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Bank Liquidity Provision Across the Firm Size Distribution — NBER Working Paper 27945 (October 2020)

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NBER Working Paper 27945, Bank Liquidity Provision Across the Firm Size Distribution, by Gabriel Chodorow-Reich, Olivier Darmouni, Stephan Luck and Matthew C. Plosser, dated October 2020, Revised December 2020. The abstract says small and medium enterprises (SMEs) obtain shorter maturity credit lines than large firms, post more collateral, have higher utilization rates and pay higher spreads. It states that during the COVID recession SMEs do not draw down credit lines in contrast to large firms despite SME demand, but that PPP loans helped alleviate the shortfall. The paper uses supervisory data covering 60% of all corporate loans.

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                               NBER WORKING PAPER SERIES




        BANK LIQUIDITY PROVISION ACROSS THE FIRM SIZE DISTRIBUTION

                                     Gabriel Chodorow-Reich
                                        Olivier Darmouni
                                          Stephan Luck
                                       Matthew C. Plosser

                                       Working Paper 27945
                               http://www.nber.org/papers/w27945


                     NATIONAL BUREAU OF ECONOMIC RESEARCH
                              1050 Massachusetts Avenue
                                 Cambridge, MA 02138
                          October 2020, Revised December 2020




We thank Tania Babina, Tobias Berg, Xavier Giroud, Ivan Ivanov, Martina Jasova, Trish Mosser,
Stijn Van Nieuwerburgh, Pascal Paul, Giorgia Piacentino, Kerry Siani, and seminar
participants˛at the UC Berkeley Haas School of Business, Columbia Business School, the FDIC,
John Hopkins University, the Temple Fox School of Business, and the University of Rochester
Simon School of Business for useful comments and Sungmin An, Harry Cooperman, and Alena
Kang-Landsberg for excellent research assistance. The opinions expressed in this paper do not
necessarily reflect those of the Federal Reserve Bank of New York, the Federal Reserve System,
or the National Bureau of Economic Research.

NBER working papers are circulated for discussion and comment purposes. They have not been peer-
reviewed or been subject to the review by the NBER Board of Directors that accompanies official
NBER publications.

© 2020 by Gabriel Chodorow-Reich, Olivier Darmouni, Stephan Luck, and Matthew C. Plosser. All
rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit
permission provided that full credit, including © notice, is given to the source.
Bank Liquidity Provision Across the Firm Size Distribution
Gabriel Chodorow-Reich, Olivier Darmouni, Stephan Luck, and Matthew C. Plosser
NBER Working Paper No. 27945
October 2020, Revised December 2020
JEL No. E51,G21,G32

                                         ABSTRACT

We use supervisory loan-level data to document that small firms (SMEs) obtain shorter maturity
credit lines than large firms; have less active maturity management; post more collateral; have
higher utilization rates; and pay higher spreads. We rationalize these facts as the equilibrium
outcome of a trade-off between lender commitment and discretion. Using the COVID recession,
we test the prediction that SMEs are subject to greater lender discretion by examining credit line
utilization. We show that SMEs do not drawdown in contrast to large firms despite SME demand,
but that PPP loans helped alleviate the shortfall.


Gabriel Chodorow-Reich                          Stephan Luck
Department of Economics                         Federal Reserve Bank of New York
Harvard University                              33 Liberty St
1805 Littauer Center                            New York, NY 10045
Cambridge, MA 02138                             stephan.luck@ny.frb.org
and NBER
chodorowreich@fas.harvard.edu                   Matthew C. Plosser
                                                Financial Intermediation Function
Olivier Darmouni                                Federal Reserve Bank of New York
Columbia Business School                        33 Liberty Street
Uris 816                                        New York, NY 10045
New York, NY 10027                              matthew.plosser@ny.frb.org
omd2109@columbia.edu
1       Introduction

The ability of borrowers to access funds in bad times is crucial to avoiding financial distress, with banks

playing a key role as liquidity providers (Kashyap et al., 2002; Gatev and Strahan, 2006). However, there

are widespread concerns that small firms might not be able to access this liquidity, unlike firms at the

top of the size distribution.1 These concerns reflect the high reliance of small firms on bank funding and

that they are riskier and more opaque than larger firms (Petersen and Rajan, 1994; Berger and Udell,

1995; Gertler and Gilchrist, 1994), so that financing may not materialize when it is most needed. And

yet, empirical evidence of differential access to bank liquidity by small and medium enterprises (SMEs)

remains scarce, as most analyses of loan terms in the United States rely on syndicated loan data that

only includes large loans and by extension large borrowers.

    In this paper we document sharp differences in the provision of bank liquidity to small and large

firms. Using supervisory data covering 60% of all corporate loans, including to 50,000 SMEs, we present

five facts about differences in loan terms that reflect lender commitment to large firms and discretion to

small firms. Relative to large firms, small firms (i) obtain credit lines with much shorter maturity, (ii)

have less active maturity management and as a result frequently have expiring credit, (iii) post more

collateral, (iv) have higher utilization rates, and (v) pay higher spreads even conditional on other firm

characteristics.

    We then show that differences in loan terms impacted firms’ access to liquidity at the outset of the

COVID-19 recession. The increase in bank credit in 2020Q1 and 2020Q2 came almost entirely from

drawdowns by large firms on pre-committed lines of credit, whereas small firms had no net drawdown

of credit lines. To minimize differences in demand for credit in explaining these results, we further

show that large firms exhibited much higher sensitivity of drawdown rates to industry-level measures

of exposure to the COVID recession. Instead, differences in drawdowns appear to reflect deteriorating

firm fundamentals and banks’ ability to exercise discretion in lending to small firms. Finally, we analyze

the role of the government-sponsored Paycheck Protection Program (PPP) in alleviating the liquidity

shortfall to small firms. By merging the PPP data with our supervisory data, we find that PPP recipients

on net reduced their non-PPP bank borrowing in 2020Q2, suggesting that the program fully overcame

any shortfall but at a cost to the government.
1 See e.g.      "Much of America Is Shut Out of The Greatest Borrowing Binge Ever",           Au-
 gust      13th    2020,   Bloomberg,    https://www.bloomberg.com/news/articles/2020-08-13/
 a-2-trillion-credit-boom-leaves-america-s-smaller-firms-behind (accessed September 8, 2020).




                                                    1
   The paper unfolds as follows. Section 2 describes the supervisory data. The data come from the

Federal Reserve Y-14 and contain information on all loans of more than $1 million made by banks with

more than $100 billion in total consolidated assets. For each loan, the data contain information on

loan terms (loan type, commitment, maturity, origination date, interest rate, collateral type, etc.) and

borrower characteristics (industry, assets, sales, risk rating, etc.). We benchmark the Y-14 sample against

the universe of corporate loans as well as loans to public firms (Compustat) and syndicated loans.

   Section 3 presents an illustrative framework of equilibrium loan term determination to set the stage

for the empirical analysis. We emphasize an incomplete contracting view of credit lines in the cross-

section of firms. The framework extends the Holmström and Tirole (1998) model of liquidity provision

to firms facing cash-flow shocks to allow for uncertainty over the borrower’s final pledgable value.

Loan terms give lenders either commitment or discretion in granting funds. With lender commitment, the

borrower can always draw on credit limits determined ex-ante. With discretion the lender can deny

requests for funds ex-post even though liquidity is available on paper. Both types of contracts reduce

credit constraints: commitment through an insurance channel by cross-subsidizing high shocks with low

shocks and discretion by giving the lender an option to monitor and make funding contingent on the

borrower’s repayment prospects. In equilibrium, firms choose contracts that minimize the probability of

liquidity-driven default. Firms that choose discretion have pledgeable value that is (i) small relative

to expected cash-flow shocks and (ii) more uncertain ex-ante. Intuitively, insurance is less valuable

when large cash-flow shocks are more likely, and discretion more valuable when the option value

of monitoring is larger. We provide evidence of audit frequency and firm volatility that links these

characteristics to small firms.

   Section 4 presents the five facts about bank loan terms across the firm size distribution. Fact 1

documents sharp differences in maturity at origination for credit lines, but not for other loan types.

Among firms with less than $50 million in assets, three-quarters of credit lines have maturity of 1 year

or less at origination and more than one-quarter of loans to these firms are demand loans immediately

callable by the lender. These loans grant banks discretion — any time the borrower requests funds, the

lender can monitor and reject. The share of credit lines with less than 1 year maturity at origination

declines to below 10% for firms with more than $1 billion of assets, for which the median and modal

credit line is a 5 year facility. The maturity difference disappears for term loans, for which the vast

majority of credit to both small and large firms originates with 5 or more years of maturity. In our

framework, term loans offer less scope for discretion since the bank disburses the funds up front.


                                                    2
   Fact 2 shows that all firms actively manage the maturity of long-term loans but not of short-term

loans, leaving a sizable share of credit lines to small firms requiring rollover. Across the firm size

distribution, the median renewal of a loan with more than 4 years of maturity at origination occurs

with more than three years of maturity remaining. On the other hand, loans with 1 year of maturity

at origination simply get rolled over as they become due. Because the smallest firms in our data

overwhelmingly have short-term credit lines (fact 1), this pattern yields a sizable share of small firms in

any month with callable or expiring credit lines. For example, more than 80% of credit lines outstanding

to the smallest firms at the end of 2019 were immediately callable or matured sometime in 2020. In

contrast, only 15% of credit lines to the largest firms had less than 1 year of maturity remaining, and the

median loan had around 3 years of maturity remaining. The frequent expiration of credit lines to small

firms gives lenders the threat point to not rollover in negotiating with borrowers who want to draw

funds.

   Fact 3 establishes differences in collateral requirements across the firm size distribution. Less than

5% of credit lines to small firms are unsecured. The modal credit line to a firm in this size class is

secured by accounts receivable and inventory (AR&I). AR&I is a particularly fragile type of collateral

since lenders can choose to monitor and revalue it at any time and deny requests for funds that exceed

the collateral value. The share unsecured rises with firm size, up to 70% of credit lines to firms with

more than $5 billion in assets. Large differences in the share unsecured also emerge for term loans, but

for secured loans the collateral type differs from that backing credit lines. For the smallest firms, half of

term loans have real estate backing, while for larger firms, fixed assets become more prevalent.

   Fact 4 shows that in normal times small firms have higher and more variable utilization rates on

their credit lines. At the end of 2019, nearly one-fifth of small SMEs had a credit line utilization rate

above 90% and one-third had a utilization rate above 70%. Conversely, only 7% of the largest firms had

a utilization rate above 70%, and three-quarters of these firms had utilization rates below 10%. The high

and variable utilization by small firms suggest that in normal times contracts with discretion mostly

allow small firms to access liquidity when needed.

   Fact 5 covers loan pricing. Despite the shorter maturity on credit lines, less active liquidity manage-

ment, and higher collateral requirements, small firms nonetheless pay higher spreads than large firms.

Differences in industry, lender, firm financials, and the lender’s internal rating of the firm explain about

one-third of the size gradient. This evidence suggests that small firms have different characteristics,

including "soft" information such as quality of financial reporting, that lead them to choose contracts


                                                     3
with discretion.

   Section 5 turns to the provisioning of credit to small and large firms following the COVID-19

cash-flow shock. Total outstanding C&I loans increased sharply in the first quarter of 2020. We first

show that this overall increase almost entirely comprises of higher drawdowns of pre-existing credit

lines by large firms, a point conjectured in Li et al. (2020) and documented in independent work by

Greenwald et al. (2020). The higher drawdown rate at larger firms survives controls for lender and

borrower industry, state, leverage, profitability, rating, cash holdings, and bond market access in a

difference-in-difference framework that interacts firm size category and each of these controls with an

indicator for post-2020Q1. Controlling for loan maturity and collateral type interacted with the post

indicator reduces the size gradient, consistent with more stringent terms to small firms restricting access

to credit lines.

   The main threat to interpreting the size gradient in drawdowns as causal evidence of loan terms

mattering is that large firms may have faced larger cash-flow shocks in the COVID recession. The

controls for industry, state, and bond market access already help to alleviate this concern by removing

the possibility of large firms operating in more severely impacted industries or states or having used

their credit lines solely because of the bond market turmoil in March 2020. To further isolate credit

constraints from demand factors, we next explore how the sensitivity of drawdowns to cash-flow shocks

varies across the size distribution.

   Our main measure of cash-flow shocks is the percent change in national employment in the firm’s

three digit industry between 2019Q2 and 2020Q2 less the trailing five year change. The abnormal change

in industry employment provides an imperfect proxy for the demand shock to a firm, but the measure

lines up fairly well with health-related risks and can be calculated for all firms. For example, the five

industries with the largest declines in employment all rely heavily on in-person social interactions:

scenic and sightseeing transportation, motion picture and sound recording studios, performing arts and

spectator sports, clothing stores, and gambling. We report robustness to using the abnormal growth rate

of national sales in the firm’s three digit industry for the 13 industries included in the Census Retail

Sales.

   Within firms with more than $1 billion of assets, higher industry exposure strongly predicts higher

drawdown rates. The effect of industry exposure on drawdown emerges only in 2020 and indicates that a

one standard deviation increase in exposure increases the drawdown rate by roughly 9 percentage points.

In contrast, among firms with less than $50 million in assets there is a precisely estimated near zero


                                                    4
effect of industry exposure on drawdown rate. We further confirm this pattern in instrumental variable

regressions using the physical proximity requirements in an industry as an excluded instrument for

the decline in employment. Controlling for maturity and collateral requirements reduces the exposure

sensitivity size gradient, providing additional circumstantial evidence that loan terms granting lenders

discretion constricted the ability of small firms to borrow.

   Finally, we provide evidence that government-provided liquidity can overcome the credit constraints

that prevented SMEs from drawing on their credit lines. We match the Y-14 data to a list of participants

in the Paycheck Protection Program (PPP) set up under the CARES Act. The PPP provided loans of up

to $10 million to to firms with less than 500 employees or satisfying certain other eligibility criteria and

further made these loans forgivable if the borrower kept qualifying expenses above specified thresholds.

The SMEs in our data that received PPP funds reduced their non-PPP bank borrowing in 2020Q2 by an

amount equal to 90 percent of their PPP funds.


Related literature. The first contribution of our paper is to document how loan terms vary across the

firm size distribution using a newly available supervisory data set with extensive coverage of both SMEs

and large firms. In the United States, most of the evidence on loan terms comes from the syndicated

loan market, which caters overwhelmingly to large borrowers and loans. Strahan (1999) provides an

early and comprehensive analysis of how loan terms vary with size in the syndicated market. He finds

that smaller firms in this market have loans with shorter maturity, post more collateral, and pay higher

spreads. We show that these patterns become even more pronounced when extending to a sample that

includes much smaller firms than appear in the syndicated market. In recent work, Lian and Ma (2020)

argue for the primacy of cash-flow over asset-based lending for large firms. We confirm their results

but show that for small firms, asset-based lending remains dominant. Berg et al. (2020) provide a more

general overview of trends in corporate borrowing of public firms.

   Loan-level evidence from non-syndicated loans has mostly relied on special data sets that cover a

single segment of the market. Campello et al. (2011) collect survey data on credit line access during the

Great Recession for a sample that includes non-syndicated loans but few if any small SMEs. Petersen

and Rajan (1994) and Berger and Udell (1995) study a survey of businesses with less than 500 employees

with a focus on the effect of relationship strength on the quantity and price of credit. Agarwal et al.

(2004) study a proprietary data set from a large financial institution of loan commitments made to

712 privately-held firms. The data sets in these papers mostly contain micro-enterprises that receive


                                                     5
loans smaller than the $1 million cutoff for inclusion in the Y14 data. Technologies for lending to

microenterprises and small SMEs differ, with the former typically using a score-based algorithm (Berger

and Udell, 2006), making it more difficult to compare to large firms. In other countries, credit registries

facilitate the analysis of loan terms to SMEs (Jiménez et al., 2009; Ivashina et al., 2020; Crawford et al.,

2018; Ioannidou et al., 2019), but bank lending markets differ widely across countries.

    The second contribution of our paper is to provide evidence of credit constraints mattering in the

COVID recession and to shed light on the role of PPP in alleviating them. In earlier work, Li et al. (2020)

documented the sharp increase in bank credit outstanding in 2020Q1 and showed that this increase

mostly came from large banks. Acharya and Steffen (2020) show that large firms drew down bank credit

lines after the outbreak and raised cash levels. In independent and contemporaneous work, Greenwald

et al. (2020) also find that the increase came entirely from credit line drawdowns by large firms. Li et al.

(2020) conjectured that these drawdowns reflected large firms drawing on credit lines as a substitute for

the bond market disruptions in March (Haddad et al., 2020). Our evidence of substantial drawdowns by

firms without bonds outstanding and of the differential response to cash-flow shocks by small and large

firms instead emphasizes credit constraints facing small firms as a complementary channel for why

only large firms drew liquidity.

    More generally, our paper contributes to a debate on whether credit lines actually provide contingent

credit when liquidity shocks arrive (Sufi, 2009; Santos and Viswanathan, 2020; Nikolov et al., 2019).

Our empirical results show that smaller borrowers were especially vulnerable to being unable to tap

their credit commitments following the breakout of COVID-19, in contrast to their use of credit lines

in "normal times" (Brown et al., 2020). Due to data limitations, much of this debate has concerned

large firms and the role of loan covenants (Roberts and Sufi, 2009; Chodorow-Reich and Falato, 2020;

Ippolito et al., 2019; Murfin, 2012). We broaden this focus to include a more general trade-off between

commitment and discretion that extends to other loan terms, including maturity and collateral. This

is in line with the practical relevance of incomplete contracting and control rights (Hart, 2001), which

has lead to an extraordinary rich theory literature on loan terms.2 Whereas these works consider many

applications, we focus on the cross-sectional implications for liquidity provision through credit lines
2 See for instance Stulz and Johnson (1985); Thakor and Udell (1991); Eisfeldt and Rampini (2009); Rampini and Viswanathan

(2010, 2013); Demarzo (2019); Donaldson et al. (2020) on collateral, Flannery (1986); Diamond (1991); Calomiris and Kahn
(1991); Diamond (1993); Brunnermeier and Yogo (2009); Brunnermeier and Oehmke (2013); Diamond and He (2014) on
maturity, or Smith Jr and Warner (1979); Aghion and Bolton (1992); Berlin and Mester (1992); Garleanu and Zwiebel (2009);
Attar et al. (2010); Griffin et al. (2019); Davydenko et al. (2020); Greenwald (2019) on covenants, with some works studying
combination of loan terms (Hart and Moore, 1994; Rajan and Winton, 1995; Park, 2000; Donaldson et al., 2019).




                                                            6
(see also Nikolov et al. (2019)). Other works have also studied aggregate liquidity constraints when the

banking sector might not be able to honor all credit line draw-downs (Acharya et al., 2018; Greenwald

et al., 2020).

    The circumstances of the beginning of the COVID recession have additional implications for how to

think about credit constraints in bad times across the firm size distribution (Gertler and Gilchrist, 1994).

A common view emphasizes shocks to bank health and the cost of setting up new lending relationships

as the primary source of credit constraints for small firms (Stiglitz and Weiss, 1981; Petersen and

Rajan, 1994; Chodorow-Reich, 2014). We instead provide evidence that small firms could not draw

on pre-existing credit lines at a time when the banking sector was flushed with funds. This evidence

suggests the importance of looking beyond a simple supply/demand dichotomy and instead to the

incomplete nature of financial contracting to understand how bank liquidity flows across the firm size

distribution.



2    Data

Our main data source is the FR Y-14Q data collection, which is a supervisory data set maintained by the

Federal Reserve to assess capital adequacy and to support stress testing. The FR Y-14Q data contain

detailed quarterly data on various asset classes, capital components, and categories of pre-provision

net revenue for U.S. bank holding companies, intermediate holding companies of foreign banking

organizations, and savings and loan holding companies with more than $100 billion in total consolidated

assets.3

    We use the corporate loan schedule (H.1), which contains loan-level information on loans with a

commitment of $1 million or more. We include four types of loans, defined by their line numbers on

schedule HC-C of the FR Y-9C reports filed by all bank holding companies: commercial and industrial

(C&I) loans to U.S. addresses (Y-9C item 4.a), loans secured by owner-occupied nonfarm nonresidential

properties (Y-9C item 1.e(1)), loans to finance agricultural production (Y-9C item 3), and other leases

(Y-9C item 10.b). In what follows we parsimoniously refer to these categories all together as ‘corporate

loans’. For each loan, banks report a large set of characteristics, including the committed amount,
3 The size cutoff is based on: “(i) the average of the firm’s total consolidated assets in the four most recent quarters as reported

quarterly on the firm’s Consolidated Financial Statements for Holding Companies (FR Y-9C); or (ii) if the firm has not filed an
FR Y-9C for each of the most recent four quarters, then the average of the firm’s total consolidated assets in the most recent
consecutive quarters as reported quarterly on the firm’s FR Y-9Cs.” Prior to 2020Q2, the respondent panel was comprised of
any top-tier BHC or IHC with $50 billion or more in total consolidated assets.




                                                                 7
utilized amount, loan type (revolving credit line, term loan, etc.), interest rate, loan purpose, issue date,

and maturity date. Further, loans are identified with flags for new loan originations and renewals of

existing facilities. Loan renewals encompass minor changes in the terms of the original loan agreement

such as re-pricing or maturity extensions. In contrast, a major modification results in a new loan ID and

is flagged accordingly. Banks also report whether the loan is secured, and if so, the type of collateral. For

a subset of secured facilities that require a constant updating of the collateral market value, banks report

the exact value of the underlying collateral or blanket lien. Between 2015Q1 and 2020Q2, around 5.7%

of all facilities report the market value of collateral. Existence of and compliance with loan covenants is

not reported.

    In addition to loan terms, banks report borrower details, including location, industry, internal

risk rating, and firm financials. Financials are reported for roughly 60% of borrowers, with reporting

positively related to firm size. Financial variables may not be updated quarterly but instead annually or

at origination/renewal. Also, banks report whether the financials were audited by an external auditor.

    We link borrowers across banks and over time using tax identification numbers . We merge the

Y-14 schedule with Compustat via the tax identifier, yielding 4,686 matched firms between 2015Q1 and

2020Q2. Further, we use Compustat-Capital IQ and Mergent FISD to identify firms with access to the

bond market.4 We also merge our data with firms listed as participants in the Paycheck Protection

Program (PPP) using a string matching algorithm.

    Table 1 reports summary statistics of total commitment by firm size class in 2019Q4, aggregated up

to the firm (i.e. borrowing entity) level. Throughout the paper, we split firms into five groups based on

assets: less than $50 million, $50-249 million, $250-999 million, $1-5 billion, and larger than $5 billion.

We will sometimes refer to all firms with less than $250 million in assets as SMEs5 and firms with fewer

than $50 million as small SMEs. The assets are as reported in Y-14 and correspond to the assets of the

entity that is the primary source of repayment for the facility. We assign each firm to a single size class

throughout the sample using the median of the firm’s reported asset values over the sample period in

2020Q2 dollars.

    Our Y-14 sample, in Panel A, contains 51,248 small SMEs in the data, 11,469 firms with between $50

and $250 million in assets, 4,830 firms with between $250 million and $1 billion in assets, 3,176 firms
4 We identify 3,328 firms that either had a bond outstanding according to Compustat-Capital IQ in 2017Q4 or issued a bond at

  some point from 2010 through 2020 according to Mergent FISD. Of those 3,328 firms, we are able to identify 2,135 in the Y14.
  Moreover, of the 367 firms that we identify as having issued a bond between March and July 2020 we are able to identify 337
  in Y-14.
5 This matches the assets cutoff used by Ivanov et al. (2020) to define “small private firms” in their analysis of the Y-14 data.




                                                               8
                                                 Table 1: Distribution of Committed Bank Credit by Firm Type and Firm Size.


                     Firm Size                                                 Committed Credit (in $mil)
                     (Assets in Millions)               1st          10th            Mean         Median             90th           99th        Firms in
                                                 Percentile     Percentile                                      Percentile     Percentile       Category
                                                                                   Panel A: All Firms
                     Unclassified                        1.0             1.1           15.2             2.3           15.1           225.0         24,824
                     0 − 50                              1.0             1.1            5.6             2.6           13.5            37.8         51,248
                     50 − 250                            1.0             1.8           30.6            14.6           74.6           220.5         11,469
                     250 − 1000                          1.0             2.0           99.8            25.6          253.8           938.0          4,830
                     1000 − 5000                         1.0             2.4          300.4            43.9          894.8         2,835.0          3,176
                     5000−                               1.0             2.2          612.4            44.0        1,861.5         6,607.5          2,412
                                                                                  Panel B: Compustat
9                    0 − 50                              1.0             1.0            5.6             2.7           13.3            32.2           1,004
                     50 − 250                            1.0             1.6           41.7            20.0          100.0           333.5             434
                     250 − 1000                          1.0             1.8          134.8            48.9          367.5         1,196.0             707
                     1000 − 5000                         1.0             3.5          436.1           118.3        1,272.9         3,077.1           1,145
                     5000−                               1.2             4.7          981.4           215.5        2,918.0         7,611.8           1,109
                                                                          Panel C: Syndicated Bank Loans
                     0 − 50                              1.5             3.7           28.0            11.1           56.1           264.6             202
                     50 − 250                            2.0             7.2           68.7            50.0          133.0           460.6             652
                     250 − 1000                          2.9            11.2          149.7            93.1          375.0           783.6             988
                     1000 − 5000                         4.0            20.6          381.9           224.9          863.8         2,313.3             911
                     5000−                               6.0            78.3        1,071.7           650.1        2,762.3         6,000.0             520

     Notes: The table reports the distribution of firm-level committed credit by firm size group. Firm-level commitments are constructed by summing over credits in the Y-14
    data. For syndicated credits, the reported participation interest is scaled up to reflect the total commitment and loans held by multiple Y-14 banks are de-duplicated. The
    sample includes all C&I loans to U.S. addresses, corporate loans secured by owner-occupied nonfarm nonresidential properties, loans to finance agricultural production,
    and other leases. Panels B and C restrict to firms that appear in Compustat or have syndicated loans, respectively.
with between $1 and $5 billion, and 2,412 firms with more than $5 billion in assets. The table reports

total loan commitments to the firm, including syndicated loans held by other lenders.6 Among small

SMEs, the median loan commitment is $2.6 million, while among firms with more than $5 billion in

assets the median commitment is $44.0 million. There are also a number of firms missing total asset

values that we exclude going forward. Most of these appear to be small firms based on the commitment

amount.


Coverage.     To ascertain coverage, we first benchmark the Y-14 data to the Y-9C. As of 2019Q4, the Y-9C

includes the consolidated balance sheets of all domestic bank holding companies, savings and loan

holding companies, U.S intermediate holding companies, and securities holding companies with total

assets of at least $3 billion. In 2019Q4, the Y-9C reported $4.61 trillion of commitments and $2.25 trillion

of corporate loans outstanding (see Appendix Table A.1). Of these, the largest categories are C&I loans

(83% of commitments) and real estate-backed loans (14% of commitments). Our final panel of 29 banks

with more than $100 billion in assets contains $3.54 trillion of Y-9C commitments, of which $3.42 trillion

are C&I or real estate-backed. The Y-14 schedule at these banks contains $2.77 trillion of corporate

commitments, equal to 60% of total Y-9C lending.

    Next, Panels B and C of Table 1 report Y-14 summary statistics for firms in Compustat and with

syndicated loans, respectively. The distribution of firms in Compustat tilts to larger firms. Nonetheless,

the Y-14 contain 1,004 Compustat firms with less than $50 million in assets and another 434 firms with

between $50 million and $250 million in assets, and the distributions of commitment sizes to these

firms appear similar to the distributions of commitment sizes to similarly sized firms not in Compustat.

However, the analysis that follows cannot be done in Compustat because it involves specific loan terms

and drawdown rates. Commonly-used data sets of syndicated loans, such as DealScan or the Shared

National Credit Program (SNC), contain some of this information, but tilt even more heavily toward

large firms and loans. The Y-14 contains only 202 small SMEs with syndicated loans, which we identify

using a syndication field in the Y-14 itself. Even within a firm size class, larger loans have a higher

propensity to be syndicated, as reflected in the much higher 10th percentile and median loan sizes in

Panel C than in Panel A. These differences highlight the peril of using data on syndicated loans to

extrapolate to loan terms for smaller firms.
6 The total syndicated loan exposure is obtained by scaling up the reported participation interest and then de-duplicating

credits held by multiple Y-14 banks.




                                                           10
Representativeness.       The Y-14 data are potentially non-representative of the universe of corporate

loans along two dimensions. First, they exclude loan commitments of less than $1 million. The Y-14

classifies these loans as small business rather than corporate lending, based on the prevalence of “scored”

rather than internally rated lending in the loan decision. Table A.1 shows using Call Report data that

C&I and real estate-backed loans of less than $1 million account for less than 10% of total lending in

these categories and our analysis will not further account for them.

      Second, our sample of lenders excludes small banks that may use a different lending technology

(Stein, 2002), although this idea has been disputed (Berger and Udell, 2006). Regardless, table A.1 makes

clear that our data include a macroeconomically relevant share of lending to SMEs. We also replicate

our key facts in the subset of regional banks in the Y-14 to show that they hold with equal force in both

smaller and larger Y-14 respondents (Appendix D) and confirm that loan growth at the start of the

COVID recession was lower at smaller banks than at Y-14 banks (see also Li et al. (2020)).7



3     Illustrative Framework

This section presents an illustrative contracting framework to explain differences in loan terms across

firms and draws out the implications for access to liquidity in bad times. We follow the extensive

literature on bank lending that makes a distinction between committed and contingent access to credit.

Classical models show that committed credit lines can relieve financial constraints by providing liquidity

insurance (Holmström and Tirole, 1998). However, empirical evidence suggests this insurance view is

incomplete: credit lines are contingent and can be revoked or modified following bad news (Sufi, 2009).

Lenders in fact often have discretion over whether borrowers can access funds. We extend the Holmström

and Tirole (1998) framework to capture the trade-off between lender commitment and discretion. We

then show that the parameter configurations that lead to discretion also characterize small firms.


3.1    Setup

The firm’s problem is a simple version of Holmström and Tirole (1998) with one extension: the firm has

uncertain long-term value and can potentially be monitored at the interim stage. Otherwise, assumptions

about frictions and timing of cash-flows are standard. Specifically, a firm operates assets of value A.
7 The regional banks are M&T, Keycorp, Huntington, PNC, Fifth Third, SunTrust, BB&T (now: Truist), US Bancorp, Citizens,

Ally, Capital One, and Regions. These banks had average total assets of $253 billion in 2019Q4, compared to average assets of
$2.0 trillion at the five largest banks in the Y-14.



                                                            11
There are three periods. At t = 0, a penniless firm signs a loan contract with a bank, consisting of a

credit limit and loan terms that determine the extent of creditor control. At t = 1 a cash-flow shock

realizes: per unit of assets, the firm needs to inject additional funds ρ ∼ F = N (µ, σ2 ), where ρ < 0

has the interpretation of a surprise positive cash-flow shock. Not meeting this obligation implies a

dead-weight loss; for simplicity we assume the firm fails and that nothing can be recovered.8 Finally, at

t = 2 each unit of assets yields a payoff z + e, where e ∼ G is mean zero and uncorrelated with ρ. The

shock e to the firm’s terminal value is unknown at date 0 but observable at date 1 if the lender pays a

monitoring cost ζ.

    The key friction is limited pledgeability: the firm can promise only a share θ of its terminal value to

lenders in order to obtain financing. The parameter θ captures the (inverse of) financial frictions and

can be micro-founded by moral hazard or cash-flow diversion. The lender is risk-neutral and must

break-even on the loan, assuming a discount rate of 0.

    The role of credit is to prevent liquidity-driven liquidation at t = 1. A firm with credit limit ρ̂ can

sustain a shock as large as ρ̂ and defaults for larger shocks. We assume no new investment opportunities

arrive at t = 0 that could absorb financing. Incomplete plegeability creates the possibility of credit

rationing and inefficient liquidation at date 1: for cash flow shocks ρ between θ (z + e) and z + e the

lender loses ex-post even though it would be efficient to keep the firm afloat.


Commitment vs. Discretion             The firm chooses between two contractual forms: a committed credit line

or a credit line with lender discretion. We model this choice as a dichotomy for simplicity; in practice,

the trade-off between commitment and discretion is implemented in a more continuous fashion. The

firm chooses the contract that minimizes liquidity-driven default.

    Without discretion, the lender commits to a credit limit ρ̂ at t = 0. The analysis of this case

is standard and closely follows Holmström and Tirole (1998). Assuming the pledgeability friction

binds, the lender and borrower agree on the largest credit limit that satisfies the lender’s participation
                                                                                             µ−θz
constraint: −∞ θz − ρdF (ρ) = 0. The normality assumption implies that ρ̂ = µ + σh−1 ( σ ), where
            R ρ̂

h( x ) = φ( x )/Φ( x ) is the ratio of the standard normal pdf to the standard normal cdf.9 Importantly,
8 More generally, lack of funds can lead to costly financial distress, which can take many forms, including downsizing

  operations or selling assets. While defaults and liquidation are the most extreme forms of financial distress, they are not the
  most common. The framework is also agnostic on the exact source of the cash-flow shock: it can capture a fall in internal
  funds or a precautionary motive. Since our focus is on credit line design and use, we do not explicitly model other aspects
  of corporate liquidity management, such as cash balances, equity issuance, or (dis)investment, that could give rise to a
 precautionary motive. For fully dynamic models with exogenous contracts, see Bolton et al. (2011) or Nikolov et al. (2019).
9 Rewrite the participation constraint as E[ ρ | ρ < ρ̂ ] = θz and use the property that the mean of the truncated normal




                                                               12
the credit limit is higher than the expected pledgeable value: ρ̂ > θz. This contract alleviates frictions

through an insurance mechanism. Once ρ is realized, the lender would prefer to liquidate the firm if

ρ > θz. However, it is willing to offer a higher credit limit ex-ante because of the existence of good

states ρ < θz; good states cross-subsidize bad states such that the lender breaks even from an ex-ante

perspective. This is the liquidity insurance view of credit lines. Liquidity insurance requires commitment:

ex-post the lender would prefer to revoke the credit line for shocks larger than θz.

      In the alternative contractual form, lender discretion introduces the possibility of monitoring before

deciding to grant funds at t = 1. Discretion relaxes the lender participation constraint by granting an

abandonment option whose value increases with uncertainly over terminal value. However, as the logic

above makes clear, the pledgeability friction implies that the lender exercises this option inefficiently by

denying funds too often. Events at date 1 unfold as follows: (i) the lender observes ρ, i.e. sales are down;

(ii) the lender chooses whether to pay cost ξ per unit of assets in order to observe the shock e; (iii) the

lender accepts or rejects the request to lend ρ. If the lender rejects, the firm shuts down. Clearly, without

monitoring the lending decision can depend only on ρ, while with monitoring it also depends on e. In

all cases, the lender chooses the action that maximizes its expected payoff given its information.10


3.2     Equilibrium

We solve for equilibrium in two steps. First, if the contract contains discretion, what is the optimal

lender monitoring and rejection strategy? Second, what firm characteristics lead to discretion versus

commitment? We focus on the mechanism in the main text and provide a formal derivation in Appendix

C.

      We first show that monitoring only occurs for intermediate values of the date 1 cash-flow shock ρ.

Intuitively, small requests for funds are not alarming enough to justify incurring monitoring costs, while

large requests are too alarming. Formally, let V M and V N denote the expected value to the lender of

monitoring and not, respectively. Without monitoring, the lender agrees to lend only when ρ is less than

expected pledgeable value θz and its payoff is thus V N = max{θz − ρ, 0}. The value of monitoring comes
                                                                         
                                                                   ρ̂−µ
 distribution of F (ρ) over [−∞, ρ̂] is E[ρ|ρ < ρ̂] = µ − σh         σ        .
10 An alternative theory of monitoring is that it reduces moral hazard. This could take the form of incentivizing the borrower

 to take costly actions to reduce the likelihood of cash-flow shocks (avoid risk- or illiquidity-shifting). It is well known
 that giving the lender discretion to withdraw funds after a signal that the borrower has misbehaved can be beneficial
 (Dewatripont and Tirole, 1994; Acharya et al., 2014; Gorton and Kahn, 2000). While this approach can also rationalize
 contracts with discretion for small firms if they have worse incentive problems, it seems less applicable to understanding
 why small firms would receive no funds after a large external shock like the 2020 COVID crisis that is unlikely to be a signal
 of borrower misbehavior. For that reason, we focus on the case in which cash-flow shocks are exogenous to the borrower.



                                                                     13
               (a) Monitoring Region With Discretion                      (b) Lending Under Discretion Versus Commitment

                                                 Figure 1: Model Properties


from avoiding losses by lending only when ρ < θ (z + e), and thus V M = E[max{θ (z + e) − ρ, 0}] − ξ.

The lender monitors if V M > V N . The monitoring region is characterized by cutoffs ρ, ρ such that

V M > V N if ρ ∈ [ρ, ρ]. These cutoffs are defined implicitly by θe>ρ−θz θ (z + e) − ρ dG (e) = θz − ρ + ξ
                                                                R

and θe>ρ−θz θ (z + e) − ρ dG (e) = ξ.11 The left panel of fig. 1 illustrates the monitoring decision
    R

graphically.

    A first necessary condition for discretion is that the monitoring region be non-empty. Otherwise, the

lender never monitors and uses the smallest possible credit limit, equal to θz. In that case, the borrower

always prefers commitment to discretion, since the committed limit is ρ̂ > θz. The size of the monitoring

range increases in uncertainty over the firm’s terminal repayment ability, captured by the variance of e.

Intuitively, when uncertainty is low, the option value of learning is low. Formally, the variance of e must

be large enough relative to the monitoring cost so that V M > V N for some realizations of ρ.

    With sufficiently large uncertainty over terminal repayment ability, discretion can dominate commit-

ted credit. Discretion is more attractive to firms whose pledgeable asset value is both highly uncertain

and low relative to the expected t = 1 cash-flow shock. The right panel of fig. 1 illustrates lending

outcomes under both type of contracts. The figure makes clear the trade-off from choosing discretion —

more lending in the high shock region if fundamentals have improved, at the cost of giving up some

lending in the low shock region. Therefore, only firms with sufficiently high expected cash-flow shocks

and sufficiently high terminal uncertainty prefer discretion. Intuitively, insurance (lender commitment)
11 The expression defining ρ equates the expected net value of monitoring when ρ < θz to the expected value of not monitoring.

 The expected net value of monitoring integrates the cash flows the lender receives θ (z + e) − ρ over the region where these
 are positive, and subtracts the monitoring cost ξ. The expected value of not monitoring given ρ < θz is simply θz − ρ. The
 expression defining ρ is analogous except that when ρ = ρ the value of not monitoring is zero.



                                                             14
is less valuable when very large cash-flow shocks are more likely and discretion more valuable when the

option value of monitoring is high. Formally, E[ρ] > θz is a second necessary condition for discretion to

be chosen.


3.3     Mapping to Firm Size Distribution

Because the cash-flow process is proportional to scale, firm size A plays no direct role.12 Instead, firms

that choose discretion have more ex ante uncertainty over their pledgeable terminal value (greater

variance of e) and larger average cash-flow shocks (higher µ) relative to expected pleadgable value

(lower z and θ). We provide two types of evidence that link these features to small firms.

      First, table 2 uses Y-14 data to show that small firms produce financial statements less frequently

and that the financials are less likely to be certified by an external auditor. This evidence expands on

earlier work that investigates financial reporting by small firms in much smaller data sets (Allee and

Yohn, 2009; Minnis and Sutherland, 2017).13 The absence of external audits creates further uncertainty

over the financial position of a borrower and reduces cash flow pledgeability by increasing the risk of

fraudulent accounting.

      Second, Appendix table A.3 shows that smaller Compustat firms have higher volatility of revenue,

EBITDA, and net income, and that smaller CRSP firms have more volatile stock returns. These

results complement recent work documenting that smaller firms are more volatile (Calvino et al., 2018;

Herskovic et al., 2020).14 The intrinsic volatility of small firms also adds to uncertainty about their

long-run value.

      More generally, associating high uncertainty, high volatility, and low pledgeability with small firms

connects to a broader literature which shows that smaller firms tend to be riskier, more opaque, and

thus ultimately more constrained (Gertler and Gilchrist, 1994; Petersen and Rajan, 1994; Berger and

Udell, 2006; Whited and Wu, 2006; Hennessy and Whited, 2007). This literature has also emphasized
12 Size would matter directly if monitoring costs did not scale with total assets. On the one hand, a fixed cost of monitoring

  would imply a cheaper per-unit cost for large firms. On the other, large firms have greater complexity per unit of assets,
   implying a convex cost of monitoring.
13 The size gradient in financials and external audit frequency survives inclusion of bank and industry fixed effects and

   covariates for loan terms (see Table A.2). Gustafson et al. (2020) provide evidence of monitoring in the syndicated market,
   including site visits and external audits. They find that only about 20% of syndicated loans undergo ‘active’ monitoring.
   Plosser and Santos (2016) infer monitoring from changes in internal risk metrics and find that roughly 30% of syndicated
   credit are adjusted each quarter, and that opaque borrowers are more proactively monitored.
14 While Compustat and CRSP tilt toward larger firms overall, table 1 shows that these data sets also contain a number of

   SMEs and that the SMEs in Compustat appear similar to other SMEs in loan size. Small firms not in Compustat likely have
   other characteristics, such as lower transparency, that would further push in the direction of discretion. Calvino et al. (2018)
   show that smaller firms have more volatile employment growth using business register data covering 20 countries and that
   this pattern is not explained by firm age.


                                                               15
                                         Table 2: Frequency of Borrower Financials

                                         Financials Date                               Audit Date
            Assets (mil.)       Ever      Last 2Q       Lag (Qtrs.)        Ever      Last 2Q       Lag (Qtrs.)          Obs.
            0-50                 .96          .4              3.2           .27        .065              4.8          622257
            50-250               .96         .48              2.9           .68         .17              4.3          212128
            250-1000             .93         .47              2.9           .82         .25              3.9          146600
            1000-5000            .93         .53              2.6           .88         .35              3.4          170367
            5000-                .93         .59              2.5            .9         .41              3.1          163265
             Notes: The table summarizes the frequency with which the date of financials (or audited financials) are ever
             reported, whether there is a reported date in the last 2Q, and the average time since the reported date (in quarters)
             conditional on a date being reported. Sample is 2015Q1-2019Q4. Excludes bank-quarters that rarely report audit
             dates. Observation count reports the total number of loan-quarters in each size category, regardless of financials
             reporting.




the relationship aspect of lending to small firms (Petersen and Rajan, 1994; Berger and Udell, 1995;

Degryse and Van Cayseele, 2000; Puri et al., 2017). In our framework, relationships exist to facilitate the

possibility for information collection and monitoring, as just sharing accounting information at t = 1 is

unlikely to be credible enough given that these numbers are not easily verifiable nor forward-looking.


3.4   Connection to Loan Terms and Empirical Predictions

A contract with lender discretion can be implemented using loan terms such as demandable or short-

maturity debt, collateral, or covenants. Demand loans are analogous to the contract described above

— any time the borrower asks for funds, the lender can monitor and reject. Similarly, short-maturity

contracts allow the lender to monitor and threaten not to renew if the borrower requests funds. With

collateral, the lender can choose to monitor the value of pledged assets and reject if the requested funds

exceed this value. Covenants allow the lender to monitor and reject or recall a drawdown if the covenant

is violated, although this requires having high quality firm financials updated at quarterly frequency,

which may explain why contracts to small firms do not rely solely on covenants.15 Crucially, all of these

terms involve discretion: a lender can roll-over the loan, not mark the collateral to market, and waive a

covenant violation. Conversely, commitment is achieved through loan terms agreed upon at t = 0, such

as a long-term unsecured credit line with weak covenants.
15 Like most classical models of control rights in financial contracting, the present framework is too stylized to derive the

 optimal mix of loan terms, i.e. in what instances collateral is better that short maturity. Empirically, the bundling of strict
 loan terms shown below suggests broad economic forces that transcend any one loan term. Nevertheless, different loan
 terms give lenders discretion along different dimensions. Collateral requirements or covenants can be used to act on news
 at high-frequency, but only if the information relates to a specific asset value or financial ratio. Short maturity gives less
 frequent opportunities to exercise discretion but the renewal decision can be based on any type of information.



                                                                    16
    We summarize this section with three predictions. First, small firms have loan terms that reflect

discretion: short maturity credit lines that must be rolled-over frequently, high collateral requirements,

and collateral with uncertain final value such as accounts receivable, inventories, or blanket lien as

opposed to fixed assets or real estate.

    Second, small firms with contracts that implement discretion may not be able to draw on their credit

lines when a cash-flow shock arrives, even if they have funds available “on paper”. This evaporation of

liquidity is the result of an equilibrium choice: information-sensitive credit limits raise the probability

of accessing funds ex-ante, but can restrict small firms ex-post. Through the lens of the model, a shock

ρ > ρ is not blindly accepted by lenders: if ρ > ρ the shock is blindly rejected, while if ρ ∈ [ρ, ρ], the

shock triggers monitoring and the request for funds is accepted only if fundamentals have improved

significantly (θe > ρ − θz), which likely will not be the case for most small borrowers.16 We emphasize

this is a relative prediction; in reality, where discretion versus commitment is more a matter of degree

than dichotomy, small firms will be able to draw less than large firms. Moreover, insofar as lender

discretion for large firms takes the form of covenants that do not trigger immediately in response to a

cash-flow shock, the prediction holds with most force early in a liquidity event.

    Finally, the framework has implications for public credit programs aimed at small firms such as PPP.

Programs that stimulate credit over and above the market allocation are likely to carry an element of

subsidy. The reason is that private contracts are second-best: equilibrium loan terms already maximize

the sum of borrower and lender surplus subject to the borrower pledgeability and lender participation

constraints. If the public sector faces the same pledgeability frictions, a program that increases credit

limits necessarily implies losses on a loan-by-loan basis. Requiring collateral/seniority does not help,

since if that could relax pledgeability or participation constraints, private parties would have already

incorporated these features.17 Furthermore, while pledgeability frictions imply that some solvent firms

with discretionary contracts do not receive a loan without intervention (those with θ (z + e) < ρ < z + e),

even in the first-best it is efficient to restrict lending to firms requiring cash flow injections that exceed
16 It should be clear that monitoring and termination do not necessarily result from the cash-flow shock being unanticipated.

   Indeed, firms sign contracts with discretion precisely because they expect large cash-flow shocks. News that shifts the
   distribution of shocks can also trigger renegotiation even before any liquidity need arises. The model implies this would
   affect the loan agreement at t = 0. For example, news of (i) a right-shift of the distribution of cash-flow shocks or (ii) an
   increase in uncertainty over firms’ assets values would make discretion more attractive. Contracts that are newly signed or
   renegotiated after a COVID-type shock are then more likely to include stricter loan terms.
17 In fact, the optimal intervention typically mimics private contracts (Tirole, 2012; Philippon and Skreta, 2012; Philippon and

   Schnabl, 2013). The fiscal consequences of intervention are reduced in two cases. If inefficiencies are rooted in coordination
   failure or there are large aggregate demand externalities, a “whatever it takes” approach can be effective without imposing
   much, if any, cost on taxpayers. Second, if the government is a more efficient lender than the banking sector. This is less
   likely to be the case when banks have strong balance sheets and low cost of funds.



                                                               17
    Table 3: Maturity at Origination/Renewal by Facility Type and Firm Size Category as of December 31, 2019


      Maturity at
 Origination/Renewal            Demand        <1 year     1 year     1-2 year      2-4 years     4-5 years      >5 years      Obs.

 Assets ($mil.)
                                                              Panel A: Revolving Credit Lines
 0-50                               .29          .23         .23         .16          .058          .028          .013       26924
 50-250                             .15          .12          .1         .15           .19           .28           .03       8089
 250-1000                          .076         .046         .04        .066           .17           .56          .045       5924
 1000-5000                         .024         .021        .021        .033           .15           .71          .047        6598
 5000-                             .018         .039        .059        .042           .12           .67          .048       6199
                                                                     Panel B: Term Loans
 0-50                             .0012         .041        .022        .015          .07            .26           .59       13612
 50-250                           .0013          .04        .022        .024          .14            .43           .34        6222
 250-1000                        .00061         .032        .014        .034          .13            .48           .31        3293
 1000-5000                          0           .037        .017        .033          .16            .53           .22        2587
 5000-                            .0005         .071        .048        .087          .25            .38           .16        1982
 Notes: The table reports the fraction of outstanding loans to each firm size group (assets in $million) by the maturity indicated
in the table header. The maturity is as of the respective facility’s origination date or alternatively the most recent renewal date
if the facility has been renewed since origination. The sample includes loans as of December 31, 2019 for which an origination
or renewal date is reported.


their long-term value (those with ρ > z + e). Thus, the welfare effects of uniformly increasing credit to

small firms are not obvious. Appendix C.2 further studies public credit provision in our framework.



4      Loan Terms Across the Firm Size Distribution

This section documents five facts that show how loan terms create greater lender discretion for small

borrowers relative to large borrowers, especially in the provision of credit lines. Appendix D replicates

the facts in the subset of regional banks and Appendix E in the subset of public, Compustat-matched

borrowers.


Fact 1: Small firms have short-term credit lines, large firms have long-term credit lines. Other loan

types have similar maturity across the size distribution.                   Table 3 reports the distribution of maturity

at origination or renewal for all loans outstanding on December 31, 2019, by loan type and firm size.

      Panel A restricts to revolving credit lines, the most common loan type and the one most closely tied

to liquidity management. Small and large firms differ dramatically in the maturity of their credit lines.

For the small SMEs, demand loans, meaning loans immediately callable at the discretion of the lender,

                                                                18
constitute 29% of all credit lines. An additional 23% of loans to these SMEs have duration of less than 1

year and another 23% have 364 day credit lines, so that three-quarters of credit lines to small SMEs have

1 year or less of maturity at origination. Less than 10% of credit lines to these firms originate with more

than 2 years of maturity.

   Credit line maturity rises monotonically and sharply as firm size increases. Half of all credit lines to

larger SMEs ($50-250 million in assets) have 2 or more years of maturity at origination and two-thirds

of credit lines to these firms have more than 1 year of maturity at origination. For firms with more

than $1 billion in assets, less than 10% of credit lines have original maturity of less than 2 years and

three-quarters have maturity of greater than 4 years, with the modal credit line a 5 year facility.

   Panel B of Table 3 shows that these patterns largely disappear for term loans. For example, less

than 20% of term loans to firms of any size class have original maturity of less than 2 years and the

majority of term loans have original maturity of greater than 4 years. If anything, small firms have

slightly longer maturity term loans at origination. This pattern makes sense through the lens of our

theoretical framework, as lenders value discretion most when they have not yet released funds.


Fact 2: All firms actively manage maturity of long-term loans. Small firms do not actively manage

maturity of short and medium term loans. Therefore, small firms are more likely to have expiring

credit lines. Table 4 pools data over 2015-2020 to explore active maturity management. For each bin of

maturity at origination and size class, the table reports the median maturity remaining (in months) just

before and after the renewal of a credit agreement.

   Credit lines with a maturity at origination of one year or less have almost no active maturity

management. The median renewal occurs on a loan with 12 months of maturity at origination and no

maturity remaining at the time of renewal; this pattern holds almost uniformly across the firm size

distribution. For credit lines with original maturity between one and four years, large firms renew

earlier in the loan cycle than small firms. For example, the median renewal on a credit line to a small

SME with original maturity of between one and two years occurs one month before expiration, while for

a firm with assets above $1 billion the median renewal occurs with one year remaining on the facility.

These patterns disappear for the longest maturity credit lines, even reversing, although this maturity

category represents less than 5% of credit lines to small SMEs.

   The patterns for term loans look similar, with the main difference being that even small SMEs renew

medium-term (2-4 years) term loans well in advance of expiration. However, as shown in fact 2, most


                                                    19
                                    Table 4: Maturity Management in Revolving Credit Lines and Term Loan by Firm Size Category.


                  Assets ($mil.)
                  Original Maturity               1 year or less                    1-2 years                      2-4 years                     more than 4
                                           Before     After        N       Before      After      N       Before     After       N       Before     After        N
                                                                                           Panel A: Credit Lines
                  0-50                        0         12      274076        1         19    73108      6       31            29977        56        61       17679
                  50-250                      0         12       48580         6        21    29236     12       34            38101        38        60       44975
                  250-1000                    0         12       12913         9        22    10501     21       35            34285        36        60       68380
20                1000-5000                   0         12        7626        11        19     7188     26       36            43873        38        60      106056
                  5000-                       1         12       14996        12        20     7116     28       36            36860        44        60      106849
                                                                                             Panel B: Term Loans
                  0-50                        0          4       17670         2        18      6975      19     35            30932        47        69      162379
                  50-250                      0          6       8034          6        16      5577      23     33            29441        42        60       95464
                  250-1000                    0          9       3028         12        18      2654      25     33            16214        43        59       50240
                  1000-5000                   1         11       2637         10        20      2142      26     33            14869        45        59       41947
                  5000-                       1          7       5221         12        18      3893      29     34            14902        48        59       27810
      Notes: The table reports the median maturity (in months) before and after a credit facility is renewed. Facilities are grouped by their maturity at origination/recent renewal
     date as noted in the header. Demand loans are excluded from the sample. The sample is restricted to all renewals of revolving credit lines (Panel A) and term loans (Panel
     B) reported between 2015Q1 through 2019Q4.
Table 5: Remaining Maturity by Facility Type and Firm Size Category for Loans Outstanding on December 31,
2019


    Loan Due:           Demand         Jan      Feb      Mar       Q2     Q3-Q4      2021     2022-24     Later      Obs.

    Assets ($mil.)
                                                      Panel A: Revolving Credit Lines
    0-50                    .28        .029     .029      .032      .19      .27        .1      .055       .0089    37067
    50-250                  .19        .016     .014      .018     .081      .15       .17       .33        .015    10901
    250-1000                .13       .0034    .0038     .0039     .039     .074       .13       .59        .016     8142
    1000-5000              .096       .0023    .0026     .0017     .018     .041        .1       .72       .0099     9503
    5000-                  .078       .0069    .0059     .0068     .022     .053      .092       .72        .014     8662
                                                             Panel B: Term Loans
    0-50                   .0015      .0043    .0056     .0063     .018     .036      .063       .36         .5     22541
    50-250                 .0015      .0057    .0058     .0076      .02     .042       .12       .55        .24     8830
    250-1000               .0011      .0025    .0034     .0062     .019     .041       .11       .62         .2      4387
    1000-5000                0        .0054    .0027     .0072     .019      .04      .097       .68        .14     3333
    5000-                 .00038       .014     .011       .01      .04     .082       .14       .58        .12      2598
 Notes: The table reports the fraction of loans to each firm size group (assets in $milion) with remaining maturity indicated in
the table header. The sample includes loans outstanding as of December 31, 2019.



term loans to both small and large firms have more than 4 years of maturity at origination. Across the

size distribution, the median renewal on these loans occurs with around 4 years of maturity remaining.

    Since the largest firms have primarily long-term credit lines and term loans (fact 1), the evidence in

Table 4 confirms the active maturity management for large firms documented in Roberts (2015) and

Mian and Santos (2018). At the other extreme, the smallest SMEs overwhelmingly have short-term credit

lines that simply get rolled over as they become due. Therefore, while large firms rarely have expiring

credit, small firms frequently do. Table 5 shows this outcome explicitly by reporting the distribution of

maturity remaining as of December 31, 2019, by loan type and firm size. Less than 3% of term loans

to firms in any size class came due in 2020Q1 and 70% or more of term loans outstanding at the end

of 2019 did not mature until 2022 or later. Similarly, only 15% of credit lines to the largest firms had

maturity remaining of less than one year and the modal loan had maturity remaining of around three

years, consistent with evidence from the syndicated loan market documented in Chodorow-Reich and

Falato (2020). In sharp contrast, nearly 40% of loans to the smallest SMEs were immediately callable or

due in the first quarter of 2020 and 85% were due sometime in 2020.

    Together, facts 1 and 2 describe one way that lenders maintain discretion over pre-committed credit

to small firms: they lend at short maturity which requires more frequent rollover decisions. More


                                                              21
            Table 6: Collateral Use by Facility Type and Firm Size Category as of December 31, 2019


       Collateral          Real                AR &         Fixed                Blanket
         Type             Estate    Cash     Inventory      Assets     Other      Lien       Unsecured       Obs.

       Assets ($mil.)
                                     Panel A1: Revolving Credit Lines (Non-Demand Loans)
       0-50                 .023     .015        .47         .029       .049        .38          .037       26762
       50-250               .025     .026        .44         .057       .083        .28          .092        8792
       250-1000             .015     .043        .37         .048        .11        .25           .17        7073
       1000-5000           .0054     .038        .31         .039        .11        .18           .32        8586
       5000-               .0019     .018         .1         .015       .074       .074           .71        7987
                                        Panel A2: Revolving Credit Lines (Demand Loans)
       0-50                .0077     .012         .66         .034      .049        .16          .079       10942
       50-250              .0055     .026         .37         .084      .037        .11           .37       2901
       250-1000            .0017      .02         .18         .069      .018       .058           .65        1773
       1000-5000           .0007     .022         .11        .0056      .012       .046           .81       1423
       5000-                 0       .015        .053        .0041       .02       .026           .88         984
                                                          Panel B: Term Loans
       0-50                 .48     .0044         .11         .12       .025       .25           .019       22508
       50-250               .24      .012         .13         .31       .043       .23           .026        8817
       250-1000             .14      .027         .13         .35       .056       .24           .063       4382
       1000-5000           .074      .028         .14         .18       .086       .23            .26        3333
       5000-                .02      .018        .082         .23       .068       .15            .44        2597
 Notes: The table reports the fraction of loan commitments to each firm size group (by assets in $million) with the type of
collateral indicated in the table header. The sample includes loans as of December 31, 2019.



frequent rollover decisions for small firms in turn give the lender greater opportunity to adjust loan

terms or withdraw credit.


Fact 3: Small firms almost always post collateral while large firms often borrow unsecured.                       Table 6

reports the distribution of loans by firm size and the main type of collateral posted, if any, as of the end

of 2019. The Y-14 groups collateral types into real estate, fixed assets, accounts receivable & inventory

(AR&I for short), cash, other specified assets, blanket lien, and unsecured. These collateral types differ in

the protection they provide to a lender and the frequency of revaluation. Real estate and fixed assets are

illiquid claims with stable valuations. AR&I are more liquid claims whose value can move at arbitrarily

high frequency depending on the reporting requirements imposed by the lender, causing the effective

loan limit to fluctuate as well. Blanket liens give a lender priority over unsecured lenders in bankruptcy

but do not otherwise provide a specific claim.


                                                            22
   As shown in Panel A1 and in line with facts documented in Luck and Santos (2020), less than 10%

of non-demand revolving credit lines to SMEs are unsecured. Within those that are collateralized, half

are backed by AR&I, with blanket liens accounting for most of the remainder. The share unsecured

rises to 17% for revolving credit lines to firms with assets between $250 million and $1 billion, 32% for

loans to firms with assets between $1 and $5 billion, and 71% for loans to firms in the largest size class.

A similar gradient holds among demand loans (Panel A2), with less than 10% of demand loans to the

smallest firms unsecured and 88% of demand loans to the largest firms unsecured. Again, AR&I are the

dominant source of collateral.

   Differences in collateral requirements are equally stark for term loans, shown in Panel B. Only 2%

of term loans to firms with less than $50 million of assets are unsecured. The share unsecured rises

monotonically with firm size to 26% for loans to firms with assets between $1 and $5 billion and 44%

for the largest firms. In contrast to credit lines, real estate is the typical security for term loans to small

borrowers and fixed assets the typical security for larger firms.

   Appendix table A.4 documents differences in collateral posting across industries; for example, firms

in the retail sector have a higher propensity to post AR&I, reflecting their need for working capital and

their large inventories. However, these differences do not explain the size gradient in collateral, as we

confirm in regressions that control for industry reported in table A.5 in the Appendix.

   In sum, small firms also provide lenders with discretion on pre-committed lines of credit by posting

collateral that lenders can re-value at high frequency.


Fact 4: In normal times, small firms have higher, more volatile utilization of credit lines.           Table 7

shows the utilization rate on credit lines at the end of 2019. Nearly one-third of small SMEs had

utilization rates above 70%, compared to only 6% of the largest firms. Conversely, three-quarters of the

largest firms had utilization rates below 10%, compared to one-third of small SMEs. The final column

shows that small SMEs also exhibit more variation in credit utilization in normal times, measured

as a larger average absolute quarterly change over 2015-2019. Together, the high mean level and

unconditional volatility of utilization at small firms reflect their reliance on credit lines as a source of

financing in normal times (see also Brown et al., 2020; Greenwald et al., 2020), in sharp contrast to the

evidence from the COVID period below. This evidence is also in line with smaller firms having larger

cash-flow shocks than large firms, as discussed in the illustrative framework above.

   Taken together, the high average utilization (fact 3) and reliance of small firms on collateralized


                                                      23
                        Table 7: Drawdown of Revolving Credit Lines by Firm Size, 2019Q4


                                           Utilization/Commitment
                                            10−     30−     50−     70−                  |∆ Util./
              Assets (mil.)      < 10%      30%     50%     70%     90%      > 90%      Comm. % |        Obs.
              0-50                .33       .087     .12     .15     .14       .17          10           36827
              50-250              .35         .1     .12     .15     .14       .14          9.4          10928
              250-1000            .37        .12     .14     .15     .12      .094          8.4          8122
              1000-5000           .47        .16     .13     .11    .075      .067          7.7           9447
              >5000               .77        .08    .053     .03    .014      .056          4.5           8729
 Notes: The table reports the distribution of drawn credit as share of total commitments and the average change in the absolute
value of drawn credit as a share of total commitments. The distribution is reported for 2019Q4. Changes in drawn credit are
based on the period 2015Q1 through 2019Q4. Observations report the number of loans in each size category in 2019Q4.


credit facilities (fact 2) suggest small firms’ access to liquidity is more sensitive to the collateral values.

We investigate this more directly in the Internet Appendix using the market value of collateral, which is

reported for roughly 6% of loan quarters, and a multivariate regression (see Figure A.1). Indeed, we find

that the sensitivity of utilization to collateral values is: i) roughly twice as large for small SMEs as large

firms; ii) greatest for facilities backed by AR&I and (albeit noisily) real estate; iii) higher for facilities

that are closer to their collateral constraint. Hence, collateral constraints result in greater variation in

liquidity over time, particularly for small firms with more binding terms.

    Finally, existing work has suggested that firms with less undrawn credit have incentives to hold cash

instead (Sufi, 2009; Lins et al., 2010; Acharya et al., 2014; Berg, 2018; Nikolov et al., 2019). Table A.6

in the Appendix confirms that smaller firms have higher cash-to-assets ratios. In the next section, we

will control for initial cash holdings when investigating cross-sectional differences in drawdown rates

during the COVID-19 recession.


Fact 5: Small firms pay higher spreads, even conditional on observable firm and bank characteristics.

Earlier facts document that smaller firms have shorter maturity credit lines, less active maturity

management, and post more collateral than larger firms. Our final fact shows that small firms do

not receive the benefit of lower spreads in exchange for these stricter loan terms. We refer to this

arrangement as small firms choosing loan terms from a different menu rather than choosing different

items from the same menu as large firms.

    Table 8 reports the distribution of interest rates on loans outstanding at the end of 2019, by firm size

and loan type. For both credit lines and term loans, the interest rate distribution for the smallest firms



                                                              24
               Table 8: Interest Rates by Facility Type and Firm Size Category on December 31, 2019


         Interest in bp      0 -100     100-200      200-300      300-400      400 -500     500 -600      >600      Obs.

         Assets ($mil.)
                                                       Panel A: Revolving Credit Lines
         0-50                 .015         .01         .054           .3          .41           .17        .04     24293
         50-250               .048         .03          .16           .4           .2          .076       .083     7392
         250-1000             .068        .026          .16          .34          .22          .091         .1     5489
         1000-5000            .086        .017          .21          .37          .16          .078       .075     5817
         5000-                  .2         .02          .24          .32          .11          .053       .053     2623
                                                               Panel B: Term Loans
         0-50                 .015        .0018        .029          .38          .42           .13       .026     22541
         50-250               .024        .0031        .074          .49          .28          .079       .054      8826
         250-1000             .026        .0059         .11          .47          .24          .076        .07     4386
         1000-5000            .035         .011          .2          .54          .13          .045       .036     3333
         5000-                .094         .019         .26          .46          .12          .029       .013     2598
 Notes: The table reports the fraction of loan commitments to each firm size group (by assets in $million) with the interest
rate indicated in the table header. Interest rates represent the reference rate plus spread for floating rate loans and fixed
interest rate for fixed rate loans, both as of December 31, 2019. Interest rates for revolving credit lines are only reported if the
drawdown is strictly larger than zero. The sample includes loans as of December 31, 2019.


first order stochastically dominates the distribution for the second smallest size class, and so on up to

the largest firms who face the lowest spreads.

    Observable characteristics of the borrower and lender only partially explain these differences. Table 9

reports regressions of the interest rate on size class and reference-rate×time fixed effects, with loans to

the smallest SMEs the omitted category. Thus, the coefficients have the interpretation of the additional

spread, in basis points, for firms in each size class relative to the smallest SMEs. For both credit lines

(column 1) and term loans (column 5), the unconditional differences in spreads are economically large;

the mean spread on a loan to a firm with more than $5 billion in assets is more than 100 basis points

lower than to a small SME. Columns (2) and (6) add industry, lender and rating fixed effects as well

as firm financial characteristics — debt/assets, cash and receivables/assets, operating income/interest

expense, and net income/assets — where the fixed effects and the financial variables are allowed to

vary over time by interacting with time fixed effect. Including all of these observable firm characteristics

reduces the size gradient for both credit lines and term loans by roughly one-third relative to the

specification with no controls, but a substantial difference of around 80 basis points remains. This

persistent difference suggests small borrowers are risky beyond observable characteristics, consistent

with concerns about unverifiable financial statements or other soft information known to the lender.

                                                                25
                     Table 9: Pricing of Revolving Credit Lines and Term Loans by Firm Size Category.

    Dependent variable                                                                               Interest Rate (in bp)
    Sample                                                                     Credit Lines                                                        Term Loans
                                                            (1)                 (2)                (3)               (4)                 (5)                 (6)                (7)
    50-250 (in mil)                                    -62.0***            -36.3***           -35.6***           -35.7***            -17.4***            -12.2***           -11.2***
                                                         (2.1)               (1.7)              (1.7)              (1.7)               (2.3)               (1.8)              (1.8)
    250-1000                                           -55.6***            -37.0***           -35.7***           -35.6***             -13.0**             -8.7**               -5.5
                                                         (3.7)               (2.9)              (3.2)              (3.2)               (4.1)               (3.0)              (3.0)
    1000-5000                                          -69.2***            -63.0***           -58.5***           -58.2***            -66.5***            -53.1***           -39.7***
                                                         (3.2)               (2.7)              (3.3)              (3.3)               (3.7)               (3.1)              (3.3)
    5000-                                             -113.9***            -85.3***           -76.2***           -76.0***           -107.3***            -79.7***           -63.4***
                                                         (4.1)               (4.5)              (5.1)              (5.1)               (4.0)               (3.6)              (3.8)
    Reference-Rate-Time FE                                 Yes                 Yes                Yes                Yes                 Yes                 Yes                Yes
    Industry-Time FE                                       No                  Yes                Yes                Yes                 No                  Yes                Yes
    Bank-Time FE                                           No                  Yes                Yes                Yes                 No                  Yes                Yes
    Rating-Time FE                                         No                  Yes                Yes                Yes                 No                  Yes                Yes
    Firm Financial Controls                                No                  Yes                Yes                Yes                 No                  Yes                Yes
    Loan Terms Controls                                    No                  No                 Yes                Yes                 No                  No                 Yes
    Drawdown                                               No                  No                 No                 Yes                 No                  No                 Yes
    No of Firms                                          41645               37172             37053               37053               31208              26314              26214
    N                                                   130277              114102             112545             112545               61320              53822              52412
    R2                                                   0.359               0.553              0.566              0.566               0.279              0.521              0.535
     Notes: Results from estimating a model of the following type: Interest`,t = ∑s6={$0−50m} β 1,s I{size class = s} + Γ0 Xt + e`,t where Interest`,i,b,t is the interest on facility ` from
     bank b to firm i at time t. The sample contains originations and renewals between 2015Q1 and 2019Q4. Industry×time fixed effects are at the NAICS 3-digit level. Rating×time
     fixed effects are categorical variables for 10 internal loan rating categories. Firm financial controls are lagged debt/assets, cash and receivables/assets, net income/assets,
     and operating income/interest expense. Loan term controls are six maturity categories (demand loans, 0-6 months, 6-12 months, 1-2 years, 2-4 years, more than 4 years), six
     collateral classes (real restate, marketable securities, accounts receivables and inventory, fixed assets, other, and unsecured or blanket lien), and total credit line commitment
     over total assets. Robust standard errors are clustered at the firm level in parentheses; *, **, and *** indicate significance at the 10%, 5%, and 1% level, respectively.




    Columns (3) and (7) additionally control for maturity- and collateral-time fixed effects and loan

commitment size/assets. These additional loan terms further reduce the size gradient. Interpreting this

evidence requires care, because loan terms and interest rates are jointly determined. Since small firms

have stricter terms — shorter maturity and higher collateral requirements — the fact that controlling for

these terms reduces the credit line gradient indicates that these other terms must also reflect additional

information about credit worthiness or market power not encoded in the rating or firm financials. Put

differently, the reduction in the pricing gradient implies there is an omitted variable, like borrower

quality, that is positively correlated with size and maturity and negatively correlated with collateral and

interest rates, as suggested by our theory. Finally, Column (4) shows that differences in utilization of

credit lines across small and large firms (fact 4) do not add any additional explanatory power.18 Finally
18 The large gradient in term loans also helps to rule out differences in drawdown rates as well as in fees specific to either

 credit lines or term loans (Berg et al., 2016), which we do not observe.




                                                                                            26
Table A.7 in the Appendix shows that market concentration cannot explain the size gradient, alleviating

the concern that it only reflects differences in market power (Wang et al., 2020).



5     COVID and Drawdowns

We now assess how these differences in loan terms influenced firms’ access to liquidity in the first half of

2020. First we describe unconditional differences in credit line utilization, then we estimate drawdown

rates controlling for firm characteristics, next we present evidence of heterogeneous utilization in

response to the COVID shock, and finally we discuss the interaction with the PPP.


5.1     Drawdowns by Firm Size

Table 10 displays the change in reported bank credit by size class and loan type in 2019Q4, 2020Q1, and

2020Q2. The Y-14 does not include loans made under the Paycheck Protection Program (PPP), so these

totals exclude any PPP credit in 2020Q2. The percent change in bank credit outstanding during the

COVID period increases monotonically in the firm size distribution. SMEs experienced essentially no

change in credit in 2020Q1 and a contraction in 2020Q2. In contrast, firms with assets above $1 billion

as a group had an increase in credit of 44% in 2020Q1. Thus, only large firms accessed bank liquidity

in 2020Q1. The absence of any increase in debt at small firms and the overall size gradient are also

apparent in total firm debt rather than just Y-14 credit. Appendix Table A.8 replicates the table using a

balanced panel of firms with balance sheet data reported in both 2019Q4 and 2020Q1, ruling out the

possibility that unobserved debts explain these patterns.

      The evolution of credit outstanding overwhelmingly reflects differential drawdown rates on existing

credit line facilities, as shown in the right-most panel of table 10. In other words, the extensive margins

of rollover and new loans did not “bark” at the start of the recession, although the threat of non rollover

may have constrained small firms from drawing on existing lines. The lower panel makes clear that the

large drawdowns cannot be fully explained by bond market disruptions in March 2020, as drawdowns

occurred even at firms that have never accessed the bond market and commercial paper backup facilities

account for a small portion of overall activity.

      To account for covariates more formally, we estimate loan-level difference-in-difference regressions

of the utilization rate on credit lines by firm size and an indicator for 2020Q1 or 2020Q2. We focus on

drawdown rates on existing credit lines because Table 10 showed that almost all of the increase in bank


                                                     27
                                                     Table 10: Aggregate Drawdowns in $B by Firm Type, 2019Q4-2020Q2


                                                                                                                            CL Drawdowns                         CL Drawdowns
                                               Total Y-14 Credit                         Term Loans                          (all facilities)                 (pre-existing facilities)
                                         2019Q4      2020Q1       2020Q2       2019Q4      2020Q1       2020Q2       2019Q4       2020Q1      2020Q2       2019Q4       2020Q1      2020Q2

                                                                       Panel A: By Firm Size (in Assets in $mil)
      Not classified                     138.0        141.5        141.1      58.7      60.5      62.4      48.2                   51.5          46.2        44.4         48.0         39.4
      0-50                               186.3        188.6        159.7      67.5      67.7      67.1     102.4                   104.4         73.5        99.7        102.0         70.9
      50-250                             187.1        193.8        169.0      62.2      62.5      59.4     102.2                   108.9         86.0       100.8        106.9         83.6
      250-1000                           185.2        212.7        186.5      56.9      57.2      53.1     105.8                   133.1        109.6       103.4        131.4        107.3
28    1000-5000                          238.6        317.6        266.5      77.4      82.2      77.9     125.3                   199.0        151.4       124.1        197.8        149.0
      5000-                              240.2        373.4        300.1      97.9     118.2     113.3      73.6                   184.6        115.2       72.2         182.7        111.8
      Sum                                1175.3       1427.6       1222.8    420.6     448.3     433.1     557.5                   781.5        581.9       544.7        768.6        562.0
                                                                          Panel B: Other Firm Characteristics
      Bond Market Access                  332.9        503.7       407.0     125.2     146.4     139.3     129.6                   277.1        185.5       127.6        275.0        181.5
      Bond Issued March-July              95.5         169.2       124.4      36.8      45.2      39.5      28.0                   92.6         54.8        27.7         92.2         54.3
      CP Facilities                        3.2          10.1         5.4       1.1       1.7       1.6       1.8                    8.1          3.2         1.8          8.1          3.0
      Notes: The table reports the total dollar amount (in $billions) of utilized credit pooling all facilities (left-most columns), term loans (second set of columns), revolving credit
     lines only (third set of columns), and revolving credit lines of firms that had a facility open as of the previous quarter (right-most columns). The columns headered "Total
     Y-14 Credit" include non-revolving credit lines, capitalized lease obligations, and other unclassified loan types in addition to term loans and credit line drawdowns. In Panel
     B, we restrict the sample to firms that have bond market access (the firm either had a bond outstanding according to Compustat-Capital IQ in 2017Q4 or issued a bond at
     some point from 2010 through 2020 according to Mergent FISD.), firms that issued a bond in March-July 2020, and loans that have the purpose to back up a Commercial
     Paper (CP) facility.
credit occurred on these lines (see also Greenwald et al., 2020). The basic specification takes the form:


               Drawdown`,t = α` + δt +        ∑         β s [I{size class = s} × COVID] + e`,t ,         (1)
                                          s6={$0−50m}




where Drawdown`,t is the ratio of utilized over committed credit and COVID is an indicator for 2020Q1

or 2020Q2. All specifications include time and loan fixed effects. Thus, the coefficients on the interaction

terms have the interpretation of the average additional drawdown in 2020 for firms in the indicated size

class relative to small SMEs. We cluster standard errors by three-digit NAICS industry.

   Table 11 reports results. In column (1), drawdown rates rise monotonically in firm size, with the

largest size class exhibiting an incremental 14 percentage point drawdown rate in 2020. The difference

in drawdown rates between small SMEs and every other size class is highly statistically significant, as is

the difference between drawdowns at the largest firms and large SMEs. Column (2) adds an indicator

for whether the firm has issued bonds, interacted with COVID, to capture potential differences in

loan demand arising from the bond market disruptions in March 2020. The coefficient on this term

indicates a small (1.8 p.p.) additional drawdown among firms in the bond market over and above the

size gradient. Including it only modestly reduces the size gradient, indicating that disruptions in the

bond market by themselves cannot explain the differences between large and small firms, consistent

with many bond issuers leaving their credit line untouched in 2020Q1 (Darmouni and Siani, 2020).

   Column (3) replaces the time fixed effects with bank-time fixed effects to absorb differences in loan

supply across banks. Columns (4) and (5) add state-time and three- digit industry-time fixed effects,

respectively, to absorb aspects of loan demand associated with these dimensions. Collectively, these

fixed effects reduce the size gradient to a statistically significant 8.2 p.p. difference between small SMEs

and large firms. Column (6) adds controls for two measures of leverage commonly used in covenants,

debt/assets and operating income/interest expense, a measure of profitability, net income/assets, cash

over assets, and categorical variables for the internal firm rating, each interacted with COVID. These

controls slightly increase the size gradient to 9.3 p.p., echoing our finding in fact 5 that observable firm

characteristics cannot explain the pricing gradient by firm size. It also indicates that SMEs’ larger cash

holdings do not explain their lower drawdown rates.

   Column (7) explores the potential scope for loan terms to explain the differential in drawdowns. The

regression includes controls for collateral type and maturity bin, as well as their interactions with the

COVID indicator. Including loan controls reduces the size gradient by about 40%. Furthermore, the

                                                    29
                                                             Table 11: Drawdowns by Firm Size.

 Dependent variable                                                                            Drawdown Rate (in ppt)
                                                       (1)              (2)              (3)              (4)              (5)              (6)              (7)              (8)
 50-250 (in mil) × COVID                            4.1***           4.0***           3.0***           3.0***            2.2***           2.1***            0.5             0.7**
                                                     (0.7)            (0.7)             (0.7)            (0.7)            (0.7)           (0.7)            (0.4)            (0.3)
 250-1000 × COVID                                   10.5***          10.3***           8.8***           8.6***           6.7***           6.9***           3.9***           4.0***
                                                     (1.2)            (1.2)             (1.0)            (1.0)            (1.1)           (1.1)            (0.9)            (0.6)
 1000-5000 × COVID                                  13.5***          12.6***          10.8***          10.6***           8.8***           9.2***           5.4***           6.0***
                                                     (1.7)            (1.6)             (1.1)            (1.1)            (1.0)           (1.0)            (1.0)            (0.8)
 5000- × COVID                                      14.1***          12.6***          10.2***           9.9***           8.2***           9.3***           5.3***           5.0***
                                                     (2.4)            (2.1)             (1.5)            (1.5)            (1.4)           (1.4)            (1.4)            (1.2)
 Bond Market × COVID                                                  1.8*               1.6             1.6*              1.3             1.3*             0.9              0.5
                                                                      (1.0)             (1.0)            (0.9)            (0.8)            (0.8)           (0.8)            (0.8)
 Loan FE                                               Yes              Yes              Yes              Yes              Yes              Yes              Yes              Yes
 Time FE                                               Yes              Yes              No               No               No               No               No               No
 Bank-Time FE                                          No               No               Yes              Yes              Yes              Yes              Yes              Yes
 State-Time FE                                         No               No               No               Yes              Yes              Yes              Yes              Yes
 Industry-Time FE                                      No               No               No               No               Yes              Yes              Yes              Yes
 Financials                                            No               No               No               No               No               Yes              Yes              Yes
 Rating-Time FE                                        No               No               No               No               No               Yes              Yes              Yes
 Maturity Controls                                     No               No               No               No               No               No               Yes              Yes
 Collateral Controls                                   No               No               No               No               No               No               Yes              Yes
 Interest Rate Controls                                No               No               No               No               No               No               No               Yes
 Drawdown in 2019q4                                    No               No               No               No               No               No               No               Yes
 No of Firms                                        62615            62615            62615            62615           62614             60196            60195            43654
 N                                                 786188           786188           786188           786186           786156           756619           756540           549043
 R2                                                  .83              .83              .83              .83              .83              .83              .83              .83
  Notes: Results from estimating a model of the following type: Drawdown`,t = α` + δt + ∑s6={$0−50m} β s,1 [I{size class = s}] × COVID + Γ0 × X` × COVID + e`,t where Drawdown`,t
  is the ratio of utilized over committed credit and COVID is an indicator for 2020Q1 and 2020Q2. We restrict the sample to outstanding loans from 2017Q4 onwards. Bond Marketi
  indicates whether firm i has issued bonds at any point between 2010 and 2020Q2. Industry×time fixed effects are at the NAICS 3 digit level. Rating×time fixed effects are categorical
  variables for 10 internal loan rating categories. Firm financial controls are lagged debt/assets, cash and receivables/assets, net income/assets, and operating income/interest expense,
  each interacted with COVID. Maturity and collateral controls are six maturity categories (demand loans, 0-6 months, 6-12 months, 1-2 years, 2-4 years, more than 4 years) and six
  collateral classes (real restate, marketable securities, accounts receivables and inventory, fixed assets, other, and unsecured or blanket lien), each interacted with COVID. Robust
  standard errors are clustered at the three digit NAICS level in parentheses; *, **, and *** indicate significance at the 10%, 5%, and 1% level, respectively.




coefficients on the loan term controls, reported in Table A.9, are consistent with loan terms mattering.

Drawdown rates increase with maturity, while loans backed by accounts receivable and inventory (AR&I)

have lower drawdown rates than credit lines backed by blanket liens or unsecured, both consistent

with a role for the additional discretion these terms afford lenders. Delving a step further, the maturity

gradient is steeper for unsecured or blanket lien lines, as shown in Figure A.2. For SMEs, drawdown

activity is roughly 10pp higher for loans due after 2022 relative to loans due in 2020, whereas for

loans secured by specific assets, such as cash, AR&I, real estate or fixed assets, the difference is only

5pp, consistent with a complemenatry role for collateral in restricting drawdowns especially for longer

maturity loans. A similar pattern holds for larger firms, but with wider confidence intervals due to the

                                                                                          30
small number of large firms with short-maturity, secured loans.

      Finally, Table 11 column (8) additionally controls for the interest rate and the 2019Q4 utilization rate

bin, each interacted with COVID.19 The spread control absorbs differences in drawdowns resulting from

different pricing and has a positive coefficient. The ex ante drawdown controls for mechanical effects

of being close to the loan limit. The size gradient remains essentially unchanged with these controls.

Even small SMEs with unused capacity did not draw.20 Taken together, our analysis shows that SMEs

faced less access to liquidity in response to the COVID recessions and that the difference appears at

least partly explained by more restrictive maturity and collateral terms.21


5.2     Drawdowns by Firm Size and Industry Exposure

The main threat to interpreting the size gradient in drawdowns as causal evidence of loan terms

mattering is that large firms may have faced larger cash-flow shocks in the COVID recession. The

controls for industry, state, and bond market access in Table 11 already help to alleviate this concern

by removing the possibility of large firms operating in more severely impacted industries or states or

having used their credit lines solely because of the bond market turmoil in March 2020. To further

isolate credit constraints from demand factors, we now show that the sensitivity of drawdowns to

cash-flow shocks varies across the size distribution.

      We construct two measures of cash-flow shocks. Our main measure uses the percent change in

national employment in the firm’s three digit industry between 2019Q2 and 2020Q2 using data from

the Bureau of Labor Statistics Current Employment Statistics. The change in employment provides an

imperfect proxy for the demand shock to a firm, but as we will see shortly the measure lines up well

with health-related risks and can be calculated for all firms. We report robustness to using the percent

change in national sales between 2019Q2 and 2020Q2 in the firm’s three digit industry, a measure

that more closely accords with the theoretical notion of a cash-flow shock but is available only for 13

industries included in the Census Retail Sales. For both measures, we detrend by subtracting from

the 2019Q2-2020Q2 change the average Q2-to-Q2 growth rate between 2015 and 2019 and refer to the
19 Including these variables shrinks the sample somewhat since computing the spread requires a non-zero drawdown in

 2019Q4. We have verified that the sample change alone has almost no impact on the coefficients.
20 Table A.10 reports the distribution of utilization rates in 2020Q1 and 2020Q2. Comparing to table 7, the fraction of small

   SMEs with utilization below 10% fell by only 3 percentage points between 2019Q4 and 2020Q1. In contrast, the fraction of
   firms with more than $5 billion in assets with utilization below 10% fell by 25 percentage points from 2019Q4 to 2020Q1.
  These differences echo the result in column (8) that the drawdowns in 2020Q1 do not simply reflect which firms had unused
   capacity on their credit lines on paper, as even small SMEs with unused capacity did not draw.
21 One caveat is that we lack valid instruments for loan terms which are endogenously determined in conjunction with each

   other. Nevertheless, our findings are consistent with the equilibrium outcomes summarized in the model.


                                                             31
                                           75                                                                                                                                                                       75




   Avg. Change in Drawdown 2019Q4-2020Q1                                                                                                                                    Avg. Change in Drawdown 2019Q4-2020Q1
                                                                                                                                                                                                                                                                                                            Clothing and clothing accessories stores
                                           60                                                                                                                                                                       60                                                                                        Accommodation




                                                                                                                                                                                                                                                            Water transportation                            Amusements, gambling, and recreation
                                                                                                                                                                                                                                                                                        Apparel
                                           45                                                                                                                                                                       45
                                                                                                                                                                                                                                      General merchandise stores
                                                                                                                                                                                                                                                            Electronics and
                                                                                                                                                                                                                                                                         Airappliance stores
                                                                                                                                                                                                                                                                             transportation


                                                                                                                                                                                                                                                                                      Furniture
                                                                                                                                                                                                                                                                                           Food and homeand
                                                                                                                                                                                                                                                                                                services furnishings
                                                                                                                                                                                                                                                                                                            drinking stores
                                                                                                                                                                                                                                                                                                                     places

                                           30                                                                                                                                                                       30                                 Support activities for transportation
                                                                                                                                                                                                                                                                        Sporting goods, hobby, book, and music stores
                                                                                                                                                                                                                                                                                                             Performing arts and spectator sports

                                                                                                                                                                                                                                                    Construction
                                                                                                                                                                                                                                                   Ambulatory    of care
                                                                                                                                                                                                                                                                    buildings
                                                                                                                                                                                                                                                               health      services
                                                                                                                                                                                                                                    Management of companies and enterprises                              Motion picture and sound recording industries
                                                                                                                                                                                                                                                            Textile product mills
                                                                                                                                                                                                                                                                           Miscellaneous store retailers
                                                                                                                            Clothing and lothing accessories stores
                                                  Data processing, hosting and related services                                     Scenic
                                                                                                             Food services and drinking    and sightseeing transportation
                                                                                                                                        places                                                                                          Other information services

                                           15           Publishing industries, except Internet
                                                     Insurance carriers and related activities
                                                                                                                               Performing arts and spectator sports                                                 15    Building material and garden supply stores
                                                                                                                                                                                                                             Data processing, hosting and related services
                                                                                                                              Accommodation
                                                                                                                            Amusements, gambling, and recreation                                                                                              PrimaryRental
                                                                                                                                                                                                                                                                         metalsand leasing services
                                                                                                                             Motion picture and sound recording industries                                                                               Motor vehicle and parts dealers
                                                                                                                                                                                                                                  Couriers
                                                                                                                                                                                                                          Oil and gas      and messengers
                                                                                                                                                                                                                                      extraction                                         Transitfor
                                                                                                                                                                                                                                                                              Support activities and ground passenger transportation
                                                                                                                                                                                                                                                                                                    mining
                                                                                                                                                                                                                                   Electronic   Mining, and
                                                                                                                                                                                                                                              markets
                                                                                                                                                                                                                                       Nursing and      except   oil
                                                                                                                                                                                                                                                            agents
                                                                                                                                                                                                                                                     residential careand
                                                                                                                                                                                                                                                                      andgas
                                                                                                                                                                                                                                                                          brokers
                                                                                                                                                                                                                                                                       facilities
                                                      Couriers and Utilities
                                                                  messengers                                                                                                                                                                                   Rail transportation

                                            0                                               Support activities for mining
                                                                                                                                                                                                                     0


                                           -15                                                                                                                                                                      -15
                                                 -2      -1       0        1      2       3                                                                                                                               -2      -1       0        1      2       3
                                                   Abnormal Decline in Industry Employment                                                                                                                                  Abnormal Decline in Industry Employment

                                                       (a) SMEs (Assets<$250 million)                                                                                                                                           (b) Large Firms (Assets>$1 billion)

Figure 2: Exposure to COVID-shock and Credit Line Drawdowns for SMEs and Large Firms. Abnormal employ-
ment decline is the 3-digit NAICS code industry-level growth in employment between 2019Q2 and 2020Q2 less the average
Q2-to-Q2 growth in the industry between 2015 and 2019. We add linear fits with industries weighted by number of firms
per industry. Data restricted to industries with at least 10 firms per firm size category. Perimeter of hollow circles indicate
relative industry size by number of firms reporting in the Y14 within the respective size class.


resulting measure as the abnormal employment or sales change.22

                       Figure 2 plots the industry average change in drawdown between 2019Q4 and 2020Q1 against the

industry abnormal decline in employment, separately for SMEs (left panel) and firms with more than $1

billion in assets (right panel). Appendix fig. A.3 reports the corresponding plots for each of our five

size categories. Employment exposure successfully identifies industries likely to suffer in a recession

caused by risks of disease contagion; the industries with the highest exposure are scenic and sightseeing

transportation, motion picture and sound recording studios, performing arts and spectator sports,

clothing stores, gambling, accommodation, restaurants, and ground passenger transportation. Yet, SMEs

in these industries draw on their credit lines at a similar rate as SMEs in less affected industries. In

contrast, the right panel shows that firms with more than $1 billion in assets in highly exposed industries

have drawdown rates economically and statistically much higher than firms in less exposed industries.

Thus, cash-flow shocks translated into credit line drawdowns at large but not at small firms.

                       We confirm this pattern in loan-level difference-in-difference and triple-difference regressions
22 The detrending has almost no practical impact because the variation during COVID far exceeds the variation in pre-COVID

  trends. The correlation between the raw and detrended change is 0.986 for the employment measure and 0.992 for the retail
  sales measure.


                                                                                                                                                               32
   Table 12: Drawdowns by Firm Size and Exposure to COVID-19 shock: Abnormal 3-digit Industry Decline
   in Employment

    Dependent variable                                                                                Drawdown Rate (in ppt)
                                                                               (1)              (2)              (3)             (4)              (5)             (6)
    Exposure × COVID                                                           3.1             -0.4             0.8              0.9             0.9              -0.2
                                                                              (2.3)            (2.2)           (1.4)            (1.3)           (1.2)            (2.0)
    Exposure × 50-250 (in mil) × COVID                                                        3.5***          2.4***           2.2***          2.2***            1.3*
                                                                                               (1.3)           (0.8)            (0.8)           (0.7)            (0.8)
    Exposure × 250-1000 × COVID                                                               4.4**           3.3**            3.3**           3.3**              2.0
                                                                                               (2.1)           (1.6)            (1.4)           (1.3)            (1.4)
    Exposure × 1000-5000 × COVID                                                              7.2***          6.1***           6.1***          5.9***           3.9***
                                                                                               (2.2)           (1.7)            (1.5)           (1.4)            (1.3)
    Exposure × 5000- × COVID                                                                  9.5***          8.2***           8.2***          7.7***            4.6*
                                                                                               (3.2)           (2.8)            (2.7)           (2.6)            (2.4)
    50-250 (in mil) × COVID                                                                  4.6***          3.3***           3.3***          3.3***            1.1***
                                                                                               (0.5)           (0.6)            (0.6)           (0.6)            (0.3)
    250-1000 × COVID                                                                         11.3***          9.5***           9.2***          9.4***           4.8***
                                                                                               (1.2)           (1.0)            (0.9)           (1.0)            (0.8)
    1000-5000 × COVID                                                                        15.4***         13.2***          12.9***         12.5***           7.5***
                                                                                               (1.7)           (1.1)            (1.0)           (1.0)            (0.8)
    5000- × COVID                                                                            18.0***         15.1***          14.7***         14.4***           7.5***
                                                                                               (2.6)           (1.9)            (1.9)           (1.9)            (1.6)
    Loan FE                                                                    Yes             Yes              Yes              Yes             Yes              Yes
    Time FE                                                                    Yes             Yes              No               No              No               No
    Bank-Time FE                                                               No              No               Yes              Yes             Yes              Yes
    State-Time FE                                                              No              No               No               Yes             Yes              Yes
    Financials                                                                 No              No               No               No              Yes              Yes
    Rating-Time FE                                                             No              No               No               No              Yes              Yes
    Loan Terms                                                                 No              No               No               No              No               Yes
    No of Firms                                                              60117           60117            60117            60117           57781           41860
    N                                                                       756529          756529           756529           756527          727947           527452
    R2                                                                        0.83            0.83             0.83             0.83            0.83            0.83
     Notes: Results from estimating a model of the following type: Drawdown`,i,t = α` + δt + ∑s6={$0−50m} β 1,s [I{size class = s} × COVID] + β 2 Exposurei × COVID +
                                                                                                                                                                           

     ∑s6={$0−50m} β 3,s [Exposure × I{size class = s} × COVID] + e`,i,t . where Drawdown`,t is the ratio of utilized over committed credit, COVID is an indicator variable for
     2020Q1 and 2020Q2 and Exposurei is the 3-digit NAICS code industry-level growth in employment between 2019Q2 and 2020Q2 less the average Q2-to-Q2 growth in the
     industry between 2015 and 2019. We restrict the sample to outstanding loans from 2017Q4 onwards. Rating×time fixed effects are categorical variables for 10 internal loan
     rating categories. Firm financial controls are lagged debt/assets, cash and receivables/assets, net income/assets, and operating income/interest expense, each interacted
     with COVID. Loan term controls are six maturity categories (demand loans, 0-6 months, 6-12 months, 1-2 years, 2-4 years, more than 4 years), six collateral classes (real
     restate, marketable securities, accounts receivables and inventory, fixed assets, other, and unsecured or blanket lien), 5 categories of drawdown prior to COVID (<20%,
     20-40%, 40-60%, 60-80%, and >80%), and interest rate spreads, each in levels and interacted with COVID.Robust standard errors are clustered at the 3-digit NAICS industry
     level in parentheses; *, **, and *** indicate significance at the 10%, 5%, and 1% level, respectively.




summarized in Table 12. Column (1) gives the difference-in-difference effect of higher industry exposure

on drawdowns in 2020Q1, using the employment exposure measure. In this table we standardize

exposure to have unit variance, so the coefficient has the interpretation that one standard deviation

higher industry exposure results in a 3.4 percentage point higher drawdown rate in 2020Q1.




                                                                                     33
   Column (2) reports the triple-difference specification:


   Drawdown`,i,t = α` + δt +            ∑      β 1,s [I{size class = s} × COVID] + β 2 [Exposurei × COVID]
                                 s6={$0−50m}

                   +       ∑         β 3,s [Exposure × I{size class = s} × COVID] + e`,i,t .                 (2)
                       s6={$0−50m}


One standard deviation higher exposure has essentially no impact on the drawdown rate at small SMEs

and the data do not reject a marginal impact of zero. The marginal impact of higher exposure rises

monotonically in the firm-size distribution, up to a sensitivity of 9 percentage points per standard

deviation of exposure for firms with more than $5 billion of assets. The standard errors reject equality

of the coefficients in the largest and smallest size class categories at the 1% level.

   Figure 3 traces out the quarter-by-quarter dynamic responses to the specification in column (2)

for two size classes, SMEs and firms with more than $1 billion in assets. Appendix fig. A.4 reports

the corresponding plots for each of our five size categories. For each size class, the figure reports the

quarterly coefficients from estimating the specification in column (2) among firms in that size class and

interacting Exposure with each calendar quarter. There is no evidence of pre-trends, meaning that firms

in industries experiencing a larger employment decline during the COVID recession did not have either

rising or declining drawdowns in previous quarters. For SMEs, higher exposure has a small impact on

drawdowns in 2020Q1 and 2020Q2. For large firms, the impact of Exposure jumps in 2020Q1 and falls

slightly in 2020Q2.

   Returning to table 12, columns (3) to (5) show robustness to including additional covariates. Column

(3) replaces time fixed effects with bank-time fixed effects to control for differences in credit supply

across banks. The triple interaction coefficients fall slightly but a large and statistically significant size

gradient remains. Column (4) adds state-time fixed effects with little further impact. Column (5) adds

controls for firm financials, rating, and bond market access each interacted with COVID, again with

little impact.

   Column (6) adds interactions of loan terms — maturity, collateral, spread, and 2019Q4 utilization

— with Exposure and COVID. Figure A.4 in the Appendix reports the coefficients on these additional

terms and shows they generally have the same sign as in table 11, with the marginal impact of Exposure

on drawdown increasing with maturity and decreasing with collateral. Including these controls also

reduces the size gradient in the impact of Exposure, again suggesting that restrictive loan terms inhibited

the ability of firms — especially small firms — to access pre-committed credit.

                                                          34
  15                                                                                                       15




  10                                                                                                       10




  5                                                                                                        5




  0                                                                                                        0




  -5                                                                                                       -5
      q1        q2        q3        q4        q1        q2        q3        q4        q1        q2             q1        q2        q3        q4        q1        q2        q3        q4        q1        q2
  18        18        18        18        19        19        19        19        20        20             18        18        18        18         19       19        19        19        20        20
 20        20        20        20        20        20        20        20        20        20             20        20        20        20        20        20        20        20        20        20



                                     (a) <$250 million                                                                                            (b) >$1 billion

Figure 3: Dyamics of Credit Line Drawdowns for SMEs and Large Firms during the COVID Recession. The figure
plots the sequence of coefficients { β t } obtained from estimating Drawdown`,t = α` + δt + β t × Exposurei + e`,i,t , where
Drawdown`,t is the ratio of utilized to committed credit and Exposurei is the 3-digit NAICS code industry-level growth
in employment between 2019Q2 and 2020Q2 less the average Q2-to-Q2 growth in the industry between 2015 and 2019.
Coefficients are normalized to 2019Q4 and 95% confidence bands.


      Appendix Table A.11 repeats the analysis for the retail sales exposure measure. We obtain very

similar results, with exposure mattering more to larger firms. The magnitude of the gradient is similar

to the employment exposure measure but the difference loses statistical significance for the largest firms

simply because the sample of firms in retail or restaurants contains many fewer very large firms.

      To further rule out confounding shocks that operate at the industry level, table 13 reports instrumental

variable regressions that treat the employment change in 2020 as an endogenous variable. The excluded

instrument is the physical proximity requirements in the industry. Specifically, we start with the ONET

survey question "How physically close to other people are you when you perform your current job?"

and average the occupation-level responses within each industry using employment shares as weights.23

To ease interpretation, we report a cross-sectional specification with the dependent variable the change

in the loan’s drawdown rate between 2019Q4 and 2020Q1.

      The first two columns pool size classes and compare the OLS and IV coefficients. The instrument is

strong, with an effective F-statistic of 17.5.24 The IV coefficient is smaller than the OLS coefficient but

estimated with less precision and the data do not reject equality. The next several columns report the IV
23 This is question 21 in the work context module (https://www.onetcenter.org/dl_files/MS_Word/Work_Context.

   pdf). Azzimonti et al. (2020) also use this ONET question to measure exposure to COVID. The employment shares come
   from the 2018 Occupational Employment Statistics (https://www.bls.gov/oes/).
24 Montiel Olea and Pflueger (2013) introduce the effective F-statistic as the proper metric of first stage strength with non-iid

   standard errors. See Andrews et al. (2019) for further discussion. Alternatively, collapsing the data to the three digit industry
   level (unweighted), the first stage regression of employment change on this measure has an F-statistic of 20.9.



                                                                                                     35
                           Table 13: Instrumenting Industry Exposure with Physical Proximity Needs.

       Dependent variable                                                       ∆ Drawdown2020Q1−2019Q4 (in ppt)
       Estimation                              OLS                                                               2SLS
       Firm Size                                        All                  <$50           $50-$250            $250-$1000              $1000-$5000                >$5000
                                                (1)             (2)            (3)               (4)                   (5)                       (6)                  (7)
       Exposure                               3.9***           2.6            -0.8               0.9                  4.2*                    7.3***               12.8***
                                               (1.4)          (2.4)           (2.4)             (2.9)                 (2.5)                    (2.1)                (4.8)
       F-Statistic (MP)                         .           17.475          16.912            16.891                14.247                    15.684                9.745
       No of Firms                            43806         43806           29184              7195                  3488                      2403                 1536
       N                                      67081         67081           33040              9812                  7452                      8732                 8045
       Notes: This table shows results from estimating a model of the following type: ∆Drawdowni2020Q1−2019Q4 = Exposurei + eit , where ∆Drawdowni2020Q1−2019Q4 is the
       difference in firm i’s and Exposurei is the 3-digit NAICS code industry-level growth in employment between 2019Q2 and 2020Q2 less the average Q2-to-Q2 growth in the
       industry between 2015 and 2019. In column (2) through (7), we instrument Exposurei with the responses to the ONET survey question "How physically close to other
       people are you when you perform your current job?" aggregated to the industry-level. Effective F-statistic reported according to Montiel Olea and Pflueger (2013). Standard
       errors are clustered by 3-digit NAICS code.




coefficient separately by firm size class. Consistent with the results in table 12, higher industry exposure

has essentially no impact on drawdowns for the smallest firms and a monotonically increasing impact

in the size distribution, up to a marginal impact of a standard deviation of exposure of 13 percentage

points for the largest firms.

      Finally, while the lag in and infrequency of financials reporting in the Y-14 makes it difficult to

ascribe the motivation for drawdowns, survey evidence offers some clues. The Federal Reserve Senior

Loan Officer Survey asks a panel of large banks about whether and why loan demand changed. In April,

the most common responses were precautionary demand for liquidity (100% of banks experiencing an

increase in loan demand described it as very important) and a decline in internal funds (74%). In contrast,

relatively few respondents (28%) cited declines in other sources of financing and none cited increased

real investment. An increased precautionary motive, reflective of the unprecedented uncertainty at the

end of March about the course of the pandemic, and decline in internal funds, presumably due to the

wave of business shutdowns, both evoke the cash-flow shock modeled in section 3.


5.3     Bank Balance Sheets versus Economic Environment

Banks could have forced credit reductions on borrowers in 2020Q1 because of changes in the economic

outlook or in their own balance sheet capacity. In either case, these reductions would concentrate on

firms with loan terms that grant banks some discretion, namely, small firms. Nonetheless, distinguishing

between bank constraints and the outlook for firms matters centrally to policy questions such as whether

direct support to banks would pass through to small firms.

                                                                                        36
    A variety of evidence suggests that changes in the economic environment better explain the con-

striction of credit to small firms in 2020Q1. Already, a number of our specifications include bank×time

fixed effects, which rule out differences in balance sheet capacity across banks in explaining the size

gradient in credit drawdowns. Using bank balance lending data, Li et al. (2020) show that pre-crisis

financial conditions did not constrain large banks’ liquidity supply. Table A.12 confirms their results in

our loan-level data and shows that differences in capital, liquid assets or deposits across banks cannot

explain away the size gradient in drawdowns in 2020Q1. The Federal Reserve Senior Loan Officer

Survey also asks about whether and why banks tightened lending standards. According to the April

2020 Survey, while 60% of large banks tightened lending standards, less than 10 percent of respondents

said it was due to a deterioration in their current/expected capital or liquidity position. Instead, the vast

majority of banks cited a less favorable economic outlook or worsening of industry-specific problems as

very important reasons for tightening credit. Figure A.5 in the Appendix corroborates the survey results

by showing that loan-level default probabilities reported in the Y-14 rose in 2020. Importantly, default

probabilities rose across the firm size distribution, consistent with the interaction of a deteriorating

economic situation and ex ante discretion in loan terms to small firms explaining why only small firms

did not draw.

    This discussion highlights the importance of looking beyond a simple supply/demand dichotomy in

the presence of contingent contracts. It is common in empirical work in banking to trace differences in

credit to either "demand" shocks (differential need for funds across firms) or "supply" shocks (typically,

a reduction in bank lending capacity). We have just argued that neither credit demand nor bank lending

capacity can fully account for the differences in credit across the firm size distribution in 2020. Instead,

we take the view that credit lines, as opposed to simple goods, are incomplete contracts whose terms

dictate allocation of control rights in different contingencies. This incomplete contracting view explains

the differences in credit across the firm size distribution in 2020, even in the absence of clear differential

demand shocks or any large impairments in banks’ balance sheets.

    In sum, unlike the 2008 crisis that originated in capital and liquidity shortfalls on bank balance

sheets,25 the 2020 credit crunch to small firms appears to primarily reflect weaknesses in the outlook

for borrowers due to the recession and the discretion in loan terms to small firms. In that case, policy

support for liquidity to small firms requires direct subsidies, as we turn to next.
25 See among others Ivashina and Scharfstein (2010); Acharya and Mora (2015); Chodorow-Reich and Falato (2020); Ippolito

 et al. (2019).




                                                          37
              Table 14: Aggregate Drawdowns for PPP Participants by Firm Size, 2019Q4-2020Q2


                          Non-PPP Credit Outstanding ($Bil)                    PPP Amount         Repayment
 Firm assets ($mil)        2019Q4       2020Q1           2020Q2                    ($Bil)          Ratio (%)         N
 Not classified              11.4         11.5             10.8                     3.6              19.5           6857
 0-50                       101.6        103.0             79.5                    32.8              71.7          38508
 50-250                      68.9         69.7             57.1                    11.5             109.0           5055
 250-1000                    22.0         23.7             20.4                     1.6             201.2            935
 1000-5000                   11.2         16.6             12.3                     0.3            1431.3            248
 5000-                        7.8         12.5              9.6                     0.1            2268.8            110
 Sum                        222.7        237.0            189.7                    50.0              94.7          51713
 Notes: The table reports the total dollar amount (in $B) of non-PPP credit outstanding (left-most three columns), total PPP
funds received, and the ratio of the change in credit outstanding between 2020Q1 and 2020Q2 to PPP funds received for the
PPP recipients identified in the Y-14.


5.4     Paycheck Protection Program

The Paycheck Protection Program (PPP) was established in the CARES Act and signed into law on

March 27, 2020, with the first loans signed on April 3, 2020. The program offered term loans of an

amount equal to 2.5 months payroll (capped at $10 million) with minimum maturity of 2 (later increased

to 5) years and a maximum interest rate of 4% (later set to 1%) to firms with less than 500 employees or

satisfying certain other eligibility criteria. In addition, firms that maintained expenses over an 8 week

period (later extended to 24 weeks) covering payroll costs, interest on mortgages, rent, and utilities in

excess of the loan amount, and where payroll costs absorbed at least 75% of the loan amount (later

lowered to 60%), could have the loan forgiven. More than 5 million borrowers received PPP loans. In

response to a Freedom of Information request, the Small Business Administration made available a file

containing the names, addresses, and loan amounts of all PPP recipients. We "hand" match this file to

the Y-14 data using the borrower’s name and address.

      Table 14 reports the non-PPP loan balances for the firms we can identify as PPP recipients as well

as the PPP amount. We identify 51,713 current Y-14 borrowers as PPP recipients. Consistent with the

eligibility rules for program participation, 97% of the PPP loans to Y-14 borrowers with non-missing

assets go to SMEs, with the vast majority going to small SMEs.

      SMEs that took PPP loans had no net increase in their credit line utilization in 2020Q1, similar to

other SMEs.26 However, these firms account for a disproportionately large share of loan repayments in
26 In Appendix table A.13 we project PPP take-up on several firm and loan characterstics. Firms that obtained PPP loans were

 in more exposed industries (based on our employment exposure measure), had shorter maturity credit lines, and were more
 likely to have posted AR&I collateral. Li and Strahan (2020) highlight the role of banking relationships in accessing PPP
 funds.


                                                            38
        .3
                                                                       .1


                                                                       .08
        .2

                                                                      Density
  Density
                                                                   .04   .06
        .1

                                                                       .02


        0                                                              0
             -100      -50        0        50        100                    -100      -50        0        50        100
             Drawdown Rate 2019Q4 - Drawdown Rate 2020Q1                    Drawdown Rate 2020Q1 - Drawdown Rate 2020Q2

                         PPP Participants            No PPP                           PPP Participants            No PPP


            (a) Drawdown Rate Change from 2019Q4 to 20120Q1               (b) Drawdown Rate Change from 2020Q1 to 2020Q2

                                     Figure 4: Kernel Density of Drawdowns at Small SMEs


2020Q2. Total credit outstanding to small SMEs fell by $28.9 billion in 2020Q2 (see table 10). Borrowers

we match to the PPP file contribute 81% of this decline, despite accounting for only 54% of the 2020Q1

outstanding. This likely understates the overall contribution of PPP firms, since there may be "type-II"

errors of firms we fail to match because of spelling errors or other abnormalities. A similar pattern

holds for large SMEs.

     Figure 4 shows that PPP recipients were more likely than other firms to repay non-PPP credit

in 2020Q2. The figure displays kernel density plots of the change in utilized credit at small SMEs,

separately by PPP receipt. The densities for 2020Q1 in the left panel appear indistinguishable. In

contrast, the right panel clearly shows a higher repayment propensity at PPP recipients.

     We can calculate the ratio of aggregate non-PPP bank debt repayments to PPP disbursements among

Y-14 PPP recipients. For small SME recipients, debt repayments equal 72% of the PPP disbursement.

The ratio exceeds 100% for large SMEs, and pooling across all firms non-PPP credit fell by an amount

equal to 95% of the PPP disbursement. While the smaller pass-through to debt repayment among

small SMEs is consistent with their having more unmet liquidity needs pre-PPP, the high absolute

pass-through may seem surprising. One explanation is that the precautionary demand for cash in

2020Q1 subsided somewhat in 2020Q2 as overall uncertainty lessened. In any case, these results indicate

that the government-sponsored provision of PPP funds substantially if not totally counteracted the


                                                              39
credit constraints that prevented eligible SMEs from drawing down private credit lines in 2020Q1.27



6      Conclusion

Smaller borrowers sign loan contracts with stricter terms that leave substantial discretion to the lender

in providing funds. As a result, bank liquidity in bad times flows toward larger borrowers.

      Our evidence does not show that small firms never access bank liquidity, nor that large firms always

can. In fact, using the same regulatory dataset, Brown et al. (2020) find that small firms extensively

draw on their credit lines to weather idiosyncratic cash-flow shocks in “normal” times. A literature

analyzing covenant violations by large firms finds that their credit lines are not fully committed either

(Sufi, 2009). These patterns reveal the complex economics behind bank liquidity provision to firms and

that the tightness of financial constraints varies with the size and nature of the shock. Nevertheless, it

is clear that credit available “on paper” in good times can severely overstate what firms can actually

access in bad times, and especially so for small firms.

      We have laid out a set of facts and patterns to encourage future work toward a unifying theory

of loan terms. While our simple framework emphasizes a choice between commitment and discretion

which rationalizes cross-sectional differences in access to bank liquidity, there are a number of other

forces that could enrich the analysis. These include how different loan terms best target specific frictions

or borrower types, the role of borrower misbehavior and incentive constraints, and the possibility of

creditor conflict when drawdowns from one bank may be used to repay another. We have not featured

these last two forces because our analysis of the COVID episode mostly concerns the consequences

of a large external shock to small borrowers, most of whom have one or two bank creditors. In other

circumstances, they would prove more important.

      It would also be fruitful to study the implications of these frictions on firm dynamics and industrial

organization. Large firms not only enjoy better access to liquidity insurance, they also can more easily

substitute to nonbank sources of liquidity. Hence, small firms are more likely to face costly options to

manage their liquidity in bad times, including reduced investment, self insurance, downsizing, or exit.

We leave these questions to further research.




27 Consistent with a substantial part of PPP being used to strengthen firms’ balance sheets, Granja et al. (2020) and Chetty et al.

    (2020) provide evidence that the program did not have an immediate impact on payrolls. Bartlett and Morse (2020) find a
    positive impact of PPP but only at smaller firms than are in our data.


                                                               40
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                                                 48
Bank Liquidity Provision Across the Firm Size Distribution
                    Online Appendix
 Appendix A: Additional Tables

 Appendix B: Additional Figures

 Appendix C: Proofs and Model Extensions

 Appendix D: Loan Terms at Regional Banks

 Appendix E: Loan Terms at Firms in Compustat




                                           49
A   Additional Tables




                        50
                                                           Table A.1: Comparing Y-9C and Y14 Aggregate Credit in $B

      Dataset                                             2019q4                                          2020q1                                         2020q2
      Description                     Comm.       Util.    No. Banks     No. Obs      Comm.       Util.    No. Banks     No. Obs     Comm.       Util.    No. Banks     No. Obs
      Y-9C All Banks:
      All Loans                         4,608     2,254       350                      4,627     2,565        349                      4,833     2,573       345
      C&I                               3,805     1,705       345                      3,826     2,015        345                      4,039     2,022       341
       Of which: > 1m                   3,533     1,449       347                      3,552     1,753        346                      3,611     1,623       343
      Real estate-backed                 631       377        340                       633       381         340                       626       382        337
       Of which: > 1m                    496       242        341                       501       249         341                       494       250        338
      Other Leases                       126       126        120                       125       125         129                       123       123        129
      Agricultural                        46        46        247                        44       44          245                        46       46         244
      Y-9C Final Sample:
      All Loans                         3,536     1,557        29                      3,533     1,829         29                      3,608     1,733        29
      C&I                               3,124     1,274        29                      3,125     1,549         29                      3,207     1,457        29
       Of which: > 1m                   2,959     1,109        29                      2,959     1,383         29                      2,961     1,211        29
51    Real estate-backed                 298       169         29                       298       169          29                       293       169         29
       Of which: > 1m                    249       119         29                       249       121          29                       246       122         29
      Other Leases                       101       101         26                        99       99           26                        96       96          26
      Agricultural                        13        13         22                        12       12           22                        11       11          22
      Y-14Q Original Aggregate          4,613     1,997        32         270748       4,639     2,348         32         266749       4,624     2,073        32         267384
      Y-14Q H1 Final Sample:
      All Loans                         2,772     1,175        29         171034       2,796     1,428         29         169699       2,750     1,223        29         170892
      C&I                               2,585     1,006        29         126921       2,610     1,260         29         126015       2,561     1,052        29         125236
      Real estate-backed                 117       110         28         31846         118       111          28         31842         123       116         28         33997
      Other Leases                       56        51          25         10092         54        49           25          9784         52        47          25          9685
      Agricultural                       14         8          20          2175         14         7           20          2058         13         7          20          1974
      Notes: This table reports the aggregate amount of committed and utilized bank credit in the FR-Y9C and the FR-Y14 H1 in the quarter reported in the header. The rows
     under the header "Y-9C All Banks" contain all loans listed in Y-9C schedule HC-C item 4.a (C&I loans to U.S. addresses), item 1.e(1) (loans secured by owner-occupied
     nonfarm nonresidential properties), item 10.b (other leases), or item 3 (loans to finance agricultural production). The rows labeled "Of which: > 1m" restrict to loans with
     commitments above $1 million using the Call Report small business lending schedule RC-C Part II. The rows under the header "Y-9C Final Sample" restrict to banks in our
     final Y-14 sample. The row labeled "Y-14Q Original Aggregate" contains all loans in the Y-14 Schedule H-1, including to borrowers in finance, insurance, and real estate
     (NAICS 52, 5312, or 551111) and from banks not in our final balanced sample that report consistently through 2020Q2. The rows under the header "Y-14Q Final Sample"
     contain our final sample of loans from a consistent panel of banks and corresponding to the four schedule HC-C items listed above.
Table A.2: Frequency of Borrower Financial Updates Controlling for Loan Characteris-
tics.

 Dependent variable                 Financials Indicator                         Audit Indicator
                                  (1)           (2)           (3)          (4)          (5)         (6)
 <50m                          0.41***                                  0.24***
                               (0.001)                                  (0.001)
 50-250m                       0.49***       0.07***       0.07***      0.25***      0.02***      0.02***
                               (0.003)       (0.002)       (0.002)      (0.002)      (0.002)      (0.002)
 250m-1bn                      0.49***       0.09***       0.09***      0.30***      0.07***      0.06***
                               (0.004)       (0.003)       (0.003)      (0.003)      (0.003)      (0.003)
 1-5bn                         0.56***       0.12***       0.13***      0.39***      0.13***      0.13***
                               (0.004)       (0.003)       (0.003)      (0.003)      (0.003)      (0.003)
 >5bn                          0.62***       0.13***       0.16***      0.44***      0.16***      0.15***
                               (0.004)       (0.003)       (0.004)      (0.004)      (0.003)      (0.004)
 Bank-Time FE                    No            Yes           Yes           No          Yes          Yes
 Industry-Time FE                No            No            Yes           No          No           Yes
 Rating-Time FE                  No            No            Yes           No          No           Yes
 Loan Controls                   No            No            Yes           No          No           Yes
 No of Loans                   142209        142090         141989       91252       91233         91208
 N                            1077566       1076699        1076107      633202       632968       632823
 R2                             .023          .407           .411         .027        .367          .371
  Notes: Regresses an indicator for updated reported financials in last two quarters (Col. 1-3) and reported
  audited financials in last two quarters (Col. 4-6) on various controls. Loan controls include maturity
  indicators, and collateral indicators. Sample is 2015Q1-2019Q4. Excludes bank-quarters that rarely report
  audit dates. Robust standard errors are clustered at the firm level in parentheses; *, **, and *** indicate
  significance at the 10%, 5%, and 1% level, respectively.




                                                      52
                              Table A.3: Median Volatility Across the Firm Size Distribution

 Standard deviation:          Revenue growth             EBITDA/Assets            Net income/Assets              Stock return
                            Raw Demeaned Raw Demeaned Raw                                   Demeaned Raw Demeaned
                             (1)      (2)      (3)      (4)      (5)                           (6)      (7)      (8)
 Constant                   0.28∗∗   0.25∗∗   0.16∗∗   0.16∗∗   0.19∗∗                        0.24∗∗   0.17∗∗   0.17∗∗
                           (0.01)   (0.01)   (0.01)   (0.01)   (0.02)                        (0.03)   (0.01)   (0.01)
 50-250                    −0.05∗∗ −0.05∗∗ −0.06∗∗ −0.06∗∗ −0.08∗∗                           −0.13∗∗ −0.03+ −0.03∗
                           (0.02)   (0.02)   (0.01)   (0.01)   (0.02)                        (0.03)   (0.01)   (0.01)
 250-1000                  −0.10 ∗∗ −0.11 ∗∗ −0.09 ∗∗ −0.09 ∗∗ −0.12∗∗                       −0.16 ∗∗ −0.05 ∗∗ −0.05∗∗
                           (0.02)   (0.01)   (0.01)   (0.01)   (0.02)                        (0.03)   (0.01)   (0.01)
 1000-5000                 −0.11 ∗∗ −0.11 ∗∗ −0.10 ∗∗ −0.11 ∗∗ −0.14∗∗                       −0.18 ∗∗ −0.07 ∗∗ −0.08∗∗
                           (0.01)   (0.01)   (0.01)   (0.01)   (0.02)                        (0.03)   (0.01)   (0.01)
 5000+                     −0.13∗∗ −0.12∗∗ −0.11∗∗ −0.12∗∗ −0.15∗∗                           −0.19∗∗ −0.09∗∗ −0.09∗∗
                           (0.01)   (0.01)   (0.01)   (0.01)   (0.02)                        (0.03)   (0.01)   (0.01)
 Observations               2,077    2,039    2,027    1,989    2,077                         2,039    1,125    1,125

 Notes: Each column reports the coefficients from a quantile regression on a constant and indicators for four size bins, in
millions of dollars. Thus, the coefficient in the first row gives the median standard deviation of the variable indicated in
the column header for firms with less than $50 million in assets, and the subsequent rows give the difference in the median
standard deviation between firms with less than $50 million in assets and firms in the size category indicated in the first
column. The sample in columns (1)-(6) is a balanced panel of Compustat firms over fiscal years 1995-2015, excluding firms
in finance (NAICS 52, 5312, or 551111) or with non-positive revenue or assets in any year. All Compustat variables are
deflated using the GDP price index. The sample in columns (7)-(8) is the subset of these firms with non-missing stock return
information in all months between 1995 and 2015, using the WRDS CRSP-Compustat link. The dependent variable in columns
(1), (3), (5), and (7) is the raw standard deviation over the 1995-2015 period. The dependent variable in columns (1), (3) and (5)
is the standard deviation after first demeaning the variable with respect to industry (NAICS 4)-year. The dependent variable
in column (8) is the standard deviation of the excess return over the CRSP value-weighted index. Robust standard errors in
parentheses.




                                                               53
           Table A.4: Distribution of Collateral Use by Industry and Facility Type, December 31, 2019


  Collateral                                              Real              AR &      Fixed             Blanket
    Type                                                 Estate   Cash    Inventory   Assets    Other    Lien      Unsecured   Obs.

  Assets (mil.)
                                                                               Panel A: Revolving Credit Lines
  11: Agriculture, Forestry, Fishing, Hunting              .016    .015      .47        .062    .081         .28     .079      1436
  21: Mining, Quarrying, Oil, Gas.                         .017    .037      .35        .051     .26         .11      .18      2196
  22: Utilities                                          .00098    .032     .035        .016    .095        .088      .73      2047
  23: Construction                                         .013    .027      .33        .053    .062         .38      .13      3789
  31-33: Manufacturing                                      .01     .02      .36        .037    .066         .27      .24      14953
  42: Wholesale Trade                                      .011    .013       .5        .021     .04         .33     .093      9634
  44-45: Retail Trade                                      .028   .0082      .67        .012    .028         .15      .11      7092
  48-49: Transportation and Warehousing                    .017    .019      .26         .11    .082         .26      .25      2466
  51: Information                                         .0049    .038      .23        .016     .12         .32      .27      2060
  53: Real Estate and Rental and Leasing                   .045     .06      .17        .097    .081         .11      .44      2173
  54: Professional, Scientific, and Technical Services     .004    .023      .36         .01     .06         .41      .14      4968
  55: Management of Companies and Enterprises              .014     .13      .23        .014    .037          .3       .3       296
  56: Administrative ...                                  .0088    .029      .35        .028    .087          .4      .11      1931
  61: Educational Services                                 .098    .037      .22        .018     .18         .34      .12       164
  62: Health Care and Social Assistance                    .055     .03      .32        .022    .087          .4       .1      1546
  71: Arts, Entertainment, and Recreation                  .042    .053       .2         .12     .16         .31      .11       813
  72: Accommodation and Food Services                      .051    .042      .17        .044      .2         .32      .18      1083
  81: Other Services                                       .063     .06      .27        .026    .078         .32      .18       464
                                                                                      Panel B: Term Loans
  11: Agriculture, Forestry, Fishing, Hunting               .2     .027      .13         .42     .088       .097     .033       331
  21: Mining, Quarrying, Oil, Gas.                        .085    .0073      .22         .34     .075        .18     .087       412
  22: Utilities                                           .035     .082     .078         .26     .078         .2      .27       548
  23: Construction                                         .24      .01       .1         .41     .026        .18     .045      1904
  31-33: Manufacturing                                     .23     .013      .13         .23     .044        .24      .12      8449
  42: Wholesale Trade                                      .38    .0073      .12         .16     .033        .25     .055      3849
  44-45: Retail Trade                                      .48    .0046      .24        .044     .013        .18     .044      5713
  48-49: Transportation and Warehousing                    .13    .0018     .054         .64     .039       .087     .047      3267
  51: Information                                          .11     .024      .14         .14       .1        .36      .13      1157
  53: Real Estate and Rental and Leasing                   .57    .0067     .023         .15      .03        .16     .067      5711
  54: Professional, Scientific, and Technical Services     .23     .011      .16         .12     .051        .36     .081      2083
  55: Management of Companies and Enterprises              .55    .0096     .046        .099    .0096        .22     .065       415
  56: Administrative ...                                   .23    .0078      .15         .21      .04        .31     .061       895
  61: Educational Services                                 .61     .017     .042        .047     .038        .22     .025       236
  62: Health Care and Social Assistance                    .38     .011      .11         .11     .051        .29     .058      2322
  71: Arts, Entertainment, and Recreation                  .38     .029     .071         .21     .059        .21     .036       984
  72: Accommodation and Food Services                       .2     .015     .071        .057     .066        .57     .029      2552
  81: Other Services                                       .64     .013     .034        .055     .021         .2      .05       776
 Notes: The table reports the fraction of loan commitments to each industry with the type of collateral indicated in the table
header. The sample includes all loans in the Y-14 corporate loan schedule as of 2019Q4. We exclude from this table any
industry with fewer than 40 loans in our sample as of December 31, 2019.




                                                                    54
                                                                Table A.5: Collateral Usage in Credit Lines by Firms Size and Industry.

     Dependent variable               AR+Inventory                      Real Estate                    Fixed Assets                               Cash                            Other              Blanket Lien                 Unsecured
                                                                                                                                           Credit Lines
                                      (1)             (2)             (3)             (4)             (5)                 (6)               (7)            (8)              (9)           (10)     (11)         (12)            (13)      (14)
     50-250 (in mil)              -0.105***       -0.049***        0.005*           0.004         0.029***          0.024***            0.011***        0.008***       0.026***      0.014***    -0.053***   -0.082***       0.089***   0.083***
                                   (0.007)         (0.007)         (0.002)         (0.002)          (0.003)           (0.003)            (0.002)         (0.002)        (0.003)       (0.003)     (0.006)     (0.006)         (0.004)    (0.004)
     250-1000 (in mil)            -0.198***       -0.107***        -0.004*        -0.007***        0.026***          0.017***           0.028***        0.022***       0.039***      0.016***    -0.089***   -0.134***       0.201***   0.195***
                                   (0.009)         (0.009)         (0.002)         (0.002)          (0.004)           (0.004)            (0.003)         (0.003)        (0.004)       (0.004)     (0.007)     (0.007)         (0.008)    (0.008)
     1000-5000 (in mil)           -0.259***       -0.156***       -0.012***       -0.014***         0.007*             -0.001           0.029***        0.022***       0.054***      0.026***    -0.144***   -0.191***       0.325***   0.315***
                                   (0.009)         (0.009)         (0.001)         (0.002)          (0.003)           (0.003)            (0.003)         (0.003)        (0.004)       (0.004)     (0.007)     (0.008)         (0.012)    (0.012)
     >5000 (in mil)               -0.451***       -0.330***       -0.015***       -0.017***       -0.015***         -0.024***           0.006**          -0.000        0.025***       -0.001     -0.239***   -0.281***       0.686***   0.652***
                                   (0.008)         (0.011)         (0.001)         (0.001)          (0.002)           (0.003)            (0.002)         (0.002)        (0.004)       (0.005)     (0.006)     (0.008)         (0.014)    (0.016)
     Industry FE                      No              Yes             No              Yes             No                Yes                 No             Yes              No            Yes      No            Yes            No        Yes
     No of Firms                    40602           40602            40602          40602           40602              40602              40602          40602             40602      40602       40602        40602          40602      40602
     N                              60559           60559            60559          60559           60559              60559              60559          60559             60559      60559       60559        60559          60559      60559
     R2                             0.097           0.208            0.003          0.009           0.006              0.023              0.007          0.016             0.007      0.032       0.036        0.100          0.331      0.351
                                                                                                                                           Term Loans
55
                                      (1)             (2)             (3)             (4)             (5)                 (6)               (7)            (8)              (9)           (10)     (11)         (12)            (13)      (14)
     50-250 (in mil)               0.015*          0.016*         -0.204***       -0.188***       0.191***           0.140***           0.006**         0.007***       0.014***      0.017***     -0.026**     0.002           0.000      0.002
                                   (0.006)         (0.006)         (0.009)         (0.008)         (0.011)            (0.009)            (0.002)         (0.002)        (0.003)       (0.003)      (0.008)    (0.007)         (0.002)    (0.003)
     250-1000 (in mil)              0.002           0.012         -0.308***       -0.290***       0.253***           0.187***           0.015***        0.016***       0.023***      0.024***      -0.022      0.012         0.035***   0.037***
                                   (0.008)         (0.008)         (0.011)         (0.012)         (0.021)            (0.018)            (0.003)         (0.003)        (0.005)       (0.005)      (0.013)    (0.011)         (0.006)    (0.006)
     1000-5000 (in mil)            0.026*          0.024*         -0.373***       -0.341***       0.054**              0.022            0.026***        0.026***       0.052***      0.050***       0.006      0.017         0.204***   0.199***
                                   (0.011)         (0.012)         (0.010)         (0.010)         (0.018)            (0.016)            (0.005)         (0.005)        (0.007)       (0.007)      (0.018)    (0.018)         (0.019)    (0.019)
     >5000 (in mil)               -0.036***       -0.040***       -0.421***       -0.375***       0.056**              0.031            0.013***        0.011**        0.046***      0.041***    -0.086***   -0.087***       0.424***   0.416***
                                   (0.009)         (0.011)         (0.006)         (0.009)         (0.017)            (0.018)            (0.004)         (0.004)        (0.007)       (0.008)      (0.017)    (0.018)         (0.028)    (0.029)
     Industry FE                      No              Yes             No              Yes             No                Yes                 No             Yes              No            Yes      No            Yes            No        Yes
     No of Firms                    20690           20690            20690          20690           20690              20690              20690          20690             20690      20690       20690        20690          20690      20690
     N                              31591           31591            31591          31591           31591              31591              31591          31591             31591      31591       31591        31591          31591      31591
     R2                             0.002           0.047            0.115          0.188           0.056              0.209              0.006          0.011             0.008      0.017       0.003        0.084          0.203      0.212
     Notes: Results from estimating a model of the following type:

                                                                                             collateral class` =      ∑         β j I{size class = j} + Industry FE + e`
                                                                                                                   j6={$0-50}


     where post-2020Q1 is a dummy that is one after 2020Q1. Data for 2019Q4. Robust standard errors are clustered at the bank level in parentheses; *, **, and *** indicate significance at the 10%, 5%, and 1% level, respectively.
                          Table A.6: Distribution of Cash / Assets by Firm as of December 31, 2019


Firm Size                                                      Cash / Assets
(Assets in Millions)            10st           25th            Mean            Median           75th             90th        Firms in
                          Percentile      Percentile                                       Percentile       Percentile       Category
<50                              0.3             2.1            12.9              7.6            17.4              32.4         19,274
50-250                           0.1             1.1             9.0              4.5            12.5              23.4          5,360
250-1000                         0.2             1.2             8.8              3.5            10.5              23.0          2,385
1000-5000                        0.3             0.9             6.7              3.1             8.1              16.4          1,774
5000-                            0.2             0.9             6.2              3.0             7.5              15.4          1,329



     Notes: The table reports the distribution of individual borrowers’ cash and equivalents divided by total assets with financial
     reporting available as of December 31, 2019. For firms matched to Compustat, cash and equivalents and total assets are
     sourced from Compustat financials.




                                Table A.7: Pricing of Revolving Credit Lines and Market Concentration.

      Dependent variable                                                    Interest Rate (in bp)
      Sample                           All Revol. Cl.     HHI>p50        HHI<p50        HHI>p50         HHI<p50       New Relationship
      50-250 (in mil)                     -35.6***          -52.6***      -28.9***       -43.6***       -35.0***            -10.8**
                                           (1.648)          (2.812)       (1.916)        (4.215)         (1.775)            (5.239)
      250-1000 (in mil)                   -36.0***          -56.2***      -31.5***       -48.9***       -34.5***               9.2
                                           (2.828)          (5.030)       (3.151)        (6.293)         (3.100)            (7.816)
      1000-5000 (in mil)                  -61.6***          -79.2***      -57.9***       -58.7***       -62.4***            -30.5**
                                           (2.715)          (6.918)       (2.877)        (6.166)         (2.965)           (13.072)
      >5000 (in mil)                      -84.7***         -110.4***      -78.9***       -99.1***       -83.2***            -28.1**
                                           (4.481)         (15.485)       (4.652)        (9.442)         (4.997)           (13.307)
      HHI Data Source                       None              Y-14          Y-14          SOD             SOD                None
      Avg. Sample HHI                        .176             .369          .113           .408            .148              .156
      Median County HHI                      .181             .181          .181           .275            .275              .181
      Reference-Rate-Time FE                  Yes              Yes           Yes            Yes             Yes                Yes
      Industry-Time FE                        Yes              Yes           Yes            Yes             Yes                Yes
      Bank-Time FE                            Yes              Yes           Yes            Yes             Yes                Yes
      Rating-Time FE                          Yes              Yes           Yes            Yes             Yes                Yes
      Firm Financial Controls                 Yes              Yes           Yes            Yes             Yes                Yes
      Loan Term Controls                      No               No            No             No              No                 No
      No. Firms                             38683            10009         30276           5531           33329              5531
      No. Obs                             123613             30452         92533          15807         103307               6167
      R2                                     .547             .649          .535           .664            .541               .678
        Notes: Results from estimating a model of the following type: Interest`,t = ∑s6={$0−50m} β 1,s I{size class = s} + Γ0 Xt + e`,t where
        Interest`,i,b,t is the interest on facility ` from bank b to firm i at time t. The sample contains originations and renewals between
        2015Q1 and 2019Q4. Industry×time fixed effects are at the NAICS 3-digit level. Rating×time fixed effects are categorical variables
        for 10 internal loan rating categories. Firm financial controls are debt/assets, cash and receivables/assets, net income/assets, and
        operating income/interest expense. Robust standard errors are clustered at the firm level in parentheses; *, **, and *** indicate
        significance at the 10%, 5%, and 1% level, respectively.




                                                                  56
               Table A.8: Total Debt Increase between December 31, 2019 and March 31, 2020

                                           2019q4                                   2020q1
             Firm Size        Debt       Bk. Loan       No. Obs        Debt        Bk. Loan      No. Obs
             <50              30.91         26.47         3062         31.04         26.07          3062
             50-250           43.14         29.50          867        44.28         28.07            867
             250-1000        127.18         45.63          577        129.48         49.42          577
             1000-5000       655.08        123.72         665         685.42        146.19           665
             5000-          2,590.25       156.26         526        2,665.65       232.25          526
Notes: This table represents the change in total debt for a balanced panel of firms that for which financial information is available as
of Dec. 31, 2019 and March 31, 2020. Financial information is sourced from Compustat, where available, and the FR Y-14Q Schedule
H1 otherwise. Total debt represents the sum of long-term and short-term debt. Bank loans represent the global commitment of
banking credit.




                                                           57
              Table A.9: Drawdowns by Firm Size: Details on Maturity, Collateral, and Interest Rate Controls

                                             Dependent Variable                                       Drawdown Rate (in ppt)
                                                                                                          (1)        (2)
                                             Demand Loans × COVID                                     -4.3***    -2.3***
                                                                                                        (0.5)      (0.8)
                                             1-6 month × COVID                                           0.0        0.0
                                                                                                          (.)        (.)
                                             6-12 month × COVID                                        0.8**       0.6*
                                                                                                        (0.4)      (0.4)
                                             1-2 years × COVID                                         2.2**       1.7**
                                                                                                        (0.8)      (0.7)
                                             2-4 years × COVID                                         6.1***     4.1***
                                                                                                        (1.3)      (1.0)
                                             More than 4 years × COVID                                7.4***      5.4***
                                                                                                        (1.3)      (0.9)
                                             Real Estate × COVID                                        -1.2        0.0
                                                                                                        (1.4)      (1.1)
                                             Cash × COVID                                               -0.8       -0.6
                                                                                                        (0.6)      (0.5)
                                             AR+Inventory × COVID                                     -2.1***    -1.3***
                                                                                                        (0.4)      (0.3)
                                             Fixed Assets × COVID                                       -0.6       -0.2
                                                                                                        (0.6)      (0.6)
                                             Other × COVID                                               -0.2       -0.2
                                                                                                        (0.7)      (0.7)
                                             Unsecured × COVID                                           0.0        0.0
                                                                                                          (.)        (.)
                                             Spread × COVID                                                     215.6***
                                                                                                                  (81.5)
                                             20-40% Drawdown 2019Q4 × COVID                                        -1.5
                                                                                                                   (2.5)
                                             40-60% Drawdown 2019Q4 × COVID                                        -2.0
                                                                                                                   (4.1)
                                             60-80% Drawdown 2019Q4 × COVID                                      -15.3**
                                                                                                                   (6.5)
                                             80-100% Drawdown 2019Q4 × COVID                                     -6.8***
                                                                                                                   (1.0)
                                             Loan FE                                                    Yes                Yes
                                             Time FE                                                    No                 No
                                             Bank-Time FE                                               Yes                Yes
                                             State-Time FE                                              Yes                Yes
                                             Industry-Time FE                                           Yes                Yes
                                             Financials                                                 Yes                Yes
                                             Rating-Time FE                                             Yes                Yes
                                             Maturity Controls                                          Yes                Yes
                                             Collateral Controls                                        Yes                Yes
                                             Interest Rate Controls                                     No                 Yes
                                             Drawdown in 2019q4                                         No                 Yes
                                             No of Firms                                              60195              43654
                                             N                                                        756540             549043
                                             R2                                                         .83                .83
Notes: Results from estimating a model of the following type: Drawdown`,t = α` + δt + ∑s6={$0−50m} β s,1 [I{size class = s}] × COVID + Γ0 × X` × COVID + e`,t where Drawdown`,t is the ratio of
utilized over committed credit and COVID is an indicator for 2020Q1 and 2020Q2. We restrict the sample to outstanding loans from 2017Q4 onwards. Industry×time fixed effects are at the NAICS
3 digit level. Rating×time fixed effects are categorical variables for 10 internal loan rating categories. Firm financial controls are lagged debt/assets, cash and receivables/assets, net income/assets,
and operating income/interest expense, each interacted with COVID. Maturity and collateral controls are six maturity categories (demand loans, 0-6 months, 6-12 months, 1-2 years, 2-4 years, more
than 4 years) and six collateral classes (real restate, marketable securities, accounts receivables and inventory, fixed assets, other, and unsecured or blanket lien), each interacted with COVID. Robust
standard errors are clustered at the three digit NAICS level in parentheses; *, **, and *** indicate significance at the 10%, 5%, and 1% level, respectively.




                                                                                        58
               Table A.10: Drawdown of Revolving Credit Lines by Firm Size, 2020Q1 and 2020Q2


                                                  Utilization/Commitment
                                                   10− 30− 50−             70−
                      Assets (mil.)     < 10%      30% 50% 70%             90%     > 90%       Obs.
                                                   Panel A: 2020Q1
                      0-50                 .3      .087 .12      .15        .14      .19      36391
                      50-250              .29      .095 .12      .16        .15      .18      10803
                      250-1000            .27        .1   .14    .17        .16      .16       8132
                      1000-5000           .28       .16   .15    .14        .12      .15      9473
                      >5000               .53       .12 .094 .078          .044      .14      8688
                                                    Panel B: 2020Q2
                      0-50                .41       .11   .16    .12       .071      .13      35073
                      50-250              .37       .12   .15    .14       .092      .14      10796
                      250-1000            .34       .12   .15    .13         .1      .15       8220
                      1000-5000            .4       .15   .13    .11       .068      .14       9563
                      >5000               .67      .084 .057 .041          .024      .12      9021
 Notes: The table reports the distribution of drawn credit as a share of total commitments. The distribution is reported for
2020Q1 and 2020Q2. Observations report the number of loans in each size category in 2020Q1 and 2020Q2, respectively.




                                                            59
Table A.11: Drawdowns by Firm Size and Exposure to COVID-19 shock: Abnormal 3-digit Industry
Decline in Sales.

 Dependent variable                                                                                       Drawdown Rate (in ppt)
                                                                                  (1)               (2)               (3)          (4)              (5)              (6)
 Exposure × COVID                                                              11.0**             6.3*              5.0*          5.1**          4.8**            -5.5***
                                                                                (4.0)             (3.5)             (2.4)          (2.2)          (2.0)             (1.7)
 Exposure × 50-250 (in mil) × COVID                                                              5.4***            4.9***         5.1***         5.2***              1.2
                                                                                                  (1.2)             (1.2)          (1.1)          (1.2)             (2.0)
 Exposure × 250-1000 × COVID                                                                       2.8             3.5**          3.5**          3.6**               1.6
                                                                                                  (2.1)             (1.4)          (1.3)          (1.4)             (2.1)
 Exposure × 1000-5000 × COVID                                                                      6.8             7.9**          7.8**          7.9**               4.4
                                                                                                  (4.0)             (3.2)          (3.1)          (3.1)             (3.8)
 Exposure × 5000- × COVID                                                                          8.5               9.9            9.3            9.7               7.5
                                                                                                  (7.7)             (6.8)          (6.5)          (6.2)             (6.1)
 50-250 (in mil) × COVID                                                                         3.4**             2.3**          2.2**          2.2**               0.5
                                                                                                  (1.5)             (0.8)          (0.8)          (0.9)             (0.7)
 250-1000 × COVID                                                                                6.5**             5.2**          4.7**          4.9**               0.9
                                                                                                  (2.6)             (1.8)          (1.8)          (1.8)             (0.9)
 1000-5000 × COVID                                                                              17.8***           16.0***        15.7***        15.6***            8.6***
                                                                                                  (3.9)             (3.1)          (3.0)          (2.8)             (2.1)
 5000- × COVID                                                                                  28.9***           25.1***        25.7***        25.6***           16.2**
                                                                                                  (6.7)             (6.5)          (6.4)          (6.3)             (5.4)
 Loan FE                                                                          Yes              Yes               Yes          Yes              Yes              Yes
 Time FE                                                                          Yes              Yes               No           No               No               No
 Bank-Time FE                                                                     No               No                Yes          Yes              Yes              Yes
 State-Time FE                                                                    No               No                No           Yes              Yes              Yes
 Financials                                                                       No               No                No           No               Yes              Yes
 Rating-Time FE                                                                   No               No                No           No               Yes              Yes
 Loan Terms                                                                       No               No                No           No               No               Yes
 No of Firms                                                                   14591             14591             14591          14591          13484            9196
 N                                                                            184903            184903            184892         184891         168344           124123
 R2                                                                             0.81              0.81              0.81           0.82           0.83            0.81
 Notes: Results from estimating a model of the following type:


                                                                         ∑       β 1,s [I{size class = s} × COVID] + β 2 Exposurei × COVID
                                                                                                                                          
                                     Drawdown`,i,t = α` + δt +
                                                                  s6={$0−50m}

                                                     +       ∑         β 3,s [Exposure × I{size class = s} × COVID] + e`,i,t .
                                                         s6={$0−50m}


 where Drawdown`,t is the ratio of utilized over committed credit, COVID is an indicator variable for 2020Q1 and 2020Q2 and Exposurei is the 3-digit NAICS code
 industry-level growth in sales between 2019Q2 and 2020Q2 less the average Q2-to-Q2 growth in the industry between 2015 and 2019. Financial controls include leverage
 (total debt / assets), interest coverage (operating income / interest expense), return on assets (net income / assets), access to cash (cash and receivables / assets), and
 whether the borrower is active in the bond market. Loan term controls include maturity, collateral type, interest rate spread and drawdown levels in 2019q4. For loan term
 controls, we consider 6 maturity class categories (demand loans, 0-6 months, 6-12 months, 1-2 years, 2-4 years, more than 4 years), 6 types of collateral classes (real restate,
 marketable securities, accounts receivables and inventory, fixed assets, other, and unsecured or blanket lien), 5 categories of drawdown prior to COVID (<20%, 20-40%,
 40-60%, 60-80%, and >80%), and interest rate spreads; we allow effects of these controls to vary pre- and post-COVID shock. We restrict the sample to outstanding loans
 from 2017Q4 onwards. Sales data only avaiable for retail sales and restaurants. Robust standard errors are clustered at the 3-digit NAICS industry level in parentheses; *,
 **, and *** indicate significance at the 10%, 5%, and 1% level, respectively.




                                                                                        60
Table A.12: Drawdowns by Firm Size Category - Controlling for Bank Balance Sheet Constraints

 Dependent Variable
     Drawdown Rate (in ppt)
 BANK Variable                                                            N/A             CET1 > p50                  Liq. > p50           Fund. > p50
                                                                            (1)                    (2)                     (3)                    (4)
 BANK × COVID                                                                                   2.5*                        2.0                 -1.0
                                                                                                (1.2)                     (1.2)                (1.0)
 BANK × 50-250 (in mil) × COVID                                                                  -1.5                   -5.3***                 2.4
                                                                                                (1.5)                     (1.3)                (1.9)
 BANK × 250-1000 × COVID                                                                        4.1*                     -4.3**                 1.8
                                                                                                (2.0)                     (1.9)                (2.3)
 BANK × 1000-5000 × COVID                                                                        3.0                       -0.6                  0.2
                                                                                                (2.0)                     (1.6)                (1.7)
 BANK × 5000- × COVID                                                                            1.1                       -1.2                  0.6
                                                                                                (1.8)                     (1.4)                (1.3)
 50-250 (in mil) × COVID                                                 3.9**                 4.5***                    6.8***                2.4**
                                                                         (1.6)                  (1.5)                     (1.2)                (0.9)
 250-1000 × COVID                                                       10.2***                9.5***                   12.4***               8.9***
                                                                         (1.9)                  (1.6)                     (1.7)                (1.7)
 1000-5000 × COVID                                                      12.7***                11.6***                  12.4***               12.0***
                                                                         (1.6)                  (1.4)                     (1.5)                (1.6)
 5000- × COVID                                                          13.9***                13.6***                  14.7***               13.9***
                                                                         (1.6)                  (1.6)                     (1.7)                (1.4)
 Median BANK Value                                                       N/A                   11.797                   29.175                43.285
 Bank FE                                                                  Yes                    Yes                      Yes                   Yes
 Time FE                                                                  Yes                    Yes                      Yes                   Yes
 Firm Financials Controls                                                 No                     Yes                      Yes                   Yes
 Rating-Time FE                                                           No                     Yes                      Yes                   Yes
 Loan FE                                                                  Yes                    Yes                      Yes                   Yes
 Loan Term Controls                                                       No                     No                       No                    No
 Interest Rate Spread                                                     No                     No                       No                    No
 No. Firms                                                              55129                  49739                    49739                 49739
 No. Obs                                                                727616                 593074                   593074                593074
 R2                                                                      .819                   .826                     .826                  .826
 Notes: Results from estimating a model of the following type:



                               Drawdown`,i,t = α` + δt + γi +          ∑         β 1,s [I{size class = s} × COVID] + β 2 [BANKi × COVID]
                                                                   s6={$0−50m}

                                              +       ∑         β 3,s [BANK × I{size class = s} × COVID] + e`,i,t .
                                                  s6={$0−50m}


 where Drawdown`,i,t is the ratio of utilized over committed credit on loan ` at time t by bank i, COVID is an indicator variable for observations in and after
 2020Q1 and BANKi represents the relevant bank balance sheet constraint from the prior quarter. Bank balance sheet constraints include discrete variables
 indicating whether a bank has above median CET1 ratio (CET1 / RWA), Liquid Assets, or Core Deposits in a given quarter t compared to other banks in the
 sample, in columns (2), (3), and (4), respectively. Median BANK Value indicates the average median value for the relevant bank balance sheet constraint. For the
 purposes of this analysis, we excluded all loans held at banks that are U.S. subsidiaries of foreign banks. Robust standard errors are clustered at the bank-level
 in parentheses; *, **, and *** indicate significance at the 10%, 5%, and 1% level, respectively.




                                                                                   61
                 Table A.13: PPP Participation and COVID Exposure and Loan Terms.

Sample                                     <250                 0-50             50-250                 <250                 0-50              50-250
Dependent variable                                                                PPP Participation
                                             (1)                 (2)                 (3)                  (4)                 (5)                 (6)
Exposure                                0.030***            0.028***            0.028***            0.018***              0.017***            0.018**
                                         (0.004)            (0.005)              (0.007)             (0.004)               (0.005)            (0.007)
log(Assets)                             -0.055***           0.041***            -0.232***           -0.036***             0.042***           -0.196***
                                         (0.002)            (0.003)              (0.010)             (0.002)               (0.003)            (0.010)
Drawdown 2020Q1                                                                                      0.014*                 -0.008            0.115***
                                                                                                     (0.006)               (0.007)             (0.013)
Demand Loans                                                                                        0.064***              0.061***            0.082***
                                                                                                     (0.008)               (0.008)             (0.021)
6-12 month                                                                                          -0.050***            -0.047***              0.011
                                                                                                     (0.008)               (0.009)             (0.024)
1-2 years                                                                                             -0.014               -0.009              -0.029
                                                                                                     (0.008)               (0.009)             (0.023)
2-4 years                                                                                           -0.062***            -0.043***           -0.074***
                                                                                                     (0.009)               (0.011)             (0.021)
More than 4 years                                                                                   -0.196***            -0.146***           -0.141***
                                                                                                     (0.011)               (0.015)             (0.021)
Real Estate                                                                                         -0.060***            -0.105***             -0.013
                                                                                                     (0.017)               (0.020)             (0.033)
Cash                                                                                                -0.162***            -0.204***             -0.034
                                                                                                     (0.019)               (0.024)             (0.031)
AR+Inventory                                                                                        0.081***              0.055***            0.107***
                                                                                                     (0.005)               (0.006)             (0.011)
Fixed Assets                                                                                        0.111***              0.057***            0.181***
                                                                                                     (0.013)               (0.016)             (0.021)
Other                                                                                                 -0.008               -0.021               0.023
                                                                                                     (0.011)               (0.012)             (0.020)
No of Firms                                36656              29350                7370                36399               29098                7365
N                                          43060              33393                9667                42796               33135                9661
R2                                         0.020              0.007                0.049               0.061               0.033                0.109
Notes: This tables shows results from estimating a model of the following type:

                                                   PPP Participationi,t = α` + δt + β t × Exposurei + e`,i,t


Robust standard errors are clustered at the three digits NAICS industry level in parentheses; *, **, and *** indicate significance at the 10%, 5%, and 1% level,
respectively.




                                                                           62
B                                            Additional Figures




                                                                                                            Delta log(Coll.) Interaction Coeffecient
                     .8




  Delta log(Coll.) Interaction Coeffecient




                                                                                                                    0           .5         1         1.5
  0         .2          .4        .6


                                                                                                                                 -.5
                                              <$50m    $50-$250m $250m-$1bn        $1-$5bn     >$5bn                                                       Other    Cash    Blanket Fixed Assets    A/R     Real Estate
                                                                  Asset Size                                                                                                  Collateral Type


                                                                  (a)                                                                                                          (b)

                     .8                                                                                                          1




  Delta log(Coll.) Interaction Coeffecient                                                                  Delta log(Coll.) Interaction Coeffecient




       0        .2        .4       .6                                                                       0                     .5


                     -.2
                                              <10%    10-30%   30-50%     50-70%      70-90%    >90%                                                       <10%    10-30%   30-50%     50-70%      70-90%     >90%
                                                                   Util./Coll.                                                                                                  Util./Coll.


                                                                  (c)                                                                                                          (d)

Figure A.1: The figures above plot coefficients estimated using a loan-level panel regression of the change in the
log of utilization on the change in log collateral values in the presence of various controls: ∆ ln Utilization`,t =
∑s β s [I{size class = s} × ∆ ln Collateral value`,t ] + Γ0 X`,t + e`,t . Indicator interactions are used to recover elasticities
for sub-samples of loans. Controls include bank-time, industry-time, and rating-time fixed effects, as well as uninteracted
indicator variables and the change in the log of commitment size. The sample period is 2015Q1 to 2020Q1. Figures plot the
elasticity of utilization to collateral, β, for each sub-sample interaction and the 95% confidence interval. Panel (a) interacts
plots elasticities by firm size bin, Panel (b) by collateral type, and Panels (c) and (d) with the percent of utilization relative to
collateral value. Panel (d) restricts the sample to loans collateralized by accounts receivable. Standard errors are clustered by
firm.




                                                                                                       63
                                     Cash, AR, Inventory
                         Real Estate, Fixed Assets, Other
                   Unsecured/Blanket Lien x Due in 2021
                   Unsecured/Blanket Lien x Due in 2022
                Unsecured/Blanket Lien x Due after 2022
                       Cash, AR, Inventory x Due in 2021
                       Cash, AR, Inventory x Due in 2022
                    Cash, AR, Inventory x Due after 2022
          Real Estate, Fixed Assets, Other x Due in 2021
          Real Estate, Fixed Assets, Other x Due in 2022
        Real Estate, Fixed Assets, Other x Due after 2022

                                                            -15   -10                   10    15    20    25
                                                                          -5   0   5


                                                                        Assets<$250M    Assets>$1B



Figure A.2: Coefficients on Maturity and Collateral for drawdowns in Q1. Cross-section regression. Industry, Bank,
and Rating, Controls: Financials.




                                                       64
                                               80                                                                                                                                                                      80                                                                                                                                                                         80




       Avg. Change in Drawdown 2019Q4-2020Q1                                                                                                                                   Avg. Change in Drawdown 2019Q4-2020Q1                                                                                                                                      Avg. Change in Drawdown 2019Q4-2020Q1
                                               70                                                                                                                                                                      70                                                                                                                                                                         70

                                               60                                                                                                                                                                      60                                                                                                                                                                         60

                                               50                                                                                                                                                                      50                                                                                                                                                                         50

                                               40                                                                                   Clothing and clothing accessories stores
                                                                                                                                    Accommodation                                                                      40                                                                                                                                                                         40
                                                                   General merchandise stores
                                                                                                    Air transportation                                                                                                                                                                                                                                                     Data processing, hosting and related services

                                               30                                       Water transportation
                                                           Insurance carriers and related activities
                                                                                                                                Performing gambling,
                                                                                                                                            arts and spectator sports
                                                                                                                                                                                                                       30                                                                                                                                                                         30
                                                                                                                              Amusements,              and recreation
                                                                                                                Food services and drinking places                                                                                                                                                                                                                                                                                                                                                    Clothing and clothing accessories stores
                                               20         Other information services
                                                                                                                       Apparel
                                                                                                    Sporting goods, hobby, book, and music stores
                                                                                                             Furniture and home furnishings
                                                                                                                                   Scenic andstores
                                                                                                                                               sightseeing transportation
                                                                                                                                                                                                                       20                                                                                   Scenic and sightseeing transportation
                                                                                                                                                                                                                                                                                                           Clothing places
                                                                                                                                                                                                                                                                                         Food services and drinking and clothing accessories stores                                               20                                                                    Food services and drinking places
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Amusements, gambling, and recreation
                                                      Data processing, hosting and related services                                                                                                                                                                                                                                                                                                                                                                                            Performing arts and spectator sports
                                                                                                                                                                                                                              Data Other
                                                                                                                                                                                                                                   processing, hosting and
                                                                                                                                                                                                                                         information       related services
                                                                                                                                                                                                                                                     services                                            Accommodation
                                                                                                                              Motion picture and sound recording industries                                                                                                                                                                                                                                                                                                  Apparel

                                               10      Building material andextraction
                                                                             garden supply stores
                                                                                                                                                                                                                       10                                                                              Performing
                                                                                                                                                                                                                                                                            Sporting goods, hobby, book, and music arts and spectator sports
                                                                                                                                                                                                                                                                                                                   stores
                                                                                                                                                                                                                                                                                                       Motion picture and sound recording industries
                                                                                                                                                                                                                                                                                                                                                                                                  10                                                                                         Accommodation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     Furniture and home furnishings
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             Motion stores
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    picture and sound recording industries
                                                                                                                                                                                                                                                                                                                                                                                                                                                          Sporting goods, hobby, book, and music stores
                                                       Couriers andand gas
                                                                Oil messengers                             Transit and ground passenger transportation
                                                                                                       Support activities for mining                                                                                                    Oil and gas extraction                        Furniture
                                                                                                                                                                                                                                                                                    Transit andand  home
                                                                                                                                                                                                                                                                                                ground    furnishings stores
                                                                                                                                                                                                                                                                                                       Amusements,
                                                                                                                                                                                                                                                                                                        passenger    gambling,  and recreation
                                                                                                                                                                                                                                                                                                                   transportation                                                 Building Oil
                                                                                                                                                                                                                                                                                                                                                                                           material and  garden supply stores
                                                                                                                                                                                                                               Building material and garden supply stores                                                                                                                      and gas extraction
                                                                                                                                                                                                                                                       Utilities  Primary
                                                                                                                                                                                                                                                          Motor vehicle andmetals
                                                                                                                                                                                                                                                                            parts dealers       Apparel                                                                                                                                                   Support activities for mining
                                                                                                                                                                                                                                                                                                                                                                                                                                                                   Transit and   ground passenger transportation
                                                0                                                                                                                                                                       0      Couriers and messengers
                                                                                                                                                                                                                                                                 Water transportation
                                                                                                                                                                                                                                                                               Support activities for mining
                                                                                                                                                                                                                                                                                                                                                                                                   0             Utilities
                                                                                                                                                                                                                                                                                                                                                                                                                    Mining, except oil and gas
                                                                                                                                                                                                                                                                                                                                                                                                    Food and beverage stores


                                               -10                                                                                                                                                                     -10                                                                                                                                                                        -10

                                               -20                                                                                                                                                                     -20                                                                                                                                                                        -20

                                               -30                                                                                                                                                                     -30                                                                                                                                                                        -30
                                                     -20               0          20        40                                                                 60                                                            -20               0          20        40                                                                   60                                                                     0          10       20      30    40                                                             50
                                                                   Decline in Industry Employment                                                                                                                                          Decline in Industry Employment                                                                                                                                               Decline in Industry Employment


                                                                              (a) All Firms                                                                                                                                                       (b) <$50 million                                                                                                                                                       (c) $50 - 250 million

                                                                                                                                                                                                                                                                                                                                                                                                                                            Water transportation

65                                             80                                                                                                                                                                      80                                                                                                                                                                         80




       Avg. Change in Drawdown 2019Q4-2020Q1                                                                                                                                   Avg. Change in Drawdown 2019Q4-2020Q1                                                                                                                                      Avg. Change in Drawdown 2019Q4-2020Q1
                                               70                                                                                                                                                                      70                                                                                                                                                                         70
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Clothing and clothing accessories stores


                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Accommodation

                                               60                                                                                                                                                                      60                                                                                                                                                                         60
                                                                                                                                                                                                                                                        Health and personal care stores          Apparel
                                               50                                                                                                                                                                      50                                                                                 Clothing and clothing accessories stores
                                                                                                                                                                                                                                                                                                          Accommodation
                                                                                                                                                                                                                                                                                                       Amusements,  gambling, and recreation                                                      50                                             Electronics and appliance stores
                                                                                                                                                                                                                                                                                                                                                                                                                                                                               Apparel
                                                                                                                                                                                                                                                                                                                                                                                                                                                          Air transportation
                                               40                                                                                  Performing arts and spectator sports
                                                                                                                                                                                                                       40                   General merchandise stores                                     Performing arts and spectator sports                                                   40                     General merchandise
                                                                                                                                                                                                                                                                                                                                                                                                                               Nonmetallic    storesproducts
                                                                                                                                                                                                                                                                                                                                                                                                                                           mineral
                                                                                                                                                                                                                                                                                                                                                                                                                                 Support activities for Sporting goods, hobby, book, and music stores
                                                                                                                                                                                                                                                                                                                                                                                                                                                        transportation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Amusements,
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Food services and           gambling, and recreation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      drinking places
                                                                                                                              Amusements, gambling, and recreation                                                                                                                        Food services and drinking places                                                                                                      Construction of buildings
                                                                                                                                                                                                                                                                  Electronics and appliance    stores
                                                                                                                                                                                                                                                                                        Furniture and home furnishings stores
                                               30                   General merchandise stores               Furniture and home Clothing
                                                                                                                               furnishings stores
                                                                                                                                         and
                                                                            Ambulatory health care services Food services and drinking places
                                                                                                                                              clothing accessories stores                                              30                              Broadcasting,
                                                                                                                                                                                                                                                            Administrative
                                                                                                                                                                                                                                   Other information services
                                                                                                                                                                                                                                                                     exceptandInternet
                                                                                                                                                                                                                                                                                  support services
                                                                                                                                                                                                                                                             Furniture and related products
                                                                                                                                                                                                                                                      Support activities for transportation
                                                                                                                                                                                                                                                 Plastics and rubber
                                                                                                                                                                                                                                                      Petroleum       products
                                                                                                                                                                                                                                                                 and coal  products                                                                                                               30                  Food and beverage stores
                                                                                                                                                                                                                                                                                                                                                                                                                                 Fabricated metal products equipment
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Motion picture and sound recording industries
                                                                                   Furniture  and and
                                                                                  Administrative   related products
                                                                                                        support services                                                                                                                             Ambulatory   health
                                                                                                                                                                                                                                                            Printing and careSporting  goods,
                                                                                                                                                                                                                                                                                 Miscellaneous
                                                                                                                                                                                                                                                                                services
                                                                                                                                                                                                                                                                          related  support     hobby,
                                                                                                                                                                                                                                                                                                store book,
                                                                                                                                                                                                                                                                                            activities        and music stores
                                                                                                                                                                                                                                                                                                       retailers                                                                                                                              Transportation
                                                                             Petroleum  and
                                                                                   Printing  coalrelated
                                                                                            and   products
                                                                                                         support activities                                                                                                                    Paper and paper products                                                                                                                                                  Electrical
                                                                                                                                                                                                                                                                                                                                                                                                                    Management      equipment and
                                                                                                                                                                                                                                                                                                                                                                                                                                of companies   and enterprises
                                                                                                                                                                                                                                                                                                                                                                                                                                                   appliances
                                                                                          Textile product mills                                                                                                                Building material and garden supply stores                                                                                                                                                 WarehousingWoodand storage
                                                                                                                                                                                                                                                                                                                                                                                                                                           products
                                                                                                                                                                                                                                                                                                          Motion picture and sound recording industries
                                               20          Other information services               SportingTransit
                                                                                                             goods,and ground
                                                                                                                    hobby,    passenger
                                                                                                                           book, and    transportation
                                                                                                                                     music stores                                                                      20                                                                                                                                                                         20
                                                       Building material and garden supply stores                                   Accommodation                                                                                                                                                                                                                                                                                                                                        Performing arts and spectator sports
                                                      Data processing, hosting and related services                                                                                                                                                                                                                                                                                                        Data processing, hosting and related services
                                                                                                                         Apparel
                                               10                                                                             Motion picture and sound recording industries                                            10     Data processing, hosting and related services
                                                                                                                                                                                                                                                                                                                                                                                                  10        Building Oil
                                                                                                                                                                                                                                                                                                                                                                                                                     material and garden
                                                                                                                                                                                                                                                                                                                                                                                                                         and gas          supply stores
                                                                                                                                                                                                                                                                                                                                                                                                                                 extraction                   Support activities for mining

                                                                                                                                                                                                                                                                                Support activities for mining                                                                                                 Otherand
                                                                                                                                                                                                                                                                                                                                                                                                           Couriers information services
                                                                                                                                                                                                                                                                                                                                                                                                                       messengers
                                                                                                      Support activities for mining                                                                                                     Oil and gas extraction
                                                               Oil and gas extraction
                                                                                   Educational services
                                                0                                                                                                                                                                       0
                                                                                                                                                                                                                                                                                                                                                                                                                                       Nonstore retailers
                                                                               Utilities                                                                                                                                                                                                                                                                                                           0
                                                                 Food and beverage stores
                                                                      Warehousing and storage
                                               -10                                                                                                                                                                     -10                                                                                                                                                                        -10                             Gasoline stations




                                               -20                                                                                                                                                                     -20                                                                                                                                                                        -20

                                               -30                                                                                                                                                                     -30                                                                                                                                                                        -30
                                                     -20               0          20        40                                                                 60                                                            -20               0          20        40                                                                   60                                                             -20                 0          20        40                                                                  60
                                                                   Decline in Industry Employment                                                                                                                                          Decline in Industry Employment                                                                                                                                               Decline in Industry Employment


                                                                  (d) $250-1000 million                                                                                                                                                             (e) $1-5 billion                                                                                                                                                              (f) >$5 billion

     Figure A.3: Industry COVID Exposure and Credit Line Drawdowns by Firm Size. 3-digit NAICS code industry-level. Average change in credit line drawdown
     from 2019Q4 through 2020Q1. Employment growth between 2019Q2 and 2020Q2 less the Q2-to-Q2 average between 2015 and 2019. Linear fit with industries weighted
     by number of firms per industry. Data restricted to industries with at least 10 firms per firm size category. Perimeter of hollow circles indicate relative industry size by
     number of firms reporting in the Y14 within the respective size class.
  15                                                                                                       15




  10                                                                                                       10



                                                                                                           5
  5


                                                                                                           0
  0


                                                                                                           -5
  -5
      q1        q2        q3        q4        q1        q2        q3        q4        q1        q2             q1        q2        q3        q4        q1        q2        q3        q4        q1        q2
  18        18        18        18        19        19        19        19        20        20             18        18        18        18        19        19        19        19        20        20
 20        20        20        20        20        20        20        20        20        20             20        20        20        20        20        20        20        20        20        20



                                         (a) All Firms                                                                                        (b) <$50 million

  15                                                                                                       15




  10                                                                                                       10




  5                                                                                                        5




  0                                                                                                        0




  -5                                                                                                       -5
      q1        q2        q3        q4        q1        q2        q3        q4        q1        q2             q1        q2        q3        q4        q1        q2        q3        q4        q1        q2
  18        18        18        18        19        19        19        19        20        20             18        18        18        18        19        19        19        19        20        20
 20        20        20        20        20        20        20        20        20        20             20        20        20        20        20        20        20        20        20        20



                                    (c) $50 - 250 million                                                                                (d) $250-1000 million

  15                                                                                                       15




  10                                                                                                       10



  5                                                                                                        5




  0                                                                                                        0




  -5                                                                                                       -5
      q1        q2        q3        q4        q1        q2        q3        q4        q1        q2             q1        q2        q3        q4        q1        q2        q3        q4        q1        q2
  18        18        18        18        19        19        19        19        20        20             18        18        18        18        19        19        19        19        20        20
 20        20        20        20        20        20        20        20        20        20             20        20        20        20        20        20        20        20        20        20



                                      (e) $1-5 billion                                                                                            (f) >$5 billion

Figure A.4: Industry COVID Exposure and Credit Line Drawdowns by Firm Size. The figure plots the sequence of
coefficients { β t } obtained from estimating Drawdown`,t = α` + δt + β t × Exposurei + e`,i,t , where Drawdown`,t is the
ratio of utilized to committed credit and Exposurei is the 3-digit NAICS code industry-level employment growth between
2019Q2 and 2020Q2 less the Q2-to-Q2 average between 2015 and 2019. 95% confidence bands.


                                                                                                     66
                         (a) Mean                                                   (b) Median

Figure A.5: The figures display the mean and median Probability of Default (PD) values by firm size category over time.
Mean and median PD values are based on bank model estimates for borrower PDs, for banks that are required to follow
advanced internal ratings based (IRB) approaches, or the corresponding PD based on the borrower’s Obligor Risk Rating,
for other banks. PD values were adjusted to ensure reporting on a scale of 0-100%. A PD of 100% represent a defaulted
borrower. The vertical bar represents 2019q4 (pre-COVID).




                                                          67
C     Proofs and Model Extensions

C.1   Proofs

In order to get close form solutions, assume that e can take three values {−e, 0, e} with probability

{q, 1 − 2q, q} respectively. The equilibrium contract with discretion is characterized by four regions
defined by how large the cash-flow shock ρ is. Two of these are "dominance" regions in the sense that

monitoring is not worth it:

    • Region 1 (very small shock): ρ < θ (z − e). In that case, ρ is so small that lender wants to continue

      even in the worst case scenario (θ (z − e) − ρ > 0). There is thus no value in learning.

    • Region 4 (very large shock): ρ > θ (z + e). In that case, ρ is so large that lender wants to reject even

      in the best case scenario (θ (z + e) − ρ < 0). Again, there is no value in learning.

    This shows monitoring can only occur for intermediate values of ρ ∈ [ρ, ρ]. Intuitively, this range is

larger if (i) monitoring costs are low, (ii) there is significant uncertainty e over terminal values ("option

value of learning"). In fact, we will see that in the three-values case, the magnitude of e relative to

monitoring costs ξ characterizes the equilibrium cutoffs [ρ, ρ]. To determine these cutoffs, we consider

the two other regions in which monitoring is not clearly dominated.

    • Region 2 (moderately small shock): θ (z − e) < ρ < θz. In that case, lender wants to continue in all

      states except the worst case scenario e = −e. That occurs with probability q.

    For a cash-flow shock of that size, the lender’s optimal choice is derived as follows. If they do not

monitor, their expected payoff is θz − ρ which is positive in this region. Without monitoring, the lender

thus accepts to grant funds and their expected payoff is V N = θz − ρ. If they monitor, they will accept

in all cases expect if e = −e. The expected payoff of monitoring is thus:


                               V M = θz − ρ + q[ρ − (θ (z − e)] −        ξ
                                     | {z } |        {z       }         |{z}
                                        VN        Option value      Monitoring cost


Comparing the two implies that the lender monitors only if the shock is large enough. Intuitively, the

option value of learning grows with the size of the shock ρ: low shocks are not alarming enough to

justify incurring monitoring costs. Formally, that determines the lower cutoff ρ:


                                 V M > V N ⇐⇒ ρ > ρ := θ (z − e) + ξ/q

                                                     68
A necessary condition for this monitoring solution is that e − ξ/θq > 0 (otherwise ρ is outside of Region

2). Intuitively, there must be enough uncertainty relative to monitoring costs. If this condition is violated,

the lender never monitors and always accepts in this region (rubber stamping).

   The analysis of the last region follows very closely the one of Region 2:


   • Region 3 (moderately large shock): θz < ρ < θ (z + e). In that case, lender wants to continue only

      in the best case scenario e = e. That occurs with probability q.


If they do not monitor, their expected payoff is θz − ρ which is negative in this region. Without

monitoring, the lender thus reject and their expected payoff is V N = 0. If they monitor, they will accept

only if e = e. The expected payoff of monitoring is thus:


                                V M = |{z}
                                       0 + q[θ (z + e) − ρ] −        ξ
                                           |      {z      }         |{z}
                                        VN       Option value   Monitoring cost


Comparing the two implies that the lender monitors only if the shock is low enough. Intuitively, the

option value of learning decreases with the size of the shock ρ: high shocks are too alarming to justify

incurring monitoring costs. Formally, that determines the higher cutoff ρ:


                                 V M > V N ⇐⇒ ρ < ρ := θ (z + e) − ξ/q


The condition for this monitoring solution is the same as in Region 2: e − ξ/θq > 0 (otherwise ρ is

outside of Region 3). There must be enough uncertainty relative to monitoring costs. If this condition is

violated, the lender never monitors and always rejects in this region (blind rejections).

   Moreover, the optimal choice of committed credit lines versus giving lender discretion varies in the

cross-section of firms. Note first that for some borrowers giving the lender discretion increases credit
                                                                                               µ−θz
limit (on paper). To see this compare the credit limit with commitment ρ̂ = µ + σh−1 (          σ ) and the

maximum draw-down that can occur with discretion ρ = θz + (θe − ξ/q):


                                                                        µ − θz
                             ρ̂ < ρ ⇐⇒ θe − ξ/q > µ − θz + σh−1 (              )
                                                                          σ

   This condition holds if uncertainty e over terminal values is sufficiently high. For these borrowers,

the option value of discretion is particularly high: there is a lot to potentially learn through monitoring.

   Of course, a higher credit limit on paper will not necessarily be honored when the lender has


                                                      69
discretion. Borrower’s and total surplus are determined by the probability of continuation at t = 1
across all realizations of (p,e). Without discretion this probability is F(6). With discretion, this

probability is:

P(continuation) = F(p)+(1—4q) [F(62) — F(p)| +q|F(p) — F(@z)|

= q lo (A@—*) +@ (e—*)| + (1 —2q)® (S=*). (A.1)

This probability increases with uncertainty e as long as yw > @z. In other words, the value of

discretion comes from a combination of (i) uncertainty over asset values (ii) large liquidity risk relative

to pleageable assets.

C.2 Policy Intervention

Ex-post subsidy: We first consider the effect of direct lending subsidy through the lens of the model.
Suppose that the lender receives a transfer s > 0 for each loan made at t = 1 (equivalently, it is
transferred to the borrower and is fully pleageable). It is actually straightforward to solve for the effect
of this subsidy on the monitoring equilibrium at t = 1. Indeed, a subsidy is isomorphic to increasing
expected terminal values to 0z + s. The equilibrium structure is preserved: the lender monitors in a
region [o(s),@(s)] with:

p(s) = s+0(z—e) +6/q

p(s) :=s+0(z +e) —¢/q

The subsidy shifts all cutoffs to the right by s. The implications for credit are as follows: (i) there is
more lending in the new equilibrium but still a lot of monitoring and rejections; (ii) the cost of raising
the amount of guaranteed credit by $1 is exactly $1 (0(s) increases one-for-one with s); (iii) committed
credit lines are not renegotiated upwards unless the subsidy is large enough (s > 6 — 62).

Ex-ante subsidy: If the subsidy is put in place at tf = 0, it now not only influence the monitoring game,
but also the size of committed credit lines and the choice of borrower between the two. We have seen
above how s > 0 changes the properties of contracts with discretion. Here we thus examine the effect of
committed credit lines and then on borrower choice.

The subsidy naturally boosts committed credit lines. The borrower and lender know that they will

receive s unless the firm is terminated at t = 1. The equilibrium condition that determines credit limit is

70
                                                                                        −1 ( µ−θz−s ). Since h−1 is
                   R ρ̂(s)
thus amended to     −∞ θz + s − ρdF ( ρ ) = 0, which implies that: ρ̂ ( s ) = µ + σh           σ

decreasing, we can see that ρ̂(s) increases with the subsidy level s. Moreover, just as in the case above,

one can see that a subsidy s is isomorphic to a larger level of expected terminal values θz + s.

   How does the subsidy impact borrower’s choice of commitment versus discretion? The subsidy tilts

the trade-off toward committed credit lines, and hence can help to alleviate the effect of a large liquidity

shock. To see this, recall that in laissez-faire one condition for discretion to be preferred is that terminal

values are low relative to expected liquidity shock. Since the subsidy is equivalent to an increase in

terminal values, it makes committed credit lines relatively more attractive.

   Guarantees: In practice, loan guarantees are a common form of intervention to support lending

markets. Through the lens of the model, we model a guarantee as a pair ( g, f ) capturing a guarantee

level and a guarantee fee. Taking up the guarantee implies that the lender’s payoff at t = 2 is at least g, at

an upfront cost f . Guaranteeing the downside shares some similarity with giving a subsidy. The lender’s

expected payoff at t = 2 given the guarantee level is given by E[max{θ (z + e), g}] = θz + s(θ, z, g, e, q),

for some function s() that depends on firm’s characteristics.

   Consider first the effect on committed credit lines. If it takes up the guarantee program, the lender’s

participation constraint is given by:

                                Z ρ̂( g, f )
                                               θz + s(θ, z, g, e, q) − f −ρdF (ρ) = 0
                                  −∞                |        {z        }
                                                      effective subsidy


This expression makes clear the first two effects of the guarantee program: (i) There is selective take-up:

only firms for which the protection from downside risk out weights the fee choose to participate. For a

given fee f this favor participation from riskier firms with more downside, differently from the subsidy

that would be taken up by all firms. (ii) There is an expected fiscal cost of the program: indeed only firms

for which there is an effective subsidy s(θ, z, g, e, q) − f > 0 participate. This is because pleageability

constraints θ and lenders’ participation constraints still have to hold. This cost is a general feature of

models of public interventions with voluntary participation (Tirole, 2012; Philippon and Skreta, 2012;

Philippon and Schnabl, 2013). On a loan-by-loan basis, the public sector loses money, which can in

principle be justified by the externalities of liquidation on other parts of the economy.

   Guarantees also impacts contracts with discretion. Intuitively, the guarantee removes the downside

which in turn reduces the option value of learning. This makes monitoring and discretion less appealing.

This has two effects, depending if the program is introduced ex-post (t = 1) or ex-ante (t = 0) for the


                                                             71
firms. Ex-post, the guarantees increases the incentives to "rubber stamp" requests for funds that are

not too large, because there less downside to learn about and protect from. Larger requests still trigger

monitoring, unless the guarantee level is very high: there is an intuitive trade-off between credit volume

and fiscal cost. Ex-ante, guarantees tend to favor committed credit lines over discretion.

   Participation/loan purchases: In this simple framework, participation by the public sector in loans (or

loan purchases) does not play any role. There is no constraint on the size of lender’s lending portfolios

and all payoff are linear in quantities. To capture the effect of participation programs, one would need

to extend the model to include aggregate bank balance sheet constraints.




                                                   72
D     Loan Terms at Regional Banks

    • List of regional banks as of 2019Q4: MT, Keycorp, Huntington, PNC, Fifth Third, SunTrust, BBT

       (now: Truist), US Bancorp, Citizens, Ally, Cap One, Regions


    A.14-A.17 shows that our facts about loan terms hold for these regional banks as well: small firms

have shorter maturity credit lines, engage in less maturity management, pledge more collateral and pay

higher spreads. The magnitudes of differences across firms size are at least as large as in the full sample.

In fact, they may offer harsher terms: for instance, 49% of small SMEs credit lines are demandable,

while this fraction is only 29% in the whole sample. The main difference between regional banks and

the larger universal banks is in the sets of firms they lend to, with regional banks tilting toward smaller

borrowers relative to the univeral banks. Table A.18 shows that differences in dradowns during COVID

are also equally striking for these banks: SME credit is virtually unchanged in 2020Q1, while large firms

draw extensively. This additional evidence suggests that differences in loan terms and access to credit

across firms we document are driven by firms characteristics rather than bank size.

Table A.14: Maturity at Origination/Renewal by Facility Type and Firm Size Category as of December 31, 2019
- Sample Restricted to Loans issued by Regional Banks.


      Maturity at
 Origination/Renewal            Demand        <1 year     1 year     1-2 year      2-4 years     4-5 years      >5 years      Obs.

 Assets ($mil.)
                                                              Panel A: Revolving Credit Lines
 0-50                               .49          .16         .17         .09          .043          .029          .013       12549
 50-250                             .24         .097         .08        .081           .16           .32          .033       3364
 250-1000                           .12         .027        .024        .048           .17           .57          .039        2271
 1000-5000                         .033         .014        .023        .024           .15           .73          .034        2369
 5000-                             .027         .039        .069        .037           .12           .68           .02        1717
                                                                     Panel B: Term Loans
 0-50                             .0026         .045        .034         .02          .071           .32           .51        5760
 50-250                           .0017         .045        .031        .022           .14           .43           .33        2867
 250-1000                         .0006         .028        .018        .037           .14           .46           .31        1669
 1000-5000                          0           .034        .019        .042           .18           .55           .17        1187
 5000-                              0             .1        .072        .089           .24           .37           .12         844
 Notes: The table reports the fraction of outstanding loans to each firm size group (assets in $million) by the maturity indicated
in the table header. The maturity is as of the respective facility’s origination date or alternatively the most recent renewal date
if the facility has been renewed since origination. The sample includes all C&I loans in the Y-14 corporate loan schedule as of
December 31, 2019 for which an origination or renewal date reported.




                                                                73
     Table A.15: Maturity Management in Revolving Credit Lines and Term Loan by Firm Size Category- Sample Restricted to Loans issued by Regional
     Banks.


                   Assets ($mil.)
                   Original Maturity                1 year or less                  1-2 years                      2-4 years                     more than 4
                                             Before     After        N     Before      After      N       Before     After       N       Before     After       N
                                                                                             Panel A: Credit Lines
                   0-50                         0         12     86541         2        20      18263      4       34           9813        50        60       7294
                   50-250                       0         11     17193         6        20       7585     13       34          13113        39        57      18349
74                 250-1000                     0         12      3693         9        22       3013     21       35          11172        35        60      23230
                   1000-5000                    0         12      2442         7        16       2406     25       36          15546        37        60      35434
                   5000-                        0         12      4336         6        17       1869     24       37          10567        41        60      29015
                                                                                           Panel B: Term Loans
                   0-50                         0         4       7648         0        18    3483      14     36              14070        25        63      64338
                   50-250                       0         3       3816         3        19    2515      16     36              12884        41        60      39571
                   250-1000                     0         6       1266        13        19    1209      25     36              6664         41        58      21751
                   1000-5000                    0        5.5      1005         2        21     991      22     36               6427        39        60      16210
                   5000-                       -1         2       2663        10        24    1461      24     36              5365         40        60      8889
      Notes: The table reports the median maturity (in months) before and after a credit facility is renewed. Facilities are grouped by their maturity at origination/recent renewal
     date as noted in the header. Demand loans are excluded from the sample. The sample is restricted to all renewals of revolving credit lines (Panel A) and term loans (Panel
     B) reported between 2015Q1 through 2019Q4.
Table A.16: Collateral Use by Facility Type and Firm Size Category as of December 31, 2019- Sample Restricted
to Loans issued by Regional Banks.


       Collateral          Real                 AR &         Fixed                Blanket
         Type             Estate     Cash     Inventory      Assets     Other      Lien       Unsecured        Obs.

       Assets ($mil.)
                                     Panel A1: Revolving Credit Lines (Non-Demand Loans)
       0-50                 .028     .014         .61         .041       .094        .18          .041        10925
       50-250               .035     .035         .49         .056        .11        .19          .083         3691
       250-1000              .02     .083         .39         .041        .12         .2           .14         2801
       1000-5000             .01     .073         .36         .039        .12        .12           .29         3368
       5000-               .0028      .04         .16         .021       .083       .046           .65         2460
                                         Panel A2: Revolving Credit Lines (Demand Loans)
       0-50                .0048     .0058         .7         .041       .024        .17          .058         7969
       50-250              .0041      .017        .35          .16        .04        .12           .31         1464
       250-1000            .0014      .015        .17          .16       .021       .034            .6         727
       1000-5000             0        .028       .088         .011       .021       .028           .83         566
       5000-                 0        .007       .038         .007       .007       .019           .92         426
                                                           Panel B: Term Loans
       0-50                  .47     .0059        .19          .14       .036        .11          .035         9542
       50-250                .25       .02        .17          .28       .056        .19          .029         4087
       250-1000              .13      .048        .13          .35       .064        .23          .055         2160
       1000-5000            .059      .053        .17          .21         .1        .19           .22         1467
       5000-                .024      .032        .12           .3       .095       .076           .36         1054
 Notes: The table reports the fraction of loan commitments to each firm size group (by assets in $million) with the type of
collateral indicated in the table header. The sample includes all loans in the Y-14 corporate loan schedule as of Deember 31,
2019.




                                                            75
     Table A.17: Pricing of Revolving Credit Lines and Term Loans by Firm Size Category- Sample Restricted
     to Loans issued by Regional Banks.

      Dependent variable                                                                              Interest Rate (in bp)
      Sample                                                                    Credit Lines                                                        Term Loans
                                                             (1)                 (2)                (3)               (4)                 (5)                 (6)                (7)
      50-250 (in mil)                                   -69.8***            -25.5***           -29.4***           -29.6***            -11.0***              -5.5*               0.4
                                                          (4.2)               (2.9)              (3.0)              (3.0)               (3.3)               (2.4)              (2.4)
      250-1000                                          -73.6***            -27.8***           -35.8***           -35.6***              -7.3                 2.0                7.7
                                                          (6.4)               (4.5)              (5.1)              (5.1)               (5.6)               (4.1)              (4.1)
      1000-5000                                         -75.6***            -63.3***           -71.9***           -71.4***            -69.1***            -47.0***           -34.9***
                                                          (4.0)               (4.0)              (5.0)              (5.0)               (4.8)               (3.9)              (4.0)
      5000-                                            -116.0***            -79.6***           -83.3***           -83.2***           -104.4***            -69.5***           -55.3***
                                                          (4.9)               (6.0)              (7.1)              (7.1)               (6.3)               (4.7)              (4.8)
76
      Reference-Rate-Time FE                                Yes                 Yes                Yes                Yes                 Yes                 Yes                Yes
      Industry-Time FE                                      No                  Yes                Yes                Yes                 No                  Yes                Yes
      Bank-Time FE                                          No                  Yes                Yes                Yes                 No                  Yes                Yes
      Rating-Time FE                                        No                  Yes                Yes                Yes                 No                  Yes                Yes
      Firm Financial Controls                               No                  Yes                Yes                Yes                 No                  Yes                Yes
      Loan Terms Controls                                   No                  No                 Yes                Yes                 No                  No                 Yes
      Drawdown                                              No                  No                 No                 Yes                 No                  No                 Yes
      No of Firms                                         19088               16483              16452              16452               13995              11920              11887
      N                                                   56499               46858              46723              46723               25310              22121              21817
      R2                                                  0.314               0.558              0.564              0.565               0.270              0.556              0.579
      Notes: Results from estimating a model of the following type: Interest`,t = ∑s6={$0−50m} β 1,s I{size class = s} + Γ0 Xt + e`,t where Interest`,i,b,t is the interest on facility ` from
      bank b to firm i at time t. The sample contains originations and renewals between 2015Q1 and 2019Q4. Industry×time fixed effects are at the NAICS 3 digit level. Rating×time
      fixed effects are categorical variables for 10 internal loan rating categories. Firm financial controls are lagged debt/assets, cash and receivables/assets, net income/assets,
      and operating income/interest expense. Loan term controls are six maturity categories (demand loans, 0-6 months, 6-12 months, 1-2 years, 2-4 years, more than 4 years), six
      collateral classes (real restate, marketable securities, accounts receivables and inventory, fixed assets, other, and unsecured or blanket lien), and total credit line commitment
      over total assets. Robust standard errors are clustered at the firm level in parentheses; *, **, and *** indicate significance at the 10%, 5%, and 1% level, respectively.
                  Table A.18: Aggregate Drawdowns in $B by Firm Type, 2019Q4-2020Q2- Sample Restricted to Loans issued by Regional Banks.


                                                                                                              CL Drawdowns                        CL Drawdowns
                                      Total Credit                         Term Loans                          (all facilities)                (pre-existing facilities)
                            2019Q4       2020Q1      2020Q2       2019Q4      2020Q1      2020Q2       2019Q4      2020Q1       2020Q2      2019Q4       2020Q1      2020Q2

                                                                 Panel A: By Firm Size (in Assets in $mil)
77      Not classified         41.4        43.0         43.9       19.9     20.6      21.4      11.7       12.8                   12.0         10.3        11.7        10.1
        0-50                   92.5        93.0         76.4       29.4     29.6      29.4      54.6       54.7                   37.9         53.0        53.6        36.6
        50-250                 81.0        83.7         73.2       28.4     28.8      26.4      39.6       42.2                   33.0         38.6        41.4        32.0
        250-1000               73.3        83.8         74.5       22.8     23.9      20.4      40.0       49.3                   41.4         38.5        48.2        40.0
        1000-5000              95.0       120.8        104.9       28.5     30.5      26.4      48.0       71.5                   58.0         47.5        71.1        57.0
        5000-                  74.0       105.6         87.6       24.7     28.9      26.2      26.5       52.8                   36.4         26.0        52.6        34.8
                              457.3       529.9        460.4      153.7     162.3    150.0     220.4      283.3                  218.7        213.9       278.5       210.6
      Notes: The table reports the total dollar amount (in $B) of utilized credit pooling all facilities, revolving credit lines only, and revolving credit lines of firms that had a
     facility open as of the previous quarter.
E    Private vs. Public Firms

Table A.19: Remaining Maturity by Facility Type and Firm Size Category for Loans Outstanding between
2017Q1-2019Q4


    Loan Due:         Demand         Jan      Feb      Mar          Q2   Q3-Q4       2021    2022-24      Later      Obs.

    Assets (mil.)
                                         Panel A1: Revolving Credit Lines for Private Firms
    0-50                  .29        .042     .046      .051      .17       .23       .11       .04        .023    429262
    50-250                .18        .022     .024      .028     .082       .15       .18       .22         .12    124015
    250-1000              .13       .0086    .0093      .012     .038      .084       .15       .35         .23     68935
    1000-5000            .096       .0049     .006     .0075     .023      .054       .13       .42         .29     40876
    5000-                .097        .012    .0094      .013     .033      .075       .12       .37         .29     16832
                                           Panel A2: Revolving Credit Lines for Public Firms
    0-50                   0         .038      .05      .059      .15       .25       .13       .059       .031      8774
    50-250                 0         .011     .014      .014     .044      .096       .18        .35         .2     6416
    250-1000               0        .0025    .0039     .0047     .015      .039       .13        .44        .32     24182
    1000-5000              0        .0017    .0017      .003     .009      .025       .11        .47        .33     68519
    5000-                  0        .0072    .0074     .0083     .021      .046        .1        .42        .36     86389
                                                Panel B1: Term Loans for Private Firms
    0-50                 .0015       .006    .0062     .0079     .018      .036      .068       .22        .65     262199
    50-250               .0013      .0064    .0059     .0077      .02      .044       .11       .36        .46     100486
    250-1000             .0015      .0045    .0047      .007     .016      .043       .13       .38        .43      42007
    1000-5000          .000061      .0034    .0068      .008     .021       .05       .11       .35        .47     16371
    5000-                  0        .0056    .0085      .013     .037       .08       .15       .35        .38      6205
                                                 Panel B2: Term Loans for Public Firms
    0-50                   0        .0052    .0069      .011     .019      .038      .075       .23        .62       5199
    50-250                 0        .0043    .0074     .0045     .013      .029      .095       .41        .45      4217
    250-1000               0         .002    .0017     .0043     .009      .028       .11       .42        .44       7522
    1000-5000              0        .0029    .0026     .0035    .0096      .029       .11       .47         .4      22570
    5000-                  0         .019     .012      .013     .034      .076       .14       .39        .33      24349
 Notes: The table reports the fraction of loans to each firm size group (assets in $milion) with remaining maturity indicated in
the table header. The sample includes all C&I loans in the Y-14 corporate loan schedule reported as outstanding between
2017Q1 and 2019Q4




                                                               78
               Table A.20: Collateral Use by Facility Type and Firm Size Category, 2017Q1-2019Q4


       Collateral          Real                AR &          Fixed                Blanket
         Type             Estate    Cash     Inventory       Assets     Other      Lien       Unsecured         Obs.

       Assets (mil.)
                                         Panel A1: Revolving Credit Lines for Private Firms
       0-50                .023      .015         .46         .034       .046        .39           .042        306703
       50-250              .027      .025         .45         .059       .075        .27           .096        101954
       250-1000            .018      .038         .37         .054        .11        .23            .18         60042
       1000-5000          .0091      .036         .33         .043        .11        .17             .3        36949
       5000-              .0025      .019         .13         .016       .075       .077            .68         15191
                                         Panel A2: Revolving Credit Lines for Public Firms
       0-50                .018      .022         .44         .031       .045        .41           .043        6803
       50-250              .012      .028         .44         .065       .077        .28             .1         5796
       250-1000           .0035      .045         .39         .047       .097        .26            .16        22374
       1000-5000          .0029      .045          .3         .041        .1         .18            .33        63763
       5000-             .00092      .021        .098          .02       .072       .072            .72        81466
                                                Panel B1: Term Loans for Private Firms
       0-50                  .5     .0063          .1          .11       .023        .25           .022        261812
       50-250               .25      .013         .13          .29       .044        .23           .035        100353
       250-1000             .17      .027         .13          .33       .053        .21           .073        41942
       1000-5000            .15      .025         .12          .25       .088        .19            .19        16370
       5000-               .049     .0087        .049          .27       .077        .12            .43         6205
                                                Panel B2: Term Loans for Public Firms
       0-50                 .46     .0054        .081          .11       .021        .29           .032        5191
       50-250               .17       .02         .17          .23       .059         .3           .061        4215
       250-1000             .02       .04         .23           .2       .083        .33            .11        7520
       1000-5000           .015      .041         .19          .12       .081        .23            .32        22568
       5000-              .0082      .025         .11          .15        .07        .15            .49        24347
 Notes: The table reports the fraction of loan commitments to each firm size group with the type of collateral indicated in the
table header. The sample includes all loans in the Y-14 corporate loan schedule as of 2019Q4.




                                                              79
          Table A.21: Interest Rates by Facility Type and Firm Size Category between 2017Q1-2019Q4


        Interest in bp      0 -100    100-200      200-300     300-400      400 -500     500 -600      >600      Obs.

        Assets (mil.)
                                          Panel A1: Revolving Credit Lines for Private Firms
        0-50                 .019        .011        .065           .25        .37           .22       .062     294042
        50-250               .045        .035         .16           .35        .23            .1       .083     86557
        250-1000             .061        .039         .15           .32        .22           .12         .1      50562
        1000-5000            .074        .017         .18           .33        .22           .11       .078      34843
        5000-                 .17        .054         .23           .32        .13          .057       .047     12297
                                          Panel A2: Revolving Credit Lines for Public Firms
        0-50                 .036       .0049        .064           .28        .35           .16         .1      609
        50-250               .062       .0077         .11           .29        .24           .14        .15     2352
        250-1000             .072       .0093         .13           .33        .24           .12       .099     11769
        1000-5000            .083        .028          .2           .38        .18          .063       .056     32005
        5000-                 .18        .046         .22           .36        .11          .049       .042     20926
                                                 Panel B1: Term Loans for Private Firms
        0-50                 .015       .0039        .063           .33        .44           .12       .027     267099
        50-250               .021       .0084         .14           .38         .3          .088       .058     103035
        250-1000             .032        .015         .17           .37        .24          .083       .081      44211
        1000-5000            .044        .015         .21           .41        .21          .064       .047      20943
        5000-                .068        .031         .25           .42        .18          .031       .019      11818
                                                  Panel B2: Term Loans for Public Firms
        0-50                 .053          0          .11           .24        .34           .16       .099       282
        50-250               .024        .014        .099           .28        .26           .21        .12      1631
        250-1000             .061       .0078          .1           .33         .3           .12       .082     5232
        1000-5000            .052        .023         .21           .45         .2          .037       .024     17995
        5000-                  .1        .033         .27           .42        .13          .035       .015     18733
 Notes: The table reports the fraction of loan commitments to each firm size group with the interest rate indicated in the table
header. Note that prices for credit lines are only reported if the drawdown is larger than zero. The sample includes all loans in
the Y-14 corporate loan schedule as of 2019Q4.




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