A firm is considering 2 capital investment projects Project
A firm is considering 2 capital investment projects. Project A involves an initial cost of $125,000. The discounted present value of all future cash flows is $145,000. Project B requires an initial expenditure of $85,000. The discounted present value of all future cash flows is $102,000.
a. Calculate the net present value of each of the 2 projects. Which would be preferred according to the net present value criterion?
b. Calculate the profitability index of each of the 2 projects. Which would be preferred according to the profitability index criterion?
Solution
ANSWER:
1) Net present value of project a = discounted future cash flows - initial cost = $145,000 - $125,000 = $20,000
Net present value of project b = discounted future cash flows - initial cost = $102,000 - $85,000 = $17,000
according to net present value we will choose project a.
2) Profitability index of project a = present value of future cash flows / initial cost = $145,000 / $125,000 = 1.16
Profitability index of project b = present value of future cash flows / initial cost = $102,000 / $85,000 = 1.2
according to profitability index we will choose project b.

