RAK, Inc., has no debt outstanding and a total market value of $150,000. Earning
ID: 2782342 • Letter: R
Question
RAK, Inc., has no debt outstanding and a total market value of $150,000. Earnings before interest and taxes, EBIT, are projected to be $28,000 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 20 percent higher. If there is a recession, then EBIT will be 25 percent lower. RAK is considering a $60,000 debt issue with an interest rate of 7 percent. The proceeds will be used to repurchase shares of stock. There are currently 10,000 shares outstanding. Ignore taxes for questions a and b. Assume the company has a market-to-book ratio of 1.0. a-1 Calculate return on equity (ROE) under each of the three economic scenarios before any debt is issued. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) ROE Recession % Normal % Expansion % a-2 Calculate the percentage changes in ROE when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) % change in ROE Recession % Expansion % Assume the firm goes through with the proposed recapitalization. b-1 Calculate the return on equity (ROE) under each of the three economic scenarios. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) ROE Recession % Normal % Expansion % b-2 Calculate the percentage changes in ROE when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) % change in ROE Recession % Expansion % Assume the firm has a tax rate of 35 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. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) ROE Recession % Normal % Expansion % c-2 Calculate the percentage changes in ROE when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) % change in ROE Recession % Expansion % 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. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) ROE Recession % Normal % Expansion % c-4 Given the recapitalization, calculate the percentage changes in ROE when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. (e.g., 32.16)) % change in ROE Recession % Expansion %
Explanation / Answer
ROE = Profits / Equity
Initially, EBIT = Profits and Equity = 150,000
With debt issue, Profits = EBIT - Interest and Equity = 150,000 - 60,000 = 90,000
where Interest = 60,000 x 7% = 4,200
RAK Recession Normal Expansion EBIT 21000 28000 33600 ROE 14.00% 18.67% 22.40% % Change -25.00% 20.00% With Debt EBIT 21000 28000 33600 Interest 4200 4200 4200 Profits 16800 23800 29400 ROE 18.67% 26.44% 32.67% % Change -29.41% 23.53%Related Questions
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