Rule of 72 Approximation
\[t = \frac{72}{r}\]

Variables

tdoubling time in years
rannual interest rate in percent

Description

What is this formula?

The Rule of 72 is a simple approximation used to estimate the number of years required to double an investment at a fixed annual interest rate.


When to use it

Use this formula for quick mental estimates of investment growth without performing detailed compound interest calculations.


Example

If the annual interest rate is 8%:

t = 72 / 8 = 9 years

The investment will approximately double in 9 years.


Applications

Personal finance, investment education, retirement planning, and quick financial analysis.

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