As Chief Economic Adviser at BigOil Company, you are also the company’s Chief Fi
ID: 2787943 • Letter: A
Question
As Chief Economic Adviser at BigOil Company, you are also the company’s Chief Financial Officer. Your company has launched an ambitious capital investment program, and the Board of Directors has assigned to you the task of estimating the company’s cost of capital. You take this assignment seriously and decided to do the work yourself. Suppose that one of your assistants has collected the following data for BigOil Company.
• The company’s capital structure (mix of debt and equity) is composed of: Debt (D) = $385.7M and Common stock (E) = $1,200.0M
• The cost of debt can be estimated using the cost of bonds (the principal component in the company’s debt), which has the following characteristics: - Face Value = $1,000; - Coupon rate = 6%, paid annually; - Time to maturity = 10 years; - The bonds currently trade for $807.47; - BigOil’s corporate tax rate (Tc) = 35%.
• The cost of equity can be estimated using CAPM, assuming the following data: - Return on the risk-free security (e.g., 10-year US government note) = 3%; - Return on the market index (e.g., S&P500) = 11.2%; - BigOil’s Beta () = 1.1.
Now suppose that BigOil has a good credit rating, and you, as the company’s CFO, convinced the CEO and the Board of Directors to push up the company’s debt ratio to 50 percent. Given this new debt ratio and if the required rates of return on the company’s bond and equity are as found in (B) above, what is the company’s weighted average cost of capital? What would be the implication of using this WACC to evaluate the company’s investments?
Explanation / Answer
cost of equity in %
risk free rate+(market return-risk premium)*beta
3+(11.2-3)*1.1
12.02
before tax cost of debt in %
interest+(par value-market value)/years to maturity / (Par value+ market value)/2
60+(1000-807.47)/10 / (1000+807.47)/2
0.08769
8.77
after tax cost of debt %
before tax cost*(1-tax rate)
8.77*(1-.35)
5.7005
source
weight
cost of capital of source
weight*cost of capital
debt
0.5
5.7005
2.85025
equity
0.5
12.02
6.01
weighted average cost of capital in %
sum of weight*cost of capital
8.86
WACC is called minimum required rate of return so it would be used as a standard rate of return that a business must earn
cost of equity in %
risk free rate+(market return-risk premium)*beta
3+(11.2-3)*1.1
12.02
before tax cost of debt in %
interest+(par value-market value)/years to maturity / (Par value+ market value)/2
60+(1000-807.47)/10 / (1000+807.47)/2
0.08769
8.77
after tax cost of debt %
before tax cost*(1-tax rate)
8.77*(1-.35)
5.7005
source
weight
cost of capital of source
weight*cost of capital
debt
0.5
5.7005
2.85025
equity
0.5
12.02
6.01
weighted average cost of capital in %
sum of weight*cost of capital
8.86
WACC is called minimum required rate of return so it would be used as a standard rate of return that a business must earn
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