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Bank Capital and Monitoring: Evidence from Loan Quality
Gauri Bhat
Cox School of Business Southern Methodist University
[email protected] (214) 768-2964
Hemang Desai
Cox School of Business Southern Methodist University
[email protected] (214) 768-3185
April 1, 2016 Early Draft
Please do not quote or cite Comments Welcomed
We thank Anjan Thakor and seminar participants at Southern Methodist University and the University of Texas Arlington for comments.
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Abstract
There are two competing theories on how bank equity capital affects banks’ monitoring incentives. One perspective is that higher bank capital shields managers from market discipline that high leverage imposes and may result in underinvestment in monitoring efforts (Diamond and Rajan, 2001). This view suggests that higher bank capital may adversely affect bank value. An alternate perspective is that higher bank capital increases survival probability of banks and this in turn increases the odds that a manager will be able to realize the benefits of prior investment in monitoring effort suggesting a positive association between bank capital and monitoring incentives and therefore a positive association between capital and bank value (Mehran and Thakor, 2011). In this paper, we empirically test the association between bank capital and loan quality, an outcome of bank’s monitoring effort, for U.S. bank holding companies over the period 1994-2015. We document a positive and significant association between the bank capital and the quality of its loan portfolio, controlling for other determinants of loan quality. This association is statistically stronger for smaller banks relative to larger banks, and obtains for public as well private banks. This association is not affected by the financial crisis period and is not sensitive to banks’ participation in originate to distribute loan market. Importantly, using two salary based ex-ante measures of bank’s monitoring effort that capture labor input into monitoring, we show that bank capital is positively related to our ex-ante proxies of monitoring efforts, which in turn are positively related to loan quality. Our evidence is consistent with prediction in Mehran and Thakor that bank capital improves monitoring incentives which in turn increases the value of its loan portfolio.
JEL classification: G21, G32, M41
Key words: Bank capital, bank monitoring, loan quality.
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1 Introduction
A unique aspect of banks’ capital structure is its fragility – i.e., that banks use little equity
capital and are primarily financed by deposits. There are two opposing theoretical views on bank
capital structure and how bank capital affects bank’s monitoring incentives and hence the value of
its loan portfolio.1 One view is that the market discipline imposed by the fragile capital structure
(high leverage) encourages the bank to commit to monitoring its borrowers (Diamond and Rajan,
2001). Higher bank capital impedes this market discipline and adversely affects the bank’s
monitoring incentives. The opposing view is that bank capital strengthens bank’s incentives to
monitor its borrowers as bank failure is more costly for shareholders of well capitalized banks
(Holmstrom and Tirole 1997 and Mehran and Thakor 2011). Given the theoretical disagreement
on how bank capital affects bank’s monitoring incentives and hence bank value, empirical
evidence identifying costs and benefits of bank capital becomes particularly valuable. Our
objective in this paper is to contribute to this debate by providing an empirical test of the
association between bank capital and banks’ monitoring effort. Monitoring effort is unobservable
but a bank that monitors its borrower more, should have higher loan quality. Thus, we examine an
association between bank capital and loan quality, which is an outcome of banks’ monitoring
effort. In addition, we also examine the association between bank capital and salary based ex-ante
measures of monitoring effort that capture labor input into monitoring.
The amount of bank capital not only affects a bank’s survival when faced with an economic
shock but also its risk management incentives. Diamond and Rajan (2001) argue that the value of
1 We use the term ‘bank capital’ to refer to the book value of equity on the bank’s balance sheet. The regulatory view of capital is similar but broader and includes other sources of financing such as preferred stock. We conduct robustness tests using the alternate regulatory definition of bank capital in Section 5.
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the bank’s loan portfolio will be affected by bank manager’s investments in loan collection efforts.
The bank managers may threaten to withhold their collection effort until given a higher share in
the surplus. But if the bank has a fragile capital structure, the deposit holders may threaten to
prematurely withdraw their funds and thus, the fragile capital structure resolves the hold-up
problem. In their model, higher capital shields the bank manager from market discipline (a run by
the depositors) thus, allowing the manager to underinvest in monitoring and hence, higher capital
adversely affects the value of bank’s loan portfolio. An alternate perspective is that higher capital
strengthens a bank’s monitoring incentives and enhances its survival probability. Specifically,
Mehran and Thakor (2011) argue that since higher capital increases the survival probability of the
bank, it increases the marginal benefit to monitoring as greater survival probability increases the
likelihood that the bank will be able to realize the gains from its prior investment in monitoring.
This increases the value of bank’s relationship loans, which in turn further strengthens banks’
incentives to monitor. Thus, Mehran and Thakor (2011) predict a positive association between
bank capital and value of the loan portfolio. Our study contributes to this debate by empirically
testing the association between bank capital and monitoring effort.
We conduct three tests to test the association between bank capital and monitoring effort:
(1) we examine the association between bank capital and three measures of loan quality (outcomes
of banks’ monitoring efforts). (2) We investigate whether the bank capital is associated with two
salary expense based (labor input) proxies of monitoring effort. (3) We correlate our ex-ante
measures of monitoring effort to loan quality, ex-post measure of monitoring effort.
We use three measures of default risks inherent in the loan portfolio of the bank, namely,
non-performing loans (NPL), loan loss provisions (LLP), and net loan charge-offs (NCO) to
capture loan quality. Non-performing loans involve relatively mechanical classification of loans
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as non-performing when payment on the loan is overdue. Typically, loans generally become non-
performing at 90 days past due or if loan is a nonaccrual loan. A manager has little control over
classification of a loan as non-performing. Thus, our first measure of loan quality, non-performing
loans, is considered a relatively non-discretionary indicator of loan quality. If losses on loans
appear probable and estimable, the bank managers are expected to record a provision by reducing
current income and increasing the allowance on loans, but they are required to use considerable
judgement in doing so. While provision is highly discretionary for heterogeneous loans for which
loss accruals are estimated at the individual loan level primarily based on the judgment of loan
officers under FAS 5 or FAS 114 relative to homogenous loans for which loss accruals are
estimated at the pool level based on historical loss statistics under FAS 5, it is still within the bank
manager’s discretion to apply the expected loss rates even to the homogenous loan pools. Thus,
our second measure of the loan quality, loan loss provisions, reflects the bank manager’s private
information regarding default risks inherent in the loan portfolio and is discretionary in nature.
Bank managers charge off loans when they are deemed uncollectible. While the bank managers
exercise some degree of discretion over the timing and the magnitude of the charge-offs, especially
for commercial loans, charge-offs are often driven by exogenous factors and also, some loans such
as consumer are automatically charged off when they become delinquent for a certain number of
days.2 Thus, our third measure of loan quality, charge-offs, is relatively non-discretionary measure.
In our main empirical tests, we examine the cross-sectional association between bank capital and
2 Closed-end consumer loans must be charged-off no later than 120 days past due, whereas open-end consumer loans and residential mortgages must be charged-off no later than 180 days past due as per the Federal Financial Institutions Examination Council, Uniform Retail Credit Classification and Account Measurement Policy, June 12, 2000.
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each of these three measures of loan quality – non-performing loans, loan loss provisions and
charge-offs.
We find a significant positive association between bank capital in quarter t-1 and each of
the three measures of loan quality in quarter t. This association is observed over our entire sample
period of 1994Q2-2015Q1 and in the crisis and non-crisis periods. The relation is observed for
both the public and the private banks. The economic magnitude of the relation is strong as well.
Our main tests reveal that one standard deviation increase in bank capital is associated with a
decrease of 27% in average NPL, 18% in average LLP and 28% in average NCO, respectively.
Our analysis controls for other determinants of loan quality such as loan growth, size, loan
portfolio composition, liquidity, maturity gap, cost inefficiency, ratio of fee income to total
income, change in GDP rate and earnings before provision. We include bank fixed effects and
quarter dummies to account for average differences in loan quality across banks and average
differences in loan quality across quarters, respectively, that are not captured by the other
exogenous variables, and to reduce correlation across error terms. To control for heteroscedasticity
and possible correlation among observations of the same bank in different years, we report robust
standard errors, clustered by bank.
We also find that the positive relation between bank capital and loan quality obtains for
both the public and the private banks. It is plausible that the effect of higher capital in strengthening
monitoring incentives differs across bank size. The role of close monitoring may be more
important to smaller banks that typically extend loans to small businesses.3 We find that the
3 Koch et al (2016) show that in the years preceding the financial crisis, the capital of the largest banks converged to the minimum allowed by law, while the smaller banks increased their capital in the period preceding the financial crisis. They attribute this behavior to the moral hazard at the largest banks resulting from too big to fail precedent established in the preceding years (Franklin in 1974, Continental Illinoi, 1984 etc.). We examine the association between equity and loan quality for the largest 20 banks each quarter and find it to be insignificant.
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association between capital and loan quality is statistically stronger for smaller banks relative to
medium and larger banks. In fact, for larger banks, the association between capital and loan quality
is not consistently significant across various loan quality measures. The positive relation between
bank capital and loan quality obtains during the financial crisis (2007Q2-2008Q4) and the non-
crisis periods, and for banks that participate in the Originate-to-distribute market for loans and the
banks that do not. Results are robust to including additional control for loan performance (interest
on loans), and exclusion of banks with assets above 10 billion.
While, loan quality is a result of, and hence ex-post outcome of investment in monitoring
effort, theory predicts an association between bank capital and monitoring incentives. Thus, we
also examine whether bank capital is associated with ex-ante investment in monitoring effort.
Specifically, we use two ex-ante proxies for bank’s monitoring effort. These proxies are based on
the ratio of salary expense to total non-interest expense. The intuition being that ratio of the salary
expenses to total non-interest expense that captures the quality and quantity of labor input into
monitoring effort. The first proxy is the ratio salary expense to total non-interest expense adjusted
for size and portfolio composition. The second proxy is a comprehensive measure of monitoring
effort based on Coleman, Esho and Sharpe (2006). Coleman et al. estimate a fixed effects
regression with salary expense to total non-interest expense as the dependent variable and various
factors that are intended to capture the impact of non-monitoring activities of the bank on the salary
expense such as portfolio composition, fee income, transaction deposits, size, performance and
number of employees (details in section 3.2 and 5). The fixed effect regression coefficient is the
proxy for monitoring effort. Their out of sample tests show that the monitoring effort proxy is
reliably associated with loan quality indicators in the future. We compute our second proxy using
rolling regressions for 4 quarters at a time, t-4 to t-1. The fixed effects obtained from these
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regressions are the monitoring effort proxy for the bank at the beginning of quarter t. If bank capital
strengthens monitoring incentives then we should expect to see a positive association between
bank capital and our proxies for monitoring effort. Consistent with predictions in Holmstrom and
Tirole and Mehran and Thakor, we find that bank capital is positively associated with both of our
ex-ante proxies of monitoring incentives. Again, this association is stronger for small banks
relative to medium banks, and not significant for large banks. We correlate both our ex-ante
proxies of monitoring effort with the three ex-post measures, loan quality and find positive and
significant association.
Additionally, we identify a situation where banks’ monitoring efforts are expected to be
higher and test if in such an instance the relation between capital and loan quality is stronger. Such
a scenario is the relation between relationship loans and core deposits. Song and Thakor (2007)
argue that banks finance informationally opaque relationship loans with core deposits. The
rationale being that informationally opaque loans are likely to generate the most disagreement
between banks and depositors about their value and hence depositors are most likely to run if they
perceive that the value of the loan portfolio has declined. However, core deposits are sluggish as
banks also provide transaction and advisory services to these depositors. Thus, banks find it
optimal to finance relationship loans with core deposits. Based on this insight, we use banks’
funding mix as a proxy for the extent of banks’ relationship lending, Since relationship loans
require greater monitoring effort, the relation between bank capital and loan quality (outcome of
monitoring) should be stronger for banks with greater core deposits (proxy for relationship
lending). We divide our sample into two groups – those with above median ratio of core deposits
to total assets and those with below. Consistent with our conjecture, we find that the association
between bank capital and monitoring, and bank capital and loan quality is significantly stronger
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for banks with greater core deposits. Furthermore, we find this association is stronger for small
banks relative to large banks as one would expect given that relationship lending is dominant in
small banks.
While the theory suggests a causal relationship from bank capital to loan quality, an
outcome of the monitoring effort, in practice both may be jointly determined. We employ several
econometric techniques and additional tests to mitigate this endogeneity concerns. First, our bank
capital measure is lagged which partially mitigates the endogeneity concern as lagged capital and
current loan quality measures are less likely to be jointly determined. We have also replicated the
analysis by extending the lag to three periods and our results are robust. Second, we have panel
data and use a fixed effect estimation model to control for time invariant omitted variables. Third,
while we control for profitability, portfolio composition and risk in our regressions, we understand
that these controls may not be sufficient. Therefore, we conduct additional tests to control for loan
performance by including interest yield on loans as a control variable, and risk by conditioning our
analysis on participation in the OTD market.
Our final test to address endogeneity involves examining the association between change
in capital and change in loan quality. This research design allows the firm to act as its own control
and thus minimizing the likelihood that the relationship is due to an omitted variable. Over our
sample period, 443 banks (1944 bank-quarters) made secondary equity offerings. We examine
whether an increase in capital is associated with increase in monitoring effort and loan quality
(outcome). Using a changes specification, we first regress change in in our two monitoring proxies
on a dummy variable that takes the value of 1 for banks that issued equity capital. The results show
that banks that raise equity show a significant increase in monitoring effort after one year.
Assuming that increased monitoring efforts will result in improved loan quality with a lag, we find
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that banks that increase capital show improvement in NPL after 2 years and in each of three
measures after three years controlling for changes in control variables. This result shows that an
increase in capital is followed by an increased investment in monitoring effort as well as improved
loan quality.
Our study advances the literature forward along various dimensions. Though prior studies
have documented benefits of higher capital (for example, Calomiris and Mason, 2003, and Berger
and Bouwman, 2013), the empirical evidence on the positive impact of bank capital on monitoring
incentives is limited. For example, using a sample of 244 bank mergers from 1989 to 2007 that
were accounted for using the Purchase Method, Mehran and Thakor (2011) show that the purchase
price received by the target bank and the goodwill recognized in the acquisition are positively
related to the target bank’s equity capital suggesting that bank capital is positively related to bank
value in the cross-section.4 Our study complements Mehran and Thakor by showing the impact of
capital on loan quality using a large and comprehensive sample of banks. Furthermore, we
arguably provide more direct test of the prediction in Mehran and Thakor that bank capital is
positively associated with monitoring incentives as we show evidence on the mechanism by which
capital affects loan quality - through its effect on monitoring effort. In a related study,
Purnanandam (2011) finds that banks with greater participation in the originate-to-distribute model
originated loans of poor quality and that this effect was stronger for banks with lower capital
suggesting that lower capital reduces pre-lending screening incentives. However, this analysis is
conducted over a short period of seven quarters from 2006Q3 to 2008Q1 and the analysis is
4 Prior to 2001, there were two acceptable methods to account for mergers, the Purchase and the Pooling of Interests Method. The Purchase Method required the acquirer to revalue the Target’s assets and liabilities to their fair market values but Pooling Method permitted the acquirer to record the target’s assets and liabilities at their book values. Prior to the prohibition on the use of Pooling of Interests Method by the FASB in 2001, an overwhelming majority of bank mergers were accounted for using the Pooling method.
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restricted to mortgage loans. In contrast, our study spans a much larger period (1994 to 2015) and
examines total loans as well each major category of loans.
Finally, the issue of costs and benefits of bank capital has become particularly controversial
with some calling for drastic increase in equity capital for banks (Admati et al, 2010). Our study
contributes to this debate by identifying an important benefit of bank capital – its impact on
monitoring incentives and its positive association with loan quality (value). We recognize that our
evidence shows a cross-sectional association between bank capital and loan quality and hence our
evidence does not suggest or imply that banks should hold more capital. At a minimum, our
empirical evidence identifies an important benefit of capital – stronger monitoring incentives.
2 Background and Motivation
A commonly held view is that bank capital dissipates value (Mishkin, 2000). There are
multiple mechanisms by which bank capital may adversely affect value. One set of argument holds
that leverage disciplines the bank manager while higher capital shields a bank manager from
market discipline, thereby allowing the manager to shirk or underinvest in monitoring efforts.
While the disciplinary role of debt is well established in corporate finance theories, the disciplinary
role of bank debt is stronger because of the nature of bank deposits, which is the primary source
of bank debt. Demand deposits have a sequential service constraint feature where payments are
made to depositors on a first come first served basis till the funds are exhausted. This is a crucial
disciplinary mechanism that not only disciplines the bank but also enhances liquidity creation
(Calomiris and Kahn, 1991). The general argument proceeds along the following lines. Banks
make loans that are long-term and illiquid but are financed primarily with liquid demand deposits.
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Such a transformation of illiquid loans into liquid deposits creates liquidity on both sides of the
balance sheet. Such liquidity creation is the primary function of the banks (Diamond and Dybvig,
1983) and a fragile capital structure (financed primarily by deposits) is necessary for the bank to
perform this function. A fragile capital structure allows the depositors to delegate monitoring to
the banker who specializes in monitoring of borrowers (Diamond, 1984). However, once the funds
from depositors are raised, the banker may shirk or abscond. The depositors can guard against such
opportunistic behavior by becoming informed. Higher bank leverage increases the risk exposure
of depositors, giving them greater incentives to become informed. If they acquire adverse
information, they can respond by withdrawing their funds. Their action is likely to be emulated by
other depositors precipitating a run on the bank. Thus, the threat of a bank run then keeps the bank
manager diligent and prevents shirking and excessive risk taking (Calomiris and Kahn, 1991). In
contrast to demand deposits, claims such as equity lack this sequential servicing constraint and
hence cannot provide the same discipline as deposits.
Diamond and Rajan (2000 and 2001) model fragility (leverage) as helping solve the
contracting problem between the relationship lender (bank) and the depositors. They argue that the
fragility of bank capital structure helps alleviate the hold-up problem where the relationship lender
(the banker) may refuse to collect payments from the borrower on behalf of the lenders (depositors)
unless the depositors agree to give the banker a higher share of the surplus. However, if the bank
is primarily financed with deposits, then in response to the threat of hold-up by the banker, the
depositors can run, which would then drive the banker’s rent down to zero. Equity holders cannot
provide such a threat. Thus, it is the fragility of the bank’s capital structure that disciplines the
banker and a credible threat of a bank run that allows the bank to raise financing via deposits which
in turn allows it to fund illiquid loans and thereby creating liquidity. Of course, the banks does
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need to finance itself with some capital as it provides a buffer against economic shocks. Overall,
these studies identify negative effects of bank capital and argue that lower level of bank capital
(high leverage) should be associated with stronger monitoring incentives, more lending and greater
liquidity creation.
An alternate perspective is that higher level of bank capital has beneficial effects. There
are three broad arguments that highlight benefits of higher level of bank capital. First, very low
levels of equity can induce moral hazard by encouraging the manager to engage in excessive risk
taking or asset substitution (Jensen and Meckling, 1976). Higher of level of bank capital can
mitigate this moral hazard problem by reducing risk taking incentives (Furlong and Keeley, 1989).
Second, higher level of capital increases banks’ risk absorbing capacity and this in turn increases
the banks’ risk bearing capacity (Bhattacharya and Thakor, 1993). A third argument is that higher
level of bank capital strengthens the banks’ monitoring incentives because a bank failure is more
costly for shareholders of well capitalized banks (Holmstrom and Tirole, 1997 and Mehran and
Thakor, 2011). The key insight in Mehran and Thakor, which is a dynamic variant of the
Holmstrom and Tirole model is that higher level of capital increases the survival probability of the
bank. Higher survival probability increases the value of the relationship loans, which in turn
improves the banks’ monitoring incentives ex-ante, resulting in a positive association between
bank capital and monitoring incentives. Overall, the above mentioned papers provide an alternate
perspective that higher bank capital (lower leverage) has beneficial effects of improved monitoring
incentives. Thus, these papers predict a positive association between bank capital and value via
improved monitoring incentives.
The above discussion highlights two opposite theoretical predictions regarding the effect
of bank capital (leverage) on bank’s monitoring incentives. Given the theoretical disagreement,
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empirical evidence on the issue becomes particularly valuable. While bank capital is observable,
bank’s monitoring efforts and its ability are largely unobservable to outsiders. If banks are
heterogeneous rather than homogeneous in their loan monitoring incentives, then a bank’s superior
loan monitoring ability should be reflected in the quality of its loan portfolio. Banks that have
monitored their borrowers will have fewer loan defaults. Thus, if higher capital improves banks’
monitoring incentives ex-ante then its effect should be reflected in the ex-post measure of default
risk of its loan portfolio. In other words, we should observe a positive association between bank
capital in time period t-1 and various indicators of loan quality in time period t, a proposition we
test empirically in this paper.
3 Data and variable measurement
Our sample includes commercial bank holding companies in the United States that are in
business during the 1994 to 2015 period. We use the quarterly call report data (Y9C) from the
Federal Reserve Bank of Chicago website from 1994Q1 to 2015Q1. All domestic Federal Deposit
Insurance Corporation (FDIC)-insured commercial bank holding are required to file call reports
with the regulators on a quarterly basis. These reports contain detailed information on the bank’s
income statement, balance-sheet items, and off-balance-sheet activities. The items required to be
filed in this report change over time to reflect the changing nature of banking business. To ensure
that we maintain consistency in the measurement of our variables over time, we check the Y9C
report format available on the Federal Reserve Bank’s website for each quarter. We exclude banks
for the following criteria (1) total assets below 500 million in current or lagged year; (2) zero or
negative equity capital in the current or lagged year; (3) missing data to compute variables in our
tests. Panel A of Table 1 shows that our final sample includes 55,492 bank quarters with 2,006
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unique banks. We use the CRSP-FRB link file from the Federal Reserve Bank of New York’s
website to identify the public banks in our sample. We have 501 unique public (private) banks
with 21,174 (34,318) bank quarter observations.
3.1 Variable definitions
Our main independent variable is bank equity capital deflated by lagged total assets (CAP).
Out dependent variable, loan quality is measured in three different ways: (1) non-performing loan
(NPL); (2) provision for loan losses (LLP); and (3) net charge-offs on loans (NCO). All three are
deflated by lagged total assets. NPLs include all loans on which interest or principal payment is
due for more than 90 days, and are a required disclosure in the Y9C. NPL typically are based on
mechanical classifications and generally bank managers have very little discretion over the level
of NPLs. Loan loss provision reflects the expense accrued on the income statement to reflect an
increase in the future expected loan losses. Provisions are subject to accounting rules and subject
to the discretion of the bank’s management. Charge-offs reflect write-off of loans net of the
recoveries during the current period. While most charge-offs are triggered by exogenous factors,
with timing and magnitude dictated by policies (such as consumer loan charge-offs), there are
others such as commercial loans charge-offs over which the bank management may have higher
discretion on the magnitude and timing.
We control for a host of bank characteristics that can potentially affect the quality of loans.
We control for the growth in loans measured as change in loan over prior quarter deflated by total
assets to capture effects related to loan seasoning (LG). We include log of total assets to control
for the bank’s size (SIZE). We include the ratio of real estate loans to total assets (RE), ratio of
commercial and industrial loans to total assets (COMM) and ratio of consumer loans to total assets
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(CONS) to control for the broad business mix of the bank and credit risk. We control for the
liquidity risk by including the ratio of liquid assets to total assets (LIQUID).We include a measure
of the 12-month maturity gap to control for the interest rate risk faced by the banks (ABSGAP).
To account for cost inefficiency, we include the cost to income ratio measured as non-interest
expense to income before extraordinary items (EFF). We control for the ratio of the fee income to
the total income (FEE) as banks that derive a higher proportion of their income from fee-generating
advisory services would be expected to incur fewer credit-related losses. We include GDP growth
rate to capture macroeconomic conditions that affect loan quality (DELTAGDP). We include
earnings before provision deflated by lagged total assets (EBLLP) to control to capture banks’
management of their reported profitability. See Appendix A for details on data items.
3.2 Construction of proxy for Monitoring Effort
We use two proxies for monitoring effort based on salary expense. Salary expense
measures the labor input into the monitoring process. Although banks may have information
technology based automated processes to monitor loans, loan monitoring still requires significant
labor-intensive gathering of information and evaluation. Thus, monitoring effort is directly related
to the quantity and quality of bank staff, and hence monitoring-related salary expenses. We use
the median adjusted ratio of salary expense to total non-interest expense (SALEXP) in our
computation of our first proxy (ME1) of monitoring effort. One would expect the salary expense
ratio to be driven by size of the bank and its portfolio composition. For example, due to
heterogeneity in commercial loans, they require greater investment in monitoring. Thus, we divide
banks into small, medium and banks based on total assets and then we further divide each group
into sub-groups based on proportion of commercial loans to total assets (COMM). We form these
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9 sub-groups for each quarter. For each bank quarter, we compute the ME1 as the difference
between the SALEXP and the median for that sub group of banks.
Several other non-monitoring factors may also affect the salary expense ratio in addition
to bank size and portfolio composition. Thus, we employ the technique used in Coleman et al.
2006 to compute our second measure of monitoring effort (ME2) filtering out the effects of non-
monitoring factors that may affect this ratio. The proxy for monitoring effort in quarter t is based
on the estimation of a fixed effects regression, with SALEXP as dependent variable and the non-
monitoring factors as independent variables for the quarters t-4 to t-1. The fixed effect regression
coefficients are individual bank specific constants which become our proxy for Monitoring Effort
at the beginning of quarter t. To control for the effect of asset composition on the salary expense
ratio we include portfolio composition (RE, COMM and CONS). Fee-generating activities are
typically labor-intensive and require highly skilled staff. Therefore, we include fee to interest
income ratio (FEE). Salary expense ratio maybe affected by the profit efficiency and liability
composition. Hence, we control for return on assets (ROA) and the ratio of transitory deposits to
lagged total assets (TRANDEP), respectively. To control for scale effects and the network of the
bank, we include log of total assets (SIZE) and log of number of employees (LOGEMP).
3.3 Descriptive Statistics
Table 1 Panel B provides the descriptive statistics of the key variables used in the study for
all the banks and public and private banks separately. We winsorize data at 1% from both tails to
minimize the effects of outliers. The average bank in our sample has an asset base of $16.489
billion (median $1.123 billion) and the mean (median) equity capital to total assets ratio is 9.2%
(8.8%). We provide the distribution of other key variables in the panel. These numbers are in line
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with prior studies involving large bank samples. The statistics indicate that the public banks in our
sample are significantly larger and are statistically different (unreported in the table) on almost all
characteristics, consistent with the notion that differences in control structure and access to capital
markets cause public and private banks to be different. We classify banks by size into three
categories – small, medium and large. Small banks are banks with assets less than or equal to 1
billion. Medium banks are banks with assets more than 1 billion but less than or equal to 3 billion
and large banks are banks with assets above 3 billion. The descriptive statistics are provided
separately for based on size in Panel C of the Table 1.
4 Loan Quality and Equity Capital
Our main analysis is presented in the first three columns of Panel A of Table 2. Since lower
values of loan quality measures indicate higher loan quality, we have multiplied our loan quality
measures (dependent variables) LQ1 (NPL), LQ2 (LLP) and LQ3 (NCO) by -1 to facilitate the
interpretation of the coefficient. The first three columns of the Panel present the results for all the
banks in our sample. Our main variable of interest CAP is positively and significantly (at the 1%
level) associated with each of the three measure of loan quality. In terms of economic significance,
one standard deviation change in CAP (0.030) is associated with a decrease of 0.003 (0.030*0.103)
in NPL, a decrease of 0.0002 (0.030*0.007) in LLP and a decrease of 0.0003 (0.030*0.009) in
NCO, respectively Looking at the average values of these measures, it translates to a decrease of
27% in NPL, 18% in LLP and 28% in NCO, respectively. The coefficient on LG is positive and
significant (at the 1% level) in all three regression specifications consistent with the idea that
quality issues become more apparent as the loans season. The coefficient on SIZE is negative and
significant (at 1% level) for all three measure of loan quality consistent with larger banks having
lower loan quality. The coefficients on loan composition measures are negative and significant
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consistent with the idea that loan composition captures credit risk.5 LIQUID is positively and
significantly association with the LQ1 and LQ2 (the LLP based measure) while ABSGAP is
significantly associated with all three measures of loan quality. The coefficient on EFF is positive
and significant across all three regressions suggesting that banks that have higher cost in proportion
to income have higher loan quality. The coefficient on FEE is positive and significant across all
three measures consistent with the expectation that banks that derive a higher proportion of their
income from fee-generating activities would be expected to incur fewer credit-related losses. The
coefficient on DELTAGDP is positive and significant consistent with loan quality increasing
during economically more favorable times. The coefficient on EBLLP is positive and significant
only in specification where loan quality is measured as negative NCOs.
All regressions include quarter dummies to control for average differences in loan quality
across quarters that are not captured by other exogenous variables. We include bank fixed effects
to account for average differences over time across banks that are not captured by the other
exogenous variables. All regressions are estimated with robust standard errors, clustered by bank,
to control for heteroskedasticity, as well as possible correlation among observations of the same
bank in different years.
4.1 Public vs. Private
Next, we explore whether the association between bank capital and loan quality is different
for public vs. private banks. Public banks differ from private banks in terms of control structure
and ownership. Given the diffused ownership structure of public banks, there is greater potential
for agency conflicts in public banks. Private banks are more likely to be closely held among smaller
5 The omitted category of loans is other loans that includes loans to depository and non-depository financial institutions, loans to government etc. which are relatively less risky than commercial and agricultural loans, real estate and consumer loans.
19
numbers of shareholders, with owner-managers more likely to be majority equity stakeholders.
Thus, with concentrated ownership, private banks likely have lower agency costs as principals can
more easily monitor the actions of the managers and hence private bank managers will be less
likely to shirk monitoring effort, amongst other things. In other words, we would expect bank
capital to provide stronger monitoring incentives for public banks than private banks.
We now estimate the effect of bank capital on loan quality for public and private banks.
The results for private (public) banks are presented in columns 4-6 (7-9) of Panel A of Table 2.
The results show bank capital is positively and significantly associated with all three measures of
loan quality for public as well as private banks. While the association between bank capital and
LQ1 and LQ2 measure is not statistically different for public vs. private banks, the association
between bank capital and LQ2, the LLP based measure of loan quality is statistically more
pronounced for public banks than for private banks at 10% level of significance.
Overall, the results suggest that bank’s equity capital is positively and significantly
associated with each of the three measures of loan quality. Thus, higher the book value of equity,
lower the NPL, LLP and NCO for a bank.
4.2 Size and the association between bank capital and loan quality
Next we investigate whether the positive association between bank capital and loan quality
is different for large and small banks. While the theories that posit a relation between bank capital
and monitoring apply to all banks, we expect monitoring to be more critical to smaller banks than
for larger banks. Small banks deal with more entrepreneurial type businesses where monitoring is
more important. They have the ability to closely monitor the borrowers and their organization
structures enable them to effectively use their informational advantage that arises from the long
20
history of lending and access to confidential information due to geographical proximity (Nakamura
1994). For example, bank uses borrower specific skills while monitoring as referred to in the
Diamond and Rajan (2000, 2001), which is more in line with the relationship lending of smaller
banks. Thus, we would expect the positive association between bank capital and loan quality to
be stronger for smaller banks relative to larger banks. However, larger bank can presumably
monitor more effectively because they have more specialized staff and/or better monitoring
technology which predicts that the association would be stronger for larger banks relative to
smaller banks. In line with the analysis in Berger and Bouwman (2009), we divided our banks as
small, medium and large with total assets less than or equal to 1 billion, between 1 billion and 3
billion and above 3 billion, respectively. Results are presented in Panel B of Table 2. The first
(next) [last] three columns present the results of the main model for the small (medium) [large]
banks. The coefficient on CAP is positive and significant at 1% for all three measures of loan
quality for small and medium size banks. The coefficient on CAP is positive and significant at
10% for LQ1 and at 5% for LQ3 and insignificant for LQ2 for large banks. The association
between CAP and LQ is statistically stronger for all three measures of LQ for small banks relative
to large banks and for LQ1 measure for medium banks relative to large banks, consistent with our
expectations. Overall, bank equity capital is positively associated with loan quality and this
association is most pronounced for small banks.
5 Bank Capital and Ex-ante Measures of Monitoring Effort
5.1 Estimation of monitoring effort
Next we turn to analysis to establish the mechanism through which bank capital affects
loan quality. We use two labor input based proxies to capture banks’ monitoring effort. Our first
21
proxy for monitoring effort is the median adjusted ratio of salary expense to total non-interest
expense (SALEXP). Since salary expense is likely to be affected by bank size and portfolio
composition (for example, commercial loans require greater monitoring effort), we use an adjusted
measure of salary expense (ME1). Specifically, we divide our sample banks into size terciles
(small, medium and large). Then, each size tercile is further divided into terciles based on the ratio
of commercial loans to total assets for each quarter. We compute ME1 as the difference between
the SALEXP and the median for a group of banks that fall in the same tercile for size and portfolio
composition for each quarter. Our empirical results (unreported) suggest that for each size tercile,
SALEXP is increasing in the proportion of commercial loans consistent with heterogeneous
commercial loans requiring greater monitoring effort. The statistics also suggest that SALEXP is
lower for larger banks.
To estimate our second measure ME2, we regress SALEXP on control variables to filter
out the effect of non-monitoring variables on the salary expense ratio. This measured in motivated
by analysis on Coleman et al (2006). The fixed effects regression estimates for the entire time
period are reported in Table 3. Please note that the reported regressions are for information purpose
only as the actual estimation was done on a quarterly basis for each bank involving fixed effects
regression over prior four quarters (quarters t-4 to t-1) to obtain 1,973 bank specific coefficients
across 53,039 bank quarters. These bank specific coefficients, which form our proxy for the
monitoring effort (ME2) at the beginning of quarter t, represent the component of the salary
expense ratio (SALEXP) that is not explained by the impact of non-monitoring factors on salary
expense ratio.
The table includes the regression estimates for all, small, medium and large banks in
columns 1, 2, 3 and 4, respectively. The signs of the coefficients are generally consistent with the
22
analysis in Coleman et al. Consumer loans are typically homogenous in nature and are monitored
as pools. It is more likely that banks use automated models to monitor consumer loans than unique
large sized heterogeneous commercial loans. Consistent with our expectation, commercial loans
are associated with a significantly higher salary expense while consumer loans have a negative
association with the salary expense in the first column that reports the results for all banks. The
negative coefficient of the FEE suggests that banks with a greater proportion of fee income have
a lower ratio of salary to non-interest expense. The coefficient on ROA is positive and significant
suggesting more profitable banks have higher salary expense.
5.2 Bank Capital and Monitoring Effort
While our results show a positive association between bank capital and loan quality, an
outcome of the monitoring effort, theory predicts the link between bank capital and monitoring
incentives (Mehran and Thakor 2011). Hence, we conduct tests to examine the association between
bank capital and our labor input based proxies of monitoring effort.
The results of the fixed effects regression of ME1 and ME2 on bank capital for all banks
are presented in the first two columns of Table 4. We include additional columns 4-8 to present
the results for small, medium and large banks. We do not include any additional controls in this
regression as our ME1 measure is adjusted for size and portfolio composition, and our ME2
measure is computed after controlling for non-monitoring factors that may affect our proxy. In
addition, our fixed effects estimation model mitigates the concern for any time invariant omitted
variables. The coefficient on CAP is positive and significant at the 1% level for ME1 and at 5%
level for ME2 suggesting that bank capital is positively associated with monitoring efforts for all
the banks in our sample. When we divide the sample by size, we find that the association is
23
strongest for small banks relative to medium banks and large banks. In fact, it is insignificant for
large banks consistent with the idea that the role of monitoring discussed in the theoretical models
is more relevant to small banks rather than large banks.
To validate our ex-ante proxies of monitoring effort, we correlate them to the ex-post
proxies of monitoring effort, loan quality. We include all control variables that affect loan quality
included in our main regressions in table 2. Results are presented in Table 5. The association is
positive and significant at 1% level for both the measure ME1 and ME2 for all three measures of
loan quality LQ1, LQ2 and LQ3.
Overall, the results in table 4 and table 5 indicate that monitoring effort is the mechanism
through which bank capital is positively associated with loan quality. These results provide
empirical support the predictions of the Mehran and Thakor (2011) model. A key to their result is
that bank monitoring and capital are positively related in the cross-section. Banks with higher
capital monitor more as higher monitoring increases the survival probability of the bank and
enhances the value of the relationship loan portfolio. Our results validate the mechanism identified
in their model that the positive association between bank capital and loan quality is due to a
positive association between bank capital and monitoring effort.
6 Additional Analysis and robustness tests
6.1 Relationship Lending
In additional tests, we attempt to explore circumstances under which the monitoring effort
would be important and examine whether the association between bank capital and loan quality
(outcome of monitoring effort) is stronger in such settings. One such setting is relationship lending.
Since relationship loans require greater monitoring effort, the relation between bank capital and
24
monitoring effort should be stronger for banks that engage more in relationship lending. Our
empirical tests show that the association between bank capital and monitoring effort for both the
input based proxies and the outcome proxies is stronger for smaller banks relative to larger banks.
Smaller banks are known to engage in higher level of relationship lending than larger banks
(Berger et al. 2005). Hence, we test the association between bank capital and monitoring
conditioned on relationship lending. Song and Thakor (2007) show that banks find it optimal to
finance relationship loans with core deposits. Berlin and Mester (1999) provide empirical evidence
that suggests that banks’ access to core deposits is the foundation of relationship lending. Based
on this insight, we use ratio of core deposits as a proxy for the extent of banks’ relationship lending.
We interact CAP with CORED, a dummy variable that takes the value 1 if the bank has
ratio of core deposits to total assets above median for the quarter; 0 otherwise. Results for the
association between bank capital and monitoring effort and bank capital and loan quality are
presented in Panel A and Panel B of Table 6, respectively. We find that the positive association
between bank capital and monitoring effort obtains only for the sample banks with higher core
deposits as evidenced by the positive and significant coefficient on the interaction between CAP
and CORE for both the measures ME1 (1% level) and ME2 (10% level) but insignificant
coefficient on the main variable CAP in the first two columns. Partitioning on size, we find that
this relation obtains most consistently for small banks, where one would expect higher level of
relationship lending for both the measures. Within small banks, it is incrementally positive for
small banks with higher core deposits. The positive association between bank capital and
monitoring effort is incrementally positive and significant for medium banks and large banks for
ME1 but not ME2.
25
Empirical evidence presented in Panel B of Table 6 confirms the above result using the
outcome measures of loan quality. The association between bank capital and LQ1 and LQ3 is
stronger for banks that engage in relationship lending. This is especially true for small banks where
one would expect the association to be stronger. We do not find consistent results for medium and
large banks. Overall, the results in Panel A and B of Table 6 confirm our conjecture that the
positive association between bank capital and monitoring effort is stronger for banks that engage
in relationship lending, where the role of monitoring is important.
6.2 Banks that issue new capital
Next we examine the association between change in capital and change in monitoring effort
and loan quality (outcome). The changes model allows the firm to act as its own control and
minimizes the concerns relating to omitted variable. Over our sample period, 443 banks (1944
bank-quarters) made secondary equity offerings. We first regress change in in our two monitoring
proxies on a dummy variable, NEWCAP, that takes the value of 1 for banks that issued equity
capital; 0 otherwise. While we do not expect sudden and immediate improvement in monitoring
effort and loan quality within one quarter, we do not have any theory or prior empirical evidence
to guide over what time period we should expect the improvement, if any. Hence, we compute the
change over a period of 4 quarters, 8 quarters and 12 quarters. Results relating to monitoring effort
are presented in Panel C and results relating to loan quality are presented in Panel D of Table 6.
The results in Panel C show that banks that raise capital show a significant increase in monitoring
effort after one year for both the measures ME1 and ME2. Assuming that increased monitoring
efforts will result in improved loan quality with a lag, we find that banks that increase bank capital
show improvement in NPL after 2 years and in each of three measures after three years controlling
for concurrent changes in control variables. Overall, these results suggest that an increase in
26
capital is followed by an increased investment in monitoring effort as well as improved loan
quality.
6.3 Robustness tests
We conduct additional robustness tests to check the sensitivity of our results to financial
crisis, bank participation in the OTD market and loan performance.
Financial Crisis
We repeat the analysis in our main tests for all the banks in our sample to explore the effect
of the financial crisis. The financial crisis of 2007-2008 saw unprecedented losses in the banking
industry. We interact our main variable of interest CAP with CRISIS, a dummy variable equal to
1 if the bank quarter observation falls during the financial crisis period, and zero otherwise. We
define financial crisis period as the quarters spanning 2007Q2 to 2008Q4. Results (unreported)
show that the coefficient on CAP is positive and significant across all three LQ measures.
However, the coefficient on the interaction between CAP*CRISIS is not significant suggesting
that the positive association between bank capital and loan quality is more general and is not
sensitive to the crisis period.
OTD market
Purnanandam (2011) shows that banks with greater involvement in the OTD market during the
pre-crisis period did not expend enough resources in screening their borrowers and originated
excessively poor-quality mortgages, and therefore had higher NPLs and NCOs on these mortgages.
Furthermore, this effect is stronger for capital-constrained banks. Therefore, we repeat our analysis
to explore whether the association between bank capital and loan quality is different for banks that
participate in the OTD market vs. banks that do not. The OTD data is available from 2006Q2. As
27
a result, the sample size is reduced to 26,563 in these tests. We interact CAP with OTD, a dummy
variable that takes the value 1 if that bank participates in the OTD market; 0 otherwise. The
(unreported) results show that while the coefficient on CAP is positive and significant across all
three measures of loan quality, we do not find evidence that this association between bank capital
and loan quality is different for banks that participate in the OTD market vs. banks that do not as
the coefficient on the interaction term is not significant. This result differs from Purnanandam
(2011) in that he finds that participation in the OTD adversely affected screening and monitoring
of mortgage loans. However, there are some important differences between our analysis and
Purnanandam (2011). First, Purnanandam (2011)’s focus is on whether securitization of mortgage
loans weakened screening incentives and hence he measures NLP and NCO for mortgage loans.
Second, his analysis is conducted over a shorter time period of seven quarters around the financial
crisis. However, with the benefit of time, we are able to examine a longer time period (from
2006Q2 to 2015Q1 for this test) and since we are interested in the broader question of the impact
of bank capital on loan quality, we use portfolio level loan quality measure instead of quality of
mortgage loans.
Loan Performance
It is possible that the positive association between bank capital and loan quality may be
obtained due to underlying risk preferences of the bank management. Bank managers may choose
high leverage and at the same time engage in risky loans. Similarly, bank managers may be risk
averse and may choose low leverage and engage in loans that are less risky. While our control
variables that capture risk and our fixed effects estimation (to control for time invariant omitted
variables) should address this concern, we run additional tests to control for loan pricing using
interest income on loans. Our results are robust to the inclusion of this additional control.
28
Regulatory capital
Our analysis has used book value of equity as the proxy for bank capital. However, the
regulators view bank capital as the amount of equity the bank chooses to finance itself with but in
broader terms. Regulatory capital includes other sources of financing such as preferred stock and
adjustments. We have replicated our analysis using Tier One Capital ratio of the bank and find that
all of the results are robust to the use of Tier 1 Capital ratio instead of equity capital.
7 Conclusions
There is theoretical disagreement on whether higher capital incentivizes the bank to
monitor its borrowers or impedes monitoring by shielding the bank from market discipline
imposed by high leverage. One view posits that higher bank capital dissipates value as higher
capital shields manager from market discipline by lessening the discipline imposed by deposit
financing as equity capital lacks the sequential service feature of deposits (Calomiris and Kahn,
1991). Thus, higher capital may result in underinvestment in monitoring (Diamond and Rajan,
2001). An alternate perspective suggests that bank capital strengthens a banks’ monitoring
incentives as shareholders of well capitalized banks have more to lose from bank failure (Holstrom
and Tirole, 1997). In particular, higher capital improves survival probability of the bank and
thereby increases the odds that the manager will be able to harvest the gains from prior investment
in monitoring, which in turn further strengthens monitoring incentives (Mehran and Thakor, 2011).
Given the theoretical disagreement, empirical evidence on this issue is particularly important.
Moreover, the issue of costs and benefit of bank capital has become particularly controversial in
recent years with some advocating much higher capital requirements (Admati et al, 2010) while
others suggesting that higher capital imposes a variety of costs.
29
We empirically examine the association between bank capital and loan quality (an outcome
of monitoring effort) as well as between capital and two proxies for labor input into monitoring
effort. We find that bank capital is positively associated with three measures of loan quality- non-
performing loans, loan loss provisions and net charge-offs, all outcomes of the monitoring process.
This association obtains in the financial crisis period as well as the non-crisis period, whether the
bank participates in the OTD market or not, and whether it is publicly listed or private.
Furthermore, we provide evidence on the mechanism by which bank capital affects loan quality.
Using two salary expense based ex-ante measures of monitoring effort that capture the labor input
into the monitoring process, we document that monitoring effort is the mechanism through which
the bank capital affects loan quality. Overall, our evidence is consistent with predictions in Mehran
and Thakor (2011) that bank capital improves monitoring incentives and hence is positively related
to value in the cross-section. Additional tests show that the association between capital and loan
quality is stronger for smaller banks and banks with higher proportion of relationship loans. We
also find that there is increase in monitoring effort and loan quality for banks that issue capital
during our sample period.
We recognize that our evidence shows a cross-sectional association between bank capital
and loan quality and hence are careful not to draw any inference regarding optimal capital structure
of banks. However, our evidence is important as it provides large sample evidence on an important
benefit of bank capital – its favorable impact of monitoring incentives and loan quality, which is
an important component of bank value.
30
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Appendix A Definitions of Variables and Other Acronyms VARIABLE DESCRIPTION SOURCE ABSGAP Absolute value of one-year maturity gap deflated by total assets Y9C - bhck3197,bhck3296, bhck3298, bhck3409, bhck2170 COMM Agricultural and commercial loans deflated by total assets Y9C - bhck1763, bhck1764, bhck1590, bhck2170 CONS Consumer loans deflated by total assets Y9C - bhck2008, bhck2011, bhckb538, bhckb539, bhck2170 CORE Deposits less than $100,000 deflated by total assets. Y9C - bhcb6648, bhod6648, bhck2170 CORED Dummy variable takes the value 1 if core deposits are above the quarter
median; 0 otherwise.
DELTAGDP GDP growth rate St Louis Federal Reserve website https://research.stlouisfed.org/fred2/ EBLLP Earnings before provision deflated by total assets Y9C - bhck4300, bhck4230, bhck2170 EFF Ratio of non-Interest Expense to income before extraordinary items Y9C - bhck4093, bhck4300, bhck2170 CAP Equity Capital deflated by total assets Y9C - bhck3210, bhck2170 FEE Ratio of fee income to total income (interest income and non-interest
income) Y9C - bhck4079, bhck4107, bhck4079
LARGE Banks with total assets more than $3 billion LG Change in loans deflated by total assets Y9C - bhck2122, bhck2170 LIQUID Bank’s liquid assets deflated by total assets Y9C - bhck0081, bhck0395, bhck0397, bhck1773, bhck1350, bhck0276,bhck0277,
bhdmB987, bhdmB989, bhck2170 LLP Provision deflated by total assets Y9C - bhck4230, bhck2170 LOGEMP Log of total number of employees Y9C - bhck4150 LQ1 NPL multiplied by -1 LQ2 LLP multiplied by -1 LQ3 NCO multiplied by -1 ME1 Adjusted monitoring effort computed as the difference between SALEXP
and MEDIAN SALEXP for the banks that belong to the same tercile based on COMM for small, medium and large banks each quarter
ME2 Adjusted monitoring effect computed as per Coleman, Esho & Sharpe (2006)
MEDIUM Banks with total assets more than $1 billion and less than or equal to $3 billion
NCO Net charge-offs deflated by total assets Y9C - bhck4635, bhck4605, bhck2170 NEWCAP Dummy variable equal to 1 if bank issued equity capital in that quarter Y9C - bhck3577 NPL Non-Performing Loans deflated by Total Assets Y9C - bhck5525,bhck5526, bhck2170 PUBLIC Dummy variable=1 if bank is a public bank; 0 otherwise CRSP-FRB link file from
https://www.newyorkfed.org/research/banking_research/datasets.html RE Real estate loans deflated by total assets Y9C - bhck1410, bhck2170 ROA Net Income deflated by total assets Y9C - bhck4300, bhck2170 SALEXP Ratio of salary expense to total non-interest expense Y9C - bhck4135,bhck4093 SIZE Log of total assets Y9C - bhck2170 SMALL Banks with total assets less than or equal to $1 billion TA Total assets Y9C - bhck2170 TRANDEP Transaction deposits deflated by total assets bhcb2210, bhcb3187, bhcb2389, bhod3189 , bhod3187, bhod2389, bhdm6631,
bhdm6636, bhfn6631, bhfn6636, bhck2170
34
Table 1 Sample Selection and Descriptive Statistics
Panel A: Sample selection
ALL PUBLIC PRIVATE
#BANK-
QUARTERS #BANKS
#BANK- QUARTERS
#BANKS #BANK-
QUARTERS #BANKS
Y9C filings with non-missing total assets and net income between 1994Q1-2015Q1 123,305 3,887 30,777 584 92,528 3,303 After deleting banks with total assets < 500 million 62,906 2,119 23,565 504 39,341 1,615 After deleting banks with missing data (and using 1994Q1 for lag) 55,681 2,006 21,225 503 34,456 1,503 Final sample after deleting banks with negative equity capital 55,492 2,006 21,174 503 34,318 1,503
Panel B: Summary statistics
ALL PUBLIC PRIVATE VARIABLES N MEAN MEDIAN STDDEV N MEAN MEDIAN STDDEV N MEAN MEDIAN STDDEV NPLt 55,492 0.011 0.006 0.015 21,174 0.010 0.005 0.014 34,318 0.012 0.007 0.016
LLPt 55,492 0.001 0.001 0.002 21,174 0.001 0.001 0.002 34,318 0.001 0.000 0.002
NCOt 55,492 0.001 0.000 0.002 21,174 0.001 0.000 0.002 34,318 0.001 0.000 0.002
CAPt-1 55,492 0.092 0.088 0.030 21,174 0.091 0.088 0.024 34,318 0.092 0.087 0.032
SALEXPt-1 55,492 0.524 0.534 0.082 21,174 0.519 0.528 0.076 34,318 0.526 0.539 0.086
ME2t-1 55,492 (0.008) - 0.075 21,174 (0.008) - 0.071 34,318 (0.008) - 0.078
LGt-1 55,492 (0.000) 0.001 0.023 21,174 0.000 0.001 0.021 34,318 (0.000) 0.001 0.024
TAt-1(inbillions) 55,492 16.489 1.123 112.445 21,174 29.095 2.022 167.438 34,318 8.712 0.917 54.675
REt-1 55,492 0.460 0.470 0.161 21,174 0.454 0.460 0.153 34,318 0.464 0.476 0.166
COMMt-1 55,492 0.119 0.105 0.078 21,174 0.120 0.106 0.074 34,318 0.118 0.104 0.080
CONSt-1 55,492 0.046 0.022 0.063 21,174 0.053 0.032 0.060 34,318 0.042 0.016 0.064
LIQUIDt-1 55,492 0.242 0.226 0.115 21,174 0.235 0.222 0.103 34,318 0.247 0.230 0.121
ABSGAPt-1 55,492 0.166 0.136 0.131 21,174 0.160 0.133 0.125 34,318 0.170 0.139 0.134
EFFt-1 55,492 3.712 2.821 11.639 21,174 3.571 2.738 9.229 34,318 3.799 2.892 12.903
FEEt-1 55,492 0.178 0.153 0.130 21,174 0.185 0.160 0.119 34,318 0.174 0.148 0.136
DELTAGDPt 55,492 4.145 4.700 2.918 21,174 4.374 4.700 2.904 34,318 4.004 4.600 2.918
EBLLPt 55,492 0.003 0.003 0.002 21,174 0.003 0.003 0.002 34,318 0.003 0.003 0.003
TRANDEPt-1 55,492 0.580 0.579 0.155 21,174 0.585 0.580 0.151 34,318 0.576 0.578 0.158
ROAt-1 55,492 0.002 0.002 0.003 21,174 0.002 0.003 0.003 34,318 0.002 0.002 0.003
LOGEMPt-1 55,492 6.215 5.778 1.372 21,174 6.755 6.315 1.486 34,318 5.882 5.557 1.180
NEWCAPt-1 55,492 0.035 - 0.183 21,174 0.045 - 0.208 34,318 0.028 - 0.165
COREt-1 55,492 0.187 0.182 0.099 21,174 0.181 0.178 0.097 34,318 0.190 0.185 0.101
35
Panel C: Summary statistics small, medium and large banks
SMALL MEDIUM LARGE VARIABLES N MEAN MEDIAN STDDEV N MEAN MEDIAN STDDEV N MEAN MEDIAN STDDEV NPLt 24,650 0.012 0.006 0.016 17,394 0.012 0.006 0.016 13,448 0.010 0.006 0.014
LLPt 24,650 0.001 0.000 0.002 17,394 0.001 0.001 0.002 13,448 0.001 0.001 0.002
NCOt 24,650 0.001 0.000 0.002 17,394 0.001 0.000 0.002 13,448 0.001 0.001 0.002
CAPt-1 24,650 0.090 0.087 0.028 17,394 0.091 0.087 0.030 13,448 0.094 0.089 0.031
SALEXPt-1 24,650 0.538 0.544 0.073 17,394 0.525 0.536 0.082 13,448 0.496 0.513 0.092
ME2t-1 24,650 (0.005) - 0.068 17,394 (0.009) - 0.075 13,448 (0.013) - 0.087
LGt-1 24,650 0.000 0.001 0.024 17,394 (0.000) 0.001 0.023 13,448 0.000 0.001 0.022
TAt-1(inbillions) 24,650 0.701 0.675 0.138 17,394 1.651 1.497 0.545 13,448 64.621 9.595 221.626
REt-1 24,650 0.498 0.503 0.143 17,394 0.476 0.486 0.153 13,448 0.370 0.376 0.169
COMMt-1 24,650 0.114 0.098 0.075 17,394 0.117 0.100 0.078 13,448 0.130 0.121 0.081
CONSt-1 24,650 0.037 0.018 0.053 17,394 0.041 0.017 0.058 13,448 0.069 0.047 0.078
LIQUIDt-1 24,650 0.244 0.230 0.114 17,394 0.244 0.229 0.114 13,448 0.238 0.216 0.116
ABSGAPt-1 24,650 0.151 0.120 0.124 17,394 0.157 0.127 0.127 13,448 0.207 0.189 0.139
EFFt-1 24,650 3.954 2.947 12.536 17,394 3.668 2.807 11.893 13,448 3.328 2.678 9.368
FEEt-1 24,650 0.152 0.134 0.109 17,394 0.167 0.148 0.120 13,448 0.240 0.206 0.155
DELTAGDPt 24,650 4.045 4.600 2.956 17,394 4.068 4.600 2.937 13,448 4.428 4.800 2.805
EBLLPt 24,650 0.003 0.003 0.002 17,394 0.003 0.003 0.003 13,448 0.004 0.003 0.003
TRANDEPt-1 24,650 0.561 0.555 0.145 17,394 0.585 0.582 0.152 13,448 0.606 0.618 0.173
ROAt-1 24,650 0.002 0.002 0.003 17,394 0.002 0.002 0.003 13,448 0.002 0.003 0.003
LOGEMPt-1 24,650 5.298 5.298 0.429 17,394 6.019 6.009 0.545 13,448 8.151 7.876 1.309
NEWCAPt-1 24,650 0.024 - 0.154 17,394 0.036 - 0.186 13,448 0.052 - 0.222
COREt-1 24,650 0.211 0.207 0.096 17,394 0.188 0.183 0.096 13,448 0.141 0.131 0.094
Panel A of this table reports the sample selection process. Panel B of this table reports the mean, median and standard deviation for the primary variables used in this study for all banks, public banks and private banks. Panel C reports the descriptive statistics for the small, medium and large banks. Variables are defined in Appendix A.
36
Table 2 Capital and Loan Quality
PANEL A: Association between Capital and Loan Quality
ALL PUBLIC PRIVATE VARIABLES LQ1t LQ2t LQ3t LQ1t LQ2t LQ3t LQ1t LQ2t LQ3t (1) (2) (3) (4) (5) (6) (7) (9) (9) CAPt-1 0.103*** 0.007*** 0.009*** 0.107*** 0.009*** 0.009*** 0.109*** 0.006*** 0.009*** (8.592) (5.166) (6.895) (5.593) (4.326) (4.793) (7.309) (3.331) (5.387) LGt-1 0.017*** 0.002*** 0.002*** 0.014*** 0.002** 0.002*** 0.019*** 0.002*** 0.002*** (6.711) (3.498) (5.221) (3.112) (2.276) (2.771) (6.138) (2.661) (4.444) SIZEt-1 -0.000 -0.001*** -0.000*** -0.002* -0.000*** -0.000*** 0.001 -0.001*** -0.000* (-0.711) (-7.333) (-3.519) (-1.777) (-4.972) (-2.640) (1.346) (-5.290) (-1.950) REt-1 -0.007* -0.001*** -0.001** -0.014** -0.002*** -0.001** -0.002 -0.001* -0.001 (-1.722) (-3.641) (-2.508) (-2.119) (-3.189) (-2.300) (-0.415) (-1.880) (-1.361) COMMt-1 -0.000 -0.002*** -0.001* -0.006 -0.002*** -0.001* 0.003 -0.002** -0.001 (-0.043) (-3.258) (-1.865) (-0.650) (-2.982) (-1.675) (0.360) (-2.142) (-1.279) CONSt-1 -0.012** -0.004*** -0.004*** 0.009 -0.002* -0.002** -0.027*** -0.005*** -0.006*** (-2.071) (-4.990) (-5.806) (1.108) (-1.752) (-2.485) (-3.884) (-4.916) (-5.473) LIQUIDt-1 0.006* 0.001*** 0.000 0.008 0.001*** 0.001** 0.004 0.001** 0.000 (1.720) (3.039) (1.195) (1.485) (2.989) (2.343) (1.024) (2.021) (0.059) ABSGAPt-1 0.003* 0.000** 0.000** -0.000 0.000 0.000 0.005** 0.000* 0.000** (1.764) (2.288) (2.292) (-0.051) (1.146) (0.952) (2.492) (1.905) (2.218) EFFt-1 0.000*** 0.000*** 0.000*** 0.000 0.000*** 0.000*** 0.000*** 0.000** 0.000** (2.996) (3.004) (2.941) (1.568) (2.979) (3.223) (2.662) (2.036) (2.001) FEEt-1 0.007** 0.001*** 0.001*** 0.008** 0.002*** 0.002*** 0.006 0.001** 0.001** (2.498) (3.427) (3.386) (2.455) (3.007) (3.052) (1.616) (2.233) (2.198) DELTAGDPt-1 0.001*** 0.000*** 0.000*** 0.000** 0.000*** 0.000*** 0.001*** 0.000*** 0.000*** (4.710) (5.237) (5.339) (2.357) (5.245) (4.914) (4.312) (2.734) (3.263) EBLLPt-1 0.005 0.044*** 0.036 0.049*** -0.018 0.039** (0.318) (3.452) (1.472) (2.612) (-0.850) (2.268) QTRDUMMIES YES YES YES YES YES YES YES YES YES BANKFE YES YES YES YES YES YES YES YES YES N 55,492 55,492 55,492 21,174 21,174 21,174 34,318 34,318 34,318 ADJ.R-SQ. 0.364 0.234 0.225 0.457 0.300 0.290 0.316 0.205 0.195
37
PANEL B: Size and Association between Capital and Loan Quality SMALL MEDIUM LARGE VARIABLES LQ1t LQ2 t LQ3 t LQ1t LQ2 t LQ3 t LQ1t LQ2 t LQ3 t (1) (2) (3) (4) (5) (6) (7) (8) (9) CAPt-1 0.171*** 0.009*** 0.014*** 0.132*** 0.007*** 0.011*** 0.039* 0.003 0.005** (7.859) (4.565) (6.212) (6.508) (2.884) (4.654) (1.751) (1.271) (2.030) LG t-1 0.015*** 0.001* 0.002*** 0.015*** 0.001 0.002** 0.012* 0.002* 0.002*** (4.261) (1.755) (3.113) (3.447) (1.099) (2.247) (1.847) (1.815) (2.590) SIZE t-1 0.006*** -0.001*** -0.000 -0.003 -0.001*** -0.001*** 0.001 -0.000* 0.000 (3.266) (-3.872) (-0.201) (-1.372) (-5.641) (-3.095) (0.916) (-1.781) (0.388) RE t-1 -0.004 -0.002* -0.001* -0.002 -0.002*** -0.001** -0.021** -0.001** -0.001 (-0.509) (-1.714) (-1.808) (-0.297) (-3.107) (-2.125) (-2.312) (-1.997) (-1.330) COMM t-1 -0.004 -0.005*** -0.003** 0.013 -0.002* -0.001 -0.010 -0.002 -0.001 (-0.394) (-3.348) (-2.288) (1.130) (-1.843) (-1.122) (-1.067) (-1.513) (-1.181) CONS t-1 -0.016* -0.003** -0.002** -0.014 -0.002** -0.003*** -0.002 -0.005*** -0.005*** (-1.844) (-2.280) (-2.527) (-1.326) (-2.485) (-3.824) (-0.249) (-3.097) (-3.750) LIQUID t-1 0.002 0.001 -0.000 0.010* 0.001* 0.000 0.004 0.001** 0.001 (0.292) (1.289) (-0.199) (1.672) (1.721) (0.798) (0.528) (2.363) (1.218) ABSGAP t-1 0.003 0.000** 0.000** 0.005** 0.001* 0.001** 0.001 0.000 -0.000 (1.239) (1.996) (2.199) (2.181) (1.685) (2.206) (0.176) (0.281) (-0.102) EFF t-1 0.000 0.000 0.000 0.000** 0.000* 0.000* 0.000 0.000*** 0.000*** (1.270) (0.705) (0.538) (2.308) (1.911) (1.956) (1.384) (3.774) (3.737) FEE t-1 0.012*** 0.001* 0.001** -0.000 0.001* 0.001** 0.008** 0.001** 0.002*** (3.951) (1.886) (2.082) (-0.077) (1.958) (2.061) (2.005) (2.326) (2.613) DELTAGDP t-1 0.001*** 0.000 0.000*** 0.001** -0.000 0.000 0.001*** 0.000*** 0.000*** (5.148) (1.589) (3.206) (2.023) (-0.078) (1.231) (3.507) (6.617) (6.200) EBLLP t-1 -0.034 0.031 0.028 0.067*** 0.014 0.014 (-1.289) (1.513) (1.060) (3.081) (0.449) (0.654) QTR DUMMIES YES YES YES YES YES YES YES YES YES BANK FE YES YES YES YES YES YES YES YES YES N 24,650 24,650 24,650 17,394 17,394 17,394 13,448 13,448 13,448 ADJ. R-SQ. 0.345 0.185 0.173 0.353 0.230 0.227 0.426 0.322 0.307
Notes: Panel A of this table reports the results of the fixed effects regression of loan quality measures on bank capital and other control variables for all the banks in the sample period 1994Q2-2015Q1 in columns 1-3, for public banks in columns 4-6 and private banks in columns 7-9. Panel B of this table reports the results of the fixed effects regression for small, medium and large banks in columns 1-3, columns 4-6 and columns 7-9, respectively. Variables are defined in Appendix A. T-statistics are in parenthesis. All standard errors are robust, clustered by bank. Levels of significance are denoted as follows: * if p<0.10; ** if p<0.05; *** if p<0.01.
38
Table 3 Estimation of Monitoring Effort based on Coleman et al. 2006
ALL SMALL MEDIUM LARGE VARIABLES SALEXPt-1 SALEXPt-1 SALEXPt-1 SALEXPt-1 (1) (2) (3) (4) REt-1 0.028* 0.042** 0.045* -0.013 (1.879) (2.570) (1.950) (-0.471) COMMt-1 0.077*** 0.030 0.089* 0.072 (3.035) (1.019) (1.904) (1.625) CONSt-1 -0.151*** -0.075** -0.152*** -0.199*** (-4.679) (-2.158) (-3.349) (-3.304) FEEt-1 -0.103*** -0.092*** -0.073*** -0.143*** (-7.076) (-5.112) (-4.052) (-5.105) TRANDEPt-1 0.014 0.008 0.030 0.020 (0.969) (0.549) (1.284) (0.672) SIZEt-1 -0.032*** -0.002 -0.011 -0.042*** (-3.760) (-0.203) (-0.870) (-4.092) ROAt-1 8.428*** 7.074*** 8.657*** 9.374*** (35.198) (20.527) (24.409) (17.074) LOGEMP 0.032*** 0.042*** 0.015 0.046*** (3.044) (5.277) (0.923) (3.735) QTR DUMMIES YES YES YES YES BANK FE YES YES YES YES N 55,492 24,650 17,394 13,448 ADJ. R-SQ. 2,006 1,413 910 538
This table reports the results of the fixed effects regression of the salary expense ratio (SALEXP) on the non-monitoring factors for all, small, medium and large banks for the entire time period. These regressions for the pooled sample are given for the sake of brevity. We estimate monitoring effort for the quarter using rolling regressions. To estimate monitoring effort for the quarter by bank, we regress the SALEXP (salary expense ratio) on a set of control variables for the previous four quarters (t-1 to t-4). The regression produces bank specific constants which serve as our proxy for the ME2 by that bank at the beginning of quarter t. We run the regressions separately for small, medium and large banks. Variables are defined in Appendix A. T-statistics are in parenthesis. All standard errors are robust, clustered by bank. Levels of significance are denoted as follows: * if p<0.10; ** if p<0.05; *** if p<0.01.
39
Table 4
Capital and Ex-ante Measures of Monitoring Effort
ALL SMALL MEDIUM LARGE
VARIABLES ME1t-1 ME2t-1 ME1t-1 ME2t-1 ME1t-1 ME2t-1 ME1t-1 ME2t-1
(1) (2) (3) (4) (5) (6) (7) (8)
CAPt-1 0.233*** 0.102** 0.513*** 0.316*** 0.386*** 0.127* -0.057 -0.057
(4.052) (2.057) (7.302) (4.692) (4.369) (1.887) (-0.562) (-0.523)
QTR DUMMIES YES YES YES YES YES YES YES YES
BANK FE YES YES YES YES YES YES YES YES
N 55,492 24,650 17,394 13,448 53,039 24,388 17,100 11,551
R-SQ. 0.013 0.003 0.031 0.229 0.032 0.126 0.0316 0.006
This table reports the results of the fixed effects regression of ex-ante measures of monitoring effort (ME1 and ME2) on bank capital. Variables are defined in Appendix A. T-statistics are in parenthesis. All standard errors are robust, clustered by bank. Levels of significance are denoted as follows: * if p<0.10; ** if p<0.05; *** if p<0.01.
40
Table 5
Validation of Ex-ante measure of Monitoring Effort - Association between Loan Quality and Monitoring Effort
ME=ME1 ME=ME2
VARIABLES LQ1t LQ2 t LQ3 t LQ1t LQ2 t LQ3 t
(1) (2) (3) (4) (5) (6)
ME t-1 0.044*** 0.004*** 0.004*** 0.013*** 0.001*** 0.001*** (15.958) (12.154) (14.157) (7.297) (3.679) (5.321)
CONTROL VARIABLES YES YES YES YES YES YES QTR DUMMIES YES YES YES YES YES YES BANK FE YES YES YES YES YES YES
N 55,492 55,492 55,492 53,039 53,039 53,039
ADJ. R-SQ. 0.384 0.241 0.234 0.353 0.233 0.221
This table reports results for the regressing of loan quality on ex-ante measures of monitoring effort computed in Table 4, controlling for other determinants of loan quality. . Variables are defined in Appendix A. T-statistics are in parenthesis. All standard errors are robust, clustered by bank. Levels of significance are denoted as follows: * if p<0.10; ** if p<0.05; *** if p<0.01.
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TABLE 6
Panel A: Monitoring Effort and Relationship Lending ALL SMALL MEDIUM LARGE
VARIABLES ME1t-1 ME2t-1 ME1t-1 ME2t-1 ME1t-1 ME2t-1 ME1t-1 ME2t-1
(1) (2) (3) (4) (5) (6) (7) (8)
CAPt-1 0.071 0.054 0.348*** 0.200*** 0.192* 0.065 -0.118 -0.017
(1.018) (0.868) (4.307) (2.676) (1.833) (0.717) (-1.018) (-0.136)
CAP*CORED t-1 0.366*** 0.097* 0.284*** 0.199*** 0.407*** 0.141 0.252** -0.162
(5.493) (1.811) (3.851) (2.941) (3.457) (1.259) (1.974) (-0.908)
CORED t-1 -0.043*** -0.015** -0.033*** -0.023*** -0.048*** -0.014 -0.031** 0.002
(-6.867) (-2.474) (-4.747) (-3.506) (-4.539) (-1.359) (-2.493) (0.085)
QTR DUMMIES YES YES YES YES YES YES YES YES
BANK DUMMIES YES YES YES YES YES YES YES YES
N 55,492 53,039 24,650 24,388 17,394 17,100 13,448 11,551 R-SQ. 0.013 0.032 0.003 0.126 0.031 0.0316 0.229 0.006
Panel B: Loan Quality, Capital and Relationship Lending ALL SMALL MEDIUM LARGE VARIABLES LQ1t LQ2t LQ3t LQ1t LQ2t LQ3t LQ1t LQ2t LQ3t LQ1t LQ2t LQ3t (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) CAPt-1 0.074*** 0.006*** 0.007*** 0.144*** 0.008*** 0.011*** 0.105*** 0.009*** 0.011*** 0.022 0.003 0.004** (6.479) (4.700) (5.596) (6.916) (3.480) (4.446) (5.443) (3.070) (4.269) (1.145) (1.396) (1.978) CAP*COREDt-1 0.061*** 0.000 0.003** 0.043** 0.001 0.005** 0.045 -0.005* -0.002 0.082** 0.002 0.005 (3.823) (0.199) (2.018) (2.173) (0.481) (2.302) (1.376) (-1.707) (-0.554) (2.112) (0.568) (1.300) COREDt-1 -0.010*** -0.000*** -0.001*** -0.007*** -0.000 -0.001*** -0.008*** 0.000 -0.000 -0.014*** -0.001** -0.001*** (-6.374) (-3.029) (-4.546) (-3.328) (-1.539) (-3.101) (-2.826) (0.057) (-0.873) (-3.303) (-2.462) (-2.943) CONTROLS YES YES YES YES YES YES YES YES YES YES YES YES QTRDUMMIES YES YES YES YES YES YES YES YES YES YES YES YES BANKDUMMIES YES YES YES YES YES YES YES YES YES YES YES YES N 55,492 55,492 55,492 24,650 24,650 24,650 17,394 17,394 17,394 13,448 13,448 13,448 DJ.R-SQ. 0.378 0.238 0.230 0.350 0.186 0.175 0.364 0.233 0.231 0.454 0.332 0.320
42
Panel C: Changes in Monitoring Effort for banks that issued Capital
Δ IS MEASURED OVER 4 quarters 8 quarters 12 quarters VARIABLES ΔME1t-1 ΔME2t-1 ΔME1t-1 ΔME2t-1 ΔME1t-1 ΔME2t-1 (1) (2) (3) (4) (5) (6) NEWCAPt-1 0.009*** 0.009*** 0.010*** 0.004 0.011*** ‐0.002 (3.691) (3.095) (3.253) (0.882) (3.188) (‐0.564) QTR DUMMIES YES YES YES YES YES YES BANK FE YES YES YES YES YES YES N 47,037 44,362 40,006 37,462 33,985 32,006 R-SQ. 0.005 0.002 0.006 0.003 0.005 0.003
Panel D: Changes in Loan Quality Measures for banks that issued Capital
Δ IS MEASURED OVER 4 quarters 8 quarters 12 quarters VARIABLES ΔLQ1t ΔLQ2t ΔLQ3t ΔLQ1t ΔLQ2t ΔLQ3t ΔLQ1t ΔLQ2t ΔLQ3t (1) (2) (3) (4) (5) (6) (7) (8) (9) NEWCAPt-1 0.000 -0.001 -0.001 0.002** -0.000 -0.000 0.004*** 0.001** 0.001* (0.584) (-1.415) (-1.630) (2.043) (-0.004) (-0.272) (3.511) (2.138) (1.891) ΔCONTROLS YES YES YES YES YES YES YES YES YES QTR DUMMIES YES YES YES YES YES YES YES YES YES BANK FE YES YES YES YES YES YES YES YES YES N 47,037 47,037 47,037 40,006 40,006 40,006 33,985 33,985 33,985 ADJ. R-SQ. 0.180 0.341 0.346 0.284 0.352 0.358 0.341 0.360 0.364
Table 7 reports the results for the additional tests. Panel A reports the results of the regression of the ex-ante measures of monitoring effort (ME1 and ME2) on bank capital conditional on the level of CORE deposits in the bank. CORED is a dummy variable that takes the value 1 if the level of core deposits for the bank is above the quarter median; 0 otherwise. Panel B reports the results for the regression of loan quality on bank capital, controlling for other variables that affect loan quality. Panel C reports the results for the changes model for the regression of the ex-ante measures of monitoring effort (ME1 and ME2). The ME variable is differenced over 4 quarters, 8 quarters and 12 quarters, respectively. The variable NEWCAP is a dummy variable that takes value 1 if the bank issued new equity capital; 0 otherwise. Panel D reports the results for the changes model for the regression of loan quality on bank capital, controlling for other variables that affect loan quality. The three loan quality variables and all the control variables are differenced over 4 quarters, 8 quarters and 12 quarters, respectively.