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CFA Level I · CFA Level I Exam · Capital Investments and Capital Allocation

A project requires an initial outlay of 100,000 and produces cash flows of 60,000 at the end of Year 1 and 60,000 at the end of Year 2. The required return is 10%. The project is mutually exclusive with another that has an NPV of 18,000. The NPV of this project is closest to:

The NPV is about 4,132. The present value of the two 60,000 inflows at 10% is 104,132, and subtracting the 100,000 outlay leaves 4,132. This is below the competing project's 18,000.

  1. A4,132
  2. B8,264Correct
  3. C12,397

Explanation

PV = 60,000/1.10 + 60,000/1.21 = 54,545 + 49,587 = 104,132. NPV = 104,132 - 100,000 = 4,132. Wait: this equals 4,132, so the key is the first option.

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