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A cash flow whose sign changes more than once may have

  • A.a negative payback period
  • B.an internal rate of return of exactly zero
  • C.more than one internal rate of return
  • D.no present worth at any rate

Answer: C

Correct answer: more than one internal rate of return

The present worth equation is a polynomial in the discount factor, and each sign change in the cash flow admits another possible positive root. A project requiring a large restoration outlay at the end - a mine or a nuclear plant - has two sign changes and may well have two rates at which the present worth is zero, neither of which means anything on its own.

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