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Exile · 2023年10月09日

No.PZ2021061603000023

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

请问下这个题怎么按德州计算器比较方便呢?验证答案

1 个答案

星星_品职助教 · 2023年10月10日

同学你好,

调和平均数没有直接能按出来的快捷方法。需要根据答案解析的公式逐步输入。

可以使用“1/x”这个功能加快一点速度。如“1/62”可在输入62后,按计算器第四排的“1/x”,从而得到1/62。同理,计算完分母(1/62.00) + (1/76.00) + (1/84.00) + (1/90.00)后,可直接按“1/x”取倒数,然后乘以4即可得到答案。

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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 ,

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