Financial Mathematics

Investment Doubling Time

Compare a mental shortcut with the exact constant annual-compounding solution.

Your numbers

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Your result

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How to use this calculator

  1. Enter annual effective growth rate (%).
  2. Choose a display currency, then select Calculate. Results also update after a brief pause while you edit.
  3. Read the result with the assumptions below. Export details or save a second scenario to compare your choices.

Formula and method

Approximation=72/rate%; exact time=ln(2)/ln(1+effective rate).

Assumptions and limitations

Requires a positive constant return and no cash flows, tax or fees; no market-return prediction.

Worked example

With annual effective growth rate (%) = 6, rule of 72 estimate in years is approximately 12.

What the result means

Compare a mental shortcut with the exact constant annual-compounding solution.

Common questions

How should I interpret rule of 72 estimate in years?

Compare a mental shortcut with the exact constant annual-compounding solution.

What should I check before using this result?

Requires a positive constant return and no cash flows, tax or fees; no market-return prediction.

Methodology and transparency

Calculation specification reviewed on 2026-10-14. Mathematical implementation is tested against independent reference fixtures. This does not imply review by a licensed financial professional. Read the testing and precision policy.