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CS Executive · Corporate Accounting and Financial Management · Time Value of Money

Using the Rule of 72, approximately how many years will it take for a sum to double at 8% per annum compound interest?

It takes about 9 years. The Rule of 72 estimates doubling time by dividing 72 by the annual interest rate in percent, so 72 divided by 8 equals 9. This matches the exact compounding result of roughly 1.08 to the power 9, near 2.

  1. A6 years
  2. B8 years
  3. C9 yearsCorrect
  4. D12 years

Explanation

Rule of 72: doubling time is about 72 divided by the rate = 72/8 = 9 years. Check: (1.08)^9 is about 2.0. Six years would result from dividing by 12, not 8.

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