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Financial calculators · Everyday maths

Rule of 72 calculator

Estimate how many years money takes to double at an annual rate, and compare the rule of 72 with the exact answer.

50free calculators
No sign-up. No saved inputs.
Years to double (exact)
9.01 years
Rule of 72 estimate
9 years
Difference
−0.01 years

How this is calculated

Exact doubling time is ln 2 ÷ ln(1 + rate) with yearly compounding; the rule of 72 estimates it as 72 ÷ rate. The estimate is closest at rates near 8%.

Defaults are editable examples, not current provider quotes. Results are rounded for display. These are scenarios from your inputs, not live market data or investment advice.

About the Rule of 72 calculator

The rule of 72 is a quick mental shortcut: divide 72 by the annual interest rate to estimate the years needed to double money. This calculator shows the estimate next to the exact figure.

How the Rule of 72 calculator works

Years to double ≈ 72 ÷ rate; exact = ln 2 ÷ ln(1 + rate ÷ 100)

Enter an annual rate compounded yearly. The rule is most accurate around 8% and drifts further from the exact figure at very low or very high rates.

Worked example

Annual rate
8%
Years to double (exact)
9.01 years
Rule of 72 estimate
9 years
Difference
−0.01 years

Why use a Rule of 72 calculator?

  • Compare rates quickly without a calculator.
  • See how much faster money grows at a higher rate.
  • Estimate how fast inflation halves purchasing power.

Rule of 72 calculator FAQs

Why 72?

Because 72 is close to the exact constant for typical rates and divides evenly by many numbers, which makes mental arithmetic easy.

Can it be used for inflation?

Yes. Dividing 72 by the inflation rate estimates how many years prices take to double, or money to lose half its purchasing power.

Is there a rule of 70 or 69?

Yes. They suit continuous compounding and lower rates. The exact figure in the calculator needs no rule.

Does it work for monthly compounding?

It is meant for yearly compounding. Monthly compounding doubles money slightly faster.

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