How CAGR is calculated
CAGR answers the question: "what single annual growth rate, compounded every year, would take this starting value to this ending value?" It ignores the path taken in between — only the start, end, and elapsed time matter.
Why CAGR beats a simple average
Averaging yearly percentage returns is a common mistake: a 50% gain followed by a 50% loss looks like a 0% average, but the actual result is a 25% loss (multiply the two growth factors: 1.5 × 0.5 = 0.75). CAGR is calculated from the actual start and end values, so it always reflects the true compounded outcome.
Common uses
- Investment performance: comparing the annualized return of a portfolio, stock, or fund over several years.
- Business metrics: measuring revenue or user growth rate year over year.
- Goal planning: figuring out what growth rate is needed to reach a target value by a certain year.
Frequently asked questions
Does CAGR account for volatility along the way?
No — CAGR is a smoothed figure that only depends on the starting and ending values. Two investments with the same CAGR can have had very different risk profiles and year-to-year swings in between.
Can the ending value be lower than the starting value?
Yes — enter an ending value lower than the starting value to get a negative CAGR, representing an annualized decline rather than growth.