Rule of 72 Calculator: How Long to Double Your Money

Enter a yearly return to see how long money takes to double, or enter the years to see the return you need. The exact answer is shown next to the shortcut.

Doubles in about

9years

Exact answer
9.01 years
Triples in
14.3 years
In months
108 months
Rule of 72 is off by
−0.01 years

The rule assumes yearly compounding. It is closest for rates between 6% and 10%.

Show working
  1. 72 ÷ 8 = 9.00
  2. Exact: ln 2 ÷ ln(1 + 0.08) = 9.01

How to use

  1. Choose "Years to double" or "Rate needed".
  2. Enter the yearly return or the number of years.
  3. Compare the quick rule-of-72 answer with the exact figure.

Good to know

Years to double ≈ 72 ÷ rate. At 8% money doubles in about 9 years; at 12% in 6. The exact answer is ln 2 ÷ ln(1 + rate), shown alongside so you can see how close the shortcut is.

The rule is most accurate for rates between about 6% and 10%. At very high rates it overstates the time slightly, and at very low rates it understates it. It assumes yearly compounding and a steady rate.

It works for inflation too: at 6% inflation prices double in about 12 years, so a fixed income halves in buying power in that time. The same idea gives the rule of 114 for tripling.

Questions

What is the rule of 72?

A shortcut: divide 72 by the yearly return to get the years needed to double your money.

How long will a PPF deposit take to double?

At 7.1%, about 10.1 years (72 ÷ 7.1); the exact figure is about 10.1 years.

What return do I need to double money in 5 years?

About 14.4% (72 ÷ 5); exactly 14.87%.

Does it work for monthly compounding?

Roughly. For monthly compounding use the effective yearly rate.

Is my data stored?

No. Everything is calculated on your device.

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