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CHNLOVED · 2023年08月29日

VAR公式不是μ+-k倍标准差吗?为什么答案是k倍标准差-μ

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

VAR公式不是μ+-k倍标准差吗?为什么答案是k倍标准差-μ

1 个答案

星星_品职助教 · 2023年08月29日

同学你好,

VaR公式为 |μ-z×σ|×asset value,前半部分是绝对值的形式。谁减谁都无所谓,只要出来是正值即可。

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