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--- invest:basic:cagr [2021/02/10 09:21]
zhwiki
+++ invest:basic:cagr [2021/02/27 04:04]
zhwiki [CAGR计算公式]
@@ Line 4: / Line 4: @@
 ===== CAGR计算公式 =====
+设终值为EB(Ending balance)，初值为BB(Beginning balance)，年数为n(Number of years)，则根据
+$$
+EB=BB(1+CAGR)^{n}
+$$
+有
 $$
 \begin{aligned}
-&CAGR=\left(\frac{EB}{BB}\right)^{\frac{1}{n}}-1\\
+CAGR &= \left(\frac{EB}{BB}\right)^{\frac{1}{n}}-1\\
-&\textbf{where:}\\
+&=TG^{\frac{1}{n}}-1 \\
-&EB = \text{Ending balance}\\
+\textbf{其中:}\\
-&BB = \text{Beginning balance}\\
+TG &= \text{总增长率(Total Growth)}\\
-&n = \text{Number of years}
 \end{aligned}
 $$

zhwiki