The Rule of 72 is a quick mental model for estimating how long it takes a compounding investment to double. Dividing 72 by the annual rate of return yields the number of years required. The calculator supports both directions — from rate to years and from years to rate — and shows the exact value computed from the compounding formula for comparison.
How to Use Rule of 72 Calculator
- Choose a mode: convert from a rate to doubling years, or from target years to required rate.
- Enter the annual return rate (or target years).
- Read both the Rule-of-72 estimate and the exact compounding value.
Formula & Theory - Rule of 72 Calculator
years_to_double ≈ 72 / rate_percent
rate_percent ≈ 72 / years_to_double
exact_years = ln(2) / ln(1 + rate) // precise compounding
exact_rate = 2^(1/years) - 1 // precise compounding
Use Cases for Rule of 72 Calculator
- Quickly estimate doubling time for retirement investments.
- Compare savings vehicles using a mental math shortcut.
- Teach compounding intuition to students or clients.
- Approximate inflation’s impact on purchasing power over time.