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🌊Yuri🌊 · 2023年09月13日

问

  1. Quantitative

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.

请问geometric mean列示为

（1+62)x(1+76)x(1+84)x(1+90)再开4次根号吗？

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2 个答案

星星_品职助教 · 2023年09月17日

@🌊Yuri🌊

1）cost averaging strategy为定期投资相同的金额。这种背景直接使用harmonic mean。


2）几何平均有多种考法，比较典型的是下面这一种。本题和几何平均无关。可以在相应的题目下后续提问。

星星_品职助教 · 2023年09月15日

同学你好，

本题背景为harmonic mean下的cost averaging strategy。所以只能用调和平均数来解，不考虑几何平均。

几何平均数也不会这样出题。

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