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Working Pauer 9307

LOAN SALES, IMPLICIT CONTRACTS, AND BANK STRUCTURE
by Joseph G. Haubrich and James B. Thomson

Joseph G. Haubrich is an economic advisor and James B.
Thomson is an assistant vice president and economist at the
Federal Reserve Bank of Cleveland. The authors would like
to thank Christopher Pike for excellent research assistance,
Allen Berger for advice and for sharing his capital
programs, and Rebecca Demsetz for helpful comments.
Working papers of the Federal Reserve Bank of Cleveland
are preliminary materials circulated to stimulate discussion
and critical comment. The views stated herein are those of
the authors and not necessarily those of the Federal Reserve
Bank of Cleveland or of the Board of Governors of the
Federal Reserve System.

October 1993

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ABSTRACT

We document some recent changes in the market for loan sales.
We use a Tobit model to characterize the determinants of loan sales
and purchases by banks, relating quantities bought and sold to bank
size, capital, risk, and fbnding mode. The results, though not
definitive, broadly confirm the Pennacchi model of sales. Other
data cast doubt on the importance of mergers and acquisitions for
this market and on the comparability of different data sources.

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I. INTRODUCTION
A revolution now challenges the very essence of traditional banking: making and booking

loans. Increasingly, banks both large and small sell their commercial and industrial loans. These
sales take place without a guarantee from the government or the bank, and without being bundled
into securities. The ramifications of a closely held asset becoming a marketable security oblige
bank managers, regulators, and policymakers to rethink the role banks play in the economy and
the role government plays in the banking sector.
The emerging loan sales market can illuminate a number of issues. It offers a chance to
observe a new market developing in a regulated industry whose reporting requirements guarantee
a wealth of data not usually available. It provides a laboratory for studying the origination and
information functions of bank lending, separate from the investment hnction. From a public
policy perspective, an understanding of the loan sales market is important in assessing the
importance and competitiveness of domestic banks. For example, recent reports on foreign bank
lending in the United States missed the distinction between loans held and loans originated and
thereby overstated the involvement of foreign banks.
To hlly comprehend the implications of loan sales for financial intermediation, we need to
understand what caused the surge in loan sales. To what extent have regulations and market
pressures -- binding capital requirements, the need to diversifjr, or a shift in regional economies -created the demand and supply? Moreover, have hndamental changes in institutions and
information technology allowed the loan sale to become a feasible contract, and thus a suitable
solution for these problems?
The answers to these questions will determine whether loan sales are here to stay, or
whether they represent an epiphenomenon on the financial scene, their market vulnerable to a shiR
in regulation or leverage policy. Even accepting the hypothesis of a shiR in information
technology leaves many open questions. On the one hand, a technology that makes bank loans
marketable may lead to disintermediation. The number of loans with which banks have a special
advantage declines as the supply of nonmarketable assets dwindles. On the other hand, the
technology may allow banks to make and book loans that even they previously found too

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information-intensive. Thus, banks retain their traditional role as intermediaries, but with slightly
different assets.
While the ultimate goal of this research is to understand the factors that drive the loan
sales market, the present paper has a much more modest goal. We aim to characterize the
determinants of loan sales and purchases by banks, and thus to understand the importance of size,
capital, and hnding mode in the decision to buy and sell loans. We hope this work serves as a
foundation for more advanced studies that more directly confront the basic issues of why the loan
sale is a credible contract and how shifts in information technology, regulatory practice, and
market forces influence the market. Still, by digging into the details we can begin to answer these
questions. We can find out how bank size and capital affect loan sales, and how important
"informationally special" transactions -- such as sales of well-collateralized merger and acquisition
loans, or sales to subsidiaries -- are in the market.
The general strategy of our work is to use the individual bank data from the Federal
Financial Institutions Examination Council's Quarterly Reports of Income and Condition (call
reports) to estimate the determinants of loan sales and purchases. We supplement these results by
examining other data sources, such as the Federal Reserve's Senior Loan OEcer Opinion Survey
and Weekly Reporting Banks series. The sample period includes the recent recession and the
downturn in the loan sales market and thus provides an opportunity to take a deeper look at these
issues. One distinguishing feature of our work on the econometric side is the use of Tobit
analysis. This has the advantage of explicitly taking into account the many banks that do not sell
(or buy) loans, without ignoring the information about the volume of those who do participate. Its
disadvantage is that correcting for heteroskedasticity and autocorrelation is more difficult.
The remainder of the paper is as follows: Section I1 describes the basic institutional details
of the loan sales market. The difference between selling loans and selling stocks and bonds lies
behind the theoretical and empirical issues addressed in sections I11 and IV.

Section I11 presents

a quick overview of a theory we use to organize our thoughts on the market, and section IV, the

' More detailed information appears in Haubrich (1989), Gorton and Haubrich (1990), and Gorton (1991).

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heart of the paper, presents the empirical results. Conclusions and suggestions for fbture work
appear in section V.

n. THE LOAN SALES MARKET
A bank sells a loan by promising its payment stream to the buyer. In the most common
type of loan sale, the participation, the original contract between the bank and the borrower
remains in place, and the bank continues to collect payments, oversee the collateral, and examine
the books. In many cases (termed silent participations), the borrower does not even know that
the loan has been sold. A less common but still important type of loan sale, the assignment,
transfers the debtor-creditor relationship to the buyer, giving the buyer some rights to take direct
action against the borrower. Assignments do not completely remove the original bank from the
picture, however, because that bank may retain obligations, such as loan commitments, to the
borrower. The rarest and most complete type of loan sale is the novation. Like the sale of a
stock or bond, a novation completely transfers all rights and obligations of the selling bank to the
buyer; the originator leaves the picture entirely.
Two legal and accounting issues shape the loan sales market. Banks want to remove the
loan from their balance sheet and also desire to avoid federal securities laws. To remove the loan
from the balance sheet, and ti-eat the transaction as an asset sale rather than a borrowing, the bank
must show that the risk of the loan has been shifted to the buyer. This means that the entire loan
must be sold off, that the seller bank can provide no recourse to the buyer, and that the loan must
be sold to maturity. (For more detail, see Morris [1991] or Gorton and Haubrich [1990].)
Banks also hope to avoid having loan sales classified as securities, thereby sidestepping
federal securities regulation and the associated disclosure laws, reporting requirements, and
increased legal penalties. In addition, they hope to stay clear of any brush with the Glass-Steagall
prohibitions against underwriting securities. The courts have generally held that loan sales are not
securities, in part because banks have taken pains to structure the contracts properly. For
example, loans are rarely resold because such a resale would make the loan look too much like a
security.

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Banks sell several types of loans. Asset Sales Report, a newsletter, tracks loan sales for
nine major banks. As of January 25, 1993, the total balance outstanding for this group was
$58 billion, of which $5 billion was in loans with maturities under a year, and $53 billion was in
loans with maturities of one year or more. Maturity has increased as the market has developed.
In the early 1980s, banks mainly sold short-term (under 90 days) domestic commercial and
industrial (C&I) loans made to investment-grade (BBB or better) borrowers. Since then, maturity
has lengthened and loans to lower-quality borrowers have predominated. Among large banks, the
share of outstanding loans sold that were obligations to investment-grade borrowers dropped to
37 percent by 1989.
Loans are bought and sold by many types of banks, though large banks, both foreign and
domestic, predominate. Nonbank (and even noniinancial) firms also buy loans, which results in
some loans leaving the banking system entirely. Loan purchases by foreign banks and nonbank
firms limit the scope of our empirical results, which depend on the bank call reports, and so are
restricted to domestic banks and insured domestic ofices of foreign banks. Table 1 lists the top
25 domestic sellers and buyers of loans. Though large banks figure prominently in both panels,
they dominate less on the purchase side.
The final notable aspect of this market is its pricing structure. Prices of highly rated loans
closely track commercial paper and LIBOR. Not surprisingly, yields on lower-rated loans show a
greater spread. Asset Sales Report (February 1, 1993) lists the spread between the 30-day A l p 1
loan sales yield and commercial paper as -2 basis points, showing that short-term loans can even
sell at a premium to commercial paper. For loans with the lower rating of A2P2, the spread was
18 basis points.

nI.

THEORETICAL BACKGROUND
As a basic framework to think about the issues surrounding loan sales, we use a simplified

version of the model developed by Pennacchi (1988).2 This model is a state-preference version of
the Miller (1977) debt model as extended to banks by Orgler and Taggart (1983). Corporate
For a somewhat different approach, see Mester (1992) or Carlstrom and Samolyk (1993).

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income taxation gives a tax advantage to debt, but debt increases agency and bankruptcy costs,
providing a determinate debt-to-equity ratio.
In this version of the model, the bank adds value by providing monitoring services. If it
-

monitors a loan at level a=a, the loan will not default and will provide a certain return of (l+rn).
-

If the bank monitors at a level below a , then the loan defaults with certainty.
Apart from selling loans, banks have two sources of fbnds: deposits and equity. Deposits
have a tax advantage in that their interest is deductible as a business expense, but they have an
additional cost of reserve requirements. Banks have a constraint on these fbnding sources,
namely, a capital requirement that the debt (that is, deposit) to equity ratio not exceed a limit

c. If

we denote the return on deposits as rd and the return on equity as re, the marginal cost of raising
funds internally, q , is given by

where t is the corporate tax rate and p is the reserve requirement. Without loan sales, the bank
makes loans until the return on the loan, net of monitoring costs, equals the cost of fbnds needed
-

to fund the loan, or q=rn- c a .
Loan sales introduce a new fbnding possibility. The bank can now make a loan and sell a
fraction b of it. This sold fraction is removed from the bank's balance sheet and is, in effect,
funded by the loan buyer. Pennacchi calculates the cost of fbnding a sold loan as

where b denotes the fraction of the loan sold. It is assumed that this fraction is small enough so
that the bank retains an incentive to monitor the loan.
Figures 1 and 2 illustrate how this model explains loan sales and loan purchases. In each
case, banks have some degree of local market power in both loans and deposits, reflected in a
downward-sloping demand curve for loans and an upward-sloping deposit supply curve. Banks

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sell loans when they have a large supply of profitable loans relative to their funding. Banks buy
loans when they have a large supply of funding relative to their loan opportunities.
Figure 1 is for a bank that sells loans. The supply of loans, locus NAN', slopes downward
until point A. At this point, local loans become less profitable than money-market investments
paying a return rm. Likewise, raising core deposits is cheaper than the cost of purchasing hnds in
the competitive national deposit market. Consequently, the deposit supply curve DSD' rises until
rd'rm,

after which the cost of internal funds remains a constant q , where q is given by equation

(I) with rd set to rm.
Loans are sold in the national market and the bank is a price-taker in the loan sales market.
This means that all loans sold are priced to yield the market rate of return, rm, to the buyer. The
implicit price of finding the fraction b of each loan sold is therefore rm. Hence, when the price
of internal funds is below rm, the bank holds the loans it originates. When the price of internal
finds rises above rm, however, selling loans is profitable because it enables the bank to lower the
-

-

cost of funding the loan fiom q to b rm+ (I-b )q. The bank makes loans until supply and demand
meet (at N*) but it hlly books loans only up to point S; the difference is loan sales.
Figure 2 shows a bank that buys loans. The curve NAA' describes lending opportunities,
and the curve DSD' describes funding opportunities. The bank can fund assets up to point S, but
it has fewer profitable loan originations and instead resorts to the money market. Admittedly, it
will also invest in T-bills, commercial paper, and bankers' acceptances, but some of the investment
may go to loan purchases.
In explaining the empirical results of the next section, we will often refer to these diagrams
to conduct simple comparative static exercises such as changing market interest rates, capital
levels, or loan demand.

IV. EMPIRICAL RESULTS
Our work in this section has one basic goal. We hope to characterize the determinants of
loan sales and purchases -- to find out what determines who buys, who sells, and how much. We
pursue this both by estimating an econometric specification of loan sales and purchases using the

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detailed balance-sheet and income statement information for insured commercial banks, and by a
less formal examination of some specialized data sources.
While we cannot formally test the relative importance of capital requirements and shifts in
information technology in the emergence and growth of the loan sales market, our results can
address the impact of many factors such as bank size, merger and acquisition loans, and sales to
subsidiaries.
Our main data source in this endeavor consists of the FFIEC's Quarterly Reports of
Income and Condition, or call reports. Our sample starts in March 1984, just after a major
revision of the reports (which means ignoring one quarter, December 1983, of loan sales data),
and ends in December 1992, the latest available quarter. Loan purchases start later, in the first
quarter of 1988.
Figure 3 plots the aggregate level of loan sales and purchases. Figure 4 plots sales and
purchases as a percentage of net loans. Note the explosion in the loan sales market between 1986
and 1988, and the subsequent collapse from 1989 to 1991. Loan purchases, though much smaller
than sales, remained fairly steady over the entire period. The relatively small volume of purchases
serves as a reminder that not only domestic banks purchase loans.

A. Call Report Data

The empirical work using the call reports runs the dependent variable, loan sales or loan
purchases, against a set of independent variables that proxy for individual bank characteristics and
market conditions. We first use the entire available sample for loan sales and purchases. Next,
we use a more restricted time period for which we have data on off-balance-sheet items and on
highly leveraged transactions. This gives us more explanatory variables but a shorter time period.
To provide a benchmark case, we first run ordinary least squares. While the parameter
estimates are all very significant, the R~ is extremely low. The low R~ is not all that surprising
because many banks do not sell loans; of the 477,000 observations, 294,000 had no loan sales.
To correct econometrically for the large number of zero observations for the dependent
variable requires the use of a limited dependent variable method. We use Tobit, instead of logit or

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probit, because we do not wish to ignore the information about the quantity of loans sold (or
bought).3 Figure 5 shows the importance of this distinction. The variation in sales comes not
from changes in the number of banks selling loans but rather in the volume of loans sold by banks
in the market.
Loan Sales
In the loan sales equations, the dependent variable, LSRAT (the ratio of loans sold to total
assets), is regressed against 19 independent variables. Definitions of the variables used in the
study can be found in table 2. Five of these are dummy variables for size to control for different
size classes of banks. Another five dummy variables indicate the banks' regional location
(Southeast, Midwest, High Plains, Southwest and West). Seven variables (Caprat, Hotrat,
Holdco, Ttass, Chrrat, Nlrat, Netimarg) are introduced to proxy for individual bank
characteristics. These variables capture banks' size, capital position, use of the national money
market, and position on lending. They act as a natural starting place for an examination of the
determinants of loan sales. Two other variables, Tsprd and Baasprd, are included to proxy for
general market conditions. Table 3 presents the results.
What do the Tobit estimates tell us? Bank size, measured by total assets, has a positive
effect on loans sold. The coefficients on the size dummies and on the log of total assets are
negative and significant. The size dummies indicate a positive relationship between size and loan
sales. However, the negative coefficient on Ttass suggests that the relationship between loan
sales and size is highly nonlinear. That is, while large banks sell a higher percentage of their loans
than do small banks, within a particular size class the larger you become, the fewer loans you sell.
A bank's geographic location also appears to influence loan sales. Other things being

equal, banks located in the Northeast region (the Boston, New York, and Philadelphia Federal
Reserve Districts) were the least likely to sell loans, and banks in the High Plains states were the
most likely to do so. However, it is not clear what is driving the regional variation in loan sales.
The weakness in the loan sales market in the Northeast should not be attributed to a high bank
failure rate because the dummy for the Southwest, another high-failure area, came in large and
For other interesting approaches, see Pave1 and Phillis (1987) and Berger and Udell(1992).

8

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positive. Moreover, differences in loan sales also appear across regions with strong banking
sectors. The coefficient on the Midwest dummy is seven times larger than on the Southeast
dummy.
The higher a bank's capital ratio, the less likely it is to sell loans. This accords with the
story told in section 111. Banks that find the capital constraint binding will find it is cheaper to
originate and then sell a loan than to keep it on their books.4 For loan sales, the positive
coefficient on Hotrat is consistent with the theoretical model's prediction that banks with good
lending opportunities will sell loans. That is, a bank with a large number of profitable lending
opportunities will fund only a fraction of loans originated in the national money market (beyond
the kink in the DD' curve of figure I), funding the remainder off its balance sheet through sales.
Holding-company affiliation is positive and significantly related to loan sales. This is
consistent with evidence from the weekly reporting banks, given below, that a nontrivial amount
of loan sales is made between affiliates of the same holding company. Moreover, it is consistent
with the theory in section 111, to the extent that interaffiliate loan sales are used to minimize the
cost of funding new loans.
Chrrat, net charge-offs as a percent of assets, has a coefficient that is positive but
insignificant, both statistically and economically. Therefore, we do not find evidence of a lemons
market problem associated with loan sales.
Net loans and leases enter positively, reflecting that a bank with good lending
opportunities makes a lot of loans, some of which it sells and some of which it keeps on its
balance sheet. The positive and significant coefficient on the net interest margin supports this
interpretation, as high margins indicate a bank with a good supply of profitable loans.
The two spread variables measuring market conditions also have an impact on loan sales.
The coefficient on Tsprd is negative but not significant at the 5 percent confidence level. A
negative coefficient on the term structure spread suggests that with a steep term structure, banks
find it profitable to fund new, presumably longer-term, loans on their books with funds purchased

This result is sensitive to the limited dependent variable problem as the sign of Caprat changes when we move
from OLS to Tobit in order to estimate the model.

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in the national money market. The coefficient on Baasprd is positive and significant. A wide risk
spread means that risky assets, such as loans, pay a high premium over safer assets, and are thus
more desirable.
A natural question at this point is how well the above specification explains the data, or
how good the fit is. Tobit regressions do not have a natural goodness-of-fit measure, but it is
possible to get some idea of how well the Tobit does. We obtained the predicted values from the
Tobit equation (following Maddala [1983, section 6.61) for each bank in each quarter. We
summed these across banks for each quarter, yielding an aggregate prediction of loan sales
volume. Figure 6 plots the results along with the actual volume of loan sales. Clearly, this
specification does not explain enough about loan sales to account for the rise and fall of market
volume.
Loan Purchases
The equations for loan purchases are estimated over a shorter sample period because data
on purchases do not become available until the first quarter of 1988. Table 4 reports the results
for purchases. Overall, bank size is inversely related to loan purchases. That is, small banks tend
to buy more loans than do large ones. However, rnid-sized banks (between $500 million and
$5 billion in assets) buy a greater fraction of loans than do either the smallest two size classes or
the largest class. As with loan sales, the relationship size has a nonlinear impact on loan
purchases. The positive coefficient on Ttass indicates that within size classes there is a positive
relationship between size and loan purchases. Regional effects also remain important, and once
again the High Plains dummy has the largest coefficient, and the implicit Northeast dummy the
smallest.
Capital is positive and significantly related to loans bought. Furthermore, the coefficient
on Hotrat, the proxy for purchased funds, is negative and significant. In other words, wellcapitalized banks that can fund new loans with inexpensive local deposits buy loans. This is
consistent with the Pennacchi model in section 111.
Holding-company affiliation is a factor influencing loan purchases. Other things being
equal, banks in bank holding companies are more likely to purchase loans than are nonaffiliated

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banks. As with loan sales, the behavior of Holdco suggests that bank holding companies use the
loan sales and purchases between affiliates to manage their consolidated balance sheets.
The negative coefficient on the charge-off ratio argues for a form of comparative
advantage. A bank adept at managing loans and assessing their value would have low charge-offs
and would also have a comparative advantage in buying loans. The positive and significant
coefficient on Nlrat, the percent of assets invested in loans, is consistent with the "comparative
advantage" explanation.
Loan sales are positively related to loan purchases. This is consistent with a "threshold
effect," whereby set-up costs and experience in one side of the market bring returns to the other
side as well. The net interest margin has a negative impact, as expected, because banks with good
lending opportunities do not purchase loans. Finally, unlike loan sales, neither of the market
condition variables significantly affects loan purchases. The poor performance of Tsprd and
Baasprd in the loan purchase equation is consistent with loan purchases being determined by local
market variables, particularly by relative local lending and fbnding opportunities.
HLT Subsample Results
Tables 5 and 6 report the estimation results using the data on off-balance-sheet activity
and highly leveraged transactions (HLTs), for which data exist only from the third quarter of 1990
to the fourth quarter of 1992. The differences from the results given in previous tables may partly
be due to a shorter sample period.
In the loan sales equation, two parameters change sign. The capital ratio switches from
negative to positive. This may reflect a reputation effect: Buyers prefer loans from stronger,
better-capitalized banks. The coefficient on the risk-spread proxy, Baasprd, changes from
positive to negative. What may lie behind the change is that over the period for which we have
data for HLT loans, the loan sales market was in a steep decline, reversing the general growth
trend over the total period.
The HLT and off-balance-sheet variables are both positively related to loan sales. This
indicates that some banks are taking a "merchant banking" stance, engaging in a variety of hightech finance. There may be an even more direct relationship. Because HLT loans may be the type

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that are sold, a large presence in the HLT market indicates a propensity to sell loans. Though this
may be important, the small coefficients and insignificant Chi-squared values show that this is by
no means the only explanation of loan sales.
In the loan purchases equation, there are a number a notable differences between the HLT
subsample results and those of the full sample. First, all size dummies become negative, indicating
that the largest banks buy the largest proportion of loans. While not significant at the 95 percent
confidence level, the positive coefficient on the log of total assets confirms the size effect.
Second, the coefficients on Caprat and Hotrat reverse signs and the positive coefficient on the
term structure spread is significant. The behavior of these three proxy variables is consistent with
large banks becoming more active buyers of loans. Larger banks historically hold smaller capital
cushions, rely more heavily on national money markets for funding, and have lending
opportunities that are more closely related to market conditions than are those of smaller banks.
As with loan sales, off-balance-sheet activities and HLT loans are both positively related
to loan purchases; this relationship is consistent with the "merchant banking" explanation.
Moreover, the positive sign on Hltrat confirms the Pennacchi model of section 111. A firm with
slack local loan demand goes to the national market -- and buys loans and makes HLT loans.
Data Snooping
Our Tobit regressions have yielded a number of insights about factors determining bank
participation in the loan sales market and are largely consistent with the Pennacchi model.
Unfortunately, however, our empirical specification does a dismal job of capturing the runup and
subsequent collapse of the market. (See figure 3.) Because one of the purposes of this research is
to characterize the determinants of loan sales and purchases in order to provide a foundation for
future research, we attempt to control for two factors that may have influenced the market: the
1990-91 recession and the impact of Security Pacific and Bankers Trust. However, this exercise
falls within the category of data snooping; therefore, caution must be used in interpreting the
results.5

For a description of data snooping and the attendant biases in test results, see Lo and MacKinlay (1990).

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Recessions could be expected to affect the loan sales market by reducing the demand for
bank loans and, in turn, reducing the supply of loans booked for sale. In figure 1 the effect of the
recession would be a downward shift in the lending opportunities curve and a rightward shift in
point S. Given that the recent recession coincided with the peak and subsequent downturn of the
loan sales market, and given the slow growth of bank credit in the ongoing recovery, controlling
for the recession could improve the model's fit.
Anecdotal evidence suggests that some of the runup and subsequent collapse of the loansales market may be due to the behavior of two banks. The first, Bankers Trust, was a major
player in this market, especially in the sale of mergers and acquisitions loans; this institution
effectively exited the market around the time that it peaked. Security Pacific Bank was a driving
force in the development and growth of this market. Security Pacific's asset quality problems,
which resulted in its acquisition by Bank of America in April 1992, eliminated it as major player in
the loan sales market after the market peaked in 1990.
To investigate the sensitivity of our results to these two factors, we reestimate the full
sample loan sales equation with a dummy variable for the recession, RECESS, omitting Bankers
Trust and Security Pacific from the sample. The results, shown in table 7, are very similar to
those in table 3. The coefficient on RECESS is negative and significant. Thus, as expected, the
1990-91 recession had a negative impact on loan sales. The only notable difference in the results
when RECESS is included as a regressor is that the coefficient on Tsprd becomes negative and
significant. Moreover, the results' lack of sensitivity to the omission of Bankers Trust and
Security Pacific suggests that outliers are not driving the results. Unfortunately, this datasnooping specification of the loan sales equation failed to improve the fit of the model.

B. Supplemental Data
The Tobit specification using call report data leaves many puzzles unexplained. Some
popular and interesting explanations cannot be addressed by call report data and can be evaluated
only with other data sets which provide their own perspective (and puzzles) on the matter.

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One popular explanation links the loan sales market with the mergers and acquisitions
(M&A) market. Banks with large chunks of M&A financing had the desire to reduce their
exposure to any one borrower. Moreover, because these loans were collateralized senior debt
and were obligations of large, well-known corporations, the banks also had the ability to sell the
loans. As the M&A market dried up, loan sales activity also fell. Some evidence supports this
view, as the Senior Loan Officer Opinion Survey on Bank Lending Practices (LPS) oRen showed
that M&A activity accounted for a large share of the loan sales of the reporting banks. For
example, respondents to the August 1989 survey reported that 44.5% of loan sales represented
financing for mergers and acquisitions.
For the market as a whole, however, merger activity cannot explain the pattern of loan
sales volume. Figure 7 plots loan sales and total M&A activity (from Mergers and Acquisitions
magazine). This series overstates bank activity in the mergers market because banks were not the
only source of finding. Even so, the level of M&As is simply too low to account for either the
rise or the fall of loan sales volume. A closer look at figure 7 suggests that merger activity could
have played a major role before 1987, when the market first developed, but not since.
A comparison of figure 7 with the LPS survey shows that the experience of the survey
banks does not always extend to the entire market. In this case, the concentration of M&A loans
among survey banks is an aberration.
The mergers explanation appeals partly because it solves the contracting problem at the
heart of the market by positing that sold loans are really very close to marketable securities. A
related possibility is that it is not the nature of the loan itself that solves this problem, but rather
the relationship between the buyej and the seller. Specifically, a sale to a subsidiary avoids many
informational problems. The weekly reporting banks provide data on this point. Figure 8 plots
loan sales of weekly reporting banks from 1984 to the present, along with loans sold to nonbank
subsidiaries. One more note of caution: The pattern of sales for this sample of banks does not
match that of the total market, so that the large weekly reporting banks are not representative of
the entire market. Nonetheless, for this subset, sales to nonbank subsidiaries make up a large, and
reasonably steady, fraction of all loans sold.

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The weekly reporting banks present their own puzzles. Why did the bottom drop out of
the market in 1990? Is there any connection to the LPS survey, in which respondents reported
that loan sales dropped from 56 in 1990 to 17 in 1991, only to rebound to 57 in 1992?

V. CONCLUSION
Loan sales are a phenomenon in modern finance that signals a change in the role of banks
as intermediaries. To fblly comprehend the ramifications of the marketability of bank loans for
banks, for bank regulation, and for the role of federal deposit insurance, one must understand the
forces that drive the loan sales market. As a first cut at addressing the relative influences of
technological change, legal and institutional factors, and bank regulation on the development and
growth of this market, we look at the determinants of loan sales and purchases by banks.
We find that bank size, capitalization, fbnding strategy, and investment strategy are all
significant determinants of loan sales and loan purchases. Other bank-specific factors such as
location, holding-company affiliation, and participation in the mergers and acquisitions market, as
well as general credit-market condition variables, influence loan sales and purchases. Overall, the
empirical results support the theoretical (Pennacchi) model of loan sales and purchases presented
in section 111.
Unfortunately, however, many issues remain unresolved. Our empirical model is not able
to explain the sharp rise of the market at the end of the 1980s and its equally sharp decline in the
early 1990s. In addition, call report data do not give us a good handle on the extent to which this
market is used by bank holding companies to minimize fbnding costs for bank loans. Interaffiliate
sales and purchases of loans may paint a very different picture of this market and its implications
for bank-intermediated credit. Finally, while our results indicate that capital is an important
determinant of loan sales, we cannot separate the relative influences of capital regulation and
market forces, as well as technology, on the development and growth of the loan sales market.

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

REFERENCES

Berger, Allen N., and Gregory F. Udell, "Securitization, Risk, and the Liquidity Problem in
Banking," in Structural Change in Banking, Michael Klausner and Lawrence J. White, eds.,
Irwin, Homewood, L,1992, pp. 227-9 1.
Carlstrom, Charles T., and Katherine A. Samolyk, "Loan Sales as a Response to Market-Based
Capital Constraints," Federal Reserve Bank of Cleveland, Working Paper, forthcoming 1993.
Gorton, Gary B., "The Growth and Evolution of the Loan Sales Market," in The Commercial
Loan Resale Market, Jess Lederman, Linda E. Feinne, and Mark Dzialga, eds. Probus, Chicago,
1991, pp. 15-53.
Gorton, Gary B., and Joseph G. Haubrich, "The Loan Sales Market," in Research in Financial
Services: Private and Public Policy, " George G. Kaufinan, ed., vol. 2, 1990, JAI Press,
Greenwich, CT, pp. 85-135.
Haubrich, Joseph G., "An Overview of the Market for Loan Sales," CommercialLending Review,
vol. 4, no. 2, Spring 1989, pp. 39-47.
Lo, Andrew W., and A. Craig MacKinlay, "Data-Snooping Biases in Tests of Financial Asset
Pricing Models," The Review of Financial Studies, vol. 3, no. 3, 1990, pp. 43 1-67.
Maddala, G.S., Limited-dependent and Qualitative Variables in Econometrics, Econometric
Society Monographs No. 3, Cambridge University Press, New York, 1983.

Mergers and Acquisitions magazine, various issues, 1988- 1992.
Mester, Loretta, "Traditional and Nontraditional Banking: An Information Theoretic Approach,"
Journal of Banking and Finance, vol. 16, 1992, pp. 545-66.
Miller, Merton, "Debt and Taxes," JournalofFinance, vol. 32, June 1977, pp. 261-75.
Morris, David M., "Accounting for Commercial Loan Sales," in The CommercialLoan Resale
Market, Jess Lederman, Linda E. Feinne, and Mark Dzialga, eds., Probus, Chicago, 1991, pp.
99- 130.
Orgler, Yair E. and Robert A. Taggart, Jr., "Implications of Corporate Capital Structure Theory
for Banking Institutions," Journal of Money, Credit and Banking, vol. 15, May 1983, pp. 212-21.
Pavel, Christine, and Avid Phillis, "To Sell or Not to Sell: Loan Sales by Commercial Banks,"
Federal Reserve Bank of Chicago, Mimeo, 1987.
Pennacchi, George G., "Loan Sales and the Cost of Bank Capital," Journal of Finance, vol. 43,
no. 2, June 1988, pp. 375-96.

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Table 1
Top 25 Domestic Sellers and Buyers of Loans

Rank

BankName
Citibank NA
Bank of America NT&SA
Chemical Bk
Mellon Bk NA
Morgan Guaranty TC of NY
Chase Manhattan Bk NA
First NB of Chicago
Crestar Bk
Signet Bk - VA
Bank of Tokyo TC
Wachovia Bk N Carolina
Texas Commerce Bk NA
Corestates Bk NA
Continental Bk NA
Bank of New York
Wachovia Bk GA NA
First Interstate Bk CA
Bankers TC
LaSalle NB
Security Pacific Nat. TC
First Union NB NC
First NB of Boston
Trust Co Bk
Pacific Inland Bk
Pittsburgh NB

Loan
Sales

Loan
Purchases

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Table 1 (continued)

Rank

BankName
Connecticut NB
Nationsbank NC NA
Bankers TC
JP Morgan Delaware
Shawrnut Bk NA
Chemical Bk
Central Bk NA
Bank of America NT&SA
Huntington NB
Rhode Island Hosp TR NB
Trust Co. of New Jersey
Nationsbank of FL NA
National Westminster Bk U
Crestar Bk
Pittsburgh NB
Bank of Hawaii
Texas Commerce Bk NA
First NB of Boston
Old Kent B&TC
Maryland NB
Comerica Bk
First Union NB FL
National City Bk
Nationsbank TX NA
Southtrust Bk GA NA

Source: Call reports.

Loan
Purchases

Loan
Sales

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Table 2
Variable Definitions

LSRAT

The ratio of loans sold to total assets.

LBRAT

The ratio of loans purchased to total assets.

DUMSE

Dummy variable for banks located in the Southeast region. Equals 1 if the bank is
in the Richmond or Atlanta Federal Reserve District.

DUMMW

Dummy variable for banks located in the Midwest region. Equals 1 if the bank is in
the Cleveland, Chicago, or St. Louis Federal Reserve District.
Dummy variable for banks located on the High Plains region. Equals 1 if the bank
is in the Minneapolis or Kansas City Federal Reserve District.

DUMSW

Dummy variable for banks located in the Southwest region. Equals 1 if the bank is
in the Dallas Federal Reserve District.

DUMWE

Dummy variable for banks located in the West region. Equals 1 if the bank is in the
San Francisco Federal Reserve District.

DSZ I

Dummy variable for size. Equals 1 if total assets are less than $50 million, and 0
otherwise.
Dummy variable for size. Equals 1 if total assets are between $50 million and
$100 million, and 0 otherwise.
Dummy variable for size. Equals 1 if total assets are between $100 million and
$500 million, and 0 otherwise.
Dummy variable for size. Equals 1 if total assets are between $500 million and
$1 billion, and 0 otherwise.
Dummy variable for size. Equals 1 if total assets are between $1 and $5 billion,
and 0 otherwise.

RECESS

Dummy variables for the 1990-91 recession.

Caprat

The ratio of bank capital to total assets.

Hotrat

The ratio of "hot" hnds to total assets, that is, deposits above $100,000, brokered
deposits, foreign deposits, and Fed hnds purchased.

Holdco

A dummy variable which equals 1 if the bank is part of a holding company, 0 if it is
not.

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Table 2
Variable Definitions (continued)
Ttass

The log of total assets.

Chrrat

The ratio of total charge-offs net of recoveries (a measure of losses on loans) to
total assets.

Nlrat

The ratio of net loans and leases to total assets.

Netimarg

The net interest margin of the bank: total interest income less total interest costs,
all divided by total assets.

Tsprd

The spread between 30 year T-bonds and 90 day T-bills at the beginning of each
quarter.

Baasprd

The spread between Standard & Poor's Baa bond portfolio and 90 day T-bills.

Offiat

The ratio of off-balance-sheet activities, exclusive of loan sales, to total assets.

Hltrat

The ratio of loans for highly leveraged transactions to total assets.

Source: Authors.

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Table 3
Loan Sales, Full Sample

A. Tobit Results

Noncensored Values = 182,762
Left Censored Values = 294,079
Observations with Missing Values = 4
Log Likelihood for Normal - 130948.811
Variable
Intercept
DSZl
DSZ2
DSZ3
DSZ4
DSZ5
DUMSE
DUMHP
DUMMW
DUMSW
D
m
Caprat
Hot rat
Holdco
Ttass
Chrrat
Nlrat
Tsprd
Baasprd
Netimarg
Scale

Estimate

Std Err

Chi-square

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Table 3
Loan Sales, Full Sample (continued)
B. Ordinary Least Squares Estimation

Source

Model
Error
C Total

Variable

DF

19
47682 1
476840
Root MSE
DEP Mean
C.V.

Sum of
Squares

Mean
Square

34.7539 1.82915
11570.8790 0.02427
11605.6329
0.15578 R-Square
0.0083 1 Adj R-Sq
1875.5726

Parameter
Estimate

Intercept
DUMSE
DUMMW
D
m
DUMSW
DUMWE
DSZl
DSZ2
DSZ3
DSZ4
DSZ5
Caprat
Hotrat
Holdco
Chrrat
Nlrat
Ttass
Tsprd
Baasprd
Netimarg
Source: Authors' calculations.

Standard
Error

F Value

Prob>F

75.377

0.0001

0.0030
0.0030

T for HO:
Parameter=O

Prob>ll'J

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Table 4
Loan Purchases, Full Sample
A. Tobit Results

Noncensored Values = 77,199
Left Censored Values = 171.801
Observations with Missing Values = 0
Log Likelihood for Normal -6989 1.92992

Variable
Intercept
DSZl
D SZ2
DSZ3
DSZ4
DSZ5
DUMSE
DUMHP
DUMMW
DUMSW
DUMWE
Caprat
Hotrat
Holdco
Chrrat
Nlrat
Ttass
Lsrat
Tsprd
Baasprd
Netimarg
Scale

Estimate

Std Err

Chi-square

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Table 4
Loan Purchases, Full Sample (continued)
B. Ordinary Least Squares Estimation

Source

Model
Error
C Total

Variable

DF

20
248979
248999
Root MSE
DEP Mean
C.V.

Mean
Square

F Value

Prob>F

1444.2912
0.00926

156039.918

0.0001

R-Square
Adj R-Sq

0.9261
0.9261

Sum of
Squares
28885.8250
2304.5269
3 1190.3519
0.096219
0.00548
1755.3217

Parameter
Estimate

Intercept
DUMSE
DUMMW
DUMHP
DUMSW
DUMWE
DSZl
DSZ2
DSZ3
DSZ4
DSZ5
Caprat
Hotrat
Holdco
Chrrat
Nlrat
Ttass
Tsprd
Baasprd
Netimarg
Lsrat
Source: Authors' calculations.

Standard
Error

T for HO:
Pararneter=O

Prob>(T(

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Table 5
Loan Sales, HLT Sample

A. Tobit Results

Noncensored Values = 25,8 12
Left Censored Values = 45,886
Observations with Missing Values = 22,988
Log Likelihood for Normal 434.14330438

Variable
Intercept
DSZl
DSZ2
DSZ3
DSZ4
DSZ5
DUMSE
DUMHP
DUMMW
DUMSW
DWMWE
Caprat
Hotrat
Holdco
Ttass
Chrrat
Nlrat
Ofiat
H:ltrat
Tsprd
Bassprd
Net imarg
Scale

Estimate

StdErr

Chi-square

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Table 5
Loan Sales, HLT Sample (continued)
B. Ordinary Least Squares Estimation

Source

Model
Error
C Total

Variable

1

DF

21
71676
71697
Root MSE
DEP Mean
C.V.

Sum of
Squares

Mean
Square

20.16675 0.96032
305.02061 0.00426
325.18736
0.06523 R-Square
0.00676 Adj R-Sq
964.32895

Parameter
Estimate

Intercept
DUMSE
DUMMW
DUMHP
DUMSW
DUMWE
DSZ 1
DSZ2
DSZ3
DSZ4
DSZ5
Caprat
Hotrat
Holdco
Ttass
Chrrat
Nlrat
Hltrat
Ofiat
Tsprd
Bassprd
Netimarg

Source: Authors' calculations.

Standard
Error

F Value

Prob>F

225.663

0.0001

0.0620
0.0617

T for HO:
Parameter=O

ProbBlTI

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Table 6
Loan Purchases, HLT Sample

A. Tobit Results

Noncensored Values = 22,098
Left Censored Values = 49,600
Observations with Missing Values = 22,988
Log Likelihood for Normal 9632.9548943
Variable
Intercept
DSZl
DSZ2
D SZ3
DSZ4
DSZ5
DUMSE
DUMHP
DWMMW
DLTMSW
D'LTMWE
Caprat
Hotrat
Holdco
Ttass
Chrrat
Nlrat
Offrat
Hltrat
Lsrat
Tsprd
Bassprd
Netimarg
Scale

Estimate

Std Err

Chi-square

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Table 6
Loan Sales, HLT Sample (continued)

B. Ordinary Least Squares Estimation

Source

Model
Error
C Total

Variable

DF

Sum of
Squares

Mean
Square

22
3.03815 0.13810
71675 81.18683 0.00113
7 1697 84.22498
Root MSE
0.03366 R-Square
DEP Mean
0.00448 Adj R-Sq
C.V.
750.50603

Parameter
Estimate

Intercept
DUMSE
DUMMW
DUMHP
DUMSW
DUMWE
DSZl
DSZ2
DSZ3
DSZ4
DSZ5
Caprat
Hotrat
Holdco
Ttass
Chrrat
Nlrat
Tsprd
Bassprd
Netimarg
Offrat
Hlrat
Lsrat
Source: Authors' calculations.

Standard Error

F Value

Prob>F

121.918

0.0001

0.0361
0.0358

T for HO:
Parameter=O

Prob>lT(

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Table 7
Loan Sales, with Recession Dummy
Tobit Results
Noncensored Values = 182,693
Left Censored Values = 294,079
Observations with Missing Values = 4
Log Likelihood for Normal -130554.2516
Variable

Estimate

Intercept
DSZl
DSZ2
DSZ3
DSZ4
DSZ5
DUMSE
DUMHP
DUMMW
DUMSW
DUMWE
Caprat
Hotrat
Holdco
Chrrat
Nlrat
Ttass
Recess
Tsprd
Baasprd
Netimarg
Scale
Source: Authors' calculations.

Std Err

Chi-square

http://www.clevelandfed.org/Research/Workpaper/Index.cfm

Price of funds

Price of funds
'1

-

IY

'-,"I

-

A'

h

d

e Lambought

Loans held

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