Investment Doubling Time Calculator
Calculate how long it will take for an investment to double using the Rule of 72 and exact compound interest.
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)^(nรt) 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 1โ2% 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.