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Annual worth is the equivalent uniform amount per period obtained by

  • A.dividing the present worth by the number of periods
  • B.multiplying the present worth by the interest rate
  • C.adding the annual receipts and subtracting the annual costs
  • D.multiplying the present worth by the capital recovery factor

Answer: D

Correct answer: multiplying the present worth by the capital recovery factor

\[ AW = PW \times (A/P, i, n) = PW \times \frac{i(1+i)^n}{(1+i)^n - 1}. \] Dividing by the number of periods would ignore interest entirely, which is the arithmetic mistake this option is placed to catch.

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