Measuring credit risk: does complexity matter?
Jesswein, Kurt
ABSTRACT
This paper examines the issue of how to measure a company's
ability to meet its external financing commitments. Success in this area
is critical for businesses extending credit and is a topic of
considerable interest yet with varied coverage in classrooms and
business training rooms. A major component is finding an appropriate
metric with which to evaluate the creditworthiness of borrowers. Given
the level of importance placed on the topic in the world of credit and
in academia, one finds a plethora of approaches with little consensus
among them.
We review a variety of approaches to measure current and future
liquidity and creditworthiness. Initial tests determine the relative
strengths and weaknesses of the approaches with recommendations provided
on how to best evaluate the topic, both in the classroom and in the
practitioners' world. Of particular interest is the calculation of
the various coverage ratios designed to measure the borrower's
ability to meet its current and future financial obligations.
Results indicate that many of the key financial ratios used seem to
follow very similar tracks. Extensive variations among the different
formulations of the ratios appear to offer little additional insights.
We are left with a call to solidify or refine the most straightforward
approaches to evaluating credit as it appears that a simpler set of
information to work with would allow for better analysis of the
underlying reasons for any deviations or any volatility in said numbers.
INTRODUCTION
Measuring a company's ability to meet any external financing
commitments is a topic that is critical to the success of businesses
extending credit, such as commercial banks, and one of considerable
interest in university classrooms and business training rooms. A major
component of this topic is finding an appropriate metric with which to
evaluate the creditworthiness of borrowers. Given the level of
importance placed on the topic in the world of credit and in academia,
one finds a plethora of approaches with little consensus among them.
This paper examines the variety of approaches used to measure a
company's current and future liquidity and creditworthiness.
Initial tests are performed to determine the relative strengths and
weaknesses of some of the approaches with recommendations provided on
how to best approach the topic, both in the classroom and in the
"real-world." Of particular interest is the calculation of the
various coverage ratios designed to measure the borrower's ability
to meet its current and future financial obligations.
OVERVIEW OF LIQUIDITY MEASUREMENT TOOLS
In lending and various other debt contracts, the providers of funds
tend to place various conditions on the borrowers in order to protect
their investment. Many of the conditions amount to debt covenants
requiring the borrowers either to provide specific information or
actions (positive covenants) or more likely restrict the borrowers'
activities (negative covenants). Examples of positive covenants would
include the requirement that a borrower provide timely, audited
financial statements or ensure proper insurance of the assets being
financed. Negative covenants may include restrictions on the payment of
dividends or thresholds placed on particular financial ratios that the
borrower may not exceed (or fall below). In fact, accounting-based
covenants are quite common, although they are often instituted on a
case-by-case basis. In one broad-based study, Dichev & Skinner
(2002) examine the variety of lending terms most often found in the loan
facilities. After their exhaustive study, they found the most common
items found in debt covenants were debt-to-cash flow measures and both
interest coverage and fixed charge coverage ratios
Unfortunately, there are difficulties in examining such measures in
that they can be defined in a variety of ways. This variation of
definitions is argued to be necessary given that lenders must often
uniquely define financial statement variables as they customize loans to
suit specific borrower characteristics (Leftwich, 1983). This does not
preclude, however, the topic of addressing which approaches may be most
meaningful. For example, many (most) finance and accounting textbooks
include various credit ratios in their coverage of financial statement
analysis with little consistency among the approaches. This is
particularly the case for the fixed charge coverage ratio.
In most cases the fixed-charge coverage ratio is seen as an
extension of the more standard interest coverage ratio (often referred
to as times interest earned), a ratio itself defined along the lines of
a comparison of a company's operating earnings to its interest
expenses. Extending the ratio to the broader "fixed charge"
measure often includes adding components such as the required principal
payments on debt and capital leases (not just the interest) and other
fixed finance charges such as the required payments (the implicit
interest and/or principal payment) of off-balance sheet operating leases
and of preferred stock dividends. A review of many of the differing
approaches follows.
Many financial management textbooks, such as Block & Hirt
(2005), define the fixed charge coverage ratio as the ratio of income
before fixed charges and taxes to fixed charges, with fixed charges
defined as the sum of interest expenses and operating lease payments
(sometimes also referred to as rental expenses). We will generally use
the operating lease terminology because it is the accounting conventions
associated with operating leases that are the key factors in causing the
expenses to be of such concern.
Brigham & Daves (2007) and others define fixed charge coverage
as the ratio of earnings before interest, taxes, depreciation and
amortization plus operating lease payments to the sum of payments for
interest, debt principal, and leases. Similarly, Koller, Goedhart and
Wessels (2005) and others define it as the ratio of earnings before
interest, taxes, depreciation, amortization, and rental (lease) expenses
to fixed charges, defined as the sum of interest and lease payments.
Another view shifts the focus from one that examines fixed
financing charges to one that encompasses the entire debt servicing that
a company faces. Gitman (2006) and others expand the basic fixed charge
coverage definition to one measuring the ratio of earnings before
interest and taxes plus lease payments to the sum of interest expense,
lease payments, as well as debt principal and preferred stock payments,
with both of the latter divided by one minus the tax rate because the
payments are made with after-tax dollars.
The fixed charge coverage ratio can also be defined along the lines
of the earnings to fixed charges ratio required by the Securities and
Exchange Commission (SEC) in securities offerings (Regulation S-K
[section]229.503). In this regard, Gibson (2007) and others define the
fixed charge coverage ratio as the ratio of recurring operating earnings
plus one-third of the total operating lease payments to the sum of
interest expense (including capitalized interest) and one-third of
operating lease payments. The one-third factor applied to the operating
lease payments is a widely-used "rule-of-thumb" measure of
estimating the finance charges implicit in the use of operating leases.
This type of approach most impressively (depressingly?) materializes
itself in to what is very likely the most complex fixed charge ratio (or
any other financial ratio) found in any standard college textbook, in
this case in Wild, Subramanyam, & Halsey (2007). The authors attempt
to operationalize the SEC's earnings to fixed charges ratio (from
Regulation S-K Paragraph 503d) as follows [and remember this is a
condensed version]:
Pre-tax income before discontinued operations, extraordinary items,
and cumulative effects of accounting changes plus interest incurred
less interest capitalized, amortization of interest expense and
discount or premium, interest portion of operating rental expenses,
preferred stock payments (on a pre-tax basis) and the amortization
of previously capitalized interest, all divided by the sum of total
interest expense, the amortization of interest expense and discount
or premium, the interest portion of operating rental expenses, and
any preferred stock payments (on a pre-tax basis).
Others, most notably Damodaran (2001), attempt to introduce a more
"scientific" approach to estimating the finance charges
associated with operating lease payments. Rather than blindly following
the "one-third" rule, they argue for a more
"economically-sound" argument in which the present value of
future operating lease obligations are capitalized with the capitalized
amount then multiplied by the company's cost of debt to determine
the "true" cost of financing implicit in the operating leases.
Shifting from the academic to the practitioner's world of
finance, we find just as wide a variety of approaches. For example,
Worldscope (Thomson Financial, 2003) equates the fixed charge coverage
ratio to its definition of the interest coverage ratio, defining it as
the ratio of earnings before interest and taxes to the sum of interest
expense and preferred dividends divided by one minus the tax rate.
Moody's defines it as the sum of net income, non-cash adjustments
and changes in working capital, interest expense, and lease expense, all
divided by the sum of interest and lease expense (Neuhaus, 2001).
Standard & Poor's defines it as the ratio of earnings before
interest and taxes and rent to total interest plus rents, taking into
account any preferred stock dividends when material (Standard &
Poor's, 2005). And if that is not confusing enough, Standard &
Poor's, in its Compustat database, defines its close cousin, the
debt service ratio, in at least two distinct ways. First, it is defined
as the ratio of free cash flows (cash flow from operations less capital
expenditures and common stock dividend payments) plus interest expense
to the sum of interest expense and current maturities of long-term debt,
Second, it is defined as the ratio of net income plus depreciation and
amortization to the total amount of debt due within one year. Standard
& Poor's also provides two other closely related
measures--EBITDA interest coverage and pretax fixed coverage. These are
specifically defined as the ratio of earnings before interest, taxes,
depreciation and amortization to interest expense and as pretax income plus interest and rental expenses divided by the sum of interest and
rental expenses.
Another major participant in the credit analysis game, the Risk
Management Association (RMA), focuses on what it refers to as "debt
service principal and interest coverage." It defines this ratio as
net cash after operations divided by current debt obligations and is
essentially the ratio of the company's cash flow from operating
activities (referred to as cash income) to the sum of its cash interest
obligations and current portion of its long-term debt and capital
leases.
Last but not least, whenever examining the topic of a
company's ability to meet financial obligations, discussions often
flow toward the topic of bankruptcy, which may be seen as the ultimate
in inability to meet such obligations. Measuring the risk of bankruptcy
has its own variety of approaches, which tend to be broader in scope but
not any less confusing that the topic of coverage ratios.
Led by relatively simple models proposed by Beaver (1966), Altman
(1968), and Ohlson (1980) and later developed into significantly more
complex offerings such as by Hillegeist, Keating, Cram, & Lundstedt
(2004) and others, researchers have for many years looked for the holy
grail of accounting ratios that could be most useful in predicting
bankruptcy. The best known of these models is the Altman Z-score. Using
multiple discriminant analysis on a variety of financial ratios, the
final model is a simple weighted average of five accounting ratios
(working capital, retained earnings, earnings before interest and taxes,
and sales, each in relation to total assets plus the ratio of market
value of equity to book value of liabilities). The result is compared
with arbitrary cutoff points indicating either a high or low probability
of bankruptcy.
Altman's model remains the standard against which all others
are compared and tends to be the one most embraced by practitioners
(IOMA, 2003), even though it is some 40 years old and has faced a
constant barrage of criticism. Altman (Altman, Haldeman & Narayanan,
1977) and Beaver (Beaver, McNichols & Rhie, 2005) themselves have
looked to improve upon the more basic models proposed earlier in their
careers (one important extension has been in dealing with the problems
associated with operating leases). Yet despite the continued work in
this area, simplicity may be the key. In a recent working paper
examining the history of bankruptcy prediction models, Bellovary,
Giacomino, & Akers (2006) conclude that given the already high
predictive ability of even the simplest models (they cite Beaver's
92 percent accuracy with one ratio to a more recent model that considers
57 factors yet yields only an 86 percent accuracy rate!), efforts should
be shifted from developing new and improved models to refining the
existing ones and making them more understandable and useful for
practitioners. Thus, more may be less as too many ratios or ratios with
too much complexity can actually make a model less useful.
Against this broad and often conflicting set of approaches to
assessing credit risk of borrowers, we focus on an empirical examination
of the key tools proposed. Realizing that financial ratio calculations
are complicated by the complexity of accounting and reporting standards
and the differing needs of users of financial statements, we focus on
two items.
First and foremost we examine whether the level of complexity
really matters. That is, is there any additional information contained
in the more-broadly defined ratios and more complex models that would
lead one to prefer one over the others or should simplicity be the
overriding concern? For example, there is the divergence in the fixed
charge coverage ratio's handling of lease expenses. Many models
include these charges, some do not. And for those that do incorporate
the expenses, there are those who incorporate the entire amount of lease
payments as a charge and those who only use the implied financing
component of the leases. And for those incorporating only the financing
component of the leases, there is the split between those who favor a
practical approach of using the "rule of thumb" estimate
(one-third of the total lease expense) and those who favor a more
mathematically-sound present value approach.
And second, we examine how well the varied approaches correlate
with the more grandiose concept of assessing overall default or credit
risk. For example, how do the various measures relate to a
company's given risk rating and how well do they correlate with
broader bankruptcy metrics (e.g., Altman's Z-score) that tend to
examine a wider array of factors than simply short-term liquidity? The
results of these inquiries may lead us to make better judgments about
how to approach this matter, both in the classroom and in applying it in
"real-world" situations.
DATA AND METHODOLOGY
Data for this study was gathered from Compustat (Research Insight).
We focus primarily on one set of companies, namely large companies
(defined as those with revenues in excess of $1 billion in their most
recent reporting year) that do not primarily operate in the financial
services area. To be included in the study, the company also had to have
financial data for each variable examined plus a credit rating assigned
to them by Standard and Poor's for each of the past five years (for
most companies this includes data from 2001 through 2005, but for others
with non-December year-ends, the time period may extend in to 2006).
Given the strict criteria employed, only 259 companies remained in the
primary sample group. A broader set of companies, in which the final
requirement of having five consecutive years of data for all variables
examined is relaxed, provided us with a much larger group of 1,320
companies. Extending our analysis to this more broadly-defined group of
companies allows us to make broader generalizations of the results of
the study.
Given the wide range of approaches to this topic, a virtually
endless array of potential variables could be examined. However, for the
purposes of this study, the following ones were selected:
(1) the credit rating (SPDRC) assigned by Standard &
Poor's as its opinion of an issuer's overall creditworthiness
at each time period. Each letter rating has an associated numerical
rating within Compustat (i.e., AAA = 2, A = 8, BBB- = 12, etc.).
Although Standard & Poor's is by no means the only agency
capable of providing credit ratings, the availability of their ratings
within the Compustat database facilitated their use in the study;
(2) the Z-score (ZSCORE) calculated by Compustat for each period
(the sum of 1.2 times the working capital divided by total assets, 1.4
times the retained earnings divided by total assets, 3.3 times the
earnings before interest and taxes divided by total assets, 0.6 times
the difference between the market value of equity [year-end stock price
times common shares outstanding plus the par value of any preferred
stock] and the book value of the liabilities, and 0.999 times sales
divided by total assets) for each period;
(3) the interest coverage ratio (IntCov) calculated by Compustat
(total of operating and non-operating income before taxes and minority
interest plus interest expense, all divided by interest expense) for
each period;
(4) the EBITDA coverage ratio (EBITCov) calculated by Compustat
(operating income before depreciation and amortization expenses divided
by interest expense) for each period;
(5) the debt service coverage ratio (DbtServ) as calculated by
Compustat (net cash flow from operations less cash dividends and capital
expenditures plus interest expense, all divided by the sum of interest
expense and current portion of long-term debt due; and
(6) three separate fixed charge coverage ratios. The first one
(FxdChg) is defined as total pretax income plus interest expense and
lease expenses, all divided by the sum of interest and lease expenses.
The second (FxdFin) uses only the financing cost (estimated as one-third
of the total lease expense) rather than the total lease expenses; and
the third (FxdLeas) uses the present value approach to estimating the
financing cost of the lease expense. This is measured as the sum of the
most recent year's lease payment plus the discounted values for
each of the successive five years of obligations, all multiplied by the
company's effective interest rate as estimated by dividing the
company's interest expense for the year by its total amount of debt
for the year.
The focal point of the study is the relationship among the various
measures as tools used to analyze creditworthiness and liquidity.
Initially, Pearson and Kendall-tau correlations were reviewed to look at
the relative strength of association between alternative liquidity
measures and the perceived creditworthiness of the company as estimated
by Standard & Poor's credit ratings. Despite the large sample
sizes, both parametric and non-parametric methods were used due to
considerable concerns about the homogeneity of the variances within the
data. Kendall-tau was chosen over the more often used
Spearman-rank-correlation test because its correlations reflect the
strength of the relationships between the variables and it copes with
ties much better than the Spearman method. It is also superior as a test
of independence because it is sensitive to some types of dependence
which can not be detected using the Spearman method. A straightforward
discussion on the preference for Kendall-tau can be found in Noether
(2007).
These relationships among the variables were examined first for the
narrow sample group and then extended to the more broadly-defined
sample. In addition, an analysis was made on the relationships among the
variables. Since many of them are based on similar criteria, it can be
assumed that they are likely closely related to one another. However, it
is the extent of that relationship that is of interest. If a particular
conclusion or relationship can be found by using a more concise tool,
the argument can be made to favor further refinements to the more
efficient method to make it a more effective tool rather than trying to
develop a better tool.
RESULTS
For the initial tests, a total of 259 companies met all of the
criteria for inclusion in the sample. That is, there was sufficient data
available such as size of company (over $1 billion in sales in the most
recent annual period), five years of credit rating data, and five years
of financial ratio data, to be included in the study. On the other hand,
relaxing all but the size criterion increased the sample size to 1,320
companies, a larger sample in which greater generalizations about the
results might be made when appropriate. Relaxing all of the criteria
(except for the requirement of being a non-financial company) resulted
in a sample of 5,802 companies. However, due to missing data, the
"available" sample size would have been much smaller and given
the large number of extreme and nonsensical data outliers, this larger
sample was of very limited value and was therefore not examined further.
The two samples proved to be quite similar in terms of the breadth
of credit ratings within each sample. The smaller sample of 259
companies was spread out among the 16 highest ratings, from AAA through
B-, with 4.2 percent of the companies landing in the first group of four
ratings, 30.7 percent in the next group, 45.7 percent in the third
group, and 19.3 percent in the final group. The broader sample had 3.3
percent of the companies with one of the top four ratings, 20.1 percent
in the second group of four, 43.7 percent in the third group, and 23.8
percent in the fourth. (An additional 1.6 percent had rankings lower
than B-.)
Examining the relationships themselves, it is probably not too
surprising to find that each of the key variables, from the Z-score to
the myriad of coverage and debt service measures, proved to be
significantly correlated (generally beyond the 99th percentile in
significance) with the company's credit rating for each of the past
five years. (See Table 1 below). In addition, we note that the levels of
correlation with the credit rating also remained fairly consistent over
the five years. Only the Kendall-Tau statistics are produced due to the
concerns over normality of the data, although the Pearson correlations
had many of the same results with the exception of some extremely
unusual results attributed to the non-normal distributions.
Also seen in the table, the three fixed charge coverage ratios
typically had much higher levels of correlation with the credit ratings
than the other ratios, much more so than even the more encompassing
Z-score. On the other hand, the debt-service ratio is significantly less
likely to be related to a company's current credit rating.
If we examine the more broadly defined sample (see Table 2 below),
we find similar results across the board although there are some major
differences in the levels of correlation between the various variables.
For example, the correlation coefficients are generally lower in each
case, with the biggest drop-off in the Z-score correlation itself.
In addition, the debt service ratio, already significantly lower
than the others within the narrow sample, essentially becomes a
non-factor with the broader sample. Another noteworthy observation is
that it appears that the more complex fixed charge ratio (the one
explicitly dependent on the valuation of operating leases as
debt-equivalents) is slightly better at evaluating credit ratings than
the simpler one-third approach.
Having found generally high levels of correlation among the
variables, we next briefly examine the relationships among the
variables. As they tend to measure very similar items, it is not
surprising to find very close relationships among them. Although the
tables are not reproduced here, the relationships tended to be in the
0.50 to 0.70 range among the majority of the variables, with a couple of
notable exceptions. First, the debt service ratio has very low
correlations with the other variables, at approximately 0.20 across the
board. This is not totally unexpected given its lower level of
relationship with the credit rating to begin with. On the other hand,
the two competing fixed charge coverage ratios (one-third versus present
value rules) are very closely related, with a relationship that has
become more significant over time. Based on the earliest data, the
correlation was 0.76 between the two measures for the smaller sample
group with this figure steadily rising to 0.92 in the most recent
period. The broader sample had similar results: a coefficient of 0.73
initially, rising to 0.91 in the most recent period.
Making sense of this close relationship can come from different
directions. From the practitioner's viewpoint, there appears to be
little to gain from adding complexity in evaluating the financing
charges associated with operating leases beyond using the basic
one-third rule favored in industry. From an academic viewpoint, we are
left to ponder why this association has become consistently stronger
over the past few years. For example, interest rates generally increased
between 2001 and 2005. Whether this positively (or negatively) impacted
the use of operating leases or simply effected the present value
calculations is left for a future study.
CONCLUSIONS AND DISCUSSION OF FUTURE RESEARCH
Although much more can certainly be examined regarding the various
measures of assessing credit and liquidity risk, this first small step
has provided some insights. For example, despite the overwhelming number
of formulations, it appears that most of the key ratios seem to follow
very similar tracks. Thus, rather than confusing potential users of
financial information with so many variations, solidifying or refining
the more straightforward approaches to evaluating credit may be called
for. Notwithstanding any specific requirements associated with unusual
or extraordinary credit situations, it would appear that focusing on a
simpler set of ratios would allow for better focus (and hence better
analysis) of the information contained in the ratios and underlying
reasons for any deviations or any volatility in the said numbers.
There is much additional research waiting to be pursued in this
area. For example, all of the data used, including the credit ratings,
were from a single source, Standard and Poor's. If S&P largely
uses its own data and formulations to make credit rating decisions, then
there may be an undue amount of overlapping results. Evaluating other
sources of credit ratings (e.g., Moody's or specific private
lenders' evaluations), could provide different insights.
This analysis is rather static. A key reason for analyzing
liquidity and credit risks is to look forward and predict where problems
may arise. For example, can shifts in credit ratings be predicted or
forecasted based on projecting specific financial variables into the
future; that is, are there specific financial ratios that can be used as
leading or lagging variables in determining trends in credit ratings?
Furthermore, one major criticism of many of the earlier bankruptcy
studies was that their so-called results were specific to the time frame
and/or types of companies evaluated. Extending this analysis to examine
differences in results based on NAICS (North American Industry
Classification System) codes or other industry designations or expanding
it to cover other time periods could make the results stronger.
Our results are but a start in a process that needs to meet the
challenge of overcoming the lack of connection between academic
researchers, striving to build better mousetraps, and practitioners,
looking for efficient mousetraps to improve their successes (and
minimize their failures) in assessing credit risk. If academics can do a
proper job of exposing users of financial information (managers,
lenders, analysts, investors, etc) to the proper tools to conduct their
analysis, then further studies in this area may prove to be quite
useful.
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Table 1: Kendall Tau b Correlation Coefficients
Correlation with Credit Rating (Primary Sample of 259 Companies)
Year 0 Year -1 Year -2 Year -3 Year -4
Zscore 0.2736 0.3030 0.3078 0.2947 0.2728
IntCov 0.5075 0.4823 0.4902 0.4433 0.4398
EBITCov 0.4972 0.4790 0.4134 0.3870 0.3669
FxdChg 0.5362 0.5084 0.5333 0.4832 0.4469
FxdFin 0.5507 0.5183 0.5299 0.4837 0.4520
FxdLeas 0.5485 0.5303 0.5519 0.5111 0.4891
DbtServ * 0.1018 0.1506 0.1557 * 0.1023 * 0.1065
Note: All correlations significant beyond 99% with the exception of
those cells marked * which are significant beyond 95%.
Table 2: Kendall Tau b Correlation Coefficients
Correlation with Credit Rating (Broader Sample of 1,320 Companies)
Year 0 Year -1 Year -2 Year -3 Year -4
Zscore 0.1771 0.1949 0.2117 0.2234 0.2045
IntCov 0.3919 0.4004 0.4156 0.3939 0.3866
EBITCov 0.3983 0.3790 0.3646 0.3396 0.2976
FxdChg 0.4511 0.4610 0.4682 0.4531 0.3985
FxdFin 0.4422 0.4520 0.4562 0.4439 0.4021
FxdLeas 0.5215 0.5247 0.5038 0.4718 0.4282
DbtServ * 0.0481 0.0782 0.0851 ** 0.0424 ** 0.0297
Note: All correlations significant beyond 99% with the exception of
those cells marked * which are significant beyond 95%,
** significance below 95%.