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海伦岛主 · 2020年03月25日

问一道题: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

此处为何用2.33个标准差?我记得是2.58个?

1 个答案
已采纳答案

丹丹_品职答疑助手 · 2020年03月25日

嗨,爱思考的PZer你好:


同学你好,原版书倒有明确的说法:It is also common to use a 1% threshold,
which is 2.33 standard deviations from the expected value, and some investment managers use a one standard deviation movement (equal to a 16% VaR), both assuming a normal distribution.

这是正态分布的表,我们找到0.99对应的是2.33附近,所以是2.33.不过考试时候我们通常考查95%、99%及90%的情况,同学可以熟记这些特殊数字。


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