CAGR (compound annual growth rate)

What CAGR means, the formula for compound annual growth rate, a worked example, and why it differs from the average annual return.

What it is

CAGR is the steady yearly growth rate that would turn a starting value into an ending value over a period. Real returns jump around; CAGR smooths them into one number you can compare.

CAGR = (ending value / starting value)^(1 / years) - 1

Example

$10,000 grows to $25,000 in 8 years: (25,000 / 10,000)(1/8) - 1 = 2.50.125 - 1 = 12.1% a year.

CAGR versus average return

A portfolio that gains 50% one year and loses 50% the next has an average return of 0%, but you end with $75 for every $100: a CAGR of about -13%. Volatility pulls CAGR below the average return. This gap is the same effect that hurts leveraged funds. See Volatility decay.

Using it well

  • Compare CAGRs only over the same dates.
  • Pair it with risk: Maximum drawdown and the Calmar ratio.
  • Include dividends for stocks and funds; price-only CAGR understates returns.

See also

Pages that link here: How to read a backtest, What is backtesting?

Last updated September 30, 2026. Education only, not investment advice.