    3      very rare event, and maybe it is.            But I'm certainly

    4      aware of GameStop, for example, at times having shorts

    5      over 100 percent, which is a surprising number.

    6            Q.    In paragraph 26 -- let me see which report this

    7      is.   Yeah, it's your opening report.

    8                  On paragraph 26, you say, "My own analysis of

    9      data from the stock lending market also provides evidence

   10      to the strengths that may have inhibited the ability of

   11      arbitrageurs and other market participants to sell short

   12      certain at issue stocks."

   13                  Now you used the term "may have inhibited,"

   14      which is uncertain.     It implies some level of

   15      uncertainty; is that right?

   16            A.    So what I would view this as -- I'm not

   17      necessarily disagreeing with your characterization.               What

   18      I'm saying is I have not formed an opinion in this case

   19      about causality.

   20                  So as I said earlier, I've come to the

   21      conclusion that these stocks were not traded in efficient

   22      markets during this two-week period.               There are stories

   23      about short squeezes and coordinated retail trading that

   24      are out there.

   25                  To the extent we're talking for the moment in

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    1      this paragraph about short squeezes or attempted short

    2      squeezes, what I point out is I am showing in this report

    3      some empirical evidence of constraints to short selling.

    4      But because I don't have an opinion about whether, or if

    5      so, how much of the price increase was due to short

    6      selling -- short squeezes, I do not say as a factual

    7      matter it caused it.     I'm saying it may have caused it.

    8                  That's the story there.        I don't have a

    9      conclusion about causality.

   10            Q.    So in paragraph 132 of your opening report, it

   11      says, "In sum, risks and constraints on an arbitrageurs'

   12      ability to sell stock short -- whether due to sharply

   13      rising stock prices, high costs, or limited supply for

   14      borrowing stocks, or risks due to the possibility of loan

   15      recall or changes in the borrow rate -- can present

   16      impediments to trading that inhibit the incorporation of

   17      new, value-relevant information."

   18                  Do you have any evidence that there was a

   19      limited supply for borrowings these nine affected stocks,

   20      more limited than any other company, I mean, that was

   21      traded on the market?

   22            A.    So the empirical evidence that I showed was

   23      certainly not -- in this report, was not directly that

   24      variable.     I believe I showed borrowing costs and short

   25      interest.     I believe other papers have touched on that.

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    1      I think the Franklin Allen paper does discuss that, and I

    2      can't recall it, but I would be -- I think it's quite

    3      possible that that paper does shed some light empirically

    4      on the amount of shares available to be shorted during

    5      that time.

    6                  But I didn't independently do that, but there's

    7      ample discussion about short-selling constraints and

    8      potential short squeezes during that time that are based

    9      on that.

   10            Q.    Do you have -- do you know of any specific

   11      instances in which an arbitrageur was prevented from

   12      taking either a long or short position in the nine

   13      affected stocks during the pre-class period or class

   14      period?

   15            A.    I do not have any sort of information about any

   16      individual arbitrageur.      All of my statements are in the

   17      context of what I see in the market itself.

   18            Q.    Do you have any opinion as to whether there

   19      actually was a short squeeze in any of the nine affected

   20      stocks during the pre-class period?

   21            A.    So I don't have an opinion on that.      I do cite

   22      the Franklin Allen paper, where he and his coauthors, I

   23      believe, I think was it seven of their stocks?         So maybe

   24      that's five.

   25            Q.    Five.

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    1            A.    Five of the stocks.

    2            Q.    Five of the nine, seven of the thirteen,

    3      probably.

    4            A.    Yes.   But I certainly cite that as an academic's

    5      opinion of that.      But again, of course, that's -- I'm

    6      providing that as -- as context for my opinion that these

    7      stocks did not trade in efficient markets during this

    8      two-week period.

    9            Q.    Do you know how one might go about performing a

   10      test to determine if there was a short squeeze in any of

   11      these nine stocks?

   12            A.    Well, the Franklin Allen paper is a method of

   13      doing that, but I haven't considered doing that research

   14      myself.

   15            Q.    So in paragraph 128, you define -- I don't know

   16      if it's a definition, but you say -- you say, "A 'short

   17      squeeze' is a situation where short sellers are forced to

   18      close out their positions due to the risk and constraints

   19      they face."

   20                  Is that the definition of a short -- of a short

   21      squeeze that you base your opinion on in this case?

   22            A.    Not necessarily.     That is one definition, and

   23      obviously I cite it from this D'Avolio academic article.

   24      There are other definitions of short squeezes that are

   25      similar, but not exactly the same.

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    1            Q.     Could you give me an example the other

    2      definitions?

    3            A.     I'd have to go through it, but I'm sure the

    4      Franklin Allen paper has a definition of a short squeeze

    5      in there.

    6            Q.     I see.

    7                   What are the risks and constraints a short

    8      seller might face that would constitute or contribute to

    9      a squeeze?

   10            A.     Sure.

   11                   So there are several.       This may be not all

   12      inclusive.      There may be more.       So one is borrowing

   13      costs.      So when you're shorting, you borrow stock until

   14      you unwind the position.        Not only are you paying

   15      interest while you borrow the stock, but that interest

   16      rate could go up.      And that's a risk.

   17                   Another very sort of simple technical risk is

   18      that the stock may be recalled and you have to quickly

   19      find another source for that stock to be able to short

   20      it.   You have to borrow somewhere else.

   21                   In normal circumstances, it may be very easy to

   22      find another stock, but when over 100 percent of the

   23      stock is being shorted, it may be very difficult.

   24                   Another example, and probably the primary risk

   25      at issue at this time here, is that the stock could keep

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    1      going up in value.     And while it goes up in value, you

    2      are going to -- the shorter is going to have to increase

    3      their collateral and come up with more money to meet

    4      those margin requirements.        And if they do not meet those

    5      margin requirements, they will be forced to sell those at

    6      a price that most likely is above what they sold them for

    7      initially and lose money on the position.

    8                  So it's the combination of borrowing costs, the

    9      scurrying to find new shares if they're recalled, and the

   10      risk that even though you might have initially believed

   11      that the stock prices were too high, they can become

   12      higher.     And even though in the fullness of time you

   13      might be fine, but they don't have unlimited capital, and

   14      they can be hit by margin calls or may simply say "I

   15      cannot bear this risk, anymore."

   16                  So it's capital constraints, limited horizons,

   17      and those sort of frictions that make short selling very

   18      risky in these kinds of markets.

   19            Q.    If there was an attempted short squeeze but not

   20      an actual short squeeze, would that have an impact on a

   21      stock's price?

   22            A.    So that's a very semantic-driven question.       It's

   23      obviously a fair question, but when an attempted short

   24      squeeze, we all can imagine what I mean by that and

   25      others mean by that.     It could be something that is

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    1      intentional, such as coordinated retail trading to push

    2      up the stock, put pressure on existing short sellers.

    3                  Now if it's attempted but not successful, yes.

    4      It depends.     But if it's attempted and it pushes the

    5      stock price up into inefficient market territory, that

    6      certainly in and of itself can make the market

    7      inefficient and cause the stock price to be higher than

    8      it should be otherwise.

    9                  If the attempt could be you and I try to attempt

   10      to engender a short squeeze on Apple stock, we might

   11      really try to do it hard, but I guarantee you we couldn't

   12      do it.

   13                  So what I mean by attempted short squeeze is to

   14      make sure I'm clear that the fact that some people claim

   15      that investors, retail investors on Reddit, were

   16      coordinating to do a short squeeze.                I'm sure you can

   17      find quotes of people trying to do that.                I'm not

   18      accepting that as evidence that they caused a short

   19      squeeze.

   20                  So I'm putting that in the category of attempted

   21      short squeezes to say that could also cause the stock

   22      price to go up, probably not as much as a successful

   23      short squeeze, though.

   24            Q.    Is there a minimum amount of short interest

   25      required for there to be a short squeeze?

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    1              A.     I'm not aware of a number for that.            I do not

    2      know one.

    3              Q.     What level of certainty is required for you to

    4      give an opinion that the market for a stock is

    5      inefficient?

    6              A.     I don't have a precise answer.            What I would say

    7      is I'm not -- it's not my general nature as an academic

    8      or an expert to argue that a stock is clearly not trading

    9      in an efficient market for a period of time.

   10                     So I need a lot -- I need some facts of a case

   11      to be very extreme, and I know it's a bit of a broken

   12      record, but just to be clear, this is not your normal

   13      case.

   14              Q.     You know, they're charging you by the word in

   15      this transcript.

   16              A.     That's okay.     This is not your normal case, and

   17      so I'm not exaggerating.             I demonstrate to -- in my -- in

   18      my report that this is really a one-in-a-million event.

   19      So this one week for these nine affected stocks, the

   20      portfolio of them increased by more than a random drawing

   21      of nine other stocks over a 25-year period.                  A million of

   22      them.        And not only did it outperform them; it

   23      outperformed them by a lot.

   24                     So, again, I feel like your question insinuates

   25      that I am being characterized as somebody who's imposing

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    1      these strict efficient market conditions.          I'm a firm

    2      believer in efficient markets as being the normal course

    3      of events, and I wouldn't rule that out so strongly as I

    4      do in this case unless I was really convinced.

    5                  And as I said, a one-in-a-million event when

    6      many of these stocks had no value-relevant information.

    7      Like I forget the ones, but it could have been Trivago,

    8      for example.     I forget.   But Trivago may not have had

    9      any -- I couldn't find any value-relevant information

   10      going on, yet this was an unusually good performing stock

   11      during this time.

   12                  So I'm not being unbelievably loose in my

   13      definition of deviation from an efficient market.          I am

   14      just saying that this is so extreme there is no way a

   15      finance professor could look at the facts of those nine

   16      stocks during this two-week period, just this two-week

   17      period, could come away and saying these stock price

   18      increases during the first one-week period are justified

   19      in any way by value-relevant information.

   20            Q.    Is it your opinion that the supposed or alleged

   21      short squeeze for these nine stocks was illegal

   22      manipulation?

   23            A.    I have no opinion about the legality or lack of

   24      legality of that sort of behavior.

   25            Q.    Are you offering any opinion in this case as to

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    1      what caused investors to sell their shares after the PCO

    2      restrictions were imposed by Robinhood?

    3              A.     I am not.

    4              Q.     Do you offer any opinion as to whether investors

    5      were aware of fraud or manipulation as a result of the

    6      restrictions Robinhood imposed or that others imposed on

    7      these nine affected stocks?

    8                     MR. RYAN:   Objection to form.

    9                     THE WITNESS:     So I do not, and I don't have an

   10      opinion that even of what would constitute fraud or

   11      manipulation in a particular case.

   12              Q.     BY MR. ROSEN:      Did the purchase restrictions and

   13      subsequent price decline in the nine affected stocks

   14      induce investors to sell shares to the nine affected

   15      stocks during the class period?

   16                     MR. RYAN:   Objection to form.

   17                     THE WITNESS:     So that's, again, what I would put

   18      in the category of causality.                I don't have an opinion on

   19      that.        Other than during that period, the class period, I

   20      have an opinion that those nine stocks did not trade in

   21      an efficient market.

   22              Q.     BY MR. ROSEN:      What information did investors

   23      have on beginning January 28th, 2021, about the

   24      restrictions; do you know?

   25              A.     So I don't know a lot about this.          I do

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    1      recall -- I believe I have a footnote from a deposition

    2      of one of, I guess, the named plaintiffs, and my

    3      recollection is that -- I believe it was a "he" --

    4      mentioned that his app showed a restriction.            And then he

    5      went to the website and found that there was a

    6      restriction.

    7                     That's my recollection, and we could go through

    8      that.        But that was -- I cited that as a footnote in my

    9      report.        So that would be an example of what one

   10      investor, I believe, in deposition testimony said.

   11              Q.     Now did you do an analysis of the Cammer and

   12      Krogman factors -- well, you know what the Cammer and

   13      Krogman factors are?

   14              A.     I do.    I don't have them memorized.    I am

   15      broadly familiar with them, and I know most of them, but

   16      I'm familiar with them.

   17              Q.     So you know there's five Cammer factors, the

   18      fifth being price moving in response to news?

   19              A.     Yes.    The fifth is the sort of empirical

   20      cause-and-effect relationship.

   21              Q.     So did you do an analysis of the first four

   22      factors?

   23              A.     I did not.    I certainly had commentary on them,

   24      particularly in my rebuttal report, but commentary to the

   25      extent of comments on Dr. Werner's treatment of them.

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    1            Q.     And did you do an analysis of the Krogman

    2      factors?

    3            A.     I -- if I did, it would only be to the extent

    4      that I commented on Dr. Werner's report.                  And I don't

    5      believe I mentioned them.         I think I mentioned in my

    6      rebuttal report Cammer 2, 3, and 5.                  That's my

    7      recollection.

    8            Q.     Did you do an event study in this matter?

    9            A.     I would say you could call it that.                 I don't

   10      want to fiddle over semantics.            But yes, I did -- in

   11      my -- I think they were appendices E and F.                  I did

   12      something very close to what you would call an event

   13      study.

   14            Q.     And why do you call it -- why do you say it's

   15      close to an event study, but not an event study?

   16            A.     Sure.

   17                   I have no problem with calling it an event

   18      study.      Generally speaking, what I did was technically a

   19      regression, a regression with two right-hand side

   20      variables, an industry and a market factor that we talked

   21      about earlier.       And then I looked at on all of the days

   22      for these at-issue stocks for this one-week period prior

   23      to the class period and then the class period itself, I

   24      looked if I could find any value-relevant information

   25      there.

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    1                    So that's what I did.          I didn't call it an event

    2      study.       If you want to call it an event study, that's

    3      fine.

    4              Q.    I don't want to call it an event study.                I want

    5      to call it a reverse event study.

    6              A.    Okay.

    7              Q.    Is that okay?

    8                    MR. RYAN:   Objection to form.

    9                    THE WITNESS:     If you ask me a question about

   10      reverse event study, I'm happy to answer questions about

   11      it.

   12              Q.    BY MR. ROSEN:      Well, you know, this is -- this

   13      is my issue with the way you did your event study.

   14                    So you, at the time you -- you first -- before

   15      you selected event study, you did your regression and

   16      found out what dates during the pre-class period and

   17      class period were statistically significant; right?

   18              A.    I'm not sure I agree with that statement.

   19              Q.    Well, what was the design?                Explain the design

   20      of your event study, then.

   21              A.    Sure.

   22                    So for -- unless you disagree, for purposes of

   23      my answers in this section, it's easier if I just talk

   24      about the one week prior to the class period.                     Because

   25      there's --

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    1              Q.   Yeah.

    2              A.   -- three different ones.            And that's obviously

    3      the period under study by Dr. Werner, also.                  Okay.

    4                   So this is -- actually, if you don't mind,

    5      there's a footnote in the appendix that I'm going to be

    6      referring to because that answers directly your question.

    7      Let me see if I can find this.

    8              A.   So if you're interested, on the PDF --

    9                   MR. ROSEN:     I can't hear you all the sudden.

   10      Something happened to your voice, to your mic.

   11                   THE WITNESS:     How about now?           Can you hear me

   12      okay?

   13                   MR. ROSEN:     It's still changed.           It's not as

   14      strong.

   15                   THE WITNESS:     If it keeps going, I can talk

   16      louder.      But I will --

   17              Q.   BY MR. ROSEN:      Now I hear better.          Now I hear

   18      better.

   19              A.   Okay.   I moved for a second.

   20                   But I'm on page 117 of my PDF.

   21              Q.   Okay.

   22              A.   And just it helps me recall.

   23                   What I would argue is my methodology of the

   24      event study is summarized in the footnotes on this page,

   25      largely.

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    1                  So there's two things that are done, and the

    2      first is a regression.      So you can feel free to ask me

    3      more about regression, but I'm just going to briefly

    4      describe that part of process.          And that's not in the

    5      footnotes here.     That's talked about elsewhere.         And I --

    6      I think footnote 2 mentions that.

    7                  So I run a regression over, my recollection is a

    8      120-day estimation period that goes up, I think it ends

    9      at just before January 2021.         So it doesn't go quite up

   10      against the class period and the week before.

   11                  And that regression is a statistical technique

   12      that is not unlike what you described the Roll paper as

   13      earlier.     So one regressor for all of these at-issue

   14      stocks is the market portfolio, and another regressor is

   15      an industry regressor, which you're welcome to ask me

   16      questions about the details of that, but I'll leave that

   17      out for the moment.

   18                  And so that regression is run.         And those -- a

   19      regression is run means it estimates those parameters,

   20      what are called a slow co-efficient on the market and the

   21      slow co-efficient on the industry.            And each day the

   22      difference between those values and what's predicted is

   23      called the residual for the company-specific return.

   24                  So the regression is run.         And then as an output

   25      of that, besides those parameter values, you can

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    1      determine for each stock and each of those five trading

    2      days whether or not the return was statistically

    3      significant, say it's a 5 percent level significance.                So

    4      that's one part of it.

    5                  I'm not calling it step one because -- you're

    6      welcome to ask me about the timing of this, but I'm just

    7      saying that's one aspect of this.

    8                  And the other aspect which is much more detailed

    9      in the footnotes at hand here is a search for potentially

   10      value-relevant information about these stocks on these

   11      days.

   12                  And so first part of that is where do we search

   13      for this value-relevant information.               And what I list

   14      there is press releases by the companies, SEC filings,

   15      equity analyst reports, and then I also include debt

   16      rating agencies' changes.       So those are the sources that

   17      I look at.

   18                  And then based on those sources, I determine

   19      whether or not on a stock on a given day, there is

   20      potentially value-relevant information.               And what I mean

   21      by value-relevant information is the stuff we talked

   22      about earlier, stuff that deals eventually with the cash

   23      flows of the firm.     Things to do with the firm's earnings

   24      and costs and customers and things like that.

   25                  But explicitly, as I've put in there in the

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    1      footnote, I do not include as value-relevant information

    2      information that deals with things such as short

    3      squeezes, because that has nothing to do with the firm

    4      itself, its earnings.     I don't deal with what's going on

    5      with coordinated retail investors.            I don't -- and

    6      lastly, I don't include information of commentary by

    7      analysts that, in my words, would say these stocks are

    8      inefficient.

    9                  If an analyst says this stock is trading in an

   10      inefficient market, I wouldn't call that value-relevant

   11      information.

   12            Q.    Why wouldn't it be?

   13            A.    Why would an analyst saying that the stock

   14      doesn't trade in an efficient market?

   15            Q.    He's saying the stock is overvalued or

   16      undervalued; right?     Isn't that value relevant?

   17            A.    So I'm defining value relevant as -- because I'm

   18      doing this on purpose because I'm connecting it to the

   19      earlier discussions you and I have had about what an

   20      efficient market is.

   21                  An efficient market is that the prices quickly

   22      and fully reflect new information that I say is value

   23      relevant.     So if a stock price quickly and fully reflects

   24      new information about earnings, that's fine.            That's what

   25      I'm looking for in an efficient market.

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    1                  If on the other hand, a stock price quickly and

    2      fully reflects information about sun spot activity, that

    3      is not value relevant.      I'm not saying that's a great or

    4      bad thing, but no finance professor would consider that

    5      value relevant.

    6                  And so as an extreme case, and as I point out in

    7      my rebuttal report, ironically, quite a bit of the

    8      information that Dr. Werner uses as news is commentary by

    9      an analyst, for example, or a market commentator that

   10      says, "This stock" -- is in my words -- "this stock is

   11      untethered from anything value relevant."          And the fact

   12      that it's mentioned, he uses that as evidence that it's

   13      trading inefficiency.

   14                  So under his approach, just briefly, if

   15      everybody on a day said GameStop is clearly trading in an

   16      inefficient market, and GameStop stock moved, he would

   17      use that as evidence that GameStop trades in an efficient

   18      market.     That's extremely ironic.

   19                  So I am looking at -- so that's my procedure.

   20      And then I look at this in its totality and try to come

   21      to my opinion, which was quite easy in this case because

   22      of the nature of the facts, that is there a reasonable

   23      basis for me to come to the conclusion or to be able to

   24      support what Dr. Werner is saying, that these unusual

   25      statistically significant stock price changes of these

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    1      at-issue stocks for these trading days is reasonably

    2      related to the potentially value-relevant information.

    3                     And my answer is no.       It's not even a close

    4      call.        So that's how I did this event study.

    5              Q.     Well, January 21 to January 27th is a very short

    6      time frame.        It's five trading days; right?

    7              A.     It is.

    8              Q.     Why didn't you look earlier than that?

    9              A.     So first of all, I am looking at this period

   10      right before the class period as the most relevant one.

   11      For example, this is what was going on if -- if, for

   12      example, as I do find that the stocks were not traded

   13      efficiently during the class period, it's useful to have

   14      some context about, well, did that just start on that day

   15      or was it a continuation?          And obviously, I find that

   16      it's a continuation.

   17                     I did not want to look at the class period as a

   18      snapshot unto itself.        I think it's really important --

   19      especially since I believe your expert believes that that

   20      January 27th price after Koss went up a thousand percent

   21      with some fair price, you need context.               Where did that

   22      price come from?        So that's why I do the one week just

   23      prior to it.

   24                     On the other hand, if I went back far, again,

   25      like Dr. Werner does and looks a year in advance at the

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    1      class period, that's not of interest to me.           I am not

    2      shocked if somebody -- if somebody would show me that one

    3      year before the class period, that some of these stocks

    4      traded in an efficient market.           I didn't look at that,

    5      but that wouldn't shock me, nor is it relevant to this

    6      case.

    7                   We're talking about a meme stock event where

    8      there was lots of discussion about these stocks and

    9      unusual short interest.

   10                   The Franklin Allen paper has figures that show

   11      when the discussions on social media started heating up,

   12      and it was roughly that one week period prior.           So that's

   13      another reason why I did that one week prior.

   14              Q.   So do you have any opinion as to whether the

   15      market for these nine affected stocks was efficient prior

   16      to that, to the January 21st?

   17              A.   I have not looked at it so I don't have an

   18      opinion.

   19              Q.   What hypothesis did you test in your event study

   20      for these nine affected stocks?

   21              A.   So the way I viewed it as, I would start with a

   22      null hypothesis that these stocks traded in an efficient

   23      market.      And what that means is that I need extreme

   24      evidence to demonstrate that it did not.

   25                   So and the extreme evidence speaks for itself,

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    1      and I'll be even more brief not to count up -- add up

    2      your word count, but the extreme evidence was the

    3      unprecedented increase in these individual stock prices

    4      during that one-week period combined with the lack of

    5      concomitantly important potential value-related

    6      information about those stocks during that period.

    7                  It was so clear to me that I could find no

    8      rational basis to be able to explain those extreme stock

    9      price movements, in that case, increases, based on the

   10      value -- potentially value-relevant information that I

   11      was able to obtain.

   12                  I couldn't even imagine trying to come up with a

   13      story based on what I found in terms of information

   14      during those days to explain why costs went up a thousand

   15      percent.

   16                  I -- I don't see Dr. Werner even attempting to

   17      do that.     It's impossible.

   18                  So you might explain it by other things.          Of

   19      course, everything has an explanation.             But my job was to

   20      see if I could potentially explain it by value-relevant

   21      information, and I could not.

   22                  And if you can't explain extreme stock movements

   23      for nine stocks over a week of trading by anything

   24      approximating value-relevant information, then you have

   25      to come to the conclusion you would reject a null

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    1      hypothesis of market efficiency.

    2            Q.    Have you ever performed an event study in the

    3      same manner that you performed this event study?

    4            A.    I think all of my event studies are the same.              I

    5      have a regression that's quite similar.              Usually has the

    6      market industry effect.        I calculate the -- whether or

    7      not the stock price was significant, and then on the day

    8      of the event study, I look at information on that day and

    9      try to discern whether there's any causal relationship

   10      between the two.

   11                  MR. RYAN:    I think we've been going about an

   12      hour and a half again, Larry.            Is now a good time for a

   13      break?

   14                  MR. ROSEN:    Yeah, that's fine.         Ten minutes.   So

   15      come back at 6 o'clock.        13 minutes, 6 o'clock.

   16                  MR. RYAN:    Sounds good.

   17                  MR. ROSEN:    3 o'clock your time.

   18                  MR. RYAN:    All right.       Thanks.

   19                  (Recess.)

   20                  THE REPORTER:     Back on the record.

   21            Q.    BY MR. ROSEN:     Okay.      Dr. Grenadier, before our

   22      break we were talking about your event study, and you

   23      said it was found in appendix E and F of your report.

   24                  Now are you aware that -- so in appendix E, you

   25      selected news and determined whether it was value

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    1      relevant to the nine stocks; is that right?

    2                  MR. RYAN:   Objection to form.

    3                  THE WITNESS:     So I characterize it as

    4      potentially value relevant.            So I'm trying to err on the

    5      side of being generous to including news that's

    6      potentially value relevant.

    7            Q.    BY MR. ROSEN:      Now you're aware that Professor

    8      Fischel went through the news on those days as well, and

    9      he selected potentially value-relevant news for the nine

   10      stocks.     And he selected -- and the two of you didn't

   11      disagree -- the two of you didn't agree as to what was

   12      potentially value-relevant news.

   13                  You're aware of that?

   14            A.    So I'm aware that the days that -- at least over

   15      the period that I covered, and he covered the same -- the

   16      days that I found potentially value-relevant news did not

   17      perfectly overlap with his.            But, of course, we used

   18      different data sources.         I used primarily analyst

   19      reports, and my understanding is that Mr. Fischel used

   20      public press.

   21                  So they're different sources.             So clearly there

   22      will not be perfect overlap between our two

   23      determinations.

   24            Q.    So you didn't look at the press, the media

   25      articles?

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    1            A.    So I did look at public press articles for

    2      context, and I mentioned that earlier in my report.            But

    3      in terms of the determination of value relevant --

    4      potentially value-relevant information, I did not use

    5      popular press articles.         I used what's listed in that

    6      footnote 1 that we talked about.

    7                  Press releases, specific SEC filings,

    8      importantly to my answer here, analyst reports, and then

    9      lastly, debt rating agency changes.

   10            Q.    Do you know for sure whether the only

   11      differences between your view of potential value-relevant

   12      news and Fischel's view of potential value-relevant news

   13      was press articles that were not press releases?

   14                  MR. RYAN:   Objection to form.

   15                  THE WITNESS:     So I'm not an expert on his

   16      methodology.     It's my understanding that he did not use

   17      analyst reports, while I used analyst reports, and he

   18      used presses -- or press -- not press releases, but news

   19      articles, and I did not use news articles in that

   20      section.

   21                  So we're using different data sources, and I

   22      chose mine for my reasons, and he chose his for his

   23      reasons.     And so because to some extent he is using

   24      public press release -- not -- public press articles,

   25      news articles, and I'm using analyst reports, they're not

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    1      going to be one and the same.                We have different sources

    2      of potential value-relevant information.

    3              Q.     BY MR. ROSEN:      Okay.      Let's take a look at your

    4      rebuttal report.         Let's go to Exhibit 1A, which is page

    5      58 of the PDF.

    6              A.     Okay, sorry.     It took me a while trying to

    7      remember what this was.            Now I certainly do remember it,

    8      yes.

    9              Q.     So you did some sort of news/no news analysis in

   10      Exhibit 1A, 1B, and 1C; is that right?

   11              A.     That is correct.

   12              Q.     And 1A, there's a news/no news test using just

   13      earnings and guidance releases; is that right?

   14              A.     Yes.   Let me briefly explain what I'm doing

   15      here.        So he has what I'll call a technique that he uses

   16      in his report that compares the -- I'll use as much as I

   17      can his phraseology for this.

   18                     He looks at -- to come up with high information

   19      flow days, what he does is use that public press reports

   20      and looks in the headings of the names or ticker symbols

   21      of each one of these nine at-issue stocks, and the

   22      days -- the 10 percent of days with the most mentions in

   23      the headings, he calls high-information flow days, and

   24      the remaining 90 percent he calls low-information flow

   25      days.        So that's what he does in his report.

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    1                  What I point out is in these three exhibits that

    2      you mentioned is that when I look at earlier reports that

    3      are in the public domain by Dr. Feinstein, he uses

    4      alternative definitions of news days, widely construed.

    5                  So in the one here is in some of his expert

    6      reports in the past, it was like five or six of them that

    7      I had seen.     He counts as a news day when there is

    8      basically an earnings announcement, but he also counts a

    9      guidance release.

   10                  And so what I did is did everything that he did

   11      with the exception -- try to replicate it, with the

   12      exception of rather than search through headings of news

   13      articles by mentions, doing the technique they did in the

   14      past by including as news days that occurred on earnings

   15      or guidance releases.

   16                  And so with that one change, I replicated his

   17      analysis.     And then if you look at the far right-hand

   18      column, what he would call significant would be any of

   19      those numbers that's below 5 percent.

   20                  And so in this case, we see one, two, three

   21      stocks that would be a statistically significant

   22      difference between high-information flow days and

   23      low-information flow days.

   24                  So I think he found seven.             Using a technique

   25      that he used in many of his previous reports, only three

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    1      of them would survive.

    2                  And so what I do in these tables one by one is I

    3      replicate, just like here, using his previous expert

    4      reports that I had found publicly available, and redid

    5      it.   And I think you find much less, like three, two, or

    6      only one stock survives this test.

    7                  And I'm just pointing out that this -- which

    8      I've already criticized, his defining of news by mentions

    9      in the popular press.        If we use it -- the definition of

   10      news he uses in previous matters, we get much weaker

   11      results.

   12                  MR. RYAN:   You said Feinstein, but I think you

   13      may have meant Werner.

   14                  THE WITNESS:     Sorry.       Hopefully, that's the

   15      first time I did that.         My apologies to Dr. Werner.

   16            Q.    BY MR. ROSEN:      Now Exhibit 1B, you do a similar

   17      test, but you use Form 8-K and 6-K?

   18            A.    Yes.

   19            Q.    And then Exhibit 1C, you do the similar test

   20      using just press releases?

   21            A.    Yes.   And as you see in this last one, only two

   22      of them, Blackberry and Bed Bath & Beyond.             I'm sorry.

   23      Just -- it looks like just Bed Bath & Beyond would

   24      survive this test.

   25                  So rather, when he uses this counting mentions

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    1      in press -- in the popular press, when he finds, I think,

    2      seven of them survive this test, when you do his older

    3      approach in other reports of press releases, only Bed

    4      Bath & Beyond survive that.

    5                  My point is:     It makes a huge difference for the

    6      particular statistical test that he's using that I'm not

    7      advocating, but his definition of what includes for high

    8      news and low news days matters a lot.

    9                  So there's something very unusual about his

   10      definition of news days and non news days in this case

   11      that seems to really matter.

   12            Q.    Okay.   And did it occur to you that maybe you

   13      should just combine all of the events that you selected

   14      for Exhibits 1A, 1B, and 1C into a single test and just

   15      call -- uses high information flow days all the earnings

   16      and guidance releases, and all the 8-Ks and 6-Ks and all

   17      the press releases?

   18            A.    I don't believe so.         Because the way I'm

   19      thinking about what I'm doing is I find in sight

   20      previously publicly available expert reports, Dr. Werner,

   21      and I'm trying to replicate that definition with the data

   22      at hand.     So it's a replication.

   23                  So to the extent I was trying to replicate some

   24      sort of agglomeration of those previous tests, that might

   25      have occurred to me.        But I'm trying to replicate what he

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    1      did in previous reports, which is exactly what I did in

    2      these three exhibits.

    3            Q.    What he did in previous reports isn't relevant

    4      to this case.     It's what he did in previous reports

    5      relevant to different cases with different facts and

    6      circumstances; right?

    7                  MR. RYAN:   Objection to form.

    8                  THE WITNESS:     So that -- that sounds like your

    9      opinion.     What I'm trying to say is, number one, as I

   10      make very clear, I do not agree at all with his

   11      definition of what news is and not news.              Because it

   12      ignores any conception of value relevance.

   13                  So if, for example, on a given day many reports

   14      come upon GameStop's unusual short interest and the stock

   15      price jumps, or just ignoring the stock price jumping, if

   16      they're commenting on unusual short interest, that's

   17      clearly not value relevant by my definition.              He doesn't

   18      seem to care either way what they're saying as long as

   19      they're saying something.

   20                  So he's not in his approach even what the news

   21      is.   He's literally only counting mentions.

   22                  So I don't know of a finance or economics

   23      textbook that says what should drive the value of a stock

   24      is a number of mentions it gets in the press, regardless

   25      of what they're saying.         Whether they're saying good

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    1      things, bad things, important things, or irrelevant

    2      things.

    3                  He includes mentions of such things as reporting

    4      on what happened to the stock price the day before.               Why

    5      in an efficient market does he even consider that

    6      important news to buttress the opinion of a market

    7      efficiency?     He's literally not looking at the

    8      information.     He's ignoring it.

    9                  He's just counting cites.         And counting cites,

   10      just mentions, is orthogonal to any measure of what is

   11      value relevant.     It takes some work to notice whether

   12      it's value relevant or not.         But just counting tickers or

   13      names in a headline is not looking at whether that

   14      information is value relevant or not.

   15                  So in that context, that's my critique.         What he

   16      does in previous reports is different, but at least it

   17      has some nexus between information flow and value

   18      relevance.

   19                  So, for example, earnings announcements.         We

   20      could all say that that's at least broadly related to

   21      something that's value relevant.           I do not know why he

   22      would not look at earnings announcements in this case.

   23                  If in other cases he looked at company

   24      revelations through SEC documents, why is that not

   25      relevant in this case?      What is it -- in your question,

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    1      what is special about this case that would make him not

    2      care about earnings announcements but now interested in

    3      just mentions in the popular press.

    4                  I don't see any reason, any sort of scientific

    5      reason for doing so.

    6            Q.    BY MR. ROSEN:      So you think that he was bound to

    7      do the same type of study in every single case he gets

    8      hired to work on?

    9                  MR. RYAN:   Objection to form.

   10                  THE WITNESS:     Of course not.           I do think it's

   11      fair to wonder when someone changes their technique for a

   12      particular case, why?        Is there -- is there a reason why

   13      you changed it?     And I -- I have not asked him that

   14      question and I don't know the answer to it.

   15                  What I'm pointing out is I don't know why he

   16      changed it.     It's not obvious to me what is it about this

   17      case, though in previous cases would make him focus on

   18      earnings announcements but not here.

   19                  And what I wanted to show is for that

   20      unexplained reason, what I do note is it matters.                 That

   21      is, if he had used his previous approach, his results

   22      would have been significantly weakened.

   23                  And I'm not insinuating whether -- what his

   24      reason was, whether it was data scooping or not.                 I'm not

   25      saying anything like that.           I'm saying he changed his

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    1      approach here from the publicly available ones that I've

    2      seen.        He doesn't say in his report why he does that, and

    3      it matters.        That's all I'm saying.

    4              Q.     BY MR. ROSEN:      Okay.      Now if you had done one

    5      single news/no news test for -- and combined all of the

    6      events in Exhibits 1A, 1B, 1C, and that unitary or

    7      combined test had shown the nine stocks or -- to be -- to

    8      have a statistically significant difference between

    9      high-information flow days and low-information flow days,

   10      would that change your opinion about this?

   11                     MR. RYAN:   Objection to the hypothetical.

   12                     THE WITNESS:     So my opinion wouldn't change

   13      because what I'm trying to show is if I look at his

   14      techniques in the previous reports, and I've identified

   15      three, and my opinion is if you do the techniques that he

   16      did in those -- those three techniques in previous

   17      reports, you get strongly different results.

   18                     That opinion doesn't change based on the

   19      hypothetical you gave me.             Because I'm unaware of a

   20      previous report that he did what you're insinuating.

   21                     I'm simply saying if he did the techniques that

   22      he did in previous reports to the data -- applied it to

   23      the data in this case, his results would be dramatically

   24      different.

   25              Q.     BY MR. ROSEN:      Let's go to your Opinion

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    1      Number 2.

    2            A.    What page?     This is the rebuttal report two?

    3            Q.    No.

    4            A.    Okay.

    5            Q.    Let's see.     It's page -- it begins on page 75 or

    6      78 of the PDF, your first report.

    7                  So in Opinion 2, paragraph 149, it says that:

    8      "If plaintiffs' allegations were true and Robinhood's

    9      restrictions impacted the prices of the at-issue stocks

   10      'artificially' throughout the proposed class period, that

   11      would be inconsistent with market efficiency."

   12            A.    I'm sorry, where --

   13            Q.    Why is that?

   14            A.    Where are you -- is this paragraph 149?

   15            Q.    Yeah.    It's -- I don't know.            It's the last

   16      sentence --

   17            A.    Yep.    Give me just one second just to make sure

   18      I just read that full sentence.

   19                  Okay.    Feel free to ask it again, please.

   20            Q.    So what is the basis for that sentence?

   21            A.    Sure.

   22                  What I'm trying to say is the notion of market

   23      efficiency and the notion that a restriction on demand of

   24      a subset of retail investors impacting the stock price

   25      are fundamentally inconsistent.              It's the combination.

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    1                  I want to be clear on this because in

    2      Dr. Werner's rebuttal report, he quotes this, like with

    3      quotation marks, but leaves out the part about "under the

    4      assumption of market efficiency."

    5                  He would say, for example, if you look at the --

    6      the -- he says -- let me find a good example.           If you

    7      look at the heading right above 149, he puts in quotes, I

    8      believe, something to the effect of one would not expect

    9      Robinhood's trading restrictions to have allegedly

   10      'artificially distorted' prices.           And he mentions that a

   11      lot in his report.     And it's -- I'm trying to explain why

   12      that's an important misquote.

   13                  I am saying if the stocks traded in an efficient

   14      market, then the allegation that these restrictions on

   15      demand of a substantive retail investor would impact the

   16      stock price are inconsistent.

   17                  I'm making a very simple point.        But to take off

   18      the part about if one assumes that they trade in an

   19      efficient market is a really strong mischaracterization.

   20                  And he goes on to say that Grenadier contends

   21      that -- that some sort of causality, that these

   22      restrictions could not have impacted stock price.           And I

   23      never said that.     I just wanted to point out here because

   24      this is literally -- your question here is about that

   25      sentence, and you fairly asked me to explain it.           I'm

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    1      just saying that I was surprised that he put quotation

    2      marks around a fraction of my sentence over and over

    3      again, which gives a very misleading inference for my

    4      statement.     And I was very surprised by that.

    5                  I don't know if I've ever seen that in a report,

    6      someone putting quotations around half of my sentence.

    7            Q.    Well, so when you say -- you preface that

    8      sentence with "assuming the stock is trading in an

    9      efficient market," but is it possible that the stock was

   10      trading in an efficient market and then the restrictions

   11      come into place, and as a result of the restrictions, the

   12      market is no longer efficient?

   13                  MR. RYAN:   Objection to form.

   14                  THE WITNESS:     If the market is not efficient --

   15      so I'm just simply saying that if the market is

   16      efficient, you would not find that a restriction on a

   17      subset of retail investors would impact the stock price.

   18      If you're saying if the market is not efficient, could

   19      other things happen, yes.

   20                  If markets are not efficient, lots of things can

   21      happen that are very difficult to explain.                 In

   22      particular, causality, and in particular, what a but-for

   23      stock price would be.

   24                  So that's -- that's exactly my point is I'm very

   25      limited here in this expression here.                 I'm just saying

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    1      that you can't say two things at the same time:                   One,

    2      that these stocks traded in an efficient market; and two,

    3      a restriction on a subset of retail investors would

    4      impact the stock price.           You could say other things, but

    5      not that.

    6                    It's a very sort of I think relatively

    7      non-controversial point that I would think almost

    8      everybody would agree with.              But if you cut off half of

    9      my sentence, then it becomes controversial.

   10              Q.    BY MR. ROSEN:      All right.        Don't -- you're

   11      getting so sensitive about that quotation.                 I -- you

   12      know, you can ask Mr. Ryan to grill Dr. Werner about

   13      that, plans for that if you like next week or the week

   14      after.       But I'm just trying to understand your opinion

   15      here.

   16                    And is it possible -- I mean, is it possible for

   17      someone to manipulate an efficient market?

   18                    MR. RYAN:   Objection to form.

   19                    THE WITNESS:     So "manipulate" sounds like a

   20      legal term.       So I don't know what that is.            I've

   21      certainly said in my report examples from the academic

   22      literature about friction.             I'm not -- I'm not

   23      attributing any motives on that, but there are frictions

   24      that can make arbitrageurs have an inability to create

   25      efficient markets.

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    1                  So if, for example, arbitrageurs of very large

    2      transaction costs and risks their capital, they are not

    3      able to perform their duty to enforce an efficient

    4      market.     So that can happen here.

    5                  But all I'm saying is that, one, that these

    6      markets are not efficient during -- before and during the

    7      class period, and two, if you want to assume that they

    8      are efficient during the class period, you can't have at

    9      the same time the belief that the restriction on demand

   10      of a subset of retail investors would impact the stock

   11      price.

   12            Q.    BY MR. ROSEN:      All right.        So let me ask you

   13      another hypothetical question.

   14                  So instead of Robinhood being the only firm that

   15      was PCO only for the entire day on the 28th, I think

   16      there was one firm that was PCO only for a couple of --

   17      for a few stocks later in the date, like at 2 p.m.

   18                  But let's say 90 percent of the stockbrokers in

   19      America went PCO only that day for these nine stocks.

   20      Could that reduction in ability of people to purchase the

   21      stock cause the prices -- cause the prices of the stocks

   22      to be distorted or -- and decline?

   23                  MR. RYAN:   Objection to form.

   24                  THE WITNESS:     So I don't know.         Obviously, as

   25      you change the facts, you get -- you have to think about

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    1      it.   That's why, of course, when I mentioned this here,

    2      there's two things that I think are important.

    3                  One is these restrictions.             As far as I know, do

    4      not impinge on institutional investors.                And two, the

    5      Robinhood segment of the market, for example, during the

    6      one week prior to the PCO restrictions was a relatively

    7      small part of the market.       I think I show their net buy

    8      behavior was like a couple percent of the market.

    9                  So I'm saying that I don't know the answer to

   10      your question because it depends on magnitude.                But I

   11      certainly took into account magnitude in my answer.                   As I

   12      said, one is that Robinhood seemed to be relatively --

   13      its investors seemed to be relatively small part of the

   14      buy side of the market just prior to the restriction, and

   15      two, institutional investors, as we talked about earlier,

   16      have other ways of trading than through Robinhood.

   17                  So in the facts of the case as I understand it,

   18      it would not be the case in an efficient market that the

   19      restrictions on Robinhood would impact the market.

   20                  If you ask me to add on other types of

   21      restrictions, I would have to look at it.

   22            Q.    BY MR. ROSEN:   Well, but then you're admitting

   23      it is a matter of degree.       At some point if you put

   24      enough restrictions on purchasing, it's going to affect

   25      the price; right?

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    1            A.    If you restrict, for example, all retail and all

    2      institutional investors, yes.          But not if you restrict a

    3      subset of just retail investors.           I don't know how to

    4      answer your question without some empirical --

    5            Q.    Where do you draw the line?            What -- what how

    6      much demand do you have to cut off before it will have an

    7      effect in an efficient market?          Do you have any idea?

    8            A.    There is no one number for that one.            What I was

    9      trying to say is:     It's important in your hypothetical to

   10      also tell me what the restriction is on demand for

   11      institutional investors.

   12                  So -- and also, what fraction of -- if there's

   13      any way -- so if there's any way of getting around those

   14      restrictions.

   15                  So one of the articles that's mentioned by

   16      Dr. Werner is this Jones paper, which says there was lots

   17      of activity trading of options.           You got at that earlier.

   18                  So it's a simple answer to your question about

   19      the facts matter.     But in this case, the facts, as I

   20      understand that, is that these restrictions were not

   21      placed at all on institutional investors.

   22                  AQR, for example, did not trade through

   23      Robinhood.     That would be my best guess.            And AQR could

   24      buy if it wanted to.     AQR could sell if it wanted to.

   25                  And also, Robinhood investors, by the data that

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    1      I've shown in my report, was a very small fraction of the

    2      market in terms of the buy side the week before for these

    3      traded stocks.

    4                   So that is just used to provide a grounding of

    5      my statement about a -- when I say a subset of retail

    6      investors, I put some data behind it and show that

    7      Robinhood was a subset of investors.                  It was relatively

    8      small subset of investors.

    9              Q.   Did it come up with percentage points of the net

   10      buy?

   11              A.   I'm sorry, I didn't quite hear you.

   12              Q.   You said Robinhood investors represented about

   13      2 percent of the net buy, something like that?

   14              A.   Yeah.    It's on the next page.

   15                   So the net buy, what I have is this 1 percent of

   16      the total volume across all the at-issue stocks.                  And

   17      during the class period, it was 2.2 percent of the net

   18      sell.

   19                   Oh, sorry.    Of the net sell, it was .6 of

   20      1 percent.      Those are very tiny numbers.

   21                   I'm not opining --

   22              Q.   Right.    But if you look at the change, the

   23      change is 1.6 percent; right?             So there's a 1.6 percent

   24      reduction in demand for the stocks; right?

   25                   MR. RYAN:    Objection to form.

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    1                    THE WITNESS:     So I don't see it that way.         Let's

    2      look at why I do the net buy just prior to it, which is

    3      the most important number.

    4                    So the net buy -- and you could look at the week

    5      before or the 27th itself.             This is the demand.    When I

    6      look at the net demand of Robinhood investors, that's

    7      relevant because under my understanding of this case, the

    8      issue is the restriction on demand for those investors,

    9      the Robinhood investors.

   10                    So just moments prior to the restrictions,

   11      roughly speaking, the net buy of Robinhood customers was

   12      about 1 percent.       And then the restrictions come into

   13      play.       And if they were totally successful, we're talking

   14      about stopping something that was accounting for, just

   15      before they came on, 1 percent of the net buy.

   16                    That's the most important number here.          Not how

   17      it changed after the restrictions, but what they were

   18      restricting.       And in principle, that strikes me as a very

   19      low number.

   20                    I'm not saying that's a good or bad thing.            I'm

   21      not opining on that at all.              I'm putting that in context.

   22      Because in the first question you asked me about this

   23      section, which is the relevant concept, is I mention a

   24      subset of retail investors.              And I didn't want to be

   25      accused of saying a subset of retail investors when it

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    1      maybe accounted for 99 percent of retail investors.          That

    2      would be -- that would be a mischaracterization.

    3                  And so when I put it in context, when I say a

    4      restriction on a subset -- a demand restriction on a

    5      subset of retail investors, I bring these numbers into

    6      context.     And I think the most relevant one is this

    7      1 percent of net buy of these stocks in the week prior to

    8      the restrictions.

    9            Q.    BY MR. ROSEN:   Do you have any support in the

   10      academic literature for what the effect would be if you

   11      reduced the demand for a stock by 1 percent, what effect

   12      it would have on its price?

   13            A.    So if that reduce in demand was driven by

   14      non-value-relevant information, as my understanding here,

   15      then the academic literature would probably be quite

   16      universal in saying it would have a de minimus effect on

   17      the price.

   18                  1 percent would not -- would be very easily

   19      overcome by an institutional investor.

   20            Q.    Do you know what caused these nine affected

   21      stock prices to decline dramatically on January 28th when

   22      the restrictions were in place?

   23            A.    Just to be sure, you said that these nine

   24      affected stocks?

   25            Q.    Yes.

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    1            A.     I don't have an opinion on causality.

    2                   MR. ROSEN:    I'll go to your third opinion.

    3                   MR. RYAN:    I'm sorry, I didn't catch that,

    4      Larry.

    5                   MR. ROSEN:    Let's go to your third opinion.

    6                   MR. RYAN:    Thank you.

    7            Q.     BY MR. ROSEN:     What do you believe is the

    8      plaintiffs' theory of liability here?

    9            A.     So what I'm addressing in paragraph 161 of the

   10      report is that in terms of my commenting on a methodology

   11      for calculating damages, that's consistent with the

   12      theory and applicable on a class-wide basis.

   13                   I am looking at this.         One is:    What is the

   14      but-for price -- prices of these securities?               And as I

   15      put here as the but-for price would be all else constant,

   16      but-for the restrictions of Robinhood.

   17                   That means it includes the price run-up prior to

   18      it and the restrictions on other firms such as E*TRADE

   19      would continue.

   20                   So they would normally try to find the damages

   21      by the difference in actual price versus the but-for

   22      price.      And I've explained what my assumption was for the

   23      but-for price.

   24            Q.     BY MR. ROSEN:     And why is the price rise prior

   25      to the class period relevant to the but-for price during

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    1      the class period?

    2            A.    Sure.

    3                  So when I did my report, it was to try to

    4      explain that the fact that I find it not efficient for

    5      the class period is obviously also consistent with how I

    6      found it prior to the class period.

    7                  It would be odd to find differences, and I don't

    8      find -- I find just as much justification for claiming

    9      it's a non-efficient market before the one week prior and

   10      the class period itself.

   11                  So to the extent chaud in many of my cases when

   12      I look at these and I try to opine on market efficiency,

   13      it's usually focused on the class period.

   14                  In this case for various reasons, Dr. Werner

   15      doesn't do any analysis during the class period.            I

   16      assume he is just assuming that it's not efficient and

   17      focuses on the prior class period.            I'm not 100 percent

   18      sure why, then.     But I show it's not efficient during the

   19      class period, and for extra measure, that it's not

   20      efficient for the one week prior to the class period.

   21                  In addition, to the extent it appears to me that

   22      Dr. Werner is saying that the price as of the end of the

   23      27th of January, 2021, was what I think he called a fair

   24      price, my analysis during the prior period puts that in

   25      context.

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    1                     What he seems to be deeming a fair price is that

    2      price that I've mentioned many times today, for example,

    3      Koss was a thousand percent run up without any sort of

    4      reasonable value-related news, he calls that the fair

    5      price.

    6                     He's saying that GameStop without any

    7      value-relevant news, in my opinion, during that previous

    8      period, went up something like 700 percent.              And he

    9      starts there and he says that's a fair price.

   10                     And so when you put that in context with this --

   11      this is right at the end of that extreme period that I've

   12      talked about many times today.              He looks at that extreme

   13      run-up and says that's the fair price.

   14                     Why?   I don't see how you can say that Koss

   15      going up a thousand percent leads to a fair price.                Why?

   16      You have to have at least some story as to why a stock

   17      had an unprecedented week's movement, and he doesn't, he

   18      just accepts it.

   19                     And so that's another reason why it's relevant

   20      here.        To the extent he wants to use the price at the end

   21      of the week prior to the class period as a fair price, I

   22      think it's worth pointing out that I've already shown

   23      that it's far from efficient, and that price is nowhere

   24      grounded in value-relevant information.

   25              Q.     Now let's assume we have an expert.        Plaintiffs

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    1      hire an expert.     That expert does a regression analysis

    2      and shows that the but-for price at each point during the

    3      class period is a certain price that's, let's say,

    4      10 percent higher than it was on January 27th, that if

    5      had there been no restrictions by Robinhood, that the

    6      prices would have stayed somewhat above -- somewhat above

    7      where they were on the 27th and stayed there during the

    8      class period based on a regression analysis.            And it's

    9      able to disaggregate the restrictions that other firms

   10      may have implemented during this class period.

   11                  Why couldn't that serve as a model for a but-for

   12      price in damages in this case?

   13                  MR. RYAN:    Objection to form.

   14                  THE WITNESS:     So the point of a good segment of

   15      this section of mine is a difficulty of doing such an

   16      analysis in a market that's not efficient.            So when you

   17      do a typical event study, information that's under the

   18      presumption of an efficient market.

   19                  If you can't do that inference, I'm not sure how

   20      that regression study would tell me anything.

   21                  Remember, in an inefficient market, as we said

   22      earlier, the best predictor of tomorrow's price is not

   23      the market price.       It's what's in the minds and hearts of

   24      all the individual investors, and I don't know what it

   25      is.

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    1                  But the kind of analysis that you're insinuating

    2      doesn't work in a market that's not efficient.            You're

    3      trying to look at the data and figure out how the market

    4      price would respond to that.         But doing that has some

    5      presumption of rationality on the prices that's tethered

    6      to value-relevant information.

    7                  You can do stuff like that sometimes if you

    8      believe in an efficient market.           But that's why in your

    9      very standard cases, like you called the stock drop

   10      cases, why people first want to show that the market

   11      during the class period is efficient so that they can do

   12      that sort of event study.       That's why they do that so

   13      it's meaningful.

   14                  But if you don't have market efficiency, those

   15      sort of standard techniques don't work.            You don't see in

   16      the literature about using event studies that this is a

   17      great technique, markets are not efficient.            The whole

   18      premise of an event study is to infer from the impact of

   19      value-relevant information on the market price.            But if

   20      markets are not efficient, there is no connection between

   21      those two.

   22                  So that's my main point of the first section of

   23      this section is that when you don't have an efficient

   24      market, the standard techniques like one person's net

   25      present value analysis or an event study, they just don't

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    1      work.

    2                   And I'm not saying it's impossible, but he

    3      doesn't offer me any idea -- Dr. Werner doesn't offer any

    4      idea of what is he even thinking of?                   What is the

    5      technique you use to get but-for values in an inefficient

    6      market?

    7              Q.   BY MR. ROSEN:      Well, let's assume the Court

    8      disagrees with you and determines the market in the

    9      pre-class -- the one-year period is efficient and that's

   10      enough to permit a regression analysis that's reliable

   11      enough for damages, and the regression analysis is

   12      able -- shows the -- the but-for price of the stocks, and

   13      it's 10 percent above the January 27th price during the

   14      class period.

   15                   Why isn't that sufficient to infer the but-for

   16      price to calculate damages?

   17                   MR. RYAN:     Objection.

   18                   THE WITNESS:     So for the same reason I said

   19      earlier, that in most typical cases I'm involved in, the

   20      expert trying to set up a methodology for damages first

   21      tries to prove that during the class period, the market

   22      was efficient.         So they can do that.

   23              Q.   BY MR. ROSEN:      But we just took that off the

   24      table; right?

   25              A.   No, no.

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    1            Q.    I just said assume the Judge accepts that it is

    2      efficient.

    3            A.    Unless I misheard you, your assumption

    4      hypothetical was that a Judge determined that the market

    5      was efficient in the pre-class period.             You did not say

    6      during the class period.       So that's what I'm speaking of

    7      now, and you can change your hypothetical, obviously.

    8      But let me just first respond.

    9                  If you're doing an analysis of an event study or

   10      regression for damages during the class period, you have

   11      to have the presumption of market efficiency to do that.

   12      It doesn't change.     That's, again, why I say in most

   13      cases that I'm involved in as an expert witness, the side

   14      asserting damages and explaining how they calculate them

   15      first tries to assert that during the class period when

   16      damages are calculated, that the market is efficient, and

   17      then they run things akin to your regression/event study.

   18                  But if you don't presume that the market is

   19      efficient during the period you're running that event

   20      study, you're violating the same attribute of causality

   21      between value-relevant information and prices.             They're

   22      unable to do that unless you have a market -- an

   23      efficient market.

   24            Q.    So in that scenario, it would be impossible to

   25      compute damages if someone manipulates the market to the

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    1      point where it's not efficient during the class period?

    2                  MR. RYAN:   Objection to form to the extent it

    3      calls for a legal conclusion.

    4                  THE WITNESS:     So I never said in my report that

    5      it's impossible to calculate damages in an inefficient

    6      market.

    7                  What I'm saying is:         It's a difficult problem.

    8      I haven't been tasked with doing that.                But to the extent

    9      that Dr. Werner is asserting that this is something he

   10      can do, I am saying it's a difficult task.                I am not as I

   11      sit here aware of a model that accomplishes that.

   12                  Because as you just mentioned, the standard

   13      models that you normally see done, such as net present

   14      value and event studies, will not work in a market that's

   15      not efficient.

   16                  So I'm not saying it's impossible.             Of course

   17      not.    I'm saying it's difficult, and I don't believe he

   18      has explained what model he's going to use to accomplish

   19      this difficult task.

   20             Q.   BY MR. ROSEN:      So you say in your report that

   21      plaintiffs would need to propose a methodology that could

   22      identify whether and how market participants, both

   23      Robinhood investors and others, would have traded, taking

   24      into account that the restrictions imposed by other

   25      brokers.

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    1                  I'm just -- are you suggesting that as part of

    2      their damages analysis, plaintiffs have to show how

    3      market participants would have acted, what trades they

    4      would have made, had there been no restrictions imposed?

    5            A.    I might have lost you a bit because I thought

    6      you mentioned Robinhood, and then I thought for a moment

    7      you said something about other like investment platforms.

    8      I just heard the later.

    9            Q.    Other brokers.

   10            A.    So I'm confused by the question.         I see that as

   11      two different things.        Can you try that again on me,

   12      please?

   13            Q.    All right.   So this is paragraph 162, page 82 of

   14      the PDF of your initial report.            At -- it says, "As

   15      discussed in Section 8 below, plaintiffs would need to

   16      propose a methodology that could identify whether and how

   17      market participants (both Robinhood investors and others)

   18      would have traded and the evolution of trading and prices

   19      in the counterfactual scenario, taking into account that

   20      the restrictions imposed by other brokers would have

   21      still existed."

   22                  And so what I'm trying to understand from that

   23      is:   Do you believe that in their damage analysis

   24      plaintiffs must show how market participants would have

   25      traded?     In other words, whether -- whether certain

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    1      people would have traded or not have traded or would have

    2      traded different days or bought more, sold less, sold

    3      more, bought less, in order to show damages?

    4                  MR. RYAN:   Objection to form.

    5                  THE WITNESS:     So what I'm trying to say here is

    6      in a world during this damage period, where there is

    7      not --

    8                  (Interruption in proceedings.)

    9                  THE WITNESS:     Sorry about that.        I don't know

   10      what that is.

   11                  So what I'm trying to say is that in a world

   12      without efficient markets during this class period, which

   13      my understanding is Dr. Werner is agreeing that it's not

   14      efficient -- he can answer that himself, but it sounds

   15      like he's also saying it's not efficient -- I'm

   16      mentioning in those sentences the difficulty of coming up

   17      with a but-for price.

   18                  So you can't do a simple statistical

   19      relationship that relies on market efficiency to do this.

   20      What you need to look at is in a but-for world, where

   21      people are making individual decisions without focusing

   22      on just the market price, you introduce lots of

   23      complexity.

   24                  So if we have a change in behavior that says

   25      without the restrictions of Robinhood, but with the

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    1      restrictions of other brokers such as E*TRADE, what would

    2      have been the prices in that inefficient market in that

    3      state of the world.

    4                  And I'm pointing out that that's difficult.

    5      Because if it's an inefficient market and you change the

    6      parameters, such as take out restrictions of investors,

    7      there is no simple way of say ah-ha, here's what the

    8      prices would have been.

    9                  Because when you take out those restrictions in

   10      an inefficient market, you have to look at individual

   11      calculus -- calculi.

   12                  So what would an individual investor have done

   13      in that but-for world where Robinhood got rid of the

   14      restrictions but E*TRADE did not.

   15                  So in an efficient market, that could be an

   16      story, but in an inefficient market, that's very

   17      difficult.     Because you'd have to get into that -- what

   18      was the model in that but-for world that that investor

   19      would have used.     We know the model is not reliant on the

   20      market price in an economic sense because it's not an

   21      efficient market.     They'd have to use some model to do

   22      that, and I don't know what it is.

   23                  I'm not saying it's impossible to come up with,

   24      but I haven't been told or even hinted at that what that

   25      model might be.

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    1            Q.    BY MR. ROSEN:     Dr. Grenadier, I think that the

    2      thing that I'm not understanding is I understand why you

    3      believe that in creating a damages model, plaintiffs

    4      should -- should attempt to show what the but-for price

    5      would -- what the price would have been; right?

    6                  But what I'm -- what I don't understand and what

    7      I'd like you to explain better is why you think a

    8      plaintiff has to explain on an individual level whether

    9      they would have traded the same amount had there been no

   10      alleged manipulation by Robinhood.

   11            A.    Yes.    And I'll repeat what I said, but hopefully

   12      in a way that conveys it to you better.

   13                  That what I'm speaking about here is how you

   14      would come up with but-for prices.              As you just

   15      acknowledged, you agree we have to come up with but-for

   16      prices or Dr. Werner would need to come up with but-for

   17      prices, but in a market that's not efficient.

   18                  And so usually in these matters, we come up with

   19      but-for prices in an efficient market, and we've seen the

   20      kind of techniques that are often used.

   21                  Now we're in different territory here.             So I

   22      haven't been involved in the case where a but-for price

   23      was to be calculated in an inefficient market.                You may

   24      have -- obviously you've been involved in many more cases

   25      than I have.       I'm just saying as an expert, I've never

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    1      seen an other expert contemplate but-for prices in a

    2      market where seemingly they admit it's not subject to

    3      market efficiency.

    4                  And so what would be a value in a market where

    5      you changed something such as a restriction on demand for

    6      Robinhood investors?     How would that -- what would that

    7      translate into an actual price in that world when markets

    8      are not efficient?

    9                  So that's the problem I'm defining.             And I think

   10      I am confident that that's the problem that he would need

   11      to solve if the market was deemed, as I say it is, not

   12      efficient during that period.

   13                  So he's tasked with calculating a market price

   14      in an inefficient market where you changed some variables

   15      such as a demand restriction on some investors but not

   16      other investors.

   17                  So where would you -- what model would you use?

   18      So if you think about yourself in a Ph.D. program, and

   19      they say find the value of a stock in a world without

   20      efficiency, and you change some assumption.

   21                  That's a fair question.        I don't know what -- I

   22      don't know what paper you would do.                It would be a very

   23      complicated analysis.

   24                  And all I'm saying is that since there's no

   25      simple way of doing that, where in an efficient market we

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    1      take prices as a fair reflection of the best guess of

    2      tomorrow's price.     When you throw that out, you're in the

    3      world of complicated models.

    4                  And it's possible that Dr. Werner could find

    5      some complicated models.       I mean, complicated doesn't

    6      mean bad.     It's possible he could find a model.            I

    7      just -- I don't know.     I don't teach a class where I have

    8      such a complicated model to do that.               But it's very

    9      difficult because when you have an inefficient market,

   10      it's driven by what motivates those investors to buy and

   11      sell when it's not an efficient market.               And that is

   12      very, very difficult to come up with.

   13            Q.    Why are the investor's motivations to buy and

   14      sell relevant to their damages in the seller class?

   15            A.    So the main reason is because not just the

   16      people involved here, but all of the investors, what

   17      would their -- what would determine the price in the

   18      market when it's not efficient.

   19                  So it's not just these investors; it's the

   20      agglomeration of all investors.           How would all investors

   21      interact in a market, determine a price, in a market

   22      that's not efficient.

   23                  So it's not just these investors.            It's all

   24      investors would -- would face a different world if you

   25      changed the but-for assumption.           But for these investors

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    1      in particular, you would have to ask questions, all

    2      right, if these investors can now trade in -- with

    3      Robinhood, well, what fraction of them were trading,

    4      anyway, by going to E*Trade or using, as you said, call

    5      options.

    6                  So that's the problem.         We have to ask these

    7      complicated questions.       When you change a but-for, such

    8      as you opened up the spigots and allow Robinhood

    9      investors to buy, to come up with the difference in some

   10      non-efficient market stock price, you have to ask the

   11      question:     How does that change things for them?           Were

   12      they still buying by going to E*TRADE?              Were they what

   13      you called, investors who were buying and hold?              All

   14      these questions are relevant to know the impact on the

   15      market price in an inefficient market.

   16            Q.    Did you make any effort to come up with a

   17      methodology for determining damages in this case?

   18            A.    No.   I wasn't asked to do that in this case.

   19            Q.    Did you make any efforts to disentangle

   20      potential non-fraud-related or allegedly fraud-related

   21      impact on Robinhood's stock price?

   22                  Sorry.   Let me rephrase that.          I'll withdraw

   23      that question.

   24                  Did you make any effort to disentangle the

   25      potential other factors that could have caused the

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    1      non-affected stock prices to decline during the class

    2      period?

    3            A.    As I said earlier, I determined that, in my

    4      opinion, the class period these nine stocks did not trade

    5      in efficient markets.        But I didn't look at causality of

    6      the prices.     I didn't look at what caused them to fall,

    7      just that whatever happened, it was not an efficient

    8      market.

    9            Q.    Now the Jones paper you mentioned earlier found

   10      that the PCO restrictions caused large and negative

   11      return effects on these nine affected stocks.

   12                  Do you have any reason to believe that the Jones

   13      paper is inaccurate or in that respect?

   14                  MR. RYAN:   Objection to the characterization of

   15      the Jones paper.

   16                  THE WITNESS:     So I don't agree with how you

   17      characterize it.

   18            Q.    BY MR. ROSEN:      Okay.      I'll ask you again.

   19                  Do you -- do you have any criticisms of the

   20      Jones paper?

   21            A.    So I have comments on it in the relevance to

   22      this case.     So first of all, the paper certainly doesn't

   23      ascribe causality.      It ascribes association.

   24                  Secondly, there's a footnote in Dr. Werner's

   25      rebuttal report which cites some statistics that I

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    1      believe you may have in mind in your question.                Those are

    2      statistics when you pool all of the stocks together, in a

    3      table or exhibit farther back in their paper, they show

    4      that -- unless I'm missing one of them, for none of the

    5      individual stocks were the PCO restrictions statistically

    6      significant.

    7                  So from a -- you know, obviously in academic

    8      papers, you don't just look at directionality and signs;

    9      you look at statistical significance.                And my

   10      recollection is not for a single one of the stocks at

   11      issue in this case were the PCO restrictions

   12      statistically significant.

   13                  And then another issue with that paper is that

   14      some of the discussions are very hard to understand just

   15      from a technical standpoint.         How they did their

   16      regressions and statistical analysis?                It's missing lots

   17      of information, and I don't know why that is.

   18                  I think you may not know that one of the main

   19      authors has passed away from that paper.                So that could

   20      explain some of this.     So it may have been work in

   21      progress.     I literally don't know, but it's a sad thing

   22      that a relatively young guy died.

   23                  There's also a discussion about the meme stock

   24      effect that they talk about, which is an alternative

   25      hypothesis to the PCO restrictions.                And the results

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    1      there literally make no sense.           They are talking that the

    2      stocks that they list in their paper, which are a big

    3      overlap with the nine at-issue stocks in this case,

    4      they're basically saying those stocks are rarely

    5      discussed on social media.

    6                   So what they said is that only two of the stocks

    7      that they're looking at, AMC and GameStop, are in the top

    8      20 most mentioned stocks in the internet like Reddit.

    9                   I have no idea what -- that makes no sense that

   10      Bed Bath & Beyond and Tootsie Roll and all other stocks

   11      here, Blackberry, they're not even mentioned in the top

   12      20 of most talked about stocks during this period.

   13                   So there's something wrong.            They did a mistake

   14      there.      And we all make mistakes.         It's a working paper.

   15      But I don't know how to rely on that paper at all.

   16                   So those are the sort of off the top of my head

   17      problems I have with that paper in terms of relevance to

   18      this case.      One, as I said, they were not causality.

   19      Two, it didn't show statistical significance for any of

   20      the stocks in terms of the PCO effects, and three, when

   21      they tried to investigate whether there was a meme stock

   22      effect, there seemed to be some technical mistake that

   23      made them miss all the important stuff going on in the

   24      real world.

   25            Q.     Are you offering any opinion as to whether a

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    1      presumption of reliance is available to --

    2            A.    You know, I didn't hear you.

    3            Q.    All right.     Are you offering any opinion as to

    4      whether the class is entitled to a presumption of

    5      reliance under the affiliated Ute case?

    6            A.    That sounds squarely in the realm of legal

    7      opinions, and obviously, I'm not going to render any

    8      legal opinion.

    9                  MR. RYAN:    It's so clearly a legal opinion, I

   10      didn't even object on that basis.

   11                  (Discussion off the record.)

   12                  MR. ROSEN:     Okay.     I don't have any other

   13      questions, Professor.        Thank you very much for your time.

   14                  THE WITNESS:     Thank you.

   15                  MR. RYAN:    I have no questions at this time.

   16      Thank you.

   17                  (Time noted: 4:10 p.m. Pacific Daylight Time.)

   18                                      --oOo--

   19

   20

   21

   22

   23

   24

   25

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                                                                  Page 209

    1      STATE OF CALIFORNIA       ) ss:

    2      COUNTY OF MARIN           )

    3

    4                  I, LESLIE ROCKWOOD ROSAS, RPR, CSR NO. 3452, do

    5      hereby certify:

    6                  That the foregoing deposition testimony was

    7      taken before me at the time and place therein set forth

    8      and at which time the witness was administered the oath;

    9                  That testimony of the witness and all objections

   10      made by counsel at the time of the examination were

   11      recorded stenographically by me, and were thereafter

   12      transcribed under my direction and supervision, and that

   13      the foregoing pages contain a full, true and accurate

   14      record of all proceedings and testimony to the best of my

   15      skill and ability.

   16                  I further certify that I am neither counsel for

   17      any party to said action, nor am I related to any party

   18      to said action, nor am I in any way interested in the

   19      outcome thereof.

   20                  IN WITNESS WHEREOF, I have subscribed my name

   21      this 20th day of April, 2023.

   22

   23

                          <%5411,Signature%>

   24                       LESLIE ROCKWOOD ROSAS, RPR, CSR NO. 3462

   25

                                   Veritext Legal Solutions
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Case 1:21-md-02989-CMA Document 585-5 Entered on FLSD Docket 06/30/2023 Page 211 of
                                      216


                                                                  Page 210

    1      ANTONY L. RYAN, ESQ.

    2      aryan@cravath.com

    3                                 April 20, 2023

    4      RE: IN RE JANUARY 2021 SHORT SQUEEZE TRADING LITIGATION

    5           4/19/2023, Steven Grenadier, Ph.D. (#5868343)

    6           The above-referenced transcript is available for

    7      review.

    8           Within the applicable timeframe, the witness should

    9      read the testimony to verify its accuracy. If there are

   10      any changes, the witness should note those with the

   11      reason, on the attached Errata Sheet.

   12           The witness should sign the Acknowledgment of

   13      Deponent and Errata and return to the deposing attorney.

   14      Copies should be sent to all counsel, and to Veritext at

   15      cs-ny@veritext.com.

   16

   17           Return completed errata within 30 days from

   18      receipt of testimony.

   19           If the witness fails to do so within the time

   20      allotted, the transcript may be used as if signed.

   21

   22                      Yours,

   23                      Veritext Legal Solutions

   24

   25

                                    Veritext Legal Solutions
        212-279-9424                  www.veritext.com                212-490-3430
Case 1:21-md-02989-CMA Document 585-5 Entered on FLSD Docket 06/30/2023 Page 212 of
                                      216


                                                                    Page 211

    1      IN RE JANUARY 2021 SHORT SQUEEZE TRADING LITIGATION
    2      4/19/2023 - Steven Grenadier, Ph.D. (#5868343)
    3                           E R R A T A         S H E E T
    4      PAGE_____ LINE_____ CHANGE________________________
    5      __________________________________________________
    6      REASON____________________________________________
    7      PAGE_____ LINE_____ CHANGE________________________
    8      __________________________________________________
    9      REASON____________________________________________
   10      PAGE_____ LINE_____ CHANGE________________________
   11      __________________________________________________
   12      REASON____________________________________________
   13      PAGE_____ LINE_____ CHANGE________________________
   14      __________________________________________________
   15      REASON____________________________________________
   16      PAGE_____ LINE_____ CHANGE________________________
   17      __________________________________________________
   18      REASON____________________________________________
   19      PAGE_____ LINE_____ CHANGE________________________
   20      __________________________________________________
   21      REASON____________________________________________
   22
   23      ________________________________                  _______________
   24      Steven Grenadier, Ph.D.                           Date
   25

                                  Veritext Legal Solutions
        212-279-9424                www.veritext.com                    212-490-3430
Case 1:21-md-02989-CMA Document 585-5 Entered on FLSD Docket 06/30/2023 Page 213 of
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                                                                  Page 212

    1      IN RE JANUARY 2021 SHORT SQUEEZE TRADING LITIGATION

    2      4/19/2023 - Steven Grenadier, Ph.D. (#5868343)

    3                      ACKNOWLEDGEMENT OF DEPONENT

    4            I, Steven Grenadier, do hereby declare that I

    5      have read the foregoing transcript, I have made any

    6      corrections, additions, or changes I deemed necessary as

    7      noted above to be appended hereto, and that the same is

    8      a true, correct and complete transcript of the testimony

    9      given by me.

   10

   11      ______________________________           ________________

   12      Steven Grenadier, Ph.D.                  Date

   13      *If notary is required

   14                          SUBSCRIBED AND SWORN TO BEFORE ME THIS

   15                          ______ DAY OF ________________, 20___.

   16

   17

   18                          __________________________

   19                          NOTARY PUBLIC

   20

   21

   22

   23

   24

   25

                                  Veritext Legal Solutions
        212-279-9424                www.veritext.com                   212-490-3430
Case 1:21-md-02989-CMA Document 585-5 Entered on FLSD Docket 06/30/2023 Page 214 of
                                      216
                             ***ERRATA SHEET***

       NAME OF CASE: In re January 2021 Short Squeeze Trading Litigation
       No. 21-MDL-2989 (S.D. Fla.)
       DATE OF DEPOSITION: 04/19/2023
       NAME OF DEPONENT: Steven Grenadier


       I have read the transcript of my deposition taken on April 19, 2023. The contents thereof
       are an accurate transcription of the deposition, subject to the following corrections or
       changes:

      Page Line(s)             Original                     Correction                Reason
                                                                                   Transcription
       9       10              valuated                   value-weighted
                                                                                      Error
                          valuated indices are      value-weighted indices are     Transcription
       10       5
                         generally quite easy o       generally quite easy to         Error
       49      22      is the stock price’s value        is the stock price          Misspoke
       49      25           is a stock value         is the current stock price      Misspoke
                                                                                   Transcription
       51      20                MPV                           NPV
                                                                                      Error
                                                                                   Transcription
       52       2                MPV                           NPV
                                                                                      Error
                                                                                   Transcription
       52      17            in inefficient              in an inefficient
                                                                                      Error
                        in efficient market and
                                                     in efficient markets and
                         some investors don’t                                      Transcription
       56      2-3                                     some investors don’t
                          believe in efficient                                        Error
                                                    believe in efficient markets
                                 market
                                                                                   Transcription
       57     22-23      be an efficient market     occur in an efficient market
                                                                                      Error
                                                                                   Transcription
       59       9                costs                         Koss
                                                                                      Error
                                                                                   Transcription
       61      24                costs                         Koss
                                                                                      Error
                           in, I-N, an efficient                                   Transcription
       62      10                                   in, I-N, inefficient market
                                  market                                              Error
                        it’s going to go back to                                   Transcription
       67      16                                   it’s going to go back up ten
                                    ten                                               Error
                         that only change those
       72      17                                     that only change under         Misspoke
                               beliefs under
                                                                                   Transcription
       74      14           could proper up               could prop up
                                                                                      Error
                                                                                   Transcription
       80       5         didn’t say markets         didn’t say which markets
                                                                                      Error
                                                                                   Transcription
       80      25                close                        closer
                                                                                      Error
Case 1:21-md-02989-CMA Document 585-5 Entered on FLSD Docket 06/30/2023 Page 215 of
                                      216
                             ***ERRATA SHEET***

       NAME OF CASE: In re January 2021 Short Squeeze Trading Litigation
       No. 21-MDL-2989 (S.D. Fla.)
       DATE OF DEPOSITION: 04/19/2023
       NAME OF DEPONENT: Steven Grenadier


      Page Line(s)            Original                     Correction                Reason
                                                                                   Transcription
       89      7             arbitraged                      arbitrage
                                                                                      Error
                                                                                   Transcription
      106     10           value-relative                 value-relevant
                                                                                      Error
                                                                                   Transcription
      113     19          mean a version                 mean reversion
                                                                                      Error
                                                                                   Transcription
      114     15               version                      reversion
                                                                                      Error
                                                                                   Transcription
      118     12            an important                    important
                                                                                      Error
                                                                                   Transcription
      118     25        to a Court – curtail                 to curtail
                                                                                      Error
                                                                                   Transcription
      122     25              rationale                      rational
                                                                                      Error
                       Why would an analyst         Why wouldn’t an analyst
                       saying that the stock          saying that the stock        Transcription
      164    13-14
                        doesn’t trade in an        doesn’t trade in an efficient      Error
                         efficient market?          market be value relevant?
                                                                                   Transcription
      166     21        with some fair price           was some fair price
                                                                                      Error
                                                                                   Transcription
      168     14         why costs went up             why Koss went up
                                                                                      Error
                                                                                   Transcription
      172     19           use that public                  use public
                                                                                      Error
      173      3              Feinstein                      Werner                 Misspoke
                                                                                   Transcription
      174      9            use it -- the                     use the
                                                                                      Error
                                                                                   Transcription
      175      7           what includes                 what to include
                                                                                      Error
                     I find in sight previously    I find previously publicly
                                                                                   Transcription
      175    19-20   publicly available expert     available expert reports by
                                                                                      Error
                        reports, Dr. Werner                Dr. Werner
                                                   even considering what the       Transcription
      176     20        even what the news
                                                              news                    Error
                                                                                   Transcription
      184      1                 of                            have
                                                                                      Error
                                                                                   Transcription
      185      3      these restrictions. As far     these restrictions, as far
                                                                                      Error
Case 1:21-md-02989-CMA Document 585-5 Entered on FLSD Docket 06/30/2023 Page 216 of
                                      216
                             ***ERRATA SHEET***

       NAME OF CASE: In re January 2021 Short Squeeze Trading Litigation
       No. 21-MDL-2989 (S.D. Fla.)
       DATE OF DEPOSITION: 04/19/2023
       NAME OF DEPONENT: Steven Grenadier


      Page Line(s)             Original                     Correction                 Reason
                                                                                    Transcription
      189      13                reduce                      reduction
                                                                                       Error
                         to the extent chaud in                                     Transcription
      191      11                                    to the extent that in many
                                 many                                                  Error
                                                                                    Transcription
      200     15-16      that could be an story        that could be a story
                                                                                       Error

       I declare under penalty of perjury under the laws of the United States of America that the
       foregoing is true and correct.

                                                                  _________________________
                                                                        Steven Grenadier


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