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Investment return (CAGR) calculator

Calculate the compound annual growth rate of an investment from its starting value, ending value and holding period.

Compound annual growth rate
12.475%
Total return over the period80%
Total gain8,000.00
Value multiple1.8×
Rule-of-72 doubling time at this rate5.772 years

CAGR answers a specific question: what single, steady annual rate would have produced this exact outcome? It smooths an irregular, lumpy investment path into one clean number, which is what makes it the standard way to compare investments with different starting points, timeframes or volatility.

CAGR = (Ending value / Starting value)^(1/years) − 1

CAGR versus total return

Total return tells you the overall percentage gain or loss — simple, but useless for comparison unless the time periods match exactly. An investment that grew 80% over 10 years and one that grew 80% over 3 years had wildly different annual performance, even though their total returns are identical. CAGR normalises for time and reveals that gap: roughly 6.1% a year in the first case, about 21.6% a year in the second.

Why CAGR is a smoothed fiction, not a lived reality

CAGR describes the equivalent of steady growth, but real investments rarely grow steadily. An investment that goes up 50%, then down 20%, then up 25% over three years has a specific CAGR — yet at no point did the investment actually grow at that steady rate in any single year. This matters because volatility itself affects real-world outcomes (through sequence-of-returns risk, for instance) in ways a single smoothed average cannot capture.

The Rule of 72

A quick mental shortcut: dividing 72 by the annual growth rate gives an approximate number of years for an investment to double. At 8% annual growth, 72/8 = 9 years to double — reasonably close to the exact logarithmic answer for rates under about 15%, and a fast way to sanity-check a CAGR result without a calculator.

What CAGR does not tell you

Two investments can have identical CAGR while carrying very different risk — one might have grown smoothly, the other might have crashed 60% and then recovered sharply. CAGR is silent on volatility, on drawdowns, and on how an investor might have reacted emotionally to the path in between. It is a useful comparison tool for outcomes, not a complete description of an investment’s behaviour.

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