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Rule of 114 Calculator

Use the Rule of 114 to estimate how long money takes to triple at a given return — or the return needed to triple in a set time — and compare with the exact answer.

Used when finding the years
Used when finding the rate

The Rule of 114 is a mental shortcut for tripling: divide 114 by the annual rate of return and you get the approximate number of years for money to grow to three times its starting value. It is the big sibling of the Rule of 72 for doubling. This calculator gives the rule-of-thumb answer, the exact answer with yearly compounding, and how far apart they are.

How to use this tool

  1. Choose whether you want the years to triple or the rate needed.
  2. Enter the annual return (for years) or the number of years you have (for the rate).
  3. Optionally enter a starting amount to see the tripled value.
  4. Compare the shortcut with the exact figure and the table of common rates.

Formula

Years to triple ≈ 114 ÷ rate

Exact: years = ln 3 ÷ ln(1 + rate / 100)

The exact tripling time for a rate i is ln 3 ÷ ln(1 + i). Since ln 3 ≈ 1.0986, a pure approximation would be 110 ÷ rate, but ln(1 + i) is a little smaller than i, so the numerator is nudged up to 114 to stay accurate around 6–10%. The same idea gives 72 for doubling (ln 2 ≈ 0.693) and 144 for quadrupling.

Example

At an 8% average return, 114 ÷ 8 = 14.25 years to triple. The exact figure with yearly compounding is 14.27 years, so the rule is off by only about nine days. A $10,000 investment would grow to about $30,000 in that time. Working backwards, tripling in 12 years needs about 114 ÷ 12 = 9.5% a year (exactly 9.59%).

Frequently asked questions

How accurate is the Rule of 114?

Very accurate between roughly 5% and 12%. At low rates it overstates the time slightly, and at high rates such as 20% it understates it — the table shows the error at each rate.

Does it work for inflation or debt?

Yes. It works for anything that compounds: at 6% inflation prices triple in about 19 years, and an unpaid balance at 19% interest triples in about 6 years.

Does it account for taxes and fees?

No. Use the return you actually keep after fees and taxes to get a realistic time.

This tool gives an estimate for general information only. It is not financial, tax, legal or medical advice — check with a qualified professional before you rely on the result.

Last updated: 2026-10-30

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