Rule of 72 Calculator

Find out how long it takes to double, quadruple, or 8x your money. The Rule of 72 is the simplest way to estimate compound growth — no spreadsheet needed.

Expected yearly return (e.g. 8% for stock market average)
Starting amount you plan to invest
Years to Double (Rule of 72)
Years to 4x
Years to 8x
Value After 30 Years
Year Value Multiple Milestone

What Is the Rule of 72?

The Rule of 72 is a simple mental math shortcut: divide 72 by your annual return rate to estimate how many years it takes your money to double. For example, at 8% return, 72 / 8 = 9 years to double.

It works remarkably well for rates between 2% and 20%. The formula comes from the natural logarithm of 2 (approximately 0.693) — using 72 instead of 69.3 makes mental division easier with common rates like 6%, 8%, 9%, and 12%.

For higher precision, use the exact formula: Years = ln(2) / ln(1 + r). Or for continuous compounding: Years = ln(2) / r. Our calculator uses the exact formula for accuracy while displaying the Rule of 72 estimate alongside.

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