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Ruka · 2024年01月23日

有关这种题的疑问

  1. CFA I
  2. Quantitative

NO.PZ2018062016000051

问题如下：

Having collected mean returns for the three stocks, the analyst is now concerned about evaluating dispersion.Which of the following statements is least accurate?

选项：

A.

Based on the variance,Stock A has the highest dispersion.

B.

Based on the range,Stock C has the lowest dispersion.

C.

Based on the mean absolute deviation(MAD),Stock B has the highest dispersion.

解释：

C is correct.

MAD(A)=(|-39-2.4|+|31-2.4|+|12-2.4|+|-4-2.4|+|12-2.4|)/5=19.12

MAD(B)=(|-35-4.4|+|25-4.4|+|15-4.4|+|0-4.4|+|17-4.4|)/5=17.52

MAD(C)=(|6-2|+|-8-2|+|11-2|+|-2-2|+|3-2|)/5=5.6

Based on the MAD,Stock A has the highest dispersion.

该题题目是要求least accurate，即最不正确的。所以选择C。

如果遇到这种题，只能针对每个选项全部手算吗? 有没有更快的解题思路啊? 感觉手算特费时间。感觉一分多钟也算不完似的。 ：〈

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品职助教_七七 · 2024年01月23日

嗨，努力学习的PZer你好：


这道题选项给了三种衡量离散程度的方式，分别是variance，range和MAD。

首先看variance，这一项去看表格中的standard deviation就可以。不需要计算。直接比较大小后发现A选项的描述是正确的。

然后看range，range是最大值-最小值，很好算。比较后发现B选项描述也是正确的。

唯一不好算的就是C选项的MAD，但此时不需要算了，直接排除法选C为least accurate即可。


无论选项是不是按照variance，range和MAD这个顺序排列，都可以按照上面的顺序，最后一个去处理MAD。

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