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过儿 · 2022年04月10日

每年投5000

  1. CFA I
  2. Quantitative

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

每年投5000，那第一年的投资权重应该是3年才对，这题不理解为什么用H来算价格平均

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1 个答案

星星_品职助教 · 2022年04月11日

同学你好，

如果题目的描述为：每年投相同的金额，这个背景下需要用Harmonic Mean来计算平均。

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