How to use the CAGR calculator
- Enter the Beginning value — what the investment was worth at the start.
- Enter the Ending value — what it is worth now.
- Enter the Years held; decimals are allowed, so 18 months is 1.5.
- Read the CAGR, along with total growth and the multiple.
Worked example
$10,000 grows to $18,000 over 5 years. Total growth is $8,000, an 80% return and a 1.80× multiple. The CAGR is 12.47% a year — the steady rate that would produce the same endpoint.
The CAGR formula
CAGR = (End ÷ Begin)1/n − 1
where n is the number of years. It is a geometric mean, not an arithmetic one, which is why you cannot simply divide total return by the years.
Why averaging yearly returns misleads
A fund up 50% then down 33% is not flat: 1.50 × 0.67 = 1.005, so the average of +50% and −33% (+8.5%) badly overstates what happened. Compounding is multiplicative, and only a geometric measure respects that.
Reading CAGR honestly
CAGR is a smoothing device. It says nothing about the path taken, the volatility, or the drawdowns along the way. Two investments can share a CAGR while feeling completely different to hold — one a steady climb, the other a round trip through a 40% loss.