Rule of 72
Quick Definition
A simple formula to estimate how long an investment will take to double: divide 72 by the annual rate of return.
What Is Rule of 72?
The Rule of 72 is a quick mental math shortcut to estimate how many years it takes for an investment to double at a given annual rate of return.
Formula: Years to Double = 72 / Annual Return Rate
Examples:
- At 6% return: 72 ÷ 6 = 12 years to double
- At 8% return: 72 ÷ 8 = 9 years to double
- At 10% return: 72 ÷ 10 = 7.2 years to double
- At 12% return: 72 ÷ 12 = 6 years to double
Reverse Application: If you want your money to double in 10 years, you need: 72 ÷ 10 = 7.2% annual return
Why It Works: The rule is a simplified approximation of the compound interest formula. It's most accurate for rates between 6-10% and becomes less accurate at extreme rates.
Practical Uses:
- Quick investment comparisons
- Setting realistic expectations
- Understanding inflation's impact (at 3% inflation, purchasing power halves in 24 years)
Formula
Formula
Years to Double = 72 / Annual Return (%)Rule of 72 Example
- 17% return: money doubles every ~10 years
- 23% inflation: prices double every ~24 years
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Related Terms
Compound Interest
Interest calculated on both the initial principal and accumulated interest from previous periods, creating exponential growth over time.
Dividend
A distribution of a company's profits to shareholders, typically paid quarterly in cash or additional shares.
Passive Income
Earnings generated with minimal ongoing effort, typically from investments like dividends, rental properties, interest, or royalties.
Inflation
The rate at which the general level of prices for goods and services rises over time, reducing the purchasing power of money.
Return on Investment (ROI)
A performance metric that measures the profitability of an investment by comparing the gain or loss relative to the amount invested, expressed as a percentage.
Interest Rate
The cost of borrowing money or the return earned on savings/lending, expressed as a percentage of the principal over a specific time period.
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