Rule of 72

The fastest way to estimate how long it takes to double your money.

$
%
Doubles in ~7.2 years
Exact doubling time7.27 years
After 10 years$25,937
After 20 years$67,275
After 30 years$174,494
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What Is the Rule of 72?

The Rule of 72 is a quick mental math shortcut: divide 72 by the annual rate of return to estimate how many years it takes to double your investment.

Years to double ≈ 72 ÷ Rate%

At a 10% annual return: 72 ÷ 10 = 7.2 years to double. The exact answer (using compound interest math) is 7.27 years — remarkably close.

Doubling Time at Different Rates

Growth RateRule of 72Exact TimeExample
2% (savings)36 years35.0 yrs$10K → $20K
4% (bonds)18 years17.7 yrs$10K → $20K
7% (stocks avg)10.3 years10.2 yrs$10K → $20K
10% (S&P 500 avg)7.2 years7.3 yrs$10K → $20K
12%6 years6.1 yrs$10K → $20K
15%4.8 years5.0 yrs$10K → $20K
24%3 years3.2 yrs$10K → $20K

Works in Reverse Too

The Rule of 72 also works for inflation and depreciation. At 3% inflation, your money's purchasing power halves in 24 years. At 7% inflation, it halves in just 10 years.

Similarly, a car depreciating at 15% per year loses half its value in about 4.8 years.

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Frequently Asked Questions

72 works well because it has many divisors (1,2,3,4,6,8,9,12) making mental math easy, and it happens to closely approximate ln(2)/ln(1+r) for rates between 2-20%. For very high or very low rates, 69.3 is more accurate.
Yes. At 10% annual loss (depreciation), it takes about 7.2 years to lose half the value. Your $20,000 car at 15% depreciation = half value in ~4.8 years.
At 10% annual growth, your money doubles every 7.2 years. That means $10,000 invested at age 25 becomes $80,000 by age 47 (three doublings). A single 10% savings decision can have exponential lifetime impact.
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