Question

Joshua Industries is considering a new project with cash inflows of $478,000 for the indefinite future. Cash costs are 68 percent of the cash inflows. The initial cost of the investment is $685,000. The tax rate is 34 percent and the unlevered cost of equity is 14.2 percent. The firm is financing $200,000 of the project cost with debt. What is the adjusted present value of the project?

Answer 1

$93,940.85

Step-by-step explanation:

Adjusted present value is the sum of net present value of after tax cash flow and net present value of tax shield.

First compute after tax cash flow:

Cash inflow = $478,000

Cash cost = 68% of $478,000 = $325,040

Pre-tax profit = 478,000 - 325,040 = $152,960

Tax = 34 %

After tax cash flow = 152,960 (1 - 0.34) = $100,953.60

Net present value of after tax cash flow =
`(After\ tax\ cash\ flow )/(Cost\ of\ equity) -Intial\ investment\\`

=
`(100,953.60)/(0.142) - 685,000`

= $25,940.85

Present value of tax shield = Amount of debt × tax rate

= 200,000 × 0.34

= $68,000

Adjusted present value = 28,940.85 + 68,000

= $93,940.85