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My Corporation has been presented with an investment opportunity which will yield end-of-year cash flows of $30,000 per year in Years 1 through 4, $35,000 per year in Years 5 through 9, and $40,000 in Year 10

Business Oct 06, 2020

My Corporation has been presented with an investment opportunity which will yield end-of-year cash flows of $30,000 per year in Years 1 through 4, $35,000 per year in Years 5 through 9, and $40,000 in Year 10. This investment will cost the firm $150,000 today, and the firm's cost of capital is 10 percent. What is the NPV for this investment?

Expert Solution

NPV is calculated by finding the present value of each cash flow, including both cash inflows and outflows, discounted at the firm's cost of capital.

NPV = sum of CFt where CF is the cash flow
(1 + k)t k is the cost of capital
t is the period

NPV = - 150,000 + 30,000 + 30,000 + 30,000 + 30,000 + 35,000 + 35,000 + 35,000 + 35,000
(1.10)1 (1.10)2 (1.10)3 (1.10)4 (1.10)5 (1.10)6 (1.10)7 (1.10)8

+ 35,000 + 40,000
(1.10)9 (1.10)10

NPV = - 150,000 + 27,273 + 24,792 + 22,539 + 20,490 + 21,731.5 + 19,757.5 + 17,962 + 16,327.5 + 14,843.5 + 15,420

NPV = - 150,000 + 201136

NPV = 51,136

You should accept this investment because the net present value from this investment is positive.

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