Question

DYI Construction Co. is considering a new inventory system that will cost $750,000. The system is expected to generate positive cash flows over the next four years in the amounts of $350,000 in year one, $325,000 in year two, $250,000 in year three, and $180,000 in year four. DYI's required rate of return is 8%. What is the net present value of this project?
$87,417

$96,320

$104,089

$183,472

Answer 1

Answer:

Year Cashflow        [email protected]% PV

$                      $

0 (750,000)             1          (750,000)

1        350,000               0.9259    324,065

2       325,000               0.8573     278,623

3        250,000              0.7938      198.450

4        180,000               0.7350      132,300

                                        NPV         184,438

The correct answer is D. The difference in answers is due to rounding error.

Explanation:

Net present value is the diffrence between initial outlay and present value of inflow. We need to discount the cash inflows for year 1 to year 4 at 8% and then calculate the present value of cash inflows by multiplying the cash inflows by the discount factors. Finally, we will calculate NPV by deducting the initial outlay from the present value of cash inflows.