The Rule of 72
Years to Double ≈ 72 ÷ Annual Interest Rate
The Rule of 72 is a quick mental-math shortcut for estimating how long it takes an investment to double at a given fixed annual compound rate, without needing a calculator for the exact logarithmic formula.
Why 72?
The number 72 is chosen because it divides evenly by many common numbers (2, 3, 4, 6, 8, 9, 12), making the mental math easy, while still closely approximating the mathematically precise answer (which involves natural logarithms) for typical interest rates in the 6-10% range.
Practical Uses
- Quickly comparing how different investment returns affect your wealth-building timeline
- Understanding how fast debt grows at a given interest rate (the same math applies to compounding debt)
- Getting an intuitive feel for the power of compounding without complex calculations
A Note on Accuracy
The Rule of 72 is most accurate for rates between roughly 6% and 10% — at very high or very low rates, the approximation becomes less precise, and the exact formula (Years = ln(2) ÷ ln(1 + rate)) would give a more accurate answer.