Finance & Money Calculators

Rule of 72 Calculator

Estimate doubling time or required return with the Rule of 72 and compare it with the exact compound-growth calculation.

Rule of 72 Calculator — Online Calculator

Rule of 72 Calculator

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Disclaimer: This tool provides informational results only and should not be used as professional advice.

The Rule of 72 Calculator estimates the years needed to double an investment at a positive interest rate and compares the shortcut with the exact compound-growth result. It also supports estimating the rate required to double in a target number of years.

Rule-of-72 years=72Interest rate\text{Rule-of-72 years}=\frac{72}{\text{Interest rate}} Exact years=ln⁡(2)ln⁡(1+Rate/100)\text{Exact years}=\frac{\ln(2)}{\ln(1+\text{Rate}/100)}

The calculator reports the difference in days, an accuracy percentage, and a growth schedule. If no principal is supplied, the schedule uses $10,000.

Example

At 8% interest, the shortcut gives 72 / 8 = 9 years. Exact monthly-style annual compounding gives approximately ln(2) / ln(1.08) = 9.01 years.

Questions

Is the Rule of 72 exact?

No. It is a mental-math approximation that is usually more useful at moderate rates than at very low or very high rates.

Can I calculate a required rate?

Yes. Enter a target doubling period and the calculator returns the Rule-of-72 rate and exact compound rate.

Does it include taxes and fees?

No. The model uses the entered rate as a net growth assumption.

Limitations

Returns are estimates and do not predict market performance or guarantee doubling.

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