Plain-English definitions, reviewed by an independent investor
Rule of 72
The Rule of 72 estimates doubling time by dividing 72 by the annual return or rate.
The Rule of 72 estimates doubling time by dividing 72 by the annual return or rate.
Why investors care
It is the fastest mental math for compounding and debt.
Where people go wrong
It is an approximation, less precise at very high or low rates.
In the real market
A 25-year-old sees two options: a savings account paying 1%, where money doubles every 72 years — essentially never in a working life — and a diversified stock fund historically returning 8%, where money doubles every 9 years. Over 45 years the difference is the entire difference between retiring comfortably and retiring broke. The rule makes it visceral: a 1% return and an 8% return are not 7 percentage points apart; they are 63 years apart on the doubling clock.
Using it in practice
Use the rule to make the power of compounding concrete. It also exposes the trap of fees: a 1% higher cost on a long horizon can delay your doubling by years, which is why expense ratios matter so much.
Example in numbers
Key takeaway
The Rule of 72 is instant mental math for compounding: divide 72 by the annual rate to get doubling time. An 8% return doubles money every 9 years; a 1% return takes 72 — the difference between retiring comfortably and retiring broke. The rule works in reverse for debt, showing how fast unpaid balances double, and it exposes the trap of fees on a long horizon. It is an approximation, but for quick arithmetic it is unbeatable and unforgettable.
Frequently Asked Questions
Use for debt?
Yes — 72 ÷ interest rate shows how fast debt doubles if unpaid.
Why 72?
It is a neat number close to the math of ln(2) for quick division.
Does it work for negative returns?
Loosely; the formula loses accuracy and meaning as returns approach zero.
What about tripling?
A similar rule with 114 estimates tripling time, less commonly used.