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复合增长率(Compound annual growth rate, CAGR)是当投资收益在投资期每年末全部再投入时,从期初到期末总的投资回报率。
$$ \begin{aligned} &CAGR=\left(\frac{EB}{BB}\right)^{\frac{1}{n}}-1\\ &\textbf{where:}\\ &EB = \text{Ending balance}\\ &BB = \text{Beginning balance}\\ &n = \text{Number of years} \end{aligned} $$
计算投资复合增长率:用期末资本除以期初的资本,然后开1/n次方,结果减1。