Your privacy choices

We use essential storage to remember your settings. With your permission, Google AdSense may use cookies to serve and measure ads. Privacy Policy.

Rule of 72

Estimate how many years an investment takes to double at a fixed annual return.

Built and maintained by The NumberPrism Editorial TeamEditorial policy

Your details

Results update as you type. The formula and assumptions are explained below the calculator.

Years to double

10.3 years

Exact doubling time10.2 years
Value after 10 years$19,671.51
Growth on the starting amount$9,671.51
Rule-of-72 difference0.04 years

Estimate only: the shortcut is most accurate for returns between about 6% and 10% and assumes annual compounding with no fees or tax.

Share calculator

Use this tool

Embed

What does this tool do?

The Rule of 72 divides 72 by the annual percentage return to approximate doubling time. It is a quick mental model for compound growth, not a promise of future returns.

The Formula

Doubling years ≈ 72 ÷ Annual return (%)

Frequently Asked Questions

Why 72 instead of 69?

The natural log of 2 is about 0.693, but 72 divides easily by common rates and slightly overstates doubling time, which partly offsets more frequent compounding.

Does the rule work for high returns?

Accuracy falls at very high or very low rates. Use the exact formula ln(2) ÷ ln(1 + r) when you need a precise figure.