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草莓天天开心 · 2023年06月12日

这个题目的算术平均数我算出来=78 也与c一致啊,为什么不选c呢

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

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星星_品职助教 · 2023年06月12日

同学你好,

这道题目的背景为每年都投资固定的金额。这是典型的cost averaging投资策略。这种情况下只能使用harmonic mean,其实都不需要计算就可以选择出A选项。

iamqing · 2023年06月19日

这类问题,看选项的时候是否不用去验证它计算是否正确,直接选择对的策略就行?是否有必要去验证一下认为对的策略的那个数据的结论计算是否正确?

星星_品职助教 · 2023年06月19日

@iamqingqing 本题这样的题目不需要计算。

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NO.PZ2021061603000023 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 €76.48 B.geometric meof €77.26 C.arithmetic average of €78.00 A is correct. 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 请问下这个题怎么按德州计算器比较方便呢?验证答案

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NO.PZ2021061603000023 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 €76.48 B.geometric meof €77.26 C.arithmetic average of €78.00 A is correct. 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 A=78G=77.26算出来H=76.52 这是为什么啊 。

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