Asked by Jordan Jeyachandran on Jun 19, 2024

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Suppose a firm's stock valuation is worth three times its outstanding debt. The firm's stock earns an annual return of 6 percent and pays 8 percent on the outstanding debt. What is the firm's company cost of capital?

A) 4.5 percent
B) 6 percent
C) 6.5 percent
D) 8 percent

Company Cost

Expenses incurred by a business in the process of producing goods or services, including operational, production, and capital costs.

Capital

Financial assets or the financial value of assets, such as cash and goods, used to fund the production of goods and services or to pay for investments.

Outstanding Debt

The total amount of debt that a company or individual owes that has not yet been paid.

  • Assess the cost of capital for firms, including the influence of debt and equity.
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Verified Answer

HH
Haziq HafiyJun 20, 2024
Final Answer :
C
Explanation :
The first step is to find the weights of debt and equity. Since the stock valuation is worth three times the outstanding debt, we can assume that the firm has one unit of debt and three units of equity.

Weight of debt = 1 / (1 + 3) = 0.25
Weight of equity = 3 / (1 + 3) = 0.75

Next, we need to calculate the cost of equity using the capital asset pricing model (CAPM):

Cost of equity = risk-free rate + beta * market risk premium
Assuming the risk-free rate is 2 percent and the equity's beta is 1 (which is average), we can use the market risk premium as the difference between the equity return and the risk-free rate:

Market risk premium = 6% - 2% = 4%

Cost of equity = 2% + 1 * 4% = 6%

Finally, we can calculate the weighted average cost of capital (WACC) using the weights and costs of debt and equity:

WACC = (0.25 * 8%) + (0.75 * 6%) = 6.5%