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Fiona · 2024年01月05日

VaR expected return 转换

NO.PZ2018091701000086

问题如下:

A portfolio has daily expected return of 0.03% and standard deviation of 0.25%. Assume the portfolio’s market value is $20million, its 1% monthly VaR should be (suppose there are 21 business days in a month):

选项:

A.

$638,420

B.

$409,900

C.

$110,500

解释:

B is correct.

考点: VaR计算

解析将天化的收益和标准差转化月化E(Rp)=0.03%*21=0.63%, σp =0.25%*(21)0.5=1.15%,

VaR=$(2.33*1.15%-0.63%)*20million=$409900

请问daily retuen 转换为月度renturn为什么不是用compound rate来计算?而是直接乘以21?

1 个答案

品职助教_七七 · 2024年01月05日

嗨,爱思考的PZer你好:


这种直接乘以天数的算法基于的是平方根法则。根据这个法则得到σ比较便捷,有利于后续计算。

所以,在VaR的计算中,均值和标准差统一都按照平方根法则来算。如果daily VaR的均值和标准差是μ和σ,那么T日的VaR的均值就是T×μ,标准差是√T ×σ。不考虑其他的算法。

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