CAGR Calculator

Compound annual growth rate answers a single, deliberately simplified question: if a value had grown at exactly the same rate every single year, what would that rate have to be to get from the starting figure to the ending figure? It is a smoothing device. The real path an investment, a company’s revenue, or a population takes between two points is almost never a straight compounding line — it rises some years, falls in others — but CAGR compresses that entire noisy path into one clean, comparable number.

A common mistake is to add up each year’s percentage return and divide by the number of years — the arithmetic mean. That figure systematically overstates what actually happened to the money, because losses and gains are not symmetric in their effect on a balance. A 50% loss requires a 100% gain just to get back to even, so any sequence of returns with real volatility in it will show an arithmetic average that is higher than the compound rate that actually applies to the balance. CAGR reflects what happened to an actual dollar invested at the start; the simple average does not.

The gap between the two widens as volatility increases. Two investments can report identical average annual returns on paper and still have delivered very different outcomes to an actual investor, purely because one moved around more than the other along the way.

CAGR is at its best as a comparison tool — putting two investments, two companies, or two time periods on the same footing regardless of how erratic the path between start and end was.

Because CAGR discards all information about the path taken, a single figure works best alongside the raw data it was calculated from — the actual year-by-year values — rather than on its own. A high CAGR built on one exceptional year and several flat ones tells a very different story from the same CAGR built on steady, consistent growth, even though the formula produces an identical number for both.