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.