Reliable
Gearing currently is all-equity-financed. It has 14,000 shares of equity
outstanding, selling at $100 a share. The firm is considering a capital
restructuring. The low-debt plan calls for a debt issue of $300,000 with the
proceeds used to buy back stock. The high-debt plan would exchange $300,000
of debt for equity. The debt will pay an interest rate of 10.4%. The firm
pays no taxes.
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a.
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What
will be the debt-to-equity ratio after each contemplated restructuring? (Round your answers to 2 decimal places.)
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Debt-to-Equity
Ratio
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Low-debt plan
|
|
High-debt plan
|
|
b-1.
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If
earnings before interest and tax (EBIT) will be either $110,000 or $160,000,
what will be earnings per share for each financing mix for both possible
values of EBIT? (Round your answers to 2 decimal
places.)
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Earnings Per Share
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||
EBIT
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Low-Debt
Plan
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High-Debt
Plan
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$110,000
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$
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$
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$160,000
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||
b-2.
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If
both scenarios are equally likely, what is expected (i.e., average) EPS under
each financing mix? (Do not round intermediate
calculations. Round your answers to 2 decimal places.)
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Earnings
Per Share
|
|
Low-debt plan
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$
|
High-debt plan
|
|
b-3.
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Is the high-debt mix preferable?
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No
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c.
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Suppose
that EBIT is $145,600. What is EPS under each financing mix? (Round your answers to 2 decimal places.)
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Earnings
Per Share
|
|
Low-debt plan
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$
|
High-debt plan
|
|
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.
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Market value of the firm is $100 ×
14,000 = $1,400,000.
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With the low-debt plan, equity
falls by $300,000, so:
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D/E = $300,000/$1,100,000 = 0.27
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11,000 shares remain outstanding.
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With the high-debt plan, equity
falls by $300,000, so:
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D/E = $300,000/$1,100,000 = 0.27
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11,000 shares remain outstanding.
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b.
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Low-debt plan:
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EBIT
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$110,000
|
$160,000
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Interest
|
31,200
|
31,200
|
Equity earnings
|
78,800
|
128,800
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EPS [earnings/11,000]
|
7.16
|
11.71
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Expected EPS = ($7.16 + $11.71)/2
= $9.44
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High-debt plan:
|
EBIT
|
$110,000
|
$160,000
|
Interest
|
31,200
|
31,200
|
Equity earnings
|
78,800
|
128,800
|
EPS [earnings/11,000]
|
7.16
|
11.71
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Expected EPS = ($7.16 + $11.71)/2
= $9.44
|
The high-debt plan results in
lower expected EPS, it is preferable because it also entails lower risk. The
higher risk shows up in the fact that EPS for the high-debt plan is lower
than EPS for the low-debt plan when EBIT is low but EPS for the high-debt
plan is higher when EBIT is higher.
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c.
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Low-Debt
Plan
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High-Debt
Plan
|
|
EBIT
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$145,600
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$145,600
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Interest
|
31,200
|
31,200
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Equity earnings
|
114,400
|
114,400
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EPS
|
10.40
|
10.40
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