A company has three independent investment opportunities. Each investment costs $1,000, and the firm's cost of capital is 10%. The cash inflow of each investment is as follows:
cash inflow A B C
year
1 $300 500 100
2 300 400 200
3 300 200 400
4 300 100 500
If the company uses net present value method to evaluate its investments, which investment(s) should the firm make?
investment opportunity C
neither investment opportunity A, B or C
investment opportunity B
investment opportunity A
Project A:
NPV = Present value of cash inflows - present value of cash outflows
NPV = -1000 + 300 / (1 + 0.1)1 + 300 / (1 + 0.1)2 + 300 / (1 + 0.1)3 + 300 / (1 + 0.1)4
NPV = -$49.04
Project B:
NPV = Present value of cash inflows - present value of cash outflows
NPV = -1000 + 500 / (1 + 0.1)1 + 400 / (1 + 0.1)2 + 200 / (1 + 0.1)3 + 100 / (1 + 0.1)4
NPV = $3.69
Project C:
NPV = Present value of cash inflows - present value of cash outflows
NPV = -1000 + 100 / (1 + 0.1)1 + 200 / (1 + 0.1)2 + 400 / (1 + 0.1)3 + 500 / (1 + 0.1)4
NPV = -$101.77
Projects having positive NPV should be accepted
investment opportunity B
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