Alpha Industries is considering a project with an initial cost of $7.4 million. The project will produce cash inflows of $1.54 million a year for seven years. The firm uses the subjective approach to assign discount rates to projects. For this project, the subjective adjustment is +1.5 percent. The firm has a pretax cost of debt of 8.6 percent and a cost of equity of 13.7 percent. The debt-equity ratio is 0.0.65 and the tax rate is 35 percent. What is the net present value of the project?

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TomShelby TomShelby · Answer 1 · 2019-07-29T23:38:19+02:00

Answer:

Net Present Value: 362,855

Explanation:

First we need to calculate the WACC to know the required return of the project.

[tex]WACC = K_e(\frac{E}{E+D}) + K_d(1-t)(\frac{D}{E+D})[/tex]

Ke = 0.152 (0.137 cost of capital+ 0.015 subjective risk)

ER = 0.35 = E/(E+D)

Kd = 0.086

DR = 0.65 = D/(E+D)

t = 0.35

[tex]WACC = .152(.35) + .086(1-0.35)(.65)[/tex]

WACC 8.95350%

Then we calcualte the net present value:

Present value of the cash flow

[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]

C= 1,540,000

rate = 8.9535%

time 7 years

[tex]1,540,000 \times \frac{1-(1+0.089535)^{-7} }{0.089535} = PV\\[/tex]

PV = 7,762,855

Present value of the cash flow - Investment = NPV

7,762,855 - 7,400,000 = 362,855