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Monday, 9 July 2012

Good Values, Inc., is all-equity-financed. The total market value of the firm currently is


Good Values, Inc., is all-equity-financed. The total market value of the firm currently is $240,000, and there are 3,000 shares outstanding. Good Values plans to repurchase $24,000 worth of stock. Ignore taxes.

a.
What will be the stock price before and after the repurchase?


 Stock Price                  
  Before
$ per share  
  After
per share  




Explanation:
a.
The repurchase will have no tax implications. Because the repurchase does not create a tax obligation for the shareholders, the value of the firm today is the value of the firm’s assets ($240,000) divided by 3,000 shares, or $80 per share. The firm will repurchase 300 shares for $24,000. After the repurchase, the stock will sell at a price of $216,000/2,700 = $80 per share.

The price is the same as before the repurchase.

Investors require an after-tax rate of return of 10% on their stock investments. Assume that the tax rate on dividends is 30% while capital gains escape taxation. A firm will pay a $1 per share dividend 1 year from now, after which it is expected to sell at a price of $10.

  a.
Find the current price of the stock. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

  Current price
$  

  b.
Find the expected before-tax rate of return for a 1-year holding period. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

  Before-tax rate of return
%  

  c.
Now suppose that the dividend will be $2 per share. If the expected after-tax rate of return is still 10%, and investors still expect the stock to sell at $10 in 1 year, at what price must the stock now sell? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

  Price
$  

d-1.
What is the before-tax rate of return? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

  Before-tax rate of return
%  

d-2.
Why is it now higher than in part (b)?

  The before-tax return is higher because the larger dividend creates a
  greater tax burden.


Explanation:
Some values below may show as rounded for display purposes, though unrounded numbers should be used for the actual calculations.

a. 
Price = PV (after-tax dividend plus final share price) =  
[$1 × (1 − 0.30)] + $10
  = $9.73
1.10

b.
Before-tax rate of return =  
dividend + capital gain
=
$1.00 + ($10.00 − $9.73)
  = 0.1308 = 13.08%
price
$9.73

c. 
Price = PV (after-tax dividend plus final share price) =  
[$2 × (1 − 0.30)] + $10
  = $10.36
1.10

d-1.
Before-tax rate of return =  
dividend + capital gain
=
$2 + ($10 − $10.36)
  = 0.1579 = 15.79%
price
$10.36

d-2.
The before-tax return must increase in order to provide the same after-tax return of 10%.

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