Turn any total gain into one comparable per-year number. Enter your beginning value, ending value and years held to get the total return and the compound annual growth rate (CAGR) — the rate that puts every investment on the same yardstick.
Answer first: the annualized return — or CAGR (compound annual growth rate) — is the single steady yearly rate that would have grown your starting amount into your ending amount. This annualized return calculator converts any total gain over any number of years into one comparable per-year figure.
CAGR = (Ending ÷ Beginning)^(1 ÷ Years) − 1
Example: $10,000 grows to $16,105.10 over 5 years. Total return is 61.05%, but the CAGR is (16,105.10 ÷ 10,000)^(1/5) − 1 = 10.00% per year. That smooth 10% is what compounded to produce the 61% total.
Why not just use total return? Because total return hides time. A 61% gain is spectacular in one year and mediocre over twenty. CAGR puts every investment on the same yearly yardstick, so you can fairly compare a stock you held for 3 years against a fund you held for 11. It's the number that lets you say "this returned 10% a year" no matter the holding period.
CAGR is not the simple average of yearly returns — and the difference matters. If an investment gains 50% then loses 50%, the simple average is 0%, but you've actually lost 25% (a $100 stake becomes $150, then $75). CAGR correctly reports that loss because it accounts for compounding. Volatility always drags the compound return below the arithmetic average, which is why steady beats streaky.
CAGR is a smoothed, single-number summary — it tells you nothing about the bumps along the way. Two investments with the same CAGR can have wildly different risk; one may have climbed steadily while the other doubled and crashed. It also ignores cash added or withdrawn mid-stream (for that you'd want a money-weighted return like IRR), as well as taxes, fees and inflation. Pair CAGR with a volatility measure for the full picture.
Reality check: CAGR is a smoothed figure that ignores volatility along the way, plus any deposits or withdrawals, taxes, fees and inflation. It summarizes the past and does not predict future returns. This is an educational calculator, not financial advice — verify your own numbers and see the U.S. SEC at investor.gov.
Use the Rule of 72 calculator to estimate doubling time, the Sharpe ratio calculator for the risk side, and the compound interest calculator to project forward.
Last updated 21 June 2026 · Written by Mustafa Bilgic. Educational only — not financial advice.
CAGR is the single constant yearly rate that would grow your starting amount into your ending amount over the period. It converts a total gain into one per-year figure so investments held for different lengths of time can be compared fairly.
Divide the ending value by the beginning value, raise the result to the power of 1 divided by the number of years, then subtract 1. For example, ($16,105.10 ÷ $10,000)^(1/5) − 1 = 10% per year.
No. CAGR accounts for compounding, while a simple average doesn't. A +50% year followed by a −50% year averages to 0% but actually loses 25% — CAGR correctly reports the loss. Volatility always pulls CAGR below the simple average.
CAGR is a smoothed number that hides the ups and downs along the way, so two investments with the same CAGR can have very different risk. It also ignores mid-period deposits or withdrawals, taxes, fees and inflation.