Sharp Logica Tools

Finance Tools

Rule of 72 Calculator

Estimate how long it takes for an investment to double using the Rule of 72.

Years to double (Rule of 72)

9.00 years

Years to double (Exact)

9.01 years

Years to double (Rule of 69.3)

8.66 years

Required return (Rule of 72)

7.20%

Required return (Exact)

7.18%

Rule-72 error vs exact

-0.01y (-0.07%)

Rule of 72 formula: 72 / return %

Exact doubling formula: ln(2) / ln(1 + r) where r = return as decimal.

About

How it helps

The Rule of 72 is a shortcut for estimating how many years it takes an investment to double: Years to Double = 72 / Annual Return (%).

This calculator provides both the Rule of 72 estimate and the exact compound-growth estimate so you can quickly compare approximation vs precision.

It also solves the reverse question: if you want to double in a target number of years, what annual return is required under Rule of 72 and under exact compounding.

Use this for fast planning, screening, and scenario comparison. Final investment assumptions should still be validated with full cash-flow and risk modeling.

FAQ

Frequently Asked Questions

+What is the Rule of 72?

The Rule of 72 estimates years to double an investment by dividing 72 by the annual return percentage.

+Is Rule of 72 exact?

No. It is an approximation. The exact doubling-time formula is ln(2) / ln(1 + r), where r is the annual return as a decimal.

+How do I estimate required return for a target doubling period?

Use the reverse Rule of 72: Required Return (%) = 72 / Target Years. The calculator also shows the exact required return from compound-growth math.