Part 4 (ch12) Questions Numeric

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For students

Last updated: 19/03/2025

Type your answers with “.” instead of “,”! For numerical answers, use 2 decimal places. For instance, if your answer is 0.12345 or 12.345%, type, “12.34” in the box.


Q1: Cost of Equity Capital

Q: Suppose a security’s beta is 0.91. If the risk-free rate is 4.984 percent and the market risk premium is 7.998 percent, calculate the security’s cost of equity capital?

Q: Suppose a security’s beta is 1.042. If the risk-free rate is 5.013 percent and the expected return of the market portfolio is 12.982 percent, calculate the security’s cost of equity capital?

Answer:

  1. 12.264

  2. 13.32


Q2: Cost of Debt

Q: Suppose a company has outstanding bonds with a yield to maturity of 9.998 percent, a beta of 0.15, a rating with a probability of default of 49.992 percent and expected loss rate of 7.012 percent. If corresponding risk-free rates were 6.502 percent, and the market risk premium was 7.992 percent, estimate the expected return of the company’s debt using the CAPM and the default rate method.

CAPM:

Expected default method:

Answer:

CAPM: 7.701

Expected default method: 6.493


Q3: Cost of Capital

Q: Use the following information to answer the question(s) below:

Company Beta Volatility (%)
A 0.52 24.62
B 0.91 19.82
C 1.11 32.89
D 1.22 28.19

Assume that the risk-free rate of interest is 2.71% and you estimate the market’s expected return to be 7.79%.

  • What is the cost of capital of Company A?

  • What is the cost of capital of Company B?

  • What is the cost of capital of Company C?

  • What is the cost of capital of Company D?

Answer:

  1. 5.35

  2. 7.33

  3. 8.35

  4. 8.91


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