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Lance · 2023年05月22日

老师,请问可以使用H*A=G*G来做吗?

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

A=78

G=77.26

算出来H=76.52 这是为什么啊 。

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星星_品职助教 · 2023年05月22日

同学你好,

1)本题的题干背景为定期去投资固定的金额,这种情况下只能使用harmonic mean来计算。不涉及到A和G;

2)不可以使用这个关系式来计算。这个关系式只是一个定性的表达,想说明的是G的大小处于A和H之间(A>G>H)。关系式里面的A、H、G的算法和涉及到return时的算法不同,并不用于计算。

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