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ISSUE 15 | AUGUST 2016

Perspectives on Household Balance Sheets

Choosing to Fail or Lack of Choice?
The Demographics of Loan Delinquency
By William R. Emmons, Tasso Pettigrew and Lowell R. Ricketts

L

oan-delinquency rates vary significantly across demographic dimensions,
including age, education level (which may
stand in for socioeconomic status) and race
or ethnicity. In particular, younger, less
educated and nonwhite families are much
more likely to miss loan or other payment
obligations than older, better educated and
white families. Do “delinquency-prone”
demographic characteristics underlie a
greater “taste for risk,” or are families
with certain demographic characteristics
exposed to greater risk for reasons they did
not choose and cannot control? Survey
evidence collected over about 25 years
points toward structural factors related to
demographic characteristics rather than
individual risk preferences as the better
explanation for varying delinquency risks.
“Delinquency-prone” demographic
characteristics. Figure 1 displays estimated
odds ratios and 95-percent confidence intervals for the probability of a family with
a given demographic characteristic becoming seriously delinquent on a loan or other
payment obligation relative to a reference
group with a relatively low delinquency
probability.1 These estimates are derived
from logit regressions that use 41,528
families observed in the Federal Reserve
Board’s Survey of Consumer Finances at
some time between 1989 and 2013.2
For example, we estimate that a randomly chosen family headed by someone
under 40 years old is 5.04 times as likely
to become seriously delinquent—i.e., miss
at least two consecutive payments—as
a randomly chosen family headed by
someone 62 years old or more.3 With
95-percent confidence, we estimate that

the true odds ratio lies between 4.77 and
5.34. If families from these two groups
were equally likely to become seriously
delinquent, the odds ratio would be 1.00.
Thus, we are highly confident that young
families are more likely to become seriously delinquent than old families—
indeed, about five times as likely. Being
young appears to make a family prone to
delinquency. Middle-aged families are
3.75 times as likely as older families to
miss two or more consecutive payments,
with a 95-percent confidence interval of
3.26 to 4.30.4
Likewise, we estimate that a randomly
chosen family headed by someone with at
most a high school diploma is 2.50 times as
likely to become seriously delinquent as a
family headed by someone with postgraduate education. With 95-percent confidence,
we believe the true odds ratio lies between
2.28 and 2.74, far above 1.00. We estimate
that families with at most a four-year college degree are 2.37 times as likely to become seriously delinquent as a family with
postgraduate education, with a 95-percent
confidence interval of 1.98 to 2.85.
Finally, we estimate that a randomly
chosen black family is 2.17 times as likely
to become seriously delinquent as a white
family, with a 95-percent confidence
interval of 1.94 to 2.41. Among Hispanic
families, we estimate that serious delinquency is 1.58 times as likely as among
white families, with a confidence band of
1.36 to 1.84—comfortably above 1.00.
Choosing to fail? Different “tastes for
risk.” We have documented very large dif(continued on Page 2)

1

The Center for Household Financial
Stability at the Federal Reserve Bank of
St. Louis focuses on family balance sheets,
especially those of struggling American
families. The Center researches the determinants of healthy family balance sheets,
their links to the broader economy and
new ideas to improve them. The Center’s
original research, publications and public
events aim to impact future research, community practice and public policy. For more
information, see www.stlouisfed.org/hfs.

(continued from Page 1)

FIGURE 1

Probability
ofSerious
Serious
Delinquency:
Baseline
Probability of
Delinquency:
Baseline
7
Odds ratios: Number of times as
likely to be seriously delinquent

ferences in delinquency risk across demographic groups, but we
have not explained why these differences exist. A potential explanation is that delinquency-prone demographic characteristics
correlate with a greater taste for risk. In other words, younger,
less educated and nonwhite families simply may prefer to take
on some obligations they know they are relatively less able to
meet than their older, better educated and white counterparts.
Under this hypothesis, these risk tolerant families readily accept higher risk-based interest rates and understand that their
(likely already low) credit scores will suffer if they fail to pay on
time. As explained below, we do not believe this hypothesis is
supported by the evidence, but we investigate it because some
readers may have heard arguments like it.
To test this possibility, we looked for evidence of financial
and personal choices and behaviors that might lead to higher
delinquency rates.5 The results are shown in Figure 2, where
the odds ratios now simulate predicted delinquency risks after
risky financial and personal choices and behaviors have been
eliminated. In essence, the model answers this question: How
much more likely is a randomly chosen young (or less educated
or nonwhite) family to encounter serious delinquency than
an old (or better educated or white) family if the young family
made financial and personal choices exactly like those of an old
(or better educated or white) family and faced the same risks of
income shocks, bequests or bad health?
With the exception of Hispanic families, eliminating all of the
so-called “bad choices” and “bad luck” that we could identify
in our data reduced but did not remove the disparities in serious delinquency risks. We estimate that young families would
be 1.80 times as likely as old families to become seriously
delinquent even if young families mimicked the choices and
behaviors of old families; middle-aged families would become
seriously delinquent 2.08 times as often. Confidence bounds for
both young and middle-aged families do not come close to overlapping 1.00, which would imply equality of risks.
Families with at most high school education and at most college education both would remain about 1.4 times as likely to
become seriously delinquent as the most highly educated families, with 95-percent confidence intervals clearly above 1.00. We
estimate that black families would become seriously delinquent
about 1.36 times as often as white families even if the former
emulated the latter in every way we could measure; with 95-percent confidence, we believe the true odds ratio lies in the interval
1.20 to 1.54. As noted, Hispanic families are the only group that
becomes just as likely as its reference group (white families) if the
Hispanic families’ financial and personal choices, behavior and
exposure to luck conformed to those of the lower risk group.
Thus, demographic characteristics generally retain important
predictive power for delinquency rates even after differences in
observable choices, behavior and luck are taken into account.
This may be due to unobservable structural, systemic or historical
factors or to experiences related to specific demographic groups.
But how realistic is this exercise? Can young families really
“act old”? Can less educated families behave as if they were
highly educated, and nonwhite families simply choose to expose

6
5
4
3
2
1
0
Young
vs. old

Middle-aged
vs. old

HS or less
vs.
postgraduate

Four-year
college
or less vs.
postgraduate

Black
vs. white

Hispanic
vs. white

Federal Reserve
Board Survey
Consumer
Finances
between
1989 and
2013,
SOURCES SOURCES:
FOR ALL FIGURES:
Federal Reserve
Board of
Survey
of Consumer
Finances
between
1989
and
authors’
calculations
2013, authors’
calculations.
NOTES FOR ALL FIGURES: Figures reflect, with 95-percent confidence, the probability that a group
FEDERAL RESERVE BANK OF ST. LOUIS
will be seriously delinquent relative to the probability that a low risk reference group will be seriously
delinquent. For example, in Figure 1, the “young” group is about five times as likely as the “old” group to
be seriously delinquent. Young refers to family heads under 40 years old. Middle-aged refers to family
heads between 40 and 61 years old. Old refers to family heads 62 years old or older.
HS or less refers to family heads with at most a high school or GED diploma. Four-year college or less
refers to family heads with at least a high school diploma but no more than a four-year college degree.
Postgraduate refers to family heads with schooling beyond a four-year college degree.
Black refers to a survey respondent who identifies as non-Hispanic African-American or black.
Hispanic refers to a survey respondent who identifies as Hispanic of any race. White refers to a survey
respondent who identifies as non-Hispanic white.
FIGURE 2

Probability
Serious
Delinquency:
Probability ofof
Serious
Delinquency:
“Bad Choices”
“Bad
Luck”
Eliminated
“Bad
Choices”andand
“Bad
Luck”
Eliminated
Odds ratios: Number of times as
likely to be seriously delinquent

7
6
5
4
3
2
1
0
Young
vs. old

Middle-aged
vs. old

HS or less
vs.
postgraduate

Four-year
college
or less vs.
postgraduate

Black
vs. white

Hispanic
vs. white

SOURCES: Federal Reserve Board Survey of Consumer Finances between 1989 and 2013,
FIGURE 3 authors’ calculations

Probability
Serious
Delinquency:
Probability ofof
Serious
Delinquency:
Individual Choice
Deviations
fromfrom
Peer Group
Individual
Choice
Deviations
Peer Group
FEDERAL RESERVE BANK OF ST. LOUIS

Odds ratios: Number of times as
likely to be seriously delinquent

7
6
5
4
3
2
1
0
Young
vs. old

(continued on Page 3)

Middle-aged
vs. old

HS or less
vs.
postgraduate

Four-year
college
or less vs.
postgraduate

Black
vs. white

Hispanic
vs. white

NOTE: Freely
exercised
choicesReserve
deviateBoard
only from
demographically-defined
groups.
SOURCES:
Federal
Survey
of Consumer Financespeer
between
1989 and 2013,
authors’ calculations

2

FEDERAL RESERVE BANK OF ST. LOUIS

(continued from Page 2)
themselves only to the risks white families typically face? Clearly,
these hypothetical scenarios cannot be the last word when
exploring the demographics of loan delinquency.
A lack of choice: The importance of demographically defined
peer groups. We believe a more realistic starting point for assessing the mediating role of financial and personal choices, behavior and luck in determining delinquency risk is a family’s peer
group. That is, compared to a typical or the average young black or
Hispanic family with no more than a high school diploma, how
much debt does a particular family of this type owe? How much
of their assets are invested in housing compared with their peergroup average? What is their family structure?
To capture what we believe are important “gravitational”
effects of a family’s peer group, we calculated the average value
for each of our explanatory variables—describing financial
choices, family structure and exposure to luck—for every family
according to its age, race or ethnicity and education.6 We then
included only the deviation from a peer-group average for each
variable in the regression—for example, how much more or less
of a given family’s assets were invested in housing than the average for its peer group? We assign the explanatory power of the
peer group itself for predicting delinquency risk to its underlying
demographic characteristics. In other words, we assume that the
distinctive financial or personal traits associated with a peer group
ultimately derive from the structural, systemic or historical circumstances and experiences unique to that demographic group.
Figure 3 shows how risky each demographic group appears
to be relative to its low-risk reference group when we assume
that individual families’ choices extend only to their departures
from peer-group norms. Here we assume that young families as
a whole cannot escape their inherent challenges and risk exposures. That is, one cannot simply choose to enter adult life with
student loans paid off, money in the bank to pay for a house and
car, and the accumulated financial know-how of a lifetime of
learning by doing. Consequently, individual choices may exert
only marginal effects. Likewise, families headed by someone with
low or moderate job market skills cannot simply choose to earn a
high income or invest heavily in a diversified portfolio of financial assets while taking on little debt. Families of color cannot
simply choose to ignore the legacies of historical discrimination
and deprivation that shaped their parents’ and their own lives.
Comparing Figure 3 to Figure 1, we conclude that groups with
“delinquency-prone” demographic characteristics—young, less
educated and nonwhite families—may have little choice in the
matter. Figure 3 displays our estimates of the odds ratios and confidence intervals for delinquency risk by demographic group when
we attribute to families in each group only the deviations from
peer-group means that they freely exercise. Figures 1 and 3 are
qualitatively similar, as each demographic group shown appears
significantly riskier than its reference group. Rather than signaling
an elevated “taste for risk,” demographic characteristics associated
with high delinquency risk likely indicate structural, systemic and
historical circumstances and experiences that individual families
did not choose and over which they have little control.
Understanding loan delinquency demographics requires a
deeper explanation than a “taste for risk.” The striking differences in delinquency risk across demographic groups cannot be

explained simply by referring to differences in risk preferences.
Instead, we suggest that deeper sources of vulnerability and exposure to financial distress are at work. Families with “delinquencyprone” demographic characteristics—being young, less educated
and nonwhite—did not choose and cannot readily change these
characteristics, so we should refrain from adding insult to injury
by suggesting that they simply have brought financial problems
on themselves by making risky choices.

William R. Emmons is senior economic adviser at the Center for Household Financial Stability at the Federal Reserve Bank of St. Louis.
Lowell R. Ricketts is a senior analyst at the Center, and Tasso Pettigrew
was the Center’s summer intern.

ENDNOTES
1

2

3

4

5

6

3

Serious delinquency is defined as missing at least two consecutive
scheduled payments within the year prior to the survey interview.
A logit regression is a statistical technique that estimates a causal relationship between a dichotomous outcome (in this case falling behind
on debt payments) and a set of explanatory variables.
These odds are unconditional in the sense that we include all families
in our calculations, whether or not they owe any debt or have other
fixed obligations.
To be sure, some of the gap is due to a larger share of old families
owing no debt or owing only small amounts. We control for differences in borrowing behavior and other financial choices in the
“A lack of choice” section and Endnote 5.
In particular, we estimated a logit regression of serious delinquency
that contains, in addition to dummy variables for demographic characteristics, a large number of independent variables capturing aspects
of a family’s financial choices related to liquidity, diversification and
leverage; its family structure; financial obligations to extended family;
its exposure to income shocks and bequests; and a measure of overall
physical health.
Due to sample-size limitations, we combine racial and ethnic groups
and education groups to create 12 peer groups. We define two racial/
ethnic categories: (1) Non-Hispanic white or other/Asian, (2) NonHispanic African-American/black or Hispanic, any race. We define two
education categories: (1) High school or GED diploma and below, (2)
Some college or any college up to graduate/professional degree. We
define three age categories: (1) Young, headed by someone under 40;
(2) Middle-aged, headed by someone between 40 and 61; (3) Old,
headed by someone 62 years old or older. The result is 12 peer groups,
with each family assigned to one of them.