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臧小玉 · 2022年01月19日

ES与Var

NO.PZ2018122701000008

问题如下:

A large commercial bank is using VaR as its main risk measurement tool. Expected shortfall (ES) is suggested as a better alternative to use during market turmoil. What should be understood regarding VaR and ES before modifying current practices?

选项:

A.

Despite being more complicated to calculate, ES is easier to backtest than VaR.

B.

Relative to VaR, ES leads to more required economic capital for the same confidence level.

C.

While VaR ensures that the estimate of portfolio risk is less than or equal to the sum of the risks of that portfolio’s positions, ES does not.

D.

Both VaR and ES account for the severity of losses beyond the confidence threshold.

解释:

B is correct.

考点 Expected Shortfall

解析 Expected shortfall is always greater than or equal to VaR for a given confidence level, since ES accounts for the severity of expected losses beyond a particular confidence level, while VaR measures the minimum expected loss at that confidence level. Therefore, ES would lead to a higher level of required economic capital than VaR for the same confidence level. In practice, however, regulators often correct for the difference between ES and VaR by lowering the required confidence level for banks using ES compared to those using VaR.

同样的confidence level 下,比如95%下es比var大,那用es的银行想降低风险资本不是应该不是应该提升cofidence level,比如从95%到99%从而减少尾部数据,从而减小es么

1 个答案

DD仔_品职助教 · 2022年01月20日

嗨,努力学习的PZer你好:


同学你好,

ES是尾部数据加权平均,虽然95%变到99%,尾部的数据个数减少了,但是他们的加权平均并不是变小了,比如说,95%尾部数据有5个(100,100,98,97,96),99%尾部数据有一个(100),加权平均之后,99%的ES是大于95%的ES的。

基础版视频section1的第一个,二倍速27mins左右,老师上课有讲解一个结论:95%ES=97.5%VaR。建议同学可以回去再听一下这部分,会更容易理解。

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