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猫肉球 · 2022年07月30日

从选项c啥意思

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.

如题。。。。。。。。。。

1 个答案

李坏_品职助教 · 2022年07月30日

嗨,爱思考的PZer你好:


C的意思是:VaR保证了组合风险小于等于组合内每个仓位的风险之和(这个叫subadditivity,次可加性),ES无法保证这一点。


按照讲义关于subadditive的说法,VaR是不能保证组合风险小于等于各个仓位风险之和的:


而恰恰是ES可以符合次可加性:

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