Rule of 72 Calculator

Calculate in how many years your investment doubles at a given annual return using the Rule of 72 and the exact formula.

10.3 yrs

Doubling time (Rule of 72)

Rule of 7210.3 yrs
Exact doubling time10.2 yrs
Quadrupling time20.5 yrs
ℹ️ The Rule of 72 is a quick estimate: divide 72 by the annual return. Exact: ln(2)/ln(1+return).
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How long does it take for an investment to double at a given annual return? This Rule of 72 calculator answers with the quick Rule of 72 and the exact mathematical formula, and it also shows when your capital quadruples.

How the calculator works and what it’s for

What the Rule of 72 is

The Rule of 72 is a quick rule of thumb: divide 72 by your annual return to estimate the years it takes to double. At an 8% return, for instance, 72 divided by eight is about 9 years.

The exact doubling time uses the formula ln(2)/ln(1+return), which gives the mathematically correct result. The Rule of 72 stays close to it at typical return rates.

What you enter and what you get

You enter just one number: your assumed annual return as a percentage.

You get the doubling time by the Rule of 72, the exact doubling time from the formula, and the time to quadruple, which is simply doubling twice in a row.

Where it helps

The calculator illustrates the power of compounding and helps you grasp how the return rate affects how fast an investment grows.

It suits investment planning, comparing different return assumptions, and setting long-term goals.

Interpretation and tips

Even a small difference in annual return shortens the doubling time surprisingly much, because growth is exponential rather than linear.

Use a realistic return assumption and remember that inflation, taxes, and fees lengthen the real doubling time in practice.

🔄 Reviewed June 2026

Frequently asked questions

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