How It Works
CAGR is the geometric mean of annual growth rates over a period.
CAGR = (Final Value / Initial Value)^(1 / Years) − 1
- Formula: CAGR = (End Value / Start Value)^(1/n) − 1, where n is years.
- CAGR normalizes volatility — it represents a hypothetical constant growth rate that achieves the same end result.
- Average annual dollar gain uses simple (not compounded) division of total growth by years.
Worked Example
An investment grows from $10,000 to $18,000 over 5 years:
CAGR
(18,000/10,000)^(1/5) − 1 = 12.47%
An 80% total gain over 5 years equals a CAGR of 12.47% — meaning the investment compounded at about 12.5% per year.
Understanding CAGR
What CAGR is
CAGR stands for compound annual growth rate. It is the single, steady annual rate that would take a starting value to an ending value over a given number of years, as if it grew the same amount every year.
Real investments rarely grow in a straight line, so CAGR is a way to summarise messy, uneven results in one clean number. It answers the question: at what constant yearly rate did this grow, on average, with compounding?
Why CAGR smooths volatility
Year-to-year returns can swing widely, with strong gains in some years and losses in others. CAGR ignores that bumpiness and reports only the smoothed rate that connects the first and last values.
This smoothing is its strength and its limitation. It makes different investments easy to compare on one annual basis, but it deliberately sets aside the ups and downs that happened in between.
CAGR, average return, and total return
Total return is the overall percentage change from start to finish, with no mention of time. A simple average return adds up each year’s return and divides by the number of years, but it overstates results when returns are volatile.
CAGR is the geometric average, which respects compounding and the actual start and end values. When returns vary, CAGR sits below the simple average, and it is the figure that reflects what an investor genuinely earned.
What CAGR hides
Because CAGR only looks at two endpoints, it conceals the path between them. A steady climb and a turbulent ride that happen to finish at the same value share an identical CAGR, even though the experience of holding them is very different.
It also assumes no money was added or removed during the period. If you contributed or withdrew along the way, CAGR on the raw start and end values will not reflect your true rate of return.
Using CAGR to compare investments
CAGR shines when comparing options held for different lengths of time, since it expresses everything as one annual rate. A three-year result and a ten-year result become directly comparable once both are stated as CAGR.
It is equally useful in business for tracking how revenue, users, or market size have grown. Quoting a growth figure as a CAGR makes it clear over what period the growth occurred and how fast it compounded.
Limitations to keep in mind
CAGR is a backward-looking description, not a forecast. Past compounding tells you nothing guaranteed about future results, and projecting a historical CAGR forward can give a false sense of certainty.
It also ignores taxes, fees, and inflation unless you account for them separately. For a fuller picture, pair CAGR with a sense of the volatility involved and the real, after-cost return.
Sources & References
Figures on this page are checked against primary, authoritative sources. Links open in a new tab.