Computing the weighted average cost of capital


Problem 1. Sangria Corporation has a marginal tax rate of 35%.  The cost of equity is 14.6% and the pretax cost of debt is 8%.  Given the book and market value balance sheets shown below, what is the tax adjusted WACC?

Balance Sheet (Book Value, Millions)

Assets

125

50

Debt

 

 

75

Equity

Total Assets

125

125

Total


Problem 2: Company ABC had only $277 million in debt on its books in March 1990, while the market value of equity at the same point in time was $16,182 million (the market price per share was $69.75 and there were 232 million shares outstanding). In proportional terms, 1.68% of the overall financial mix was debt and the remaining 98.32% was equity.

The beta for Company ABC’s stock in March 1990 was 0.95. The Treasury bond rate at that time was 9.00%. Company ABC’s senior debt rate was AA. While Company ABC had no bonds outstanding, other long-term bonds with AA rating were yielding 9.70%. The tax rate was 34%.

a. Calculate the value of the firm in March 1990
b. Calculate the cost of equity
c. Calculate the cost of debt
d. Calculate the weighted average cost of capital

Problem 3: Consider a project requiring an investment of $20,000 that is expected to return, in actual dollars, $6,000 at the end of the ?rst year, $8,000 at the end of the second year, and $12,000 at the end of the third year. The general price in?ation rate is 5% per year, and the real interest rate is 10% per year. Compare the PW of this project using before-tax actual dollar and real dollar analysis (assume).

Problem 4: The XYZ Corporation has an overhead crane that has an estimated remaining life of 10 years. The crane can be sold now for $8,000. If the crane is kept in service, it must be overhauled immediately at a cost of $4,000. Operating and maintenance costs will be $3,000 per year after the crane is overhauled. The overhauled crane will have zero market value at that time. Operating and maintenance costs are $1,000 per year for the new crane. The company uses a before-tax interest rate of 10% per year in evaluating investment alternatives. Conduct a before-tax replacement analysis and state whether the company should replace the old crane?

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Macroeconomics: Computing the weighted average cost of capital
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