RAK, Inc., has no debt outstanding and a total market value of $140,000. Earning
ID: 2763962 • Letter: R
Question
RAK, Inc., has no debt outstanding and a total market value of $140,000. Earnings before interest and taxes, EBIT, are projected to be $32,000 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 12 percent higher. If there is a recession, then EBIT will be 30 percent lower. RAK is considering a $115,000 debt issue with an interest rate of 6 percent. The proceeds will be used to repurchase shares of stock. There are currently 7,000 shares outstanding. Ignore taxes for this problem. a-1 Calculate earnings per share (EPS) under each of the three economic scenarios before any debt is issued
Calculate the percentage changes in EPS 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.)
Calculate earnings per share (EPS) under each of the three economic scenarios assuming the company goes through with recapitalization. (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)
Given the recapitalization, calculate the percentage changes in EPS when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
Calculate the percentage changes in EPS 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.)
b-1Calculate earnings per share (EPS) under each of the three economic scenarios assuming the company goes through with recapitalization. (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)
EPS Recession $ Normal $ Expansion $
b-2
Given the recapitalization, calculate the percentage changes in EPS when the economy expands or enters a recession. (Negative amounts should be indicated by a minus sign. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
Percentage changes in EPS Recession % Expansion %
Explanation / Answer
Market value of company = $140,000
Number of outstanding share = 7,000
Price per share = $140,000 / 7,000
= $20
Price per share of company is $20.
Current EBIT = $32,000
EBIT in case of Expansion = $32,000 × (1+12%)
= $35,840
EBIT in case of recession = $32,000 × (1 - 30%)
= $22,400
Company planning to raise 115,000 as debt to repurchase stock. Interest rate on debt is 6%.
Total interest on debt = $115,000 × 6%
= $6,900
Total number of share repurchase from $115,000 at current price of $20 per share is calculated below:
Number of share repurchase = $115,000 / $20
= $5,750
After repurchase number of share remains = 7,000 – 5,750
= 1,250
Now earnings per share in normal case is calculated below:
EPS = ($32,000 - $6,900) / 1,250
= $20.08
Earning in case of normal economy is $20.08.
Earnings per share in expansion case is calculated below:
EPS = ($35,840 - $6,900) / 1,250
= $23.152
Earning in case of expansion economy is $20.08.
Earnings per share in recession case is calculated below:
EPS = ($22,400 - $6,900) / 1,250
= $12.4
Earning in case of recession economy is $12.40.
b.
Percentage change in EPS from normal economy to expansion economy is calculated below:
= ($23.152 – $20.08) / $20.08
=15.30%
Hence, Percentage change in EPS from normal economy to expansion economy is 15.30%
Percentage change in EPS from normal economy to recession economy is calculated below:
= ($12.40 – $20.08) / $20.08
= -38.25%
Hence, Percentage change in EPS from normal economy to recession economy is -38.25%
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