What Is CAGR?
An investment grows 60% over five years. Was that good? The honest answer needs a yearly rate — and that is exactly what CAGR provides. CAGR, the compound annual growth rate, is the single steady yearly rate that would carry an investment from its starting value to its ending value, smoothing whatever bumps happened in between. This guide defines it precisely, shows the formula, works two examples, and explains what CAGR hides as well as what it reveals.
It is the standard yardstick behind phrases like "the fund returned 9% a year" — and, used carelessly, it is also how bumpy rides get made to look smooth.
The definition, without jargon
Real investments do not grow at a constant rate. They jump 22% one year, fall 9% the next, drift sideways for a while. CAGR ignores that path entirely and asks a simpler question: if this money had grown at one unchanging rate, compounded yearly, what rate would connect the beginning value to the ending value over the period? That rate is the CAGR. It is a geometric average — the correct kind of average for things that multiply rather than add.
This is deliberately not the ordinary average of the yearly returns. Averaging +50% and −50% gives 0%, yet the investor actually lost 25% of their money — the arithmetic average lies about anything that compounds. CAGR never does: it is derived only from the two endpoints and the time between them, and compounding it forward reproduces the ending value exactly.
Worked example: $10,000 becomes $16,000 in 5 years
An investment of $10,000 grows to $16,000 over five years. The total growth is 60%, which sounds like "12% a year" if you divide carelessly. The CAGR calculation says otherwise:
| Beginning value | $10,000.00 |
| Ending value | $16,000.00 |
| Total growth | 60.00% |
| Growth multiple (16,000 ÷ 10,000) | 1.60 |
| CAGR (1.601/5 − 1) | 9.86% per year |
Check it the way CAGR is meant to be checked: grow $10,000 at a steady 9.86% for five years and you land exactly on $16,000. The naive 12%-a-year answer, compounded, would have overshot to about $17,623 — the division shortcut always overstates the rate when growth compounds. A second example for scale: $25,000 growing to $41,000 over 7 years is a CAGR of 7.32% — a bigger multiple (1.64) but a lower yearly rate, because it had more years to get there. Time is always in the denominator.
A handy companion is the rule of 72: at a 9.86% CAGR, money doubles in roughly 72 ÷ 9.86 ≈ 7.3 years. If a claimed CAGR and a claimed doubling time disagree with the rule of 72, one of them is wrong.
What CAGR does not tell you
It hides the ride. Two investments can share a 9.86% CAGR while one climbed steadily and the other crashed 40% mid-period and recovered; the risk felt by the owner was completely different. It uses only two data points — shift the start or end date and the CAGR changes, which is why fund marketing chooses flattering windows. It assumes no money in or out. If you added deposits along the way, the ending value mixes your contributions with growth, and plain CAGR overstates performance; that situation calls for a money-weighted return instead. And it is not a prediction: a past CAGR describes a finished path, nothing more.
Used properly — comparing investments over identical periods, sanity-checking claimed returns, converting a total gain into a yearly rate you can weigh against savings accounts or loan rates — CAGR is the right tool. Our compound interest guide covers the mirror image: the rate at which savings grow when you are the one earning it.
Calculate a CAGR in seconds
Enter any beginning value, ending value, and number of years into the CAGR Calculator and it returns the compound annual growth rate plus the total growth — no roots or exponents by hand. For projecting deposits forward at an assumed rate, use the Compound Interest Calculator.
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Frequently asked questions
What is CAGR in simple words?
CAGR — compound annual growth rate — is the steady yearly growth rate that would take an investment from its starting value to its ending value over a given number of years. It smooths the real, bumpy path into one equivalent constant rate, so growth over different periods can be compared fairly.
How do I calculate CAGR?
Divide the ending value by the beginning value, raise the result to the power of 1 divided by the number of years, and subtract 1. $10,000 growing to $16,000 in 5 years: (1.60)^(1/5) − 1 = 9.86% per year. A CAGR calculator does the exponent for you.
Why is CAGR lower than the total growth divided by years?
Because growth compounds. Dividing 60% by 5 years suggests 12% a year, but 12% compounded for 5 years produces about 76% growth, not 60%. The true steady rate that produces exactly 60% is 9.86% — compounding does part of the work, so the rate needed is smaller.
What is the difference between CAGR and average annual return?
An arithmetic average just adds yearly returns and divides — it can claim 0% for a +50%/−50% sequence that actually lost 25% of the money. CAGR is a geometric average built from the endpoints, so compounding it forward reproduces the real ending value exactly.
Is a higher CAGR always a better investment?
Not by itself. CAGR says nothing about risk, volatility, fees, taxes, or money added along the way, and it changes with the dates chosen. Compare CAGRs only over identical periods, and weigh the smoothness of the ride alongside the rate.