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Kelly001 · 2021年12月04日

C选项为什么不正确?

NO.PZ2021061603000023

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:

A is correct. 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

C选项为什么不正确?

1 个答案

星星_品职助教 · 2021年12月04日

同学你好,

注意这道题的问法,“... invests €5,000 annually in a security for four years...”

类似于这种“每年都投固定的金额,求价格平均”的描述直接对应的是harmonic mean,不需要去考虑算术平均和几何平均。

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