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ROI Calculator
Standalone Tool 2 of 3

Annualized ROI Calculator

What was your investment return per year over the time you held it? Compute geometric compounded annual growth rates (CAGR) across holding durations in years, months, or exact dates.

✓Fast, simple, and 100% free to use • Verified CAGR arithmetic
Compound ModelAnnualized Compounded Growth (CAGR)
Currency:

Holding Parameters

Quick Horizon & Growth Presets:
$
$
Years
CAGR Horizon BreakdownHolding: 4.0 Yrs
Principal Investment:$10,000.00
Net Gain Earned:$8,000.00
Compounded Annualized (CAGR):+15.83%

Performance Metrics

Annualized ROI (CAGR)PROFIT
+15.83%
Geometric compound rate over 4 years
Total Simple ReturnPROFIT
+80.00%
Cumulative non-annualized
Net Dollar ReturnPROFIT
$8,000.00
Crucial Distinction: Over 4 years, an overall return of 80% translates into a compounded annual growth rate (CAGR) of 15.83% per year.
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Calculation Transparency: Annualized Compounded Return (CAGR)

Annualized ROI = ((Final Value / Initial Investment) ^ (1 / Years) - 1) × 100
Applied Step: Annualized ROI = ((18,000 / 10,000) ^ (1 / 4) - 1) × 100 = 15.83%
Assumptions & Model Boundaries:
  • Values represent straightforward mathematical calculations based exclusively on the parameters entered above.
  • Excludes individual income tax, capital gains taxes, transaction slippage, and local filing requirements unless entered in fees.
  • Does not adjust for purchasing-power erosion (inflation) or risk-adjusted hurdle rates.
  • Holding period evaluated as exactly 4 years (1461 days).
  • Accounts for geometric compounding rather than simply dividing total ROI by the number of years.

The Mathematics of Compounded Annual Growth Rate (CAGR)

The Annualization Formula

Annualized return normalizes returns across varying time horizons by calculating the geometric mean growth rate:

Annualized ROI = ((Final Value / Initial Investment) ^ (1 / Years) - 1) × 100

Where Years is the elapsed duration. If an asset doubles from $10,000 to $20,000 in 5 years, the ratio is 2.0. Raising 2.0 to the power of 1/5 (0.2) gives 1.1487, or an annualized CAGR of 14.87%.

Why Simple Average Return Distorts Reality

If you simply divided 100% total gain by 5 years, you would arrive at 20.0% per year. However, if an account compounded at 20.0% annually for 5 years:

  • $10,000 × (1.20)^5 = $24,883 (Not $20,000)
  • Arithmetic averaging overstates actual performance by $4,883.

For a detailed comparison of geometric vs arithmetic returns, read our guide on Annualized ROI vs Total Return.

Need to calculate basic single-period ROI or marketing spend returns?Open Standard ROI Calculator →

Frequently Asked Questions

It directly answers: "What was my investment return per year over the time I held it?" It converts any multi-year or fractional-year return into a standardized annual compound rate (CAGR).