Question

Alpha Industries is considering a project with an initial cost of $9.7 million. The project will produce cash inflows of $1.67 million per year for 9 years. The project has the same risk as the firm. The firm has a pretax cost of debt of 6.12 percent and a cost of equity of 11.61 percent. The debt–equity ratio is .77 and the tax rate is 40 percent. What is the net present value of the project?

Answer 1

$660,000

Step-by-step explanation:

WACC = [wD * kD * (1 - t)] + [wE * kE]

WACC = [(0.77 / 1.77)*6.12%* (1 - 0.40)] + [(1 / 1.77)*11.61%]

WACC = 1.60% + 6.56%

WACC = 8.16%

Present value of annuity = Annuity*[1-(1+interest rate)^-time period]/rate

Present value of annuity = $1.67*[1-(1.08156745763)^-9]/0.0816

Present value of annuity = $1.67*6.206374532

Present value of annuity = $10.36 million

NPV = Present value of inflows - Present value of outflows

NPV = $10.36 million - $9.7 million

NPV = $660,000