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410140980 · 2023年06月30日

delta-normal VaR

NO.PZ2018122701000026

问题如下:

Which of the following statements regarding extreme value theory (EVT) is incorrect?

选项:

A.

In contrast to conventional approaches for estimating VaR, EVT only considers the tail behavior of the distribution.

B.

Conventional approaches for estimating VaR that assume that the distribution of returns follows a unique distribution for the entire range of values may fail to properly account for the fat tails of the distribution of returns.

C.

EVT attempts to find the optimal point beyond which all values belong to the tail and then models the distribution of the tail separately.

D.

By smoothing the tail of the distribution, EVT effectively ignores extreme events and losses that can generally be labeled outliers.

解释:

D is incorrect.

考点 Extreme Value

解析 EVT only uses information in the tail, so statement a. is correct. Conventional approaches such as delta-normal VaR assume a fixed p.d.f. for the entire distribution, which may understate the extent of fat tails. So, statement b. is correct. The first step in EVT is to choose a cutoff point for the tail, then to estimate the parameters of the tail distribution, so statement c. is correct. Finally, EVT does not ignore extreme events (as long as they are in the sample).

 delta-normal VaR老师这个概念在题目中一直出现,我有点似懂非懂的感觉,它究竟是什么方法?能不能给我讲个比较明确的定义

1 个答案

李坏_品职助教 · 2023年06月30日

嗨,爱思考的PZer你好:


delta-normal method计算VAR,说的就是我们最常用的那种公式法:

VAR= -μ + Z*σ*根号T。

这种方法是假设收益率稳定的服从正态分布,但是正态分布低估了肥尾效应。这一点在EVT里面得到了解决。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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