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Discounting a future sum to the present means

  • A.multiplying it by the number of periods
  • B.dividing it by one plus the rate raised to the number of periods
  • C.multiplying it by one plus the rate raised to the number of periods
  • D.subtracting the total interest from it

Answer: B

Correct answer: dividing it by one plus the rate raised to the number of periods

\[ P = \frac{F}{(1+i)^n}. \] Discounting is compounding run backwards, and it asks what sum invested today would grow into the future amount. Multiplying instead of dividing is the standard slip, and it gives an answer larger than the future sum rather than smaller.

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