Kaelea, Inc., has no debt outstanding and a total market value of $117,000. Earn
ID: 2722218 • Letter: K
Question
Kaelea, Inc., has no debt outstanding and a total market value of $117,000. Earnings before interest and taxes, EBIT, are projected to be $8,300 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 23 percent higher. If there is a recession, then EBIT will be 32 percent lower. Kaelea is considering a $41,700 debt issue with an interest rate of 5 percent. The proceeds will be used to repurchase shares of stock. There are currently 3,900 shares outstanding. Assume Kaelea has a market-to-book ratio of 1.0.
Requirement 1:
(a) Calculate return on equity, ROE, under each of the three economic scenarios before any debt is issued, assuming no taxes. (Do not round intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).) ROE Recession % Normal % Expansion %
(b) Calculate the percentage changes in ROE when the economy expands or enters a recession, assuming no taxes. (Do not round intermediate calculations. Negative amounts should be indicated by a minus sign.) %ROE Recession % Expansion %
Requirement 2: Assume the firm goes through with the proposed recapitalization and no taxes.
(a) Calculate return on equity, ROE, under each of the three economic scenarios after the recapitalization. (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).) ROE Recession % Normal % Expansion %
(b) Calculate the percentage changes in ROE for economic expansion and recession. (Do not round intermediate calculations. Negative amounts should be indicated by a minus sign. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).) %ROE Recession % Expansion % Requirement 3: Assume the firm has a tax rate of 40 percent. (a) Calculate return on equity, ROE, under each of the three economic scenarios before any debt is issued. Also, calculate the percentage changes in ROE for economic expansion and recession. (Do not round intermediate calculations. Negative amounts should be indicated by a minus sign. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).) ROE Recession % Normal % Expansion % %ROE Recession % Expansion % (b) Calculate return on equity, ROE, under each of the three economic scenarios after the recapitalization. Also, calculate the percentage changes in ROE for economic expansion and recession, assuming the firm goes through with the proposed recapitalization. (Do not round intermediate calculations Negative amounts should be indicated by a minus sign. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).) ROE Recession % Normal % Expansion % %ROE Recession % Expansion %
Explanation / Answer
Kaelea Inc. 1 Current Situation Normal Expansion Recession a Equity value 117,000 117,000 117,000 Debt (5% interest rate ) - - - EBIT 8,300 10,209 5,644 Less Interest Income before Tax Less Tax Net Income for Equity holders 8,300 10,209 5,644 Return on Equity (ROE) 7.09% 8.73% 4.82% b Details Normal Expansion Recession % Change in ROE= 23.00% -32.00% 2 a After recapitalization : Revised situation Normal Expansion Recession Equity value 75,300 75,300 75,300 Debt (5% interest rate ) 41,700 41,700 41,700 EBIT 8,300 10,209 5,644 Less Interest 2,085 2,085 2,085 Income before Tax 6,215 8,124 3,559 Less Tax - - - Net Income for Equity holders 6,215 8,124 3,559 Return on Equity (ROE) 8.25% 10.79% 4.73% b Details Normal Expansion Recession % Change in ROE= 30.72% -42.74% 3 a With tax before recpaitalization Normal Expansion Recession Equity value 117,000 117,000 117,000 Debt (6% interest rate ) - - - EBIT 8,300 10,209 5,644 Less Interest Income before Tax Less Tax@40% 3,320 4,084 2,258 Net Income for Equity holders 4,980 6,125 3,386 Return on Equity (ROE) 4.26% 5.24% 2.89% b Details Normal Expansion Recession % Change in ROE= 23.00% -32.00% 4 a After recapitalization with TAx : Revised situation Normal Expansion Recession Equity value 75,300 75,300 75,300 Debt (6% interest rate ) 41,700 41,700 41,700 EBIT 8,300 10,209 5,644 Less Interest 2,085 2,085 2,085 Income before Tax 6,215 8,124 3,559 Less Tax@40% 2,486 3,250 1,424 Net Income for Equity holders 3,729 4,874 2,135 Return on Equity (ROE) 4.95% 6.47% 2.84% b Details Normal Expansion Recession % Change in ROE= 30.72% -42.74%
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