Fujita, Incorporated, has no debt outstanding and a total market value of $408,900. Earnings before Interest and taxes, EBIT, are projected to be $54,000 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 13 percent higher. If there is a recession, then EBIT will be 21 percent lower. The company is considering a $200,000 debt issue with an interest rate of 5 percent. The proceeds will be used to repurchase shares of stock. There are currently 8,700 shares outstanding. Ignore taxes for questions (a) and (b). Assume the company has a market-to-book ratio of 1.0 and the stock price remains constant.

Essentials Of Investments
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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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Problem 16-3 ROE and Leverage [LO1, 2]
Fujita, Incorporated, has no debt outstanding and a total market value of $408,900.
Earnings before Interest and taxes, EBIT, are projected to be $54,000 if economic
conditions are normal. If there is strong expansion in the economy, then EBIT will be 13
percent higher. If there is a recession, then EBIT will be 21 percent lower. The company is
considering a $200,000 debt Issue with an interest rate of 5 percent. The proceeds will
be used to repurchase shares of stock. There are currently 8,700 shares outstanding.
Ignore taxes for questions (a) and (b). Assume the company has a market-to-book ratio of
1.0 and the stock price remains constant.
a-1. Calculate return on equity (ROE) under each of the three economic scenarios before
any debt is issued. (Do not round Intermediate calculations and enter your
answers as a percent rounded to 2 decimal places, e.g.. 32.16.)
a-2. Calculate the percentage changes in ROE when the economy expands or enters a
recession. (A negative answer should be indicated by a minus sign. Do not round
Intermediate calculations and enter your answers as a percent rounded to 2
decimal places, e.g.. 32.16.)
b-1. Assume the firm goes through with the proposed recapitalization. Calculate the
return on equity (ROE) under each of the three economic scenarios. (Do not round
Intermediate calculations and enter your answers as a percent rounded to 2
decimal places, e.g., 32.16.)
b-2. Assume the firm goes through with the proposed recapitalization. Calculate the
percentage changes in ROE when the economy expands or enters a recession. (A
negative answer should be indicated by a minus sign. Do not round Intermediate
calculations and enter your answers as a percent rounded to 2 decimal places,
e.g., 32.16.)
a-1. Recession ROE
a-1. Normal ROE
a-1.
Expansion ROE
a-2. Recession percentage change in ROE
a-2. Expansion percentage change in ROE
b-1. Recession ROE
b-1. Normal ROE
b-1. Expansion ROE
b-2. Recession percentage change in ROE
b-2. Expansion percentage change in ROE
21.00%
21.00%
5.47 %
%
%
Assume the firm has a tax rate of 22 percent.
c-1. Calculate return on equity (ROE) under each of the three economic scenarios before
any debt is Issued. (Do not round intermediate calculations and enter your
answers as a percent rounded to 2 decimal places, e.g.. 32.16.)
c-2. Calculate the percentage changes in ROE when the economy expands or enters a
recession. (A negative answer should be indicated by a minus sign. Do not round
Intermediate calculations and enter your answers as a percent rounded to 2
decimal places, e.g., 32.16.)
c-3. Calculate the return on equity (ROE) under each of the three economic scenarios
assuming the firm goes through with the recapitalization. (Do not round
Intermediate calculations and enter your answers as a percent rounded to
decimal places, e.g., 32.16.)
c-4. Given the recapitalization, calculate the percentage changes in ROE when the
economy expands or enters a recession. (A negative answer should be indicated
by a minus sign. Do not round Intermediate calculations and enter your answers
as a percent rounded to 2 decimal places, e.g.. 32.16.)
Transcribed Image Text:Problem 16-3 ROE and Leverage [LO1, 2] Fujita, Incorporated, has no debt outstanding and a total market value of $408,900. Earnings before Interest and taxes, EBIT, are projected to be $54,000 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 13 percent higher. If there is a recession, then EBIT will be 21 percent lower. The company is considering a $200,000 debt Issue with an interest rate of 5 percent. The proceeds will be used to repurchase shares of stock. There are currently 8,700 shares outstanding. Ignore taxes for questions (a) and (b). Assume the company has a market-to-book ratio of 1.0 and the stock price remains constant. a-1. Calculate return on equity (ROE) under each of the three economic scenarios before any debt is issued. (Do not round Intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g.. 32.16.) a-2. Calculate the percentage changes in ROE when the economy expands or enters a recession. (A negative answer should be indicated by a minus sign. Do not round Intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g.. 32.16.) b-1. Assume the firm goes through with the proposed recapitalization. Calculate the return on equity (ROE) under each of the three economic scenarios. (Do not round Intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b-2. Assume the firm goes through with the proposed recapitalization. Calculate the percentage changes in ROE when the economy expands or enters a recession. (A negative answer should be indicated by a minus sign. Do not round Intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a-1. Recession ROE a-1. Normal ROE a-1. Expansion ROE a-2. Recession percentage change in ROE a-2. Expansion percentage change in ROE b-1. Recession ROE b-1. Normal ROE b-1. Expansion ROE b-2. Recession percentage change in ROE b-2. Expansion percentage change in ROE 21.00% 21.00% 5.47 % % % Assume the firm has a tax rate of 22 percent. c-1. Calculate return on equity (ROE) under each of the three economic scenarios before any debt is Issued. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g.. 32.16.) c-2. Calculate the percentage changes in ROE when the economy expands or enters a recession. (A negative answer should be indicated by a minus sign. Do not round Intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c-3. Calculate the return on equity (ROE) under each of the three economic scenarios assuming the firm goes through with the recapitalization. (Do not round Intermediate calculations and enter your answers as a percent rounded to decimal places, e.g., 32.16.) c-4. Given the recapitalization, calculate the percentage changes in ROE when the economy expands or enters a recession. (A negative answer should be indicated by a minus sign. Do not round Intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g.. 32.16.)
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