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老马 · 2021年10月29日

b项为什么错了？

  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.

B也是对的啊，为什么错了

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2 个答案

袁园_品职助教 · 2022年06月05日

嗨，努力学习的PZer你好：


衡量离散程度的指标是Range，Range=最大值-最小值。Range A=31-（-39）=70；Range B=25-（-35）=60；Range C=11-（-8）=19。可以看处Stock C的range最小，B选项描述正确。Range这个指标不需要观察值是连续的，离散的也可以的

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努力的时光都是限量版，加油！

星星_品职助教 · 2021年10月30日

同学你好，

B的描述无误，计算出C的range确实三项中最小。

这道题要选择“ least accurate”

Viola欧拉 · 2022年06月03日

老师可以再进一步解释一下这里的Range是什么含义吗？就是指在2013-2017这个时间范围内的观察值吗？因为之前讲 Measures of dispersion 里面，Range我感觉是一个最大值减去最小值，而观察值应该是连续的，所以我第一个就排除了B，因为看起来这个选项是在混淆视听的。所以Range的用法和概念可以再解释一下吗？谢谢

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