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EmilyZhou · 2024年09月23日

老师 C不对 ，是因为计算的数值不对？还是不能用数学平均来衡量？

  1. CFA I
  2. Quantitative

NO.PZ2023080903000004

问题如下：

An investor invests $3,000 annually in a financial product for four years at the following prices: $40.00, $55.00, $62.00, and $70.00. Which average price calculation is most suitable for this context?

选项：

A.

Weighted mean of $59.25

B.

Harmonic mean of $54.35

C.

Arithmetic mean of $61.75

解释：

Sum of reciprocals = 1 / 40.00 + 1 / 55.00 + 1 / 62.00 + 1 / 70.00 =0.025 + 0.01818 + 0.01613 + 0.01429 = 0.07360

Harmonic Mean = 4 / 0.07360 = 54.35

So, the harmonic mean of the given prices is approximately $54.35.

老师 C不对 ，是因为计算的数值不对？还是不能用数学平均来衡量？

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1 个答案

品职助教_七七 · 2024年09月24日

嗨，爱思考的PZer你好：


C选项（以及A选项）都不需要计算，可以直接排除。

题干中给出的定投（cost averaging strategy，每年都投固定的金额）为使用harmonic mean的背景与提示。如果选项中只有一个harmonic mean，就可以直接选择。

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虽然现在很辛苦，但努力过的感觉真的很好，加油！

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NO.PZ2023080903000004 问题如下 investor invests $3,000 annually in a financiprofor four years the following prices: $40.00, $55.00, $62.00, an$70.00. Whiaverage pricalculation is most suitable for this context? A.Weightemeof $59.25 B.Harmonic meof $54.35 C.Arithmetic meof $61.75 Sum of reciprocals = 1 / 40.00 + 1 / 55.00 + 1 / 62.00 + 1 / 70.00 =0.025 + 0.01818 + 0.01613 + 0.01429 = 0.07360Harmonic Me= 4 / 0.07360 = 54.35So, the harmonic meof the given prices is approximately $54.35. 怎么计算weight meaverage price?

2024-07-23 09:56 2 · 回答