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小宋宋 · 2020年09月26日

问一道题:NO.PZ2016071602000011

问题如下:

A risk manager assumes that the joint distribution of returns is multivariate normal and calculates the following risk measures for a two-asset portfolio:

If asset 2 is dropped from the portfolio, what is the reduction in portfolio VAR?

选项:

A.

USD 15.0

B.

USD 38.3

C.

USD 44.0

D.

USD 46.6

解释:

B is correct. This is 61.6 minus the portfolio VAR of asset 1 alone, which is USD 23.3, for a difference of 38.3.

着题的逻辑没有理解

2 个答案

小刘_品职助教 · 2020年10月05日

同学你好,

因为最后一列的VaR是2这个资产在这个组合中的贡献,这其中既包含了2资产本身的,也包含了2和1之间的,

所以应该直接用这个组合去除了2资产之后,只剩下了1资产,用1的 individual Var ,那剩下的VaR就是23.3了。

原来是61.6-23.3=38.3

小刘_品职助教 · 2020年09月26日

同学你好,

我猜测你可能是没懂individual VAR这一列相加为啥不等于61.6?

因为这两个资产之间是有相关性的,所以两个VaR不能直接相加得到组合的VaR。

看Var Contribution那一列就好了。

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