Question

Alpha Industries is considering a project with an initial cost of $8.2 million. The project will produce cash inflows of $1.93 million per year for 6 years. The project has the same risk as the firm. The firm has a pretax cost of debt of 5.67% and a cost of equity of 11.31%. The debt-equity ratio is 0.62 and the tax rate is 21%. What is the net present value of the project

Answer 1

Answer:

$347,941.73

Explanation:

First, find the Weighted Average Cost of Capital (WACC). WACC is the minimum return that a project must offer before it can be accepted. It is thus used to discount the future cash flows of a project to its Present Value.

WACC = Ke × E/V + Kd × D/V

where,

Ke = cost of equity

    = 11.31%

E/V = Market Weight of Equity

      = (1/1.62 × 100)

      = 61.73%

Kd = After tax cost of debt

     = 5.67% × ( 1  - 0.21)

     = 4.48 %

D/V = Market Weight of Debt

      = 0.65/1.65 × 100

      = 39.40%

Therefore,

WACC =  11.31% × 0.6773 + 4.48 % × 0.3940

           = 9.43 %

Next, find the net present value of the project using a financial calculator as follows :

CFj -$8,200,000

CFj $1,930,000

CFj $1,930,000

CFj $1,930,000

CFj $1,930,000

CFj $1,930,000

i/yr =  9.43 %

Shift NPV = $347,941.73