Bond rating agencies base their quality ratings largely on an analysis of the level and trend
of some of the issuer’s financial ratios. The key ratios used to evaluate safety are
ments and sinking fund payments with interest obligations to arrive at the ratio of
earnings to all fixed cash obligations (sinking funds are described below). Low or
indebtedness, signaling the possibility the firm will be unable to earn enough to
inventories/current liabilities). These ratios measure the firm’s ability to pay bills
income/equity) are the most popular of these measures. Firms with higher returns
C H A P T E R
1 4
Bond Prices and Yields
471
Standard & Poor’s periodically computes median values of selected ratios for firms in
several rating classes, which we present in Table 14.3 . Of course, ratios must be evalu-
ated in the context of industry standards, and analysts differ in the weights they place on
particular ratios. Nevertheless, Table 14.3 demonstrates the tendency of ratios to improve
along with the firm’s rating class. And default rates vary dramatically with bond rating.
Historically, only about 1% of industrial bonds originally rated AA or better at issuance
had defaulted after 15 years. That ratio is around 7.5% for BBB-rated bonds, and 40% for
B-rated bonds. Credit risk clearly varies dramatically across rating classes.
Many studies have tested whether financial ratios can in fact be used to predict default
risk. One of the best-known series of tests was conducted by Edward Altman, who used
discriminant analysis to predict bankruptcy. With this technique a firm is assigned a score
based on its financial characteristics. If its score exceeds a cut-off value, the firm is deemed
creditworthy. A score below the cut-off value indicates significant bankruptcy risk in the
near future.
To illustrate the technique, suppose that we were to collect data on the return on
equity (ROE) and coverage ratios of a sample of firms, and then keep records of any
corporate bankruptcies. In Figure 14.9 we plot the
ROE and coverage ratios for each firm, using X
for firms that eventually went bankrupt and O for
those that remained solvent. Clearly, the X and O
firms show different patterns of data, with the sol-
vent firms typically showing higher values for the
two ratios.
The discriminant analysis determines the equa-
tion of the line that best separates the
X and O
observations. Suppose that the equation of the line
is .75 5 .9 3 ROE 1 .4 3 Coverage. Then, based
on its own financial ratios, each firm is assigned
a “ Z -score” equal to .9 3 ROE 1 .4 3 Coverage.
If its Z -score exceeds .75, the firm plots above the
line and is considered a safe bet; Z -scores below
.75 foretell financial difficulty.
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