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Calculators / Finance / Rule of 72

Rule of 72 calculator

Compare a quick doubling-time estimate with the compound formula.

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Your result

Approximate doubling time12years
Compound doubling time11.9years

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How to calculate

Compare a quick doubling-time estimate with the compound formula.

Approximate doubling time = 72/rate; Compound doubling time = ln(2)/ln(1+rate/100)

Worked example

Annual growth rate (%): 6.

Approximate doubling time: 12 years; Compound doubling time: 11.9 years.

Assumptions and limits

No. Its error changes with the rate. Neither value guarantees an investment outcome.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

The rule-of-72 shortcut is compared with doubling time under annual compounding at a constant positive rate.

When this tool is useful

Compare a quick doubling-time estimate with the compound formula.

Understanding your inputs

InputWhat to enter
Annual growth rate (%)Enter a number of at least 0.000001 and no more than 100.

Frequently asked questions

Is the shortcut exact?

No. Its error changes with the rate. Neither value guarantees an investment outcome.