Acme Services’ CFO is considering whether to take on a new project that has aver

Question

Acme Services’ CFO is considering whether to take on a new project that has average risk. She has collected the following information: • The company has outstanding bonds that mature in 26 years. The bonds have a face value of $1,000, an annual coupon of 7.5%, and sell in the market today for $920. There are 10,000 bonds outstanding. • The risk-free rate is 6%. • The market risk premium is 5%. • The stock’s beta is 1.2. • The company’s tax rate is 40%. • The company has 50,000 shares of preferred stock with a par value of $100. These shares are currently trading at $105, and pay an annual dividend of $5.40. • The company also has 1,850,000 common shares trading at $25. These shares last paid an annual dividend of $0.93. What is Acme’s after-tax cost of debt?

Explanation / Answer

Answer: Calculation of the Acme’s after-tax cost of debt is:

Firstly calculate the YTM:

Par value=1000

Market value=920

MAturity in years=26

Interest rate=7.5%

YTM=8.26%

Kd =8.26%(1-0.40)

=4.95%

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