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一颗自然卷 · 2019年03月02日

问一道题:NO.PZ2015121801000068 [ CFA I ]

问题如下图:

选项:

A.

B.

C.

解释:

如何理解该题,麻烦解答

2 个答案
已采纳答案

Shimin_CPA税法主讲、CFA教研 · 2019年03月03日

首先要看懂题干的表格,一共有3个资产。根据题意,一共有三种情况,每种情况发生概率相同,即发生概率都是1/3。每个资产在不同情况下会产生不同的收益。比如资产1,在第一种情况下,产生的收益率为12%;资产2,在第一种情况下,产生的收益率也是12%;资产3,在第一种情况下,产生的收益率是0%。观察表格发现,三种资产产生的收益率不外乎12%,6%,0%,所以正如表格最后一列所示,这三种资产的预期收益率都是6%(=1/3*12%+1/3*6%+1/3*0%)。

接下来,题目问的是哪对资产组合后风险减小是最小的。其实要问的就是,哪对资产组合后分散化效果是最差的。那么根据资产组合标准差的公式,要找哪两对资产收益率的相关性系数是最大的。

相关性系数反映的是两组数据变化的同步性,这里就可以用到计算器了。以A选项资产1、资产2的收益率相关性系数计算为例,打开金融计算器:[2nd][7]进入data模式,依次输入X01=12,Y01=12;X02=0,Y02=6;X03=6,Y03=0,然后[2nd][8]进入STAT模式,一直按下箭头,直到屏幕出现r=,算出来是0.5。说明两组数据的相关性系数=0.5。同理,可以计算出资产1、资产3收益率的相关性系数为-0.5,资产2、3的相关性系数为-1。最终,选择相关性系数最大的两组资产,那就是A选项了。

熊猫泰山 · 2019年04月24日

老师,这个按计算器的知识点在那一章节有提到呢?

Shimin_CPA税法主讲、CFA教研 · 2019年04月25日

早读课-How to Use Financial Calculator BA II Plus-最后一个视频

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