Rule of 72 Calculator

See exactly how many years it takes your money to double β€” or what return you'd need to double it on your timeline.

Rule of 72 Estimate 10.3 years
Precise (Exact Math) 10.24 years
Difference 0.06 years

What Is the Rule of 72?

The Rule of 72 is a mental-math shortcut for estimating how long it takes an investment to double at a given annual rate of return. Divide 72 by the rate, and the answer is roughly the number of years. At a 7% return, for example, 72 Γ· 7 β‰ˆ 10.3 years to double your money.

It works because of how compound interest behaves mathematically β€” 72 happens to divide evenly by many small, common numbers (2, 3, 4, 6, 8, 9, 12), making it far easier to calculate in your head than the actual logarithmic formula, while staying remarkably close to the real answer across realistic investment returns.

How Accurate Is It, Really?

The Rule of 72 is most accurate right around 8% β€” within a hundredth of a year. It drifts slightly the further you get from that in either direction, but stays close across the range most investors actually see:

Annual ReturnRule of 72Exact MathDifference
2%36.0 years35.0 years+1.00 yr
4%18.0 years17.7 years+0.33 yr
6%12.0 years11.9 years+0.10 yr
8%9.0 years9.01 years-0.01 yr
10%7.2 years7.27 years-0.07 yr
12%6.0 years6.12 years-0.12 yr
15%4.8 years4.96 years-0.16 yr
20%3.6 years3.80 years-0.20 yr

At low rates it slightly overestimates the time to double; at high rates it slightly underestimates. Either way, the gap stays under a year for nearly every return an actual diversified portfolio would realistically produce.

It Works in Reverse for Debt, Too

The same math applies to any balance growing at compound interest β€” including debt you're not paying down. A credit card at 24% APR would roughly double an unpaid balance in just 72 Γ· 24 = 3 years. It's a fast, sobering way to see why high-interest debt escalates so quickly if left alone.

A Related Shortcut: Rule of 114 and Rule of 144

The same logic extends further: dividing 114 by your rate estimates years to triple your money, and dividing 144 by your rate estimates years to quadruple it. At 7%, that's roughly 16.3 years to triple and 20.6 years to quadruple.

Frequently Asked Questions

What exactly is the Rule of 72?
The Rule of 72 is a quick mental-math shortcut: divide 72 by your annual interest rate to estimate how many years it takes an investment to double. At 8% annual return, for example, 72 Γ· 8 = 9 years.
How accurate is the Rule of 72?
It's most accurate around 8% annual return, where it's off by less than a hundredth of a year. At lower rates like 2-4% it slightly overestimates the time to double, and at higher rates like 15-20% it slightly underestimates it β€” but the gap stays under a year in nearly all realistic investing scenarios.
Why 72 and not some other number?
72 divides evenly by many small numbers (2, 3, 4, 6, 8, 9, 12), making it easy to calculate in your head, and it happens to land very close to the mathematically precise value (which involves natural logarithms) across the range of returns most investors actually see.
Can I use the Rule of 72 for debt instead of investments?
Yes β€” it works the same way in reverse. It can estimate how quickly a debt balance would double if left unpaid at a given interest rate, which is a sobering way to see why high-interest credit card debt grows so fast.
What return rate should I use to plan realistically?
A commonly used conservative estimate for a diversified stock-heavy portfolio is 6-7% annually after inflation. Using a lower, more conservative number protects your plan from assuming a rosier outcome than is realistic.