Kaelea, Inc., has no debt outstanding and a total market value of $100,000. Earn
ID: 2784170 • Letter: K
Question
Kaelea, Inc., has no debt outstanding and a total market value of $100,000. Earnings before interest and taxes, EBIT, are projected to be $8,400 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 24 percent higher. If there is a recession, then EBIT will be 31 percent lower. Kaelea is considering a $35,000 debt issue with an interest rate of 6 percent. The proceeds will be used to repurchase shares of stock. There are currently 4,000 shares outstanding. Assume Kaelea has a tax rate of 35 percent.
Calculate earnings per share, EPS, under each of the three economic scenarios before any debt is issued. (Do not round intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).)
Calculate the percentage changes in EPS when the economy expands or enters a recession. (Do not round intermediate calculations. Negative amounts should be indicated by a minus sign.)
Calculate earnings per share, EPS, under each of the three economic scenarios after the recapitalization. (Do not round intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).)
Calculate the percentage changes in EPS when the economy expands or enters a recession. (Do not round intermediate calculations. Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places (e.g., 32.16).)
Kaelea, Inc., has no debt outstanding and a total market value of $100,000. Earnings before interest and taxes, EBIT, are projected to be $8,400 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 24 percent higher. If there is a recession, then EBIT will be 31 percent lower. Kaelea is considering a $35,000 debt issue with an interest rate of 6 percent. The proceeds will be used to repurchase shares of stock. There are currently 4,000 shares outstanding. Assume Kaelea has a tax rate of 35 percent.
Explanation / Answer
Under Normal Economic Conditions:
EPS = EBIT/shares outstanding = $8,400 * (1 - 35%) / 4,000 = $1.37
Under Expansionary Conditions:
EPS = EBIT/shares outstanding = $8,400 * 1.24 * (1 - 35%)/ 4,000 = $1.69
Under Recession Conditions:
EPS = EBIT/shares outstanding = $8,400 * 0.69 * (1 - 35%)/ 4,000 = $0.94
Part B:
% EPS change after going from normal to expansion = (1.69 - 1.37)/ 1.37
% EPS change after going from normal to expansion = 24%
% EPS change after going from normal to recession = (0.94 - 1.37)/ 1.37
% EPS change after going from normal to recession = -31%
Part 2:
Market Value = 100,000
Shares outstanding = 4,000
Market Price = 100,000/ 4,000
Market Price = 25
If 35,000 debt is issued, then buyback of shares will be = 35,000/25
If 35,000 debt is issued, then buyback of shares will be = 1,400
Number of Shres Outstandin = 4,000 - 1,400 = 2,600
EBIT will be reduced by interest amount = 35,000 * 0.06 = 2,100
Normal:
Net Income = (8,400 - 2,100) * 0.65
Net Income = 4,095
EPS = 4,095/ 2,600
EPS = 1.58
Expansionary:
Net Income = (8,400 * 1.24 - 2,100) * 0.65
Net Income = 5,405.40
EPS = 5,405.40/ 2,600
EPS = 2.08
Recession:
Net Income = (8,400 * 0.69 - 2,100) * 0.65
Net Income = 2,402.40
EPS = 2,402.40/ 2,600
EPS = 0.92
% change in EPS going from normal to expansion = (2.08 - 1.58)/ 1.58 = 32.00%
% change in EPS going from normal to recession = (0.92 - 1.58)/ 1.58 = -70.45%
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