Firm value accounted for by the debt-generated tax shield


Question 1:

Book    Market
Net working capital=20    40=debt    Net working capital=20    40=debt
Long-Term assets=80    60=equity    Long-Term Assets=140    120=equity
100    100    160    160

Assume that MM's theory holds with taxes. There is no growth, and the $40 of debt is expected to be permanent. Assume a 40% corporate tax rate.

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

b. How much better off will UF's a shareholder be if the firm borrows $20 more and uses it to repurchase stock?

Question 2:

Calculate the weighted-average cost of capital (WACC) for Federated Junkyards of America, using the following information:

- Debt: $75,000,000 book value outstanding. The debt is trading at 90% of book value. The yield to maturity is 9%.
- Equity: 2,500,000 shares selling at $42 per share. Assume the expected rate of return on Federated's stock is 18%.
- Taxes: Federated's marginal tax rate is Tc = .35.

Question 3:

A project costs $1 million and has a base-case NPV of exactly zero (NPV = 0). What is the project's APV in the following cases?

a. If the firm invests, it has to raise $500,000 by a stock issue. Issue costs are 15% of net proceeds.

b. If the firm invests, its debt capacity increases by $500,000. The present value of interest tax shields on this debt is $76,000.

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