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410140980 · 2022年03月04日

老师请问ES是怎么考虑相关性的

NO.PZ2016070202000011

问题如下:

Which of the following statements about expected shortfall (ES) is incorrect?

选项:

A.

ES provides a consistent risk measure across different positions and takes account of correlations.

B.

ES tells what to expect in bad states: It gives an idea of how bad the portfolio payoff can be expected to be if the portfolio has a bad outcome.

C.

ES-based rule is consistent with expected utility maximization if risks are ranked by a second-order stochastic dominance rule.

D.

Like VAR, ES does not always satisfy subadditivity (i.e., the risk of a portfolio must be less than or equal to the sum of the risks of its individual positions).

解释:

D is correct. ES, like VAR, does provide a consistent measure of risk that takes diversification into account, so statement Unlike VAR, however, CVAR is a sub-additive risk measure.

老师请问ES是怎么考虑相关性的

1 个答案
已采纳答案

DD仔_品职助教 · 2022年03月04日

嗨,爱思考的PZer你好:


同学你好,

ES是符合次可加性的,及组合的风险是小于等于单个资产风险相加的。

组合的收益数据求出的ES,肯定比单个资产的收益数据,求出ES后相加要小,因为ES就是根据尾部数据求均值的,尾部数据的排序是根据收益数据来排序的,组合的收益数据自然是考虑到了相关性的,那么ES的计算也考虑到了相关系。

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