🎯 Rule of 72 Calculator

What is the Rule of 72?

The Rule of 72 is a quick formula to estimate how long it takes for an investment to double. Divide 72 by the annual return rate to get the approximate years to double.

📐 Rule of 72 Formula

Years to Double = 72 ÷ Annual Rate(%)

Example: 72 ÷ 8% = 9 years

Compound Interest Calculator

0%10%20%
1y25y50y
Used for the "this year vs last year" simulation.
Total Invested
$130,000.00
Total Interest Earned
+$170,851.00
Final Amount
$300,851.00

Growth Chart

You vs Average

Benchmark: U.S. long-term average return assumed at 7%

Final gap: +$0.00

This Year vs Last Year

Compares one-year outcomes using current and last-year return assumptions.

End-of-year difference: +$134.00
💰

Compound Interest Result

$300,851.00

Estimated interest: $170,851.00

Expected value after 20 years (7% annual return)

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What is Compound Interest?

Compound interest is interest calculated on both the initial principal and the accumulated interest from previous periods. Unlike simple interest, which is calculated only on the principal amount, compound interest allows your money to grow faster over time.

The Compound Interest Formula

A = P(1 + r/n)nt

A = P(1 + r/n)^(nt) where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.

The Rule of 72

The Rule of 72 is a simple way to estimate how long it will take for an investment to double. Divide 72 by your annual rate of return to get the approximate number of years. For example, at 6% annual return, your investment will double in about 72÷6=12 years.

At 7% return, your investment doubles in about 10.3 years.

How to Read the Comparison Features

  • "You vs Average": See whether your assumptions outperform or underperform a U.S. long-term baseline.
  • "This Year vs Last Year": Quantify how a rate change shifts your one-year ending value under the same contribution plan.
  • Rate and term sliders update charts in real time so you can test scenarios quickly.

Compound Interest Tips

  • Start investing early to maximize compound growth
  • Make regular contributions, even small amounts add up
  • Reinvest your earnings to accelerate growth
  • Think long-term for the best results

📊 Doubling Time by Rate

Annual RateDoubling Time4x TimeTypical Product
3%24y48ySavings
5%14.4y28.8yBonds
7%10.3y20.6yBalanced Fund
10%7.2y14.4yS&P500 ETF
12%6y12yGrowth Stocks

💡 How to Use Rule of 72

  1. Set target (e.g., 50M → 100M)
  2. Determine expected return (e.g., 7%)
  3. 72 ÷ 7 = ~10 years needed
  4. Adjust rate if timeline doesn't match
💡 Rule of 72 is most accurate for 6-10% returns. Extreme rates have larger errors.

🔢 Related Rules

  • Rule of 69.3: More accurate for continuous compounding
  • Rule of 114: Calculate time to triple
  • Rule of 144: Calculate time to quadruple

📚 Local Method & Assumption Guide

Formula Logic

Core formulas use public finance, loan, ratio, and unit conversion standards.

Source Scope

References follow publicly available standards and country-level common practices.

Assumptions

Taxes, fees, rates, and limits vary by region and institution.

Result Interpretation

Use this result as a baseline scenario. For decisions, compare with your lender quote and local tax treatment.

Locale Preset

Currency: USD

Units: imperial

Tax logic: US payroll estimate

Regulatory Note

This tool uses regional presets for estimation. Contract terms and legal limits may differ by lender, bank, or local law.

Recommended Next Actions

  • Compare at least 2-3 local providers before final submission.
  • Re-check fees, tax treatment, and prepayment clauses in writing.
  • Run a stress scenario with +1-2% interest and lower income.

Before a real financial decision, confirm with local institution rules.

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