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bg5hmd · 2023年08月12日

5.3

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.

数量5.3 这题没弄懂,为什么算数平均数不正确?


1 个答案
已采纳答案

星星_品职助教 · 2023年08月13日

同学你好,

本题的背景为 定期投资相同的金额,这种策略为cost averaging strategy,该策略只能用harmonic mean来计算。其余两种mean可以直接排除。



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NO.PZ2022123001000023问题如下 A portfolio manager invests €5,000 annually in a security for four years the prices shown in the following exhibit.The average priis best representethe: A.harmonic meof €76.48B.geometric meof €77.26C.arithmetic average of €78.00 The harmonic meis appropriate for termining the average priper unit. It is calculatesumming the reciprocals of the prices, then averaging thsum ving the number of prices, then taking the reciprocof 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?

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