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Music City, Inc., has no debt outstanding and a total market value of $150,000.

ID: 2805461 • Letter: M

Question

Music City, Inc., has no debt outstanding and a total market value of $150,000. 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 10 percent higher. If there is a recession, then EBIT will be 30 percent lower. The company is considering a $75,000 debt issue with an interest rate of 6 percent. The proceeds will be used to repurchase shares of stock. There are currently 10,000 shares outstanding. Ignore taxes for this problem. Assume the stock price is constant.

  

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.)

  

  

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 the nearest whole number, e.g., 32.)

  

  

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.)

  

  

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.)

  

Music City, Inc., has no debt outstanding and a total market value of $150,000. 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 10 percent higher. If there is a recession, then EBIT will be 30 percent lower. The company is considering a $75,000 debt issue with an interest rate of 6 percent. The proceeds will be used to repurchase shares of stock. There are currently 10,000 shares outstanding. Ignore taxes for this problem. Assume the stock price is constant.

Explanation / Answer

a1. EPS before debt is issued:

Recession 32000*(1-0.30) = 22400/10000 = 2.24

normal 32000/10000 = 3.2

Expansion 32000*(1.1) = 35200/10000 = 3.52

a2.

recession = (2.24-3.2)/3.2 = -30%

Expand = (3.52 - 3.2)/3.2 = 10%

b1.

Total market value = 150000

Number of shares = 10000

Price per share = 15

Total debt = 75000

Number of shares repurchased by debt = 75000/15 = 5000

Now shares remaning = 10000 - 5000 = 5000

Interest on debt = 75000*6% = 4500

Recession

(EBIT as above) 22400 - 4500 = 17900

EPS = 17900/5000 = 3.58

Normal

EBIT 32000 - Interest 4500 = 27500

EPS = 27500/5000 = 5.5

Expansion

(EBIT as above) 35200 - 4500 = 30700

EPS = 30700/5000 = 6.14

b2

% change in EPS

Recession = (3.58-5.5)/5.5 = -34.90%

Expansion = (6.14 - 5.5)/5.5 = 11.64%