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Gabriela · 2024年10月15日

为什么不能用算数平均,而用调和平均?

NO.PZ2022123001000023

问题如下:

A portfolio manager invests €5,000 annually in a security for four years at the prices shown in the following exhibit.


The average price is best represented as the:

选项:

A.

harmonic mean of €76.48

B.

geometric mean of €77.26

C.

arithmetic average of €78.00

解释:

The harmonic mean is appropriate for determining the average price per unit. It is calculated by summing the reciprocals of the prices, then averaging that sum by dividing by the number of prices, then taking the reciprocal of the average:

4/[(1/62.00) + (1/76.00) + (1/84.00) + (1/90.00)] = €76.48.

如题,为什么不能用算数平均,而用调和平均?

1 个答案

品职助教_七七 · 2024年10月15日

嗨,努力学习的PZer你好:


每年投资固定的金额对应harmonic mean下的cost averaging strategy,其实就是定投。

这个背景下需要使用调和平均,可以直接选。另外两个不用算就可以排除。

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