Lesson 32 · Written for kid, teen, and little
The Rule of 72
72 ÷ annual rate estimates years to double at a constant positive rate. Drag the rate and watch.
The Rule of 72 is an estimate: divide 72 by a constant positive yearly growth rate, written as a percent, to estimate years to double. At a hypothetical 7% annual rate after inflation, 72 ÷ 7 gives about 10 years. This is a model, not a promised market return. The exact doubling time differs because the rule is approximate. Rate and time work together: a higher positive rate shortens a doubling, and more years give compounding more time.
Words to know
4Rule of 72
Divide 72 by your annual growth rate (as a whole number) — that is roughly how many years for money to double. At 8%, 72 ÷ 8 = 9 years.
Growth rate
The percent your money grows each year. $100 becoming $107 is a 7% growth rate.
S&P 500 real return
The S&P 500 follows large U.S. companies. A hypothetical constant 7% annual return after inflation gives a Rule-of-72 estimate of about 10 years to double. This is an assumption, not a historical result or promise.
HYSA
A high-yield savings account pays interest at a rate set by its bank. Rates can change. At a hypothetical constant 4% annual rate before inflation, the Rule of 72 estimates about 18 years to double.
Drag the rate slider. See how a boring account beats or loses to a good one.
Years to double
36.0 yrs
Aim for this or less
10.0 yrs
Hypothetical annual rates: 0.5% gives about 144 years; 2% about 36 years; 7% about 10 years under the Rule of 72. This is an approximation, not a bank quote or promised investment return.
Annual return
2%
Move the rate to 7.5% or higher to get the estimated doubling time below 10 years.
In the full lesson
- 1True or false
- 2Drag and watch
- 3Make the call
Vine has 107 lessons like this one, each written three ways so a 7-year-old and a 17-year-old both get a version that fits.
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