The firm’s cost of equity capital is 18%, the market value of firm’s equity is $8 million, the firm’s cost of debt is 9%, and the market value of debt is $4 million. The firm is considering a new investment with an expected rate of return of 17%. This project is 30% riskier than the firm’s average operations. The risk-free rate of return is 5%, the variance of the market return is 0.08. Is the project profitable?
"WACC=18\\times\\frac{8}{12}+9\\times\\frac{4}{12}=12+3=15"
"CARM=5+\\frac{0.3}{0.08}(15-5)=42.5"
17<42.5
the project is profitable
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