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Sissiwonglx · 2022年06月01日

老师，这个题通过计算器可以找到答案，但是想麻烦老师把具体的演算步骤讲一下可以吗？

  1. CFA I
  2. Quantitative

NO.PZ2015120604000050

问题如下：

The table below shows the monthly stock returns of Ivy Corp.

According to the above table , calculate the population standard deviation for Ivy Corp. returns, assuming the population has 6 observations?

选项：

A.

8.78%.

B.

8.01%.

C.

48.06%.

解释：

B is correct

σ = σ 2 = p o p u l a t i o n v a r i a n c e

Population variance is 64.2 as calculated in previous question, thus population standard deviation is 8.01, the square root of 64.2.

没搞明白absolute deviation, standard deviation, variation的区别和联系，希望老师能用这道题里的这组数据分别求一下这些值，不胜感谢！

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1 个答案

星星_品职助教 · 2022年06月01日

同学你好，

①standard deviation和variance是一组，后者是前者的平方。本题计算器得到σ=8.0139（standard deviation），直接按计算器的平方键（X^2）可以得到variance=64.2222.

②MAD（mean absolute deviation）有单独的公式，将mean约等于7.7来求，MAD结果为7

③Coefficient of Variation（CV）

用mean≈7.7和standard deviation≈8.01来计算，求得CV=standard deviation / mean =1.0403


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