Turning $10,000 into $15,000 over 3 years is a 50% total ROI but a 14.47% annualized return. Return on investment (ROI) expresses a gain as a percentage of what was paid — (final value − cost) / cost — and because total ROI ignores time, the calculator also annualizes it as a compound annual growth rate (CAGR), which makes returns over different periods comparable.
Suppose you put the default values into ROI Calculator:
Plug those into the formula ROI = (V − C) / C · 100; CAGR = (V/C)^(1/t) − 1 and the result is:
Two standard formulas from the Investopedia reference. Total ROI is the net gain divided by the initial cost, times 100 — a pure percentage with no time dimension. The annualized figure is the compound annual growth rate, (V/C)^(1/t) − 1: the single yearly rate that would compound the cost into the final value over the holding period. The calculator deliberately ignores everything between the endpoints — dividends, added capital, taxes, and fees — so it is exact for a buy-and-hold position with no interim cash flows and an approximation for anything else.
References: Investopedia: ROI.
Last reviewed July 2, 2026 · Editorial policy