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A proposed project will cost $23,364 to build (today) and then will produce cash flows of $7,799 a year for 5 years (year 1 t

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Answer #1

Present value of cash inflows = Annuity * [1 - 1 / (1 + r)^n] / r

Present value of cash inflows = 7,799 * [1 - 1 / (1 + 0.04)^5] / 0.04

Present value of cash inflows = 7,799 * [1 - 0.821927] / 0.04

Present value of cash inflows = 7,799 * 4.451822

Present value of cash inflows = $34,719.76236

Present value of cash outflow = Future value / (1 + r)^n

Present value of cash outflow = 13,774 / (1 + 0.04)^5

Present value of cash outflow = 13,774 / 1.216653

Present value of cash outflow = 11,321.22397

NPV = Present value of cash inflows - present value of cash outflows

NPV = 34,719.76236 - 11,321.22397 - 23,364

NPV = $35

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