How to calculate CAGR
Durations in months are divided by 12 and in days by 365.25 to get years.
Worked example
- $10,000 grows to $16,105 over 5 years.
- CAGR = (16,105 ÷ 10,000)^(1/5) − 1 = 1.6105^0.2 − 1 = 10.0% per year.
- Doubling $10,000 in 5 years is a 14.87% CAGR; a 5× gain over 10 years is 17.46%.
How to interpret CAGR
CAGR is the single constant rate that links the start and end values. It is ideal for comparing investments over different periods, but it describes a smooth path that never happened. Two strategies with the same 12% CAGR can have completely different journeys — one with a 10% drawdown, another with 50%.
Always read CAGR next to maximum drawdown and volatility. For projecting future growth trade by trade, use the compound growth calculator.
Limitations and common mistakes
- The simple average annual return (total ÷ years) is always higher than CAGR when returns compound — don't mix the two.
- Cash added or withdrawn distorts CAGR; use money-weighted or time-weighted returns for accounts with cash flows.
- CAGR over very short periods extrapolates aggressively and is rarely meaningful.