Estimate how long it takes to double your investment, calculate the required interest rate, or project future growth using the powerful Rule of 72 formula.
The chart shows how your investment grows over time with compound interest.
Choose your calculation mode below and enter the required values to estimate investment doubling time, required rate, or future value.
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The Rule of 72 is a simple mathematical formula used to estimate how long it will take for an investment to double in value at a fixed annual rate of return. By dividing 72 by the interest rate, you get an approximate number of years needed for your money to double. This rule has been used by investors, financial advisors, and economists for decades as a quick mental math tool for understanding compound interest.
The basic formula is: Years to Double = 72 ÷ Annual Interest Rate
For example, if you have an 8% annual return: 72 ÷ 8 = 9 years to double your money.
You can also rearrange the formula to find the required rate: Required Rate = 72 ÷ Target Years
For precise calculations involving actual compound interest over time, this calculator also computes: Future Value = Principal × (1 + Rate)^Years
The number 72 is used because it's highly divisible (by 2, 3, 4, 6, 8, 9, 12) making mental calculations easier. Mathematically, the natural logarithm of 2 (ln 2) ≈ 0.693, and when you solve for doubling time in continuous compounding, multiplying by 100 and rounding gives approximately 72. The Rule of 72 provides remarkably accurate approximations for interest rates between 6% and 10%.
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