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Jack · 2022年05月21日

平均數計算

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

我不太清楚,請問b哪裡錯誤

1 个答案

星星_品职助教 · 2022年05月21日

同学你好,

这道题的条件是四年里,每年都投资相同的金额(5000元),每期都投资相同的金额是需要使用harmonic mean的提示。所以B和C都是可以直接排除的。

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