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 $24,000 worth of stock. Ignore taxes.
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a.
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What will be the stock price
before and after the repurchase?
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Stock
Price
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Before
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$
per
share
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After
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per
share
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Explanation:
a.
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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.
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The price is the same as before
the repurchase.
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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 $10.
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a.
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Find
the current price of the stock. (Do not round
intermediate calculations. Round your answer to 2 decimal places.)
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Current price
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$
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b.
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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.)
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Before-tax rate of
return
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%
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c.
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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
$10 in 1 year, at what price must the stock now sell? (Do not round intermediate calculations. Round your answer
to 2 decimal places.)
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Price
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$
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d-1.
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What
is the before-tax rate of return? (Do not round
intermediate calculations. Round your answer to 2 decimal places.)
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Before-tax rate of
return
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%
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d-2.
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Why is it now higher than in part
(b)?
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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.
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a.
Price
= PV (after-tax dividend plus final share price) =
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[$1 × (1 − 0.30)] + $10
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= $9.73
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1.10
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b.
Before-tax
rate of return =
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dividend + capital gain
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=
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$1.00 + ($10.00 − $9.73)
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= 0.1308 = 13.08%
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price
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$9.73
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c.
Price
= PV (after-tax dividend plus final share price) =
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[$2 × (1 − 0.30)] + $10
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= $10.36
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1.10
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d-1.
Before-tax
rate of return =
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dividend + capital gain
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=
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$2 + ($10 − $10.36)
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= 0.1579 = 15.79%
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price
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$10.36
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d-2.
The
before-tax return must increase in order to provide the same after-tax return
of 10%.
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