Question

Brad's Diner is expanding and expects operating cash flows of $32,000 a year for 4 years as a result. This expansion requires $39,000 in new fixed assets. These assets will be worthless at the end of the project. In addition, the project requires $3,000 of net working capital throughout the life of the project. What is the net present value of this expansion project at a required rate of return of 12 percent

Answer 1

Answer: $57,101.73

Explanation:

First find the present value of the cash inflows. The $32,000 is a constant payment so is an annuity. The net working capital will be realized at the end of the project as well.

Present value of cash inflows = (32,000 * Present value interest factor of an annuity, 4 years, 12%) + 3,000/ (1 + 12%)⁴

= (32,000 * 3.0373) + 1,906.55

= ‭$99,101.73

NPV = Present value of inflows - Outflows

= ‭99,100.15‬ - (39,000 + 3,000)

= $57,101.73