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410140980 · 2022年03月04日

谱分析

NO.PZ2018122701000023

问题如下:

Which of the following is a true statement about expected shortfall (ES)?

选项:

A.

ES is a coherent spectral measure which gives equal weight to the tail quantiles

B.

ES is a coherent spectral measure which gives increasingly greater weight to higher tail quantiles

C.

ES is a coherent spectral measure but gives decreasingly less weight to higher tail quantiles

D.

ES is coherent, VaR is not coherent, and neither are spectral measures

解释:

A is correct.

考点: Coherent Risk Measures

解析: ES is a coherent spectral measure which gives equal weight to the tail quantiles. The general class is spectral measures, which contain a weighting function. Both ES and VaR are special cases of a spectral measure (the spectral function generalized both ES &VaR). Spectral measures are coherent under conditions that are met by ES but not by VaR; "Spectral" is associated with, but does not necessarily imply, coherence.

Spectral measures are coherent under conditions that are met by ES but not by VaR; "Spectral" is associated with, but does not necessarily imply, coherence.

老师能解释一下最后一句话吗

2 个答案

品职答疑小助手雍 · 2022年03月05日

同学你好,我最后说了谱风险分析不一定coherent,它就是一种把所有收益率带上权重的分析模式,比如es就是把尾巴上的损失等权重赋值,var就是把那一个点的损失赋值成100%权重。

品职答疑小助手雍 · 2022年03月04日

同学你好,最后一句话白话一点,意思是:ES是谱风险度量特殊情况,var又是ES的特殊情况,但是coherent这个属性,包含了ES情况的谱风险度量都coherent,但是var情况特殊,不coherent。 因此谱风险度量并不一定coherent(特殊情况下,比如var的度量方式的时候就不coherent。)

410140980 · 2022年03月04日

老师拿谱分析到底是指什么?就是一种符合一致性的风险度量指标的统称?

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