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20. WACC and NPV [LO3, 5] Sommer, Inc., is considering a project that will result
in initial aftertax cash savings of $2.3 million at the end of the first year, and these
savings will grow at a rate of 2 percent per year indefinitely. The firm has a target
4.6 percent. The cost-saving proposal is somewhat riskier than the usual project the
firm undertakes; management uses the subjective approach and applies an adjustment factor of +3 percent to the cost of capital for such risky projects. Under what
circumstances should the company take on the project?

Answer :

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Sommer Inc is considering the new project, and yet we have to calculate under what circumstances the company have to take on the project. In order to assess the project, we need to compute the break-even cost such as the present value of future cash flows and calculate the WACC weighted cost of capital. It measures the weighted cost of equity and the after tax cost of debt. The following information are given: Debt to equity ratio = 0.90 Cost of equity = 13% After-tax cost of debt = 4.8% After-tax cost of savings = $2.7 million Debt to equity ratio = Debt / Equity = 0.90 Therefore, Value of firm = value of debt + value of equity Value of firm = 0.90E + E Value of firm

See the calculation of WACC as attachment

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