Assume that Firm A is an all-equity firm with total assets of $1,000 and the following distribution of EBIT for the coming year: Probability EBIT Interest EBT Taxes (40%) Net Income BEP ROA ROE 1.99% Ⓒ 2.79% Firm A (Unlevered) O 3.49% O 2.32% 2.83% Bad 30% $120 SO $120 -$48 $72 12.0% 7.2% 7.2% Economy Average 40% $150 $0 $150 -$60 $90 As you can calculate, the standard deviation of the ROE distribution is 1.39 percent. Now assume that the firm plans to issue $300 of debt, at an interest rate of 10 percent, and use the proceeds to repurchase equity (you may ignore potential impacts on price and assume that the firm will then have $700 of equity). Determine the standard deviation of the new ROE distribution if the firm does issue this debt. Good 30% $180 SO $180 -$72 $108 15.0% 18.0% 9.0% 10.8% 9.0% 10.8%

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Assume that Firm A is an all-equity firm with total assets of $1,000 and the following distribution of
EBIT for the coming year:
Probability
EBIT
Interest
EBT
Taxes (40%)
Net Income
BEP
ROA
ROE
1.99%
2.79%
3.49%
Firm A
(Unlevered)
2.32%
2.83%
Bad
30%
$120
SO
$120
$48
$72
12.0%
7.2%
Economy
Average
Now assume
As you can calculate, the standard deviation of the ROE distribution is 1.39 percen
that the firm plans to issue $300 of debt, at an interest rate of 10 percent, and use the proceeds to
repurchase equity (you may ignore potential impacts on price and assume that the firm will then
have $700 of equity). Determine the standard deviation of the new ROE distribution if the firm
does issue this debt.
40%
$150
$0
$150
-$60
$90
Good
30%
$180
SO
$180
-$72
$108
15.0%
18.0%
9.0%
10.8%
9.0% 10.8%
Transcribed Image Text:Assume that Firm A is an all-equity firm with total assets of $1,000 and the following distribution of EBIT for the coming year: Probability EBIT Interest EBT Taxes (40%) Net Income BEP ROA ROE 1.99% 2.79% 3.49% Firm A (Unlevered) 2.32% 2.83% Bad 30% $120 SO $120 $48 $72 12.0% 7.2% Economy Average Now assume As you can calculate, the standard deviation of the ROE distribution is 1.39 percen that the firm plans to issue $300 of debt, at an interest rate of 10 percent, and use the proceeds to repurchase equity (you may ignore potential impacts on price and assume that the firm will then have $700 of equity). Determine the standard deviation of the new ROE distribution if the firm does issue this debt. 40% $150 $0 $150 -$60 $90 Good 30% $180 SO $180 -$72 $108 15.0% 18.0% 9.0% 10.8% 9.0% 10.8%
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