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ACCA FM · Chapter 6 · Question 3 of 10

A project requires an investment of $250,000 now and will generate net cash inflows of $70k, $80k, $90k and $60k at the end of years 1 to 4 respectively. The cost of capital is 10%. Using discount factors rounded to 3 decimal places, what is the net present value?

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Reveal answer & explanation

Correct answer: B) -$11,720

Explanation

PV of inflows = 70,000 x 0.909 + 80,000 x 0.826 + 90,000 x 0.751 + 60,000 x 0.683 = 63,630 + 66,080 + 67,590 + 40,980 = $238,280. NPV = $238,280 - 250,000 = -$11,720, so the project should be rejected. Treating the year 1 flow as arising now gives +$12,120, and ignoring discounting gives +$50,000.

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