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小蜜蜂jj1 · 2022年03月26日

组合问题

  1. CFA I
  2. Portfolio

NO.PZ2015121802000021

问题如下：

Calculate the standard deviation of annual returns on an investment based on the following chart:

选项：

A.

1.2%.

B.

4.44%.

C.

19.7%.

解释：

B is correct.

Mean annual return = (4% - 3% - 4% + 3% + 6%) / 5 = 1.2%

Squared deviations from the mean:

4%-1.2%=2.8%      （2.8%）2= 7.84

-3% -1.2% = -4.2%   （-4.2%）2 = 17.64

-4% -1.2% = -5.2%   （-5.2%）2 = 27.04

3% -1.2% =1.8%    （1.8%）2= 3.24

6% -1.2% = 4.8%    （4.8%） 2= 23.04

Sum of squared deviations = 7.84 + 17.64 + 27.04 + 3.24+ 23.04 = 78.8

Sample variance = 78.8/(5 - 1) = 19.7

Sample standard deviation = 19.71/2= 4.44%

老师这道题在组合后面的练习题做到了

为什么不能用求TWRR那种几何平均直接相乘开根号减一那样算呢

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1 个答案

Kiko_品职助教 · 2022年03月26日

嗨，从没放弃的小努力你好：


这道题求得是样本标准差，你那么算求得是TWRR，是return，不一样啊。

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努力的时光都是限量版，加油！

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NO.PZ2015121802000021问题如下Calculate the stanrviation of annureturns on investment baseon the following chart:A.1.2%.B.4.44%.C.19.7%.B is correct.Meannureturn = (4% - 3% - 4% + 3% + 6%) / 5 = 1.2%Squareviations from the mean: 4%-1.2%=2.8% （2.8%）2= 7.84-3% -1.2% = -4.2% （-4.2%）2 = 17.64-4% -1.2% = -5.2% （-5.2%）2 = 27.043% -1.2% =1.8% （1.8%）2= 3.246% -1.2% = 4.8% （4.8%） 2= 23.04Sum of squareviations = 7.84 + 17.64 + 27.04 + 3.24+ 23.04 = 78.8Sample varian= 78.8/(5 - 1) = 19.7Sample stanrviation = 19.71/2= 4.44%什么时候要除n-1 什么时候除n

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