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orkmg raper series

The Cultural Affinity Hypothesis and
Mortgage Lending Decisions
William C. Hunter and Mary Beth W alker

Working Papers Series
Issues in Financial Regulation
Research Department
Federal Reserve Bank of Chicago
July 1995 (W P -95-8)

C




FEDERAL RESERVE BANK
OF CHICAGO

T h e C u l t u r a l A f f in it y H y p o t h e s is a n d M o r t g a g e L e n d i n g D e c i s i o n s

William C. Hunter
Senior Vice President and Director of Research
Federal Reserve Bank of Chicago
230 South LaSalle Street
Chicago, IL 60604
312/322-5800

Mary Beth Walker
Policy Research Center
Department of Economics
Georgia State University
Atlanta, GA 30303
404/651-3751

July 1995

‘The views expressed in this paper are those of the authors and not necessarily those of the
Federal Reserve Bank of Chicago, the Board of Governors of the Federal Reserve System, or the
Georgia State University Policy Research Center. We thank Lynne Browne and Jeff Tootell of
the Federal Reserve Bank of Boston for providing us with the Boston Fed HMDA data and
acknowledge the helpful comments of Robert Avery, Jeffrey Gunther, Martin Hellwig, Kenneth
Koford, Jeffrey Lacker, Leonard Nakamura, Mary Rosenbaum, Stephen Smith, Richard Sweeney,
David Walker, and an anonymous referee, as well as the assistance provided by Janet Colter, Jon
Hao, and Jann Howell.




Th

e

C

u l tu r a l

A

ffinity

H

ypothesis a n d

M

o r t g a g e

L

ending

D

ecisions

A well-known result in the economics of information is that when job applicants have
different productive potentials, employers will find it worthwhile to subject them to a screening
process. Since productivity typically cannot be observed directly, some observable characteristic
that is highly correlated with productivity may serve as a substitute. Thus, possession of a
college degree or higher level of education may indicate attributes that will prove useful in
certain kinds of jobs. Similarly, race or sex, whether or not justifiable on legal or ethical
grounds, may be taken by employers as predictors of on-the-job performance.
In credit markets, many borrower characteristics serve as signals of borrower quality or
creditworthiness.

Just as employers may associate the race or sex of job applicants with

productivity, so may lenders associate these attributes with creditworthiness. Since the Civil
Rights Act of 1964, much government legislation has been passed that aimed at eliminating the
use of unalterable personal characteristics such as race in credit approval decisions. Nonetheless,
the question remains whether lenders continue to use such information in that way.
A recent hypothesis put forward by Calomiris, Kahn, and Longhofer (1994) suggests that
continued discrimination against minorities in credit market situations could result from the lack
of cultural affinity between white loan officers and minority applicants. This hypothesis states
that white loan officers will rely more heavily on characteristics that can be observed at low cost
when appraising the creditworthiness of minorities rather than invest marginal resources in
gathering additional information about creditworthiness. Stated differently, ifthe majority of loan
officers and applicants are white, white loan officers may feel they know more about white
applicants than about minorities, and thus they are more likely to acquire additional information




2

about the creditworthiness of white applicants. On the other hand, we would expect these lenders
to rely more heavily on basic objective loan application information in appraising the
creditworthiness of minorities.
This study uses mortgage application data collected under the Home Mortgage Disclosure
Act of 1975 (HMDA) to provide an empirical test of an extended version of the cultural affinity
hypothesis. W e examine whether loan officers perceive such objective information as credit
history or reputation and financial leverage differently for minority applicants than for whites.
Both characteristics would appear to provide useful information to lenders. If high-quality
borrowers find it cheaper to build reputations (superior credit histories) than low-quality
borrowers do, then lenders will prefer those borrowers with better reputations— their reputations
derive directly from their superior abilities. Using a proxy measure of prior credit market
experience in our model also allows us to examine the so-called "thicker file" phenomenon.
Since accepted marginal white mortgage applicants are many times observed to have thicker loan
application files than rejected marginal minorities, the common presumption is that the marginal
white applicants have received special counseling or extra coaching from sympathetic loan
officers while the minorities have not.
The data used in this study, H M D A data for the Boston area in 1990, have been criticized
for being unusually "dirty"; that is, they are missing many values and contain many coding
errors.1 W e used a rigorously cleaned subset of the original data which maintains the general
profile of the full original data set. The criteria used to clean the data are discussed more fully
in the following section.




3

Our empirical results suggest that lenders do treat objective loan application information
differently, depending on the race of the applicant. In particular, credit history and the ratio of
total monthly obligations-to-total monthly income both have a substantially greater impact on the
probability of loan approval for minorities than for whites. Interestingly, we do not find that
gender has a significant impact on the probability of loan approval.
In section 1 which follows, we present a sketch of recent legislation addressing mortgage
credit issues and briefly summarize earlier studies of discrimination in mortgage credit markets.
Our data sources and definitions, as well as our statistical model, are described in section 2. The
empirical results are presented and discussed in section 3. A summary and conclusion follow in
section 4.1

1.

Previous Studies
Following the passage of the Civil Rights Act of 1964, interest in the issue of

discrimination in housing and mortgage credit markets increased significantly. Several additional
pieces of legislation were passed in an attempt to outlaw the practice. The Fair Housing Act of
1968 (amended in 1988), the Equal Opportunity Credit Act of 1974, the Home Mortgage
Disclosure Act of 1975 (HMDA), and the Community Reinvestment Act of 1977 (CRA) were
enacted in part to outlaw discrimination in housing and mortgage credit markets on the basis of
factors such as race, age, sex, and geographic location. While the Fair Housing Act and the
Equal Opportunity Credit Act addressed the general issue of access to housing and credit, H M D A
and C R A (as administered) dealt more directly with mortgage credit. H M D A and C R A were
passed to address the perceived problems of housing credit not flowing properly to all




4

neighborhoods within communities at large, and in particular, the failure of some mortgage
lenders to adequately serve all segments of their primary trade areas. While H M D A required
certain lenders to report, by census tract, the number and dollar value of home loans they made
in their communities each year, C R A went one step further by encouraging (through the
regulatory process) depository institutions to help meet the credit needs of their communities,
including low- and moderate-income neighborhoods, consistent with safe and sound lending
practices.
Early studies of discrimination in mortgage markets, such as Bradbury, Case, and Dunham
(1989) and Hutchinson, Ostas, and Reed (1977), examined questions related to the issue of
redlining— the practice whereby lenders refuse to make mortgage loans in geographic areas
characterized by heavy concentration of racial or ethic minorities regardless of the
creditworthiness of the loan applicants. As noted by Benston (1981), most studies of redlining
are inadequate since they fail to control sufficiently for borrower characteristics (see also Benston
and Horsky 1992). In addition, as noted by Holmes and Horvitz (1994), these studies do not
adequately control for the risk differences across different geographic areas. More recent studies
of redlining have produced somewhat mixed results. Holmes and Horvitz (1994), in their study
of redlining in Houston, Texas, fail to find clear evidence of the practice, while the paper by
Canner, Gabriel, and Woolley (1991) examining nationwide data finds more evidence of it.2
Beginning in 1990, lenders were required by H M D A to publicly report the gender,
income, and race of loan applicants as well as the action taken on each loan (accepted, denied,
or withdrawn by the applicant). The initial H M D A report indicated that mortgage applicants
from black and Hispanic households were systematically denied mortgage loans at a higher rate




5

than applicants from white households with similar incomes. H M D A data released since 1991
have showed essentially the same disparate rejection rate. Needless to say, these releases have
generated much public concern. However, leading industry groups and individuals in government
and academia have maintained that it would be inappropriate to draw the conclusion from these
releases that mortgage lenders actively discriminate against minorities. This is because the
H M D A data do not take into account information crucial to credit decisions, such as the loan
applicant's credit history, other debts, and employment history. Partly in response to this debate,
the Federal Reserve Bank of Boston conducted a study of mortgage denial rates in the Boston
metropolitan area (Munnell, Browne, McEneaney, and Tootell, 1992) using a much wider range
of loan application data. These augmented H M D A data are described briefly in section 2. As
a result of taking account of the personal characteristics of the borrowers, the Boston study
reduced the magnitude of discrepancy for black and Hispanic applicants from 2.7 times the white
denial norm to 1.6 times. Thus, while allowing for differences in loan applicant wealth and credit
history reduces race-related differences in mortgage denial rates, it apparently does not eliminate
them.3
The so-called "thicker file" phenomenon, as an explanation of the remaining race-related
denial rate differential, rests on anecdotal evidence that many marginal white applicants have
thicker loan application files than marginal black and Hispanic applicants. It ispossible that such
extra documentation, when itexists, provides mitigating information that reduces the probability
that the marginal white application will be rejected. There are numerous explanations of why
these thicker files might be observed. White applicants may, on average, have had more prior
exposure to the credit process and therefore may come better prepared. It might also be that, as




6

a result of cultural familiarity, loan officers spend more time, on average, with white applicants,
probing more deeply into whether they have evidence to offset factors that might otherwise lead
to rejection.4

2.

The Data and Statistical Model
The data used in this study were taken from the augmented 1990 H M D A data collected

by the Federal Reserve Bank of Boston. Augmentation of the H M D A data was necessary
because applicant and loan characteristics collected under H M D A are severely limited. The
Boston Fed, with the support of other supervisory agencies, obtained additional information on
the borrowers and loan applications included in the 1990 H M D A report from the Boston
Metropolitan Statistical Area. The Boston Fed data file included a random sample of 3,300
conventional applications made by whites and 722 conventional applications made by blacks and
Hispanics. Boston Fed economists used the additional data, combined with census information
on neighborhood characteristics, to develop a model of the determinants of mortgage lending
decisions in the Boston area. The additional data collected on borrower and loan characteristics
included variables measuring the borrower's ability to support the loan (net wealth, the ratio of
total debt payments to income, and liquid assets), previous credit history (bankruptcy filings and
number of credit reports in the file), default loss potential (loan-to-value ratios), personal
characteristics of the applicant (age, marital status, number of dependents), and an estimate of
the probability of being unemployed, among others. A detailed description of this data is
available in Munnell, Browne, McEneaney, and Tootell (1992).




7

In our analysis of the Boston Fed data set, only conventional loans not associated with
any special housing or lending programs were included. Since the original data set had a fairly
large number of data errors and missing values, we used the criteria developed by Carr and
Megbolugbe (1993) to purge the raw data. This included, for example, deleting applications with
a ratio of housing expenses to total monthly income greater than 100 percent and deleting
applications with a ratio of the loan amount to the purchase price in excess of 3.0, among others.
W e deleted approximately 1,000 observations because they contained data errors or were atypical
relative to the overall sample. Of the data that remained, there were 1,726 loan applications
approved and 265 denied. Among the 1,516 white applicants, the approval ratio was about .9;
for the group of 475 black and Hispanic applicants, the approval ratio was .76.

The

characteristics of our subsample mirror those of the original data set.
Our statistical analysis of cultural affinity effects in mortgage credit markets is conducted
using the framework of dichotomous choice models. Essentially, cultural affinity effects can be
viewed as information that is unobservable to the econometrician and statistical tests for the
effects are conducted using the approach developed in the paper by Albrecht (1981). Intuitively,
the approach tests whether white loan officers' decisions on white applicants depend less on
formal information, such as credit history, financial obligations, and the like, than they do for
minorities.5 The lender's decision of which loan applicants to approve can be modelled as
accepting only those applicants whose perceived creditworthiness (or marginal productivity)
exceeds some critical level. W e assume that the creditworthiness (or marginal productivity), Ik,




8

of the kth applicant as perceived by the lender can be expressed as a linear combination of
borrower characteristics; that is,

Ik = xk'p + ek ,

(1)

where P is a vector of parameters and xk is the vector of informational variables for the kth
applicant. The error term ek represents factors known to the lender but unobservable to the
modeler; it is assumed to be random noise with mean zero and variance G 2.
Of course, this continuous index of creditworthiness, Ik, is not observed. W e observe
only whether a mortgage application is accepted or denied. Let
yk =
=

1 if Ik is > 0, i.e., the application is accepted, and
0 otherwise.

Then, the probability that the kth applicant will be granted a loan can be written as

P*

yk = 1) = F(xk'p),

(2)

where F(-) is the cumulative distribution function of e, assuming that e has a symmetric
distribution. Note that because the P parameters are identified only up to a positive scalar, our
estimates are actually estimates of p/G.




9

3.

Empirical Results
W e estimate the logit model using 1,991 observations from the 1990 HMDA data file.

The basic empirical results obtained from the estimation of the logistic regression are given in
table 3. The dependent variable in this regression is the action taken on the mortgage application,
i.e., dependent variable = 1 ifthe application was accepted, and zero if it was denied. A number
of control variables other than the reputation and credit experience variables mentioned above
were also used in the model. These include standard financial ratios such as housing expenses
relative to monthly income, and total debt obligations relative to monthly income, as well as other
information on the applicant such as marital status, employment status, and whether the loan
applicant had a cosigner. The explanatory variables are described fully in table 1.
Even more than in the usual logistic regression model, the estimated effects of the
variables are difficult to interpret because of the multiple interactions terms. To compute the
effects of the variables, we must specify the information set we use for conditioning. Suppose
we write the equation that specifies the index of creditworthiness for loan applicants as

Ik = xk'P + a,CHIST + tXj-ARAC + Oj-ASEX + a 4SCH + a 5THK + oCg-LOC +




ctjCSCHARAC) + otg(SCH-ASEX) + a^SCHTHK) + a 10(SCHLOC) +
a , ,(CHIST •ARAC) + a 12(CHISTASEX) + a 13(CHISTTHK) +
a 14(CHIST LOC) + a 15(OBRAT ARAC) + error .

(5)

10

Then, the direct effect of the credit history (CHIST) signalling variable on creditworthiness is
given by

3I/3CHIST = a„ given A R A C = A S E X = T H K = L O C = 0.

(6)

This coefficient measures the effect of credit history on creditworthiness given that the applicant
is black or Hispanic (ARAC=0), female (ASEX=0), does not have a "thick" credit file (THK=0),
and wants to buy property in a location with a high vacancy rate (LOC=0). An alternate set of
conditioning information would give a different effect. For example, the total impact of credit
history on creditworthiness with a different conditioning information set is given by

3I/8CHIST = a, + a,„ given A R A C = 1, A S E X = T H K = L O C = 0.

(7)

Equation (6) gives the impact of credit history on creditworthiness given that the applicant is a
white female with a thin credit file and the property to be financed is located in a high vacancy
area.
Many of the results in table 3 are interesting, though not surprising. For example, as the
ratio of total debt obligations to monthly income (OBRAT) rose, the probability of loan approval
fell. A 10 percentage point increase in this ratio lowered the probability of approval by more
than 8 percent, and this effect was statistically significant. Applicants with prior public record
defaults, i.e., bankruptcies, had a significantly lower probability of being approved. The analysis
also revealed that a self-employed applicant had a probability of loan approval more than 3




11

percentage points lower than an applicant who was not self-employed but otherwise had exactly
the same characteristics. It is interesting to note that some variables seemingly had no effect on
loan approval; for example, the number of dependents had an insignificant impact.
Our model specification provides no evidence to support the thicker file hypothesis; the
estimated direct effect of T H K was insignificant regardless of the set of conditioning information.
It is possible that this was due to the proxy used to gauge the thickness of the loan applicant's
file. An applicant's file was considered "thick" if it contained more than two credit reports. A
better measure of previous credit market experience may well have yielded different results.
The location variable also produced mostly insignificant results. Our basic finding was
that loan approval was somewhat easier to obtain if the property was located in a census tract
with a vacancy rate higher than the median for the metro area. This result, however, was not
significant at the 5 percent level. Insignificant results were also obtained when other proxies
defining good and bad location were used. In particular, when the quality of location was
measured using a dummy variable indicating whether the minority population in the census tract
of the property exceeded 30 percent, insignificant results were found.
To analyze the impact of race, we must consider the different variables that interact with
the race variable. In particular, in our specification, race interacted with OBRAT, the ratio of
total monthly obligations to total monthly income. Because O B R A T is a continuous variable,
the impact of race on the creditworthiness of a loan applicant will depend on the level of
OBRAT. Thus, the coefficient on race alone is not very informative. W e computed the effect
of race using two levels of the debt obligation ratio, one at the lowest quartile and one at the
third quartile. Conditioning on "bad" levels of credit history and education (CHIST=SCH=0),




12

we found the effect of race to be small and statistically insignificant for a relatively low level of
OBRAT; the coefficient was .626 with a standard error of .396. When O B R A T rose, however,
we found that the coefficient became larger (1.1463) and statistically significantly different from
zero (standard error was .37). These results suggest that race was relatively unimportant to
mortgage lenders when the objective measure of monthly obligations indicated a high-quality
applicant. As this objective measure worsened, the results suggest that white applicants were
judged more creditworthy than minority applicants. Note that these calculations were performed
holding all other applicant characteristics constant.
Itis also interesting to compute the effects of the race variable allowing credit history and
education to take different values. When we set CHIST=SCH=1, we found that race was
completely insignificant for a low value of OBRAT, and only marginally significant for a higher
OBRAT. Again, the results suggest that for applicants who were high-quality in terms of their
objective measures, race seemed unimportant to lenders. It appears to be the marginal minority
applicant whose creditworthiness was reduced because of race.
With respect to the education level of the borrower, we found no evidence that education
played an important role in the accept/reject decision. The only interaction variable involving
education level that was statistically significant was that for education and location (the
coefficient on S C H L O C was statistically significantly different from zero at a 1 percent
significance level). However, this result may have been a statistical anomaly (Type I error),
because we found no empirical evidence that either education (SCH) or location (LOC) had a
statistically significant direct effect on creditworthiness. The lack of significance of education
may be explained by the binary nature of this variable— we could only distinguish between




13

applicants who had completed high school and those who had not; we did not have sufficient
information to distinguish the exact number of years of schooling beyond high school.
The credit history variable (CHIST) produced a more interesting set of results. The
estimated direct effect of credit history on the index of creditworthiness was positive and
statistically significant for all sets of conditioning information. Not surprisingly, this means that
having a good credit rating increased the probability of loan approval for both white and minority
applicants and for males and females. An interesting point is that the effect was stronger (the
estimated coefficient was larger and the standard error smaller) for minority applicants than for
white applicants.

Predicted Probabilities of Approval
An interesting and somewhat different interpretation of the statistical results appears in
table 4.

This table shows the predicted probabilities of approval and changes in approval

probabilities for applicants with varying characteristics. We focused on the changes associated
with four applicant characteristics: race, credit history, obligation ratio, and location. We held
the values of the other variables constant. We measured the continuous variables (e.g., HRAT
and UEMP) at their means while assuming that the other categorical variables in the sample had
the value held by the majority of applicants (e.g., SELF=0). The first set of entries in table 4
shows the different effects the variable credit history had on loan approval for white and minority
applicants. The probability of loan approval for a white male buying property in a low vacancy
census tract fell about 5 percent as his credit rating went from good to bad; even with a bad
credit history, his probability of loan approval was still estimated to be slightly over 90 percent.




14

Here, we set the obligation ratio at the mean value for white applicants. In contrast, a minority
male, with obligation ratio set to the mean value for minorities, buying a home in a low-vacancy
census tract saw his estimated probability of loan approval fall to about 82 percent as his credit
rating fell, a change of nearly 13 percent. On the other hand, a white loan applicant with the
objective measures set to good values has a predicted probability of loan approval of 96 percent,
only slightly higher than the 94 percent probability predicted for a minority applicant with similar
characteristics.
Now compare "high-quality" applicants to "low-quality" applicants. If a white male with
a good credit history, average obligation ratio, seeking to purchase property in a good
neighborhood, suddenly found his race changed to black or Hispanic, his probability of approval
would have dropped by only 2 percentage points. If this same white male applicant had a bad
credit history, average obligation ratio, and was seeking to purchase property located in a bad
neighborhood, his probability of approval would have dropped by 8 percentage points if his race
suddenly changed to black or Hispanic. Stated differently, if a black male with a bad credit
history, purchasing property in a bad neighborhood, suddenly found his race changed to white,
his probability of approval would have increased by 8 percentage points, while if his credit
history was good and his neighborhood of choice was good, the change in race would have
increased his probability of approval by only 2 percentage points.
Finally, we focused on the impact of raising the obligation ratio on the probability of loan
approval. That the obligation ratio was an important determinant of loan approval is obvious
from the basic logit results in table 3. The coefficient was a substantial negative number with
a small standard error—hardly a surprising result. However, when we analyzed the differential




15

impact of race, the results were surprising. First, consider a white male with poor objective
measures of creditworthiness; that is, his credit history was bad, he was buying property in a high
vacancy census tract, and his ratio of monthly obligations to monthly income was high,
OBRAT=60.0.6 This loan applicant had a predicted approval probability of close to 70 percent.
The same white male with an obligation ratio of only 30.0 (recall the mean for whites is 32.3)
had a 94 percent chance of loan approval. A minority male with this same profile (bad credit
history, bad location, OBRAT=30.0) had a predicted approval probability of 88 percent, not too
far from the prediction for whites. But if this minority male had an obligation ratio of 60.0, his
predicted loan approval probability was less than 16 percent, far lower than the 70 percent
predicted for a similar white male.

Implications of the Findings
These findings are important for several reasons. First, we found no evidence to support
the "thicker file" explanation for the disparate rejection rates for black and Hispanic applicants
versus white applicants, at least in the Boston Fed mortgage study sample. Second, we also
found no evidence that loan officers in the Boston metropolitan area engaged in the practice of
redlining on the basis of the economic status of the neighborhood in which the property was
located (status measured by vacancy rates, the percent of population at or below the poverty
level, and the percentage of the population belonging to a minority group).
Overall, the analysis suggests that the marginal minority applicants in our sample were
more likely the "victims" of statistical discrimination resulting from the lack of a cultural affinity
with white lending officers as opposed to invidious racial discrimination. This is suggested by




16

the behavior of the race variable under differing sets of conditioning information. For applicants
with good credit profiles, race was not a significant factor in the accept/reject decision. However,
race was very significant for those with bad credit histories, and a bad credit history had the
effect of lowering the probability of approval for minorities by an amount appreciably larger than
for whites. Similarly, race became an important factor for high levels of the monthly obligation
ratio; our results indicate that minority applicants with high debt ratios were very much less likely
to receive loan approval than similar white applicants.
While these results are consistent with the cultural affinity hypothesis put forth by
Calomiris, et al. (1994), it is also possible to interpret these results as the outcome of a simple
rational Bayesian updating procedure used by loan officers.

Under this interpretation, the

precision of estimates of the probability of repayment conditional on all available information,
including observable applicant characteristics, improves as loan officers process more and more
applications. Clearly, if mortgage loan officers process more white applications than minority
applications, the precision of the posterior probability distribution of repayment associated with
white applicants will be greater than that for minority applicants. By processing more white
applications and observing the outcomes of the lending decisions, the loan officer has more
information with which to determine how various applicant characteristics, including less
objective (and potentially mitigating) factors, impact the outcome of the loan. Thus, it is quite
possible for factors other than credit history to matter for whites, possibly mitigating the impact
of a weak credit history, while at the same time credit history may continue to play a dominant
role in the accept/reject decision for minorities.




17

While this interpretation might be suggestive of the logic used by proponents of the
"thicker file" explanation, it is not the same. The thicker file explanation rests on a presumed
linkage between the thickness of white applicants' files and the possibility that they received
special treatment in the form of counselling or coaching during the application process. The
cultural affinity and statistical discrimination explanations do not depend on any special
assistance being given white applicants.

They only require that loan officers have a more

informative posterior probability distribution of repayment for whites than for minorities.

4.

Summary and Conclusion
The search for statistical evidence of racial discrimination in economic life is exceedingly

difficult. The results obtained in the literature using approaches that rely exclusively on the sign
and significance of a racial dummy variable in a standard regression equation generally appear
inconclusive. In this paper, we examined the cultural affinity hypothesis put forth by Calomiris,
et al. (1994). This hypothesis states that white loan officers, because of a lack of familiarity with
minority applicants, will rely more heavily on characteristics that can be observed at low cost
(e.g., objective loan application measures) in evaluating the creditworthiness of minority
applicants. An interesting feature of this hypothesis is that it allows us to test whether mortgage
lenders reward objective measures of borrower quality differently for whites than for minorities.
In this way the methodology allows us to conduct a more stringent test of mortgage lender
discrimination on the basis of race, sex, and property location.




18

The empirical model predicts the probability that a mortgage applicant will receive loan
approval. We focused on four objective borrower characteristics that are generally believed to
be important factors in measuring borrower quality. These are the applicant's education level,
credit history, previous credit market experience, and the ratio of total monthly obligations to
monthly income. Previous credit market experience was used to test the "thicker file" hypothesis.
To allow for the possibility that these factors were perceived differently by lenders depending on
the race of the applicant, each of these four variables was interacted with the applicant's race.
Our results, based on mortgage application data collected and reported by the Federal
Reserve Bank of Boston, indicate strong support for the cultural affinity hypothesis. We found
empirical evidence that certain borrower characteristics were treated differently by lenders. In
particular, the loan applicant's credit history and monthly obligation ratio appeared to be assessed
differently for minority (black and Hispanic) borrowers than for whites. Interestingly, for highquality borrowers (applicants with good credit histories and relatively low monthly obligation
ratios), race seemed unimportant. The predicted probability of loan approval was very similar
for white and minority applicants with good objective measures. For more marginal borrowers,
race was much more important. In one case, a minority loan applicant with poor objective
measures had only about a 16 percent chance of loan approval. A white applicant with the same
poor objective measures had nearly a 70 percent chance of loan approval.
The empirical results regarding the applicant’s education and the thickness of the
applicant's file were disappointing. Neither education nor thickness of file appeared to be a
significant factor in the loan approval process. We speculate that the results on education may
have been due to the fact that our data on education were quite limited; we could only determine




19

whether the applicant had completed high school. Our results on thickness o f file may have been
due to a poor measure o f credit market experience.

These findings, while suggestive, are based on data from the Boston area and cannot be
generalized to all U.S. mortgage markets. Nonetheless, this appears to be a fruitful line of
research, in that it implies that disparate loan rejection rates for whites and minorities are not the
result of all minority applicants' being forced to meet higher standards than white applicants.
Instead, it is among the marginal applicants where differences in the credit assessment process
seem related to race. Stated differently, those candidates who, by objective measures, appear to
be poor credit risks, are the ones for whom race matters.




20
Notes

1.

There were also a number of criticisms leveled at the first study to use the data, Munnell,
et al. (1992). We respecified the model used in the Boston Fed study in order to examine
whether public information about loan applicants was systematically treated differently
by mortgage lenders.

2.

The methodology used by Holmes and Horvitz (1994) has received considerable criticism,
making their empirical results somewhat suspect.

3.

The conclusions of the Boston Fed Study have been challenged and criticized by Home
(1994), Liebowitz (1994), and Zandi (1993) for containing numerous data errors, e.g.,
miscoded and incorrect information, among others. However, Carr and Megbolugbe
(1993) conducted a detailed analysis of the Boston Fed Study database, systematically
eliminating erroneous data and atypical observations, and found that race was still a
significant factor in the loan application accept/reject decision. Based on their analysis,
Carr and Megbolugbe concluded that their results presented an even stronger case for
discrimination than was originally reported in the Boston Fed Study. A recent working
paper by Bostic (1994), reexamining the Boston Fed's findings, reported evidence of
significant racial effects. Minority applicants were found to face substantial negative
biases in terms of debt-to-income requirements but favorable biases regarding loan-tovalue requirements relative to identical white applicants. Similar to the results reported
in this paper, Bostic found that the biases held only for the marginal applicants.

4.

It is also suggested that the applications of black and Hispanic applicants failed to meet
the underwriting guidelines required for selling these mortgages in the secondary market
more often than those of white applicants.

5.

In the context of the model presented below, this will result in significantly
different coefficients between whites and minorities for these coefficients, rather
than different cut-off ratios.6

6.

The value of 60.0 for OBRAT is higher than approximately 90 percent of the values in
the sample.




References

Albrecht, James. "A Procedure for Testing the Signalling Hypothesis," Journal o f Public
Economics 15 (1981), 123-32.

Benston, George J. "Mortgage Redlining Research: A Review and Critical Analysis," Journal
of Bank Research 11 (1981), 8-23.

____________________ and Dan Horsky. "The Relationship Between the Demand and Supply
of Home Financing and Neighborhood Characteristics: An Empirical Study of Mortgage
Redlining," Journal of Financial Services Research 5 (1992), 235-260.

Bostic, Raphael. "Patterns of Racial Bias on Mortgage Lending," Working Paper, Department of
Economics, Stanford University, 1994.

Bradbury, Katharine, Karl E. Case, and Constance R. Dunham.
Mortgage Lending

in Boston,

1982-1987,"

New

"Geographic Patterns of

England Economic Review

(September/October 1989), 3-30.

Calomiris, Charles W., Charles M. Kahn, and Stanley D. Longhofer.

"Housing-Finance

Intervention and Private Incentives: Helping Minorities and the Poor," Journal o f Money,
Credit and Banking 26 (August 1994), 634-674.




Canner, Glenn B., Stuart A. Gabriel, and J. Michael Woolley. "Default Risk and Mortgage
Redlining: A Study of the FHA and Conventional Loan Markets," Southern Economic
Journal 58 (July 1991), 249-262.

Carr, James H., and Isaac F. Megbolugbe. "The Federal Reserve Bank Study on Mortgage
Lending Revisited," Fannie Mae Working Paper, Office of Housing Research, 1993.

Holmes, Andrew, and Paul Horvitz.

"Mortgage Redlining:

Race, Risk, and Demand,"

Journal o f Finance 49 (March 1994), 81-99.

Home, David K. "Evaluating the Role of Race in Mortgage Lending," FDIC Banking Review
7 (Spring/Summer 1994), 1-15.

Hutchinson, Peter M., James R. Ostas, and J. David Reed.

"A Survey and Comparison of

Redlining Influences in Urban Mortgage Lending Markets," AREUEA Journal 5 (1977:4),
463-472.

Liebowitz, Stan. "A Study That Deserves No Credit," Wall Street Journal (September 1, 1994),
A-14.

Munnell, Alicia H., Lynne E. Browne, James McEneaney, and Geoffrey Tootell. "Mortgage
Lending in Boston: Interpreting the Data," Working Paper, Federal Reserve Bank of
Boston, 1992.




Zandi, Mark. "Boston Fed's Bias Study was Deeply Flawed," American Banker (August 19,
1993).




Table 1
D e s c r ip t io n

of

E x pl a n a t o r y V a r ia b l e s

HRAT

Ratio of monthly housing expenses to monthly income.

OBRAT

Ratio of total monthly obligations to monthly income.

MHIST

Mortgage payment history: 1 if two or fewer mortgage payments are recorded as
late, 0 otherwise.

PUB

Public records credit history: 1 if there are public record defaults, 0 otherwise.

SELF

Self-employed: 1 if applicant is self-employed, 0 otherwise.

CHIST

Consumer payments credit history: 1 if there is no history of delinquent credits
(defined as one or more accounts 60 days or more past due), 0 otherwise.

UEMP

Estimate of probability of unemployment by industry.

MULTI

Type of property purchased: 1 if applicant is purchasing a two- to four-family
home, 0 otherwise.

COSIGN

Co-signer of application: 1 if co-signer, 0 otherwise.

MS

Marital status: 1 if married, 0 otherwise.

LNPR

Loan-to-price ratio.

DEP

Number of dependents.

SCH

Years of education: 1 if applicant has more than 12 years in school, 0 otherwise.

THK

Thickness of file: 1 if there are more than two credit reports in the file, 0
otherwise.

ARAC

Race of applicant: 1 if applicant is white, 0 otherwise.

ASEX

Sex of applicant: 1 if applicant is male, 0 otherwise (i.e., female or information
not available).

LOC

Characteristic of location: 1 if tract vacancy is less than the MSA median, 0
otherwise.

SCHRAC

SCH*ARAC

SCHSEX

SCH*ASEX

SCHTHK

SCH*THK

SCHLOC

SCH*LOC

CHRAC

CHIST*ARAC

CHSEX

CHIST* ASEX

CHTHK

CHIST*THK

CHLOC

CHIST*LOC

OBRAC

OBRAT*ARAC




Table 2
S u m m a r y S ta tistic s fo r V ariables
Variable .

Sia n I I U I

in

M odel

HRAT

25.227

7.523

M liiiiiS
■l l l l l i l l
0.52

OBRAT

32.719

8.259

0.52

79.00

MHIST

0.975

0.155

0.00

1.00

PUB

0.931

0.254

0.00

1.00

SELF

0.119

0.323

0.00

1.00

CHIST

0.802

0.398

0.00

1.00

UEMP

3.776

2.054

1.80

10.60

MULTI

0.136

0.342

0.00

1.00

COSIGN

0.029

0.167

0.00

1.00

MS

0.612

0.488

0.00

1.00

.821

.166

DEP

0.713

1.065

0.00

7.00

SCH

0.727

0.446

0.00

1.00

THK

0.104

0.306

0.00

1.00

ARAC

0.761

0.426

0.00

1.00

ASEX

0.775

0.418

0.00

1.00

LOC

0.533

0.499

0.00

1.00

SCHRAC

0.585

0.493

0.00

1.00

SCHSEX

0.558

0.497

0.00

1.00

SCHTHK

0.076

0.266

0.00

1.00

SCHLOC

0.402

0.490

0.00

1.00

CHRAC

0.639

0.480

0.00

1.00

CHSEX

0.628

0.484

0.00

1.00

CHTHK

0.080

0.271

0.00

1.00

CHLOC

0.438

0.496

0.00

1.00

OBRAC

24.594

0.00

79.00

LNPR

'In thousands of dollars.




15.50

.011

72.00

2.57

L

ogit

R

esults o n

Table 3
M ortgage A

cceptances

Dependent Variable = 1 if mortgage was accepted, 0 if mortgage was denied.
§ji VARIABiUMl
jName $$$$$$$.

H
S

E stimated! ! ! !
tandard E R illte

HRAT

0.019223

0.012428

1.5468

OBRAT

-0.12174

0.018657

-6.5251

MHIST

0.75848

0.36495

2.0783

PUB

-1.5735

0.21758

-7.2320

SELF

-0.64513

0.21603

-2.9862

CHIST

1.3570

0.37768

3.5929

UEMP

-0.093505

0.033145

-2.8211

MULTI

-0.60786

0.19700

-3.0855

COSIGN

1.0994

0.56227

1.9552

MS

0.45762

0.17267

2.6502

LNPR

-1.1461

0.48565

-2.3599

DEP

-0.091568

0.073145

-1.2519

SCH

-0.56899

0.42101

-1.3515

THK

-0.24733

0.52209

-0.47372

ARAC

-0.99226

0.79523

-1.2478

ASEX

-0.42984

0.44151

-0.97357

LOC

-0.69419

0.36295

-1.9126

SCHRAC

-0.30177

0.36058

-0.83690

SCHSEX

0.72755

0.42585

1.7085

SCHTHK

0.053618

0.49735

0.10781

SCHLOC

0.72478

0.34161

2.1216

CHRAC

-0.39771

0.34889

-1.1400

CHSEX

-0.23831

0.37715

-0.63186

CHTHK

0.11223

0.47534

0.23610

CHLOC

0.23793

0.33181

0.71707

OBRAC

0.0578

0.0202

2.8702

Log-likelihood = -780.94
Log-likelihood function = -613.33
Likelihood ratio test = 335.228 with 26 d.f.



Table 4
P r e d ic t e d P ro ba b ility o f L o a n A ppr o v a l
P redM ^ M
PR O B ^P® P
O F A P lI if ttl

ARAC=W, CHIST=good, LOC=good, OBRAT=RW

.9629

ARAC=W, CHIST=bad, LOC=good, OBRAT=RW

.9087

ARAC=M, CHIST=good, LOC=good, OBRAT=RM

.9453

ARAC=M, CHIST=bad, LOC=good, OBRAT=RM

.8166

ARAC=W, CHIST= good, LOC=good, OBRAT=RM

.9587

ARAC=M, CHIST=good, LOC=good, OBRAT=RM

.9453

ARAC=W, CHIST= bad, LOC=bad, OBRAT=RM

.8962

ARAC=M, CHIST=bad, LOC=bad, OBRAT=RM

.8119

ARAC=W, CHIST= bad, LOC=bad, OBRAT=60

.6929

ARAC=W, CHIST= bad, LOC=bad, OBRAT=30

.9379

ARAC=M, CHIST=bad, LOC=bad, OBRAT=60

.1551

ARAC=M, CHIST= bad, LOC=bad, OBRAT=30

.8762

-.0542

-.1287

-.0134

-.0843

.245

.7211

1 W=White; M=Minority; good and bad credit histories are defined in Table 1; RM—mean of obligation
ratio (OBRAT) variable for minorities=34.06; RW—mean of obligation ratio (OBRAT) variable for
whites=32.3. Note that RM and RW are not statistically significantly different.
2

Change in the approval probability associated with an applicant moving from the set of characteristics given
in the top row of each panel to those given in the bottom row.




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