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Rule of 72 Calculator

Use the Rule of 72 to estimate how long it takes to double your money at a given interest rate, or what rate you need to double in a given time.

Doubling Estimate

The Rule of 72 is a quick mental math shortcut for estimating compound growth:

Years to Double = 72 / Interest Rate (%)

Or in reverse:

Required Rate = 72 / Years to Double

Examples:

  • At 6% interest: 72 / 6 = 12 years to double
  • At 8% interest: 72 / 8 = 9 years to double
  • At 12% interest: 72 / 12 = 6 years to double
  • Double in 5 years: 72 / 5 = 14.4% required rate

Why 72?

  • 72 is divisible by many small numbers (2, 3, 4, 6, 8, 9, 12) making mental math easy
  • It is most accurate for rates between 6–10%
  • For lower rates, the Rule of 70 is slightly more accurate
  • For higher rates, the Rule of 69.3 is more precise

Comparison to exact doubling time:

  • The exact formula is: ln(2) / ln(1 + r) ≈ 69.3 / rate
  • The Rule of 72 adds a small correction that improves accuracy in the 6–10% range

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