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Years to double
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Enter values to calculate.
Exact doubling time
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Rule estimate
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Formulas: years = 72 / rate. Exact: ln(2) / ln(1 + rate). The rule is closest for rates between 6 and 10%.
Enter an annual return rate to see how many years it takes your money to double, rule-of-thumb and exact.
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Enter values to calculate.
Doubling time math involves logarithms, but 72 divided by the rate approximates it closely for typical returns because 72 has many divisors (2, 3, 4, 6, 8, 9, 12). At 8%, 72/8 = 9 years vs 9.01 exact.
Flip it to find the rate you need: rate = 72 / years. Want to double money in 6 years? You need about 12% annual returns. It also exposes inflation: at 3%, prices double in 24 years.