Question

A project has an initial cost of $480,000, projected cash inflows of $311,500, cash costs of $214,650, a tax rate of 35 percent, and a weighted average cost of capital of 13.8 percent. What is the net present value of the project

Answer 1

The net present value of the project is -$23,822.46.

Step-by-step explanation:

Gross profit = Cash inflow - Cash cost = $311,500 - $214,650 = $96,850

Tax = Gross profit * Tax rate = $96,850 * 35% = $33,897.50

Net profit = Gross profit - Tax = $96,850 - $33,897.50 = $62,952.50

The net profit which is an annual income is a type of perpetuity and its present value can be calculated as follows:

Present value of perpetuity = Annual net profit or income / weighted average cost of capital = $62,952.50 / 0.138 = $456,177.54

The net present value of the project can now be calculated as follows:

Net present value of the project = Present value of perpetuity - Initial cost = $456,177.54 - $480,000 = -$23,822.46

Therefore, the net present value of the project is -$23,822.46.