⏱️ Rule of 72 Calculator

Instantly calculate how long it takes to double your money at any interest rate — or find the rate you need to double in a specific number of years.

1%8%25%
Formula
72 ÷ 8%= 9.0 years
Exact (ln2/ln(1+r))9.01 years
Common Benchmarks
Savings account (0.5%)144 years
Treasury bonds (~4%)18 years
S&P 500 avg (~10%)7.2 years
Growth stocks (~15%)4.8 years
Years to Double
9.0
$10,000$20,000 at 8% per year
After Doubling
$20,000
After Triple (14 yrs)
$30,000
Compound Growth — $10,000 at 8.0%
Year 0← doubles at ~9 yrsYear 27

📋 Doubling Time Comparison

Annual RateRule of 72 (years)Exact (years)$10K becomesExample
2%36.035.00$12.2K (10yr)Savings account
3%24.023.45$13.4K (10yr)Treasury bonds
4%18.017.67$14.8K (10yr)Treasury bonds
5%14.414.21$16.3K (10yr)Corporate bonds
6%12.011.90$17.9K (10yr)Corporate bonds
7%10.310.24$19.7K (10yr)Balanced portfolio
8%9.09.01$21.6K (10yr)Balanced portfolio
9%8.08.04$23.7K (10yr)S&P 500 average
10%7.27.27$25.9K (10yr)S&P 500 average
11%6.56.64$28.4K (10yr)Growth stocks
12%6.06.12$31.1K (10yr)Growth stocks
15%4.84.96$40.5K (10yr)Aggressive growth

📚 What Is the Rule of 72?

The Rule of 72 is a simple mental math formula used by investors to estimate how long it takes for an investment to double at a given annual rate of return.

The formula: Years to Double = 72 ÷ Annual Return Rate

For example, if you earn 8% per year on your investment, it will take approximately 72 ÷ 8 = 9 years to double your money. At 12% per year, it only takes 6 years.

The rule is most accurate for rates between 2% and 15%. For rates outside this range, the Rule of 69.3 (using natural logarithm) gives a more precise result, but 72 is used because it's easily divisible by many numbers (2, 3, 4, 6, 8, 9, 12).

💡 Why Every Investor Should Know This

Fees Matter More Than You Think

A fund earning 8% with a 2% expense ratio effectively earns 6%. That means doubling in 12 years instead of 9 — 3 extra years per doubling, just from fees.

Inflation Erodes Purchasing Power

At 3% inflation, the purchasing power of your money halves every 24 years. Your investments need to outpace inflation just to break even in real terms.

Start Early, Double More

At 10% annual returns, $10K doubles roughly every 7 years. Over 35 years, that's 5 doublings: $10K → $20K → $40K → $80K → $160K → $320K.

Compare Investments Quickly

Rental property yielding 6%? Doubles in 12 years. Index fund averaging 10%? Doubles in 7.2 years. The Rule of 72 makes these comparisons instant.

📖

Learn Compound Growth

The Rule of 72 is just the beginning. Master the power of compound growth with these essential investing books.

Note: The Rule of 72 is an approximation. Actual results depend on the compounding frequency, consistency of returns, taxes, and fees. Past returns do not guarantee future performance. This calculator is for educational purposes only.

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