Investment Doubling Time Calculator

Calculate how long it will take for an investment to double using the Rule of 72 and exact compound interest.

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Enter your values and click Calculate

Knowing how long it takes for an investment to double is one of the most intuitive ways to grasp the power of compound growth. The Rule of 72 provides a quick mental estimate: divide 72 by the annual return rate to get approximate doubling years โ€” at 8%, money doubles in about 9 years. But the Rule of 72 is only an approximation, and the error grows at very high or very low rates. This calculator shows both the Rule of 72 estimate and the mathematically exact doubling time derived from the compound interest formula. It also shows how long it takes to triple your investment, and supports four compounding frequencies (annual, quarterly, monthly, daily) to reflect real-world investment accounts. Use it to compare investment options, evaluate savings account interest, or illustrate the impact of return rate differences on long-term wealth.

How It Works

Exact doubling time = ln(2) รท (n ร— ln(1 + r/n)), where r is the annual rate as a decimal and n is the number of compounding periods per year. This formula inverts the compound interest equation FV = PV ร— (1 + r/n)^(nร—t) and solves for t when FV = 2 ร— PV. The tripling time uses the same formula with ln(3) instead of ln(2). The Rule of 72 approximates the same result as 72 รท annual rate percentage โ€” it is accurate to within 1โ€“2% for rates between 6% and 10% and less accurate outside that range. Higher compounding frequency (monthly vs annual) reduces doubling time because interest is applied and reinvested more often.

Examples

Stock Market Average
8% annual return, monthly compounding โ€” a typical index fund assumption.
Result: Exact doubling time: 8.69 years. Rule of 72: 9 years.
High Growth
12% annual return, monthly compounding โ€” aggressive portfolio assumption.
Result: Exact doubling time: 5.81 years. Rule of 72: 6 years.
Savings Account
4% annual return, monthly compounding โ€” high-yield savings account.
Result: Exact doubling time: 17.36 years. Rule of 72: 18 years.

Frequently Asked Questions

How accurate is the Rule of 72?
The Rule of 72 is very accurate for rates between 6% and 10%, where the error is less than 1%. For rates above 20% or below 3%, the approximation diverges from the exact answer by several percent. This calculator shows both so you can see the difference.
Does compounding frequency matter much?
Yes, but the effect is small at typical investment return rates. Moving from annual to monthly compounding at 8% reduces doubling time by about 0.3 years. Moving from monthly to daily compounding reduces it by another few weeks.
How do I use this to compare two investments?
Run the calculator twice โ€” once for each return rate. The difference in exact doubling years shows how much faster one investment compounds relative to the other. Even a 2% difference in return rate (say, 6% vs 8%) leads to a gap of about 3 years in doubling time.

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