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🌊Yuri🌊 · 2022年11月18日

问

  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

你好，请问这道题我算出来HM是66呢

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2 个答案

星星_品职助教 · 2022年11月19日

@Yuri

1）一般题目的小数点取4位即可，偶尔可能会有衍生品的题目需要6位。

2）小数点不会严重影响到计算结果。我用保留两位小数的算法计算了一下，结果和答案解析的76.48一致。答案相差很大说明在连续按键中出了错误，可以把分母逐项分开来按一下，然后相加后再用4去除。要是答案还对不上，可以把每一项计算器的结果发上来做一一比对。

星星_品职助教 · 2022年11月18日

同学你好，

答案解析里的过程是正确的计算过程，可以对比一下自己计算和下述过程的差异。如果有问题可以继续提问。

此后提问也可附上自己的详细计算过程便于分析。



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