Assume that Firm A is an all-equity firm with total assets of $5,000 and the following distribution of EBIT for the coming year: Firm A Unlevered Probability EBIT Interest EBT Taxes (40%) Net Income BEP ROA ROE Bad 30.00% $500.00 $0.00 $500.00 -$200.00 $300.00 10.00% 6.00% 6.00% Economy Average 50.00% $700.00 $0.00 $700.00 -$2800.00 $420.00 14.00% 8.40% 8.40% Good 20.00% $900.00 $0.00 $900.00 -$360 00 $540.00 18.00% 10.80% 10 80% Now assume that the firm plans to issue $2,000 of debt, at an interest rate of 6.4 percent, and use i the proceeds to repurchase equity (you may ignore potential impacts on price and assume that the firm will then have $3,000 of equity). Given this information, determine the standard deviation of the new ROE distribution.

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
Section: Chapter Questions
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Assume that Firm A is an all-equity firm with total assets of $5,000 and the following distribution of
EBIT for the coming year:
Firm A
Unlevered
Probability
EBIT
Interest
EBT
Taxes (40%)
Net Income
BEP
ROA
ROE
Bad
O 3.487%
O 2.653 %
O 3.098%
O 3.774%
O 2.800%
30.00%
$500.00
$0.00
$500.00
-$200.00
$300.00
10.00%
6.00%
6.00%
Economy
Average
50,00%
$700.00
$0.00
$700.00
-$280.00
$420.00
14.00%
8.40%
8,40%
Good
20.00%
$900.00
$0.00
$900.00
-$360.00
$540.00
18.00%
10.80%
10.80%
Now assume that the firm plans to issue $2,000 of debt, at an interest rate of 6.4 percent, and use
the proceeds to repurchase equity (you may ignore potential impacts on price and assume that the
firm will then have $3,000 of equity). Given this information, determine the standard deviation of
the new ROE distribution.
Transcribed Image Text:Assume that Firm A is an all-equity firm with total assets of $5,000 and the following distribution of EBIT for the coming year: Firm A Unlevered Probability EBIT Interest EBT Taxes (40%) Net Income BEP ROA ROE Bad O 3.487% O 2.653 % O 3.098% O 3.774% O 2.800% 30.00% $500.00 $0.00 $500.00 -$200.00 $300.00 10.00% 6.00% 6.00% Economy Average 50,00% $700.00 $0.00 $700.00 -$280.00 $420.00 14.00% 8.40% 8,40% Good 20.00% $900.00 $0.00 $900.00 -$360.00 $540.00 18.00% 10.80% 10.80% Now assume that the firm plans to issue $2,000 of debt, at an interest rate of 6.4 percent, and use the proceeds to repurchase equity (you may ignore potential impacts on price and assume that the firm will then have $3,000 of equity). Given this information, determine the standard deviation of the new ROE distribution.
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