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小螃蟹 · 2023年03月02日

为什么不是用数值直接相乘然后再开五次根号,而是要用1+-最后再-1呢

NO.PZ2021061603000022

问题如下:

The following exhibit shows the annual returns for Fund Y.


The geometric mean return for Fund Y is closest to:

选项:

A.14.9% B.15.6% C.19.5%

解释:

A is correct. The geometric mean return for Fund Y is found as follows:

Fund Y= [(1 + 0.195) x (1-0.019) × (1 + 0.197) x (1 + 0.350) x (1 + 0.057)](1/5) -1 = 14.9%.

不理解

1 个答案
已采纳答案

星星_品职助教 · 2023年03月02日

同学你好,

上课时强调过,由于return可能为负,直接对return开方就可能会出现偶次方根无法开方的情况。所以统一都在return前面加1,这样可以保证根号下是正数。

小螃蟹 · 2023年03月03日

谢谢老师,回忆起来了

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