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Here are book- and market-value balance sheets of the United Frypan Company: Ass

ID: 2794017 • Letter: H

Question

Here are book- and market-value balance sheets of the United Frypan Company:

Assume that MM’s theory holds except for taxes. There is no growth, and the $55 of debt is expected to be permanent. Assume a 29% corporate tax rate.

a. How much of the firm's market value is accounted for by the debt-generated tax shield?

PV tax shield =?


b. What is United Frypan’s after-tax WACC if rDebt = 7.7% and rEquity = 15.3%? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)

WACC =?


c. Now suppose that Congress passes a law that eliminates the deductibility of interest for tax purposes. What will be the new value of the firm, other things equal? Assume a borrowing rate of 7.7%. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

New Value of the firm =?

Book-Value Balance Sheet Net working capital $ 35 Debt $ 55 Long-term assets 65 Equity 45 $ 100 $ 100

Explanation / Answer

a.

PV of tax shield = 0.29 * $55

= $15.95.

b.

WACC = [ $55 / $205 * 0.077 * (1 - 0.29)] + [ $150 / $205 * 0.153]

= 0.01466 + 0.11195

= 0.12661 or 12.66%

c.

Average tax shield = 0.29 * (0.077 * $55)

= $1.23

Presenr value of tax shield = $1.23 * [ 1/ 0.077 - 1 / (0.077 * (1+0.077)5 ) ]

= $1.23 * [ 12.987 - 8.96258]

= $1.23 * 4.02442

= $4.95

Total value of the firm falls by = $15.95 - $4.95

= $11

Total value of firm = $205 - $11

= $194.

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