In: Finance
Problem 15-6 Costs of Financial Distress
Steinberg Corporation
and Dietrich Corporation are identical firms except that Dietrich
is more levered. Both companies will remain in business for one
more year. The companies' economists agree that the probability of
the continuation of the current expansion is 70 percent for the
next year, and the probability of a recession is 30 percent. If the
expansion continues, each firm will generate earnings before
interest and taxes (EBIT) of $4.0 million. If a recession occurs,
each firm will generate earnings before interest and taxes (EBIT)
of $1.4 million. Steinberg's debt obligation requires the firm to
pay $940,000 at the end of the year. Dietrich's debt obligation
requires the firm to pay $1.5 million at the end of the year.
Neither firm pays taxes. Assume a discount rate of 15
percent.
a-1. What are the current market values of
Steinberg's equity and debt? (Enter your answers in
dollars, not millions of dollars. Do not round intermediate
calculations and round your answers to the nearest whole dollar,
e.g., 1,234,567.)
Steinberg | |
Equity value | $ |
Debt value | $ |
a-2. What are the current market values of
Dietrich's equity and debt? (Enter your answers in
dollars, not millions of dollars. Do not round intermediate
calculations and round your answers to the nearest whole dollar,
e.g., 1,234,567.)
Dietrich | |
Equity value | $ |
Debt value | $ |
b. Steinberg’s CEO recently stated that
Steinberg’s value should be higher than Dietrich’s since the firm
has less debt, and, therefore, less bankruptcy risk. Do you agree
or disagree with this statement?
Agree
Disagree
(a-1);
Steinberg |
|
Equity value |
$1982609 |
Debt value |
$817391 |
Explanation;
Expansion (70%) |
Recession (30%) |
|
EBIT |
$4000000 |
$1400000 |
Payoff to debtholders |
$940000 |
$940000 |
Payoff to stockholders |
$3060000 |
$460000 |
Equity value will be calculated as follow;
($3060000 * 0.7 + $460000 * 0.3) / 1.15
= $2142000 + $138000 / 1.15
= $1982608.69 or $1982609 (Approx.)
Debt value will be calculated as follow;
($940000 * 0.7 + $940000 * 0.3) / 1.15
= $658000 + $282000 / 1.15
= $817391.30 or $817391 (Approx.)
(a-2);
Dietrich |
|
Equity value |
$1521739 |
Debt value |
$1278261 |
Explanation;
Expansion (70%) |
Recession (30%) |
|
EBIT |
$4000000 |
$1400000 |
Payoff to debtholders |
$1500000 |
$1400000 |
Payoff to stockholders |
$2500000 |
$0 |
Equity value will be calculated as follow;
($2500000 * 0.7 + $0 * 0.3) / 1.15
= $1750000 + $0 / 1.15
= $1521739.13 or $1521739 (Approx.)
Debt value will be calculated as follow;
($1500000 * 0.7 + $1400000 * 0.3) / 1.15
= $1050000 + $420000 / 1.15
= $1278260.87 or $1278261 (Approx.)
(b). Disagree
Explanation;
Value of Steinberg ($1982609 + $817391) = $2800000
Value of Dietrich ($1521739 + $1278261) = $2800000
Thus, it is clear that Steinberg’s value is not higher than Dietrich’s value. So statement of CEO is not correct.