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Measuring performance

CAGR

Also called Compound annual growth rate, Annualised return or Geometric mean

The steady yearly rate that would have turned your starting value into your ending value.

How it works

CAGR smooths a bumpy path into one number. It answers "what constant annual return would have produced this result", which is the right way to compare investments held for different lengths of time.

It is always less than or equal to the simple average of the yearly returns, and the gap grows with volatility.

Where it misleads people

CAGR describes only the two endpoints. A holding that fell 60% in the middle and recovered has the same CAGR as one that rose steadily, and they were not the same investment to live through.

Formula

CAGR = (ending value ÷ starting value)^(1 ÷ years) − 1

Worked example

$10,000 growing to $18,000 over 7 years: (1.8)^(1/7) − 1 ≈ 8.7% a year.

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