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Potatowpn · 2020年06月15日

问一道题:NO.PZ2020011303000053

问题如下:

A one-year project has a 3% chance of losing USD 10million, a 7% chance of losing USD 3 million, and a 90% chance of gaining USD 1 million. What are (a) the VaR and (b) the expected shortfall when the confidence level is 95% and the time horizon is one year?

选项:

解释:

VaR is USD 3 million. Expected shortfall (USD) is 10 × 0.6 + 3 × 0.4 = 7.2.

麻烦老师能否把两个问题的详细过程写一下?

1 个答案

袁园_品职助教 · 2020年06月17日

同学你好!

VAR就是直接从定义出发的,5% 的 VAR 超过了 3%,不超过 3%+7% = 10%,所以直接就是 3

ES 就是对超过VAR的值取平均,即求期望,5% 里面 3% 是 10,剩下2%是3,即10占 60% (=3%/5%)

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