Finance & planning

Rule of 72 Calculator

Compare an approximate doubling time with the exact annual-compounding calculation.

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Example result

Approximate doubling time9 years
Exact modeled doubling time
9.01 years

Assumes a constant positive rate and no contributions, fees or taxes. The approximation is less accurate at very low or high rates.

Understand the result

How to calculate it

Approximate years = 72 ÷ rate; exact years = ln(2) ÷ ln(1 + rate / 100)

Assumes a constant positive rate and no contributions, fees or taxes. The approximation is less accurate at very low or high rates.

Worked example

This is an illustrative scenario, not a market benchmark. Select “Reset to example” to reproduce it in the calculator.

Effective annual growth rate
8 %

Approximate doubling time: 9 years

Common questions

Rule of 72 FAQ

Why are the two times different?

The rule of 72 is a mental shortcut. The logarithmic result uses the exact constant annual-compounding equation.

What does this calculation leave out?

Assumes a constant positive rate and no contributions, fees or taxes. The approximation is less accurate at very low or high rates.

Are my inputs saved or sent to a server?

Calculations run in your browser. We do not send your inputs or results to our server or analytics. A comparison stays in this tab until it is refreshed. A CSV is saved only when you choose to download it. See our privacy policy for ordinary hosting and optional analytics data.

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