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Rule of 72 Calculator | How Long to Double Your Money

Updated

Rule of 72 Calculator

The Rule of 72 is a simple way to estimate how long it takes for your money to double at a given interest rate.

Formula: Years to Double = 72 ÷ Interest Rate

Quick Reference Table

Interest Rate Years to Double
2% 36 years
3% 24 years
4% 18 years
5% 14.4 years
6% 12 years
7% 10.3 years
8% 9 years
9% 8 years
10% 7.2 years
12% 6 years
15% 4.8 years

Examples

Example 1: Stock Market Returns

Average stock market returns are approximately 10% per year.

  • 72 ÷ 10 = 7.2 years to double your investment

$10,000 invested today becomes:

  • $20,000 in ~7 years
  • $40,000 in ~14 years
  • $80,000 in ~21 years
  • $160,000 in ~28 years

Example 2: Savings Account

A high-interest savings account pays 4% interest.

  • 72 ÷ 4 = 18 years to double

Example 3: GIC Investment

A 5-year GIC pays 4.5% interest.

  • 72 ÷ 4.5 = 16 years to double

The Rule of 72 for Inflation

You can also use the Rule of 72 to see how inflation erodes purchasing power:

Inflation Rate Years to Lose Half Value
2% 36 years
3% 24 years
4% 18 years
5% 14.4 years
7% 10.3 years

At 3% inflation, $100 today will only buy $50 worth of goods in 24 years.

Finding the Required Rate

You can flip the formula to find what rate you need:

Formula: Rate Needed = 72 ÷ Years to Double

Goal Rate Needed
Double in 5 years 14.4%
Double in 7 years 10.3%
Double in 10 years 7.2%
Double in 15 years 4.8%
Double in 20 years 3.6%

Why 72?

The number 72 is convenient because it has many divisors (1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72), making mental math easy. The mathematically precise number is actually 69.3 (natural log of 2 × 100), but 72 is close enough and much easier to work with.

Limitations

The Rule of 72 assumes:

  • Compound interest (interest on interest)
  • Constant rate of return
  • No additional contributions or withdrawals

For precise calculations including regular contributions, use our compound interest calculator.