Question

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Sunrise, Inc., has no debt outstanding and a total market value of $395,600. Earnings before interest...

Sunrise, Inc., has no debt outstanding and a total market value of $395,600. Earnings before interest and taxes, EBIT, are projected to be $53,000 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 13 percent higher. If there is a recession, then EBIT will be 22 percent lower. The company is considering a $195,000 debt issue with an interest rate of 8 percent. The proceeds will be used to repurchase shares of stock. There are currently 8,600 shares outstanding. The company has a tax rate of 21 percent, a market-to-book ratio of 1.0, and the stock price remains constant.

a-1. Calculate earnings per share (EPS) under each of the three economic scenarios before any debt is issued. (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)

a-2. Calculate the percentage changes in EPS when the economy expands or enters a recession. (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

b-1. Calculate earnings per share (EPS) under each of the three economic scenarios assuming the company goes through with recapitalization. (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)

b-2. Given the recapitalization, calculate the percentage changes in EPS when the economy expands or enters a recession. (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

Solutions

Expert Solution

4 a.1 Recession Normal Expansion
5 EBIT 41340 53000 59890
6 Less interest 0 0 0
7 EBT 41340 53000 59890
8 Less Tax 0 0 0
9 Net income 41340 53000 59890
10 Number of shares 8600 8600 8600
11 EPS 4.806977 6.162791 6.963953
12 EPS (rounded) 4.81 6.16 6.96
13 a.2 % change in EPS
14 Recession -22.00%
15 Expansion 13.00%
New share = Outstanding share - repurchase share
share price per share = Total market value / number of share
= 395600/8600 =46
number of repurchase share = Debt/ Share price per share = 195000/46
= 4239
new share = 8600-4239 =4361
21 b.1 Recession Normal Expansion
22 EBIT 41340 53000 59890
23 Less interest (Debt*interest rate) 15600 15600 15600
24 EBT 25740 37400 44290
25 Less Tax (EBT*Tax rate) 5405.40 7854.00 9300.90
26 Net income 20334.60 29546.00 34989.10
27 Number of shares 4361 4361 4361
28 EPS 4.662830 6.775052 8.023183
29 EPS (rounded) 4.66 6.78 8.02
30 b.2 % change in EPS
31 Recession -31.18%
32 Expansion 18.42%

formula:

4 a.1 Recession Normal Expansion
5 EBIT =53000*(100%-22%) 53000 =53000*(100%+13%)
6 Less interest 0 0 0
7 EBT =F5-F6 =G5-G6 =H5-H6
8 Less Tax 0 0 0
9 Net income =+F7-F8 =+G7-G8 =+H7-H8
10 Number of shares 8600 8600 8600
11 EPS =F9/F10 =G9/G10 =H9/H10
12 EPS (rounded) 4.81 6.16 6.96
13 a.2 % change in EPS
14 Recession =(F12-G12)/G12
15 Expansion =(H12-G12)/G12
21 b.1 Recession Normal Expansion
22 EBIT =53000*(100%-22%) 53000 =53000*(100%+13%)
23 Less interest (Debt*interest rate) =195000*8/100 =195000*8/100 =195000*8/100
24 EBT =F27-F28 =G27-G28 =H27-H28
25 Less Tax (EBT*Tax rate) =F29*0.21

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