Hanimani: Payday

Rule of 72

Training 295 minutesrule of 72

Your brother, 38, runs a small bakery. He has $5,000 in savings, $2,000 on a credit card and a two-year-old daughter. You show him a simple trick: 72 divided by the rate.

Training goal: Do doubling math in your head

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Situation

1. Your brother's savings earn 2%. Another solid bank pays 6%.
2. The card holds $2,000 at 24%. Your brother pays the minimum.
3. An acquaintance pitches a "project": double your money in a year, guaranteed.
4. Your brother wants to keep his retirement reserve in cash for 20 years. Inflation runs about 4%.
5. Your brother sets aside $5,000 for his daughter and leaves it alone for 18 years. What will it be at 8% a year?

What you will learn

Your real-life step

Divide 72 by your savings rate and by your credit card rate. Compare the two numbers.

Questions and answers

How does the rule of 72 work?

Divide 72 by the annual rate in percent to get the approximate years to double. At 8% that is 72 / 8 = 9 years.

How accurate is the rule of 72?

For rates of 6 to 10% the error is under half a year. At very low or very high rates it gets less precise.

Does the rule of 72 work for inflation and debt?

Yes. 72 / inflation shows when prices double, and 72 / loan rate shows when an unpaid debt doubles.

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More trainings in this module

Numbers are illustrative. A game, not financial advice.