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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.)
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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