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wilsonxu · 2021年08月28日

请老师帮忙理清几个概念,谢谢!

NO.PZ2016070202000017

问题如下:

Which of the following is most accurate with respect to delta-normal VAR?

选项:

A.

The delta-normal method provides accurate estimates of VAR for assets that can be expressed as a linear or nonlinear combination of normally distributed risk factors.

B.

The delta-normal method provides accurate estimates of VAR for options that are near or at-the-money and close to expiration.

C.

The delta-normal method provides estimates of VAR by generating a covariance matrix and measuring VAR using relatively simple matrix multiplication.

D.

The delta-normal method provides accurate estimates of VAR for options and other derivatives over ranges even if deltas are unstable.

解释:

The delta-normal approach will perform poorly with nonlinear payoffs, so answer A is false. Similarly, the approach will fail to measure risk properly for options if the delta changes, which is the case for at-the-money options, so answers B and D are false.

1、delta- normal只是一种说法(或者叫称呼的概念)?就例如用线性方式VAR(C)=delta*VAR(S),该公式与normal distribution没有关系? 2、delta-normal只考虑线性,delta- gamma则考虑到非线性,对吧? 3、以上1、2只是单个资产的说法。如果是portfolio,则在需要考虑协方差矩阵方式求解?对吗?
1 个答案
已采纳答案

李坏_品职助教 · 2021年08月28日

嗨,努力学习的PZer你好:


  1. delta-normal 方法应用的前提是资产收益率服从正态分布(normal distribution),所以带一个normal。至于这里的delta应该只是一个称呼。
  2. VAR的计算和gamma没关系,一般只有在期权的希腊字母才会考察gamma。
  3. 所谓的方差-协方差,其实指的就是delta-normal方法,也成为协方差矩阵法(因为资产很多的时候,资产组合的计算都是用电脑程序的矩阵计算的)

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