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Total return lies about time. CAGR doesn't.
$10,000 becoming $26,000 sounds great — until you learn it took 7 years, a 14.63% CAGR. CAGR strips the calendar out of growth so a 3-year flip and a 10-year hold can be compared honestly. This calculator gives the rate, the total return, and the rule-of-72 doubling time.
Investors use it to compare honestly: $10k → $26k in 7 years is 14.63% CAGR — the number that strips the calendar out of a good story.
CAGR is the constant annual rate that would carry the start value to the end value in the given time — (end/start)^(1/years) − 1. It matters because raw returns hide time: 160% over 7 years (14.63% CAGR) is genuinely strong, while 160% over 20 years (4.9% CAGR) barely beat inflation. It is the standard scoreboard for comparing funds, business revenue growth, real estate appreciation, and portfolio performance across different holding periods. The limitation: CAGR smooths the path — two investments with identical CAGRs can have wildly different volatility, and the metric says nothing about the drawdowns along the way. Pair it with max drawdown or standard deviation for the honest picture.
Benchmarks first: the S&P 500 has compounded near 10% nominal (about 7% real, after inflation) over long modern history — that is the bar a passive index clears with zero effort. A "good" active result: 12%+ sustained over 10+ years puts you ahead of most professional managers, who mostly fail to beat the index after fees. Berkshire Hathaway's legendary run is ~20% CAGR over six decades — the number shows why compounding dominates: 20% for 50 years turns $10,000 into $91 million, while 10% makes it $1.17 million. For business revenue, 15–20% CAGR is strong for a mature company; venture-scale startups chase 100%+ early because the doubling math demands it.
Average return adds yearly returns and divides — and it is routinely wrong for money. A portfolio up 50% then down 33% has an average return of +8.5% but an actual ending value of 100 × 1.5 × 0.67 = 100.5, a CAGR of 0.25%. The gap grows with volatility: arithmetic average always overstates compound growth, and for volatile assets (crypto, small caps) the overstatement can be several points per year. Use CAGR when measuring what actually happened to money; use average return only when describing a typical single year. If a fund advertises "average annual returns," check whether they mean arithmetic — marketing departments know exactly which number is bigger.