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RAK, Inc., has no debt outstanding and a total market value of $240,000. Earnings before interest and taxes, EBIT, are projected to be $28,000 if

RAK, Inc., has no debt outstanding and a total market value of $240,000. 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 10 percent higher. If there is a recession, then EBIT will be 25 percent lower. RAK is considering a $48,000 debt issue with an interest rate of 4 percent. The proceeds will be used to repurchase shares of stock. There are currently 20,000 shares outstanding. Ignore taxes for questions a and b. Assume the company has a market-to-book ratio of 1.0.

Assume the firm goes through with the proposed recapitalization.
b-1

Calculate the return on equity (ROE) under each of the three economic scenarios.

ROE
Recession %
Normal %
Expansion %

c-3

Calculate the return on equity (ROE) under each of the three economic scenarios assuming the firm goes through with the recapitalization.

ROE
Recession %
Normal %
Expansion %

c-4

Given the recapitalization, calculate the percentage changes in ROE when the economy expands or enters a recession.

% change in ROE
Recession %
Expansion %

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