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How investing works

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 idea

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.

A

Words to know

4

Rule 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.

Try it — no accountDrag and watch

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.

Drag a slider to see the shape.

In the full lesson

  1. 1True or false
  2. 2Drag and watch
  3. 3Make the call

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