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sabrinayue · 2023年10月28日

delta normal 用协方差矩阵计算?

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.

delta normal 用协方差矩阵计算的过程可以帮忙写一下吗,理解不了

1 个答案

李坏_品职助教 · 2023年10月28日

嗨,爱思考的PZer你好:


首先根据delta normal方法,对于期权的VaR,VaR(期权) = delta * VaR(股票)。然后VaR(股票) = -(μ - Z * σ*根号T) 。这里面的μ表示股票的平均收益率,Z是标准正态分布函数的分位数,σ是股票的标准差,T是时间。

如果是股票组合的话,那么σ就要用股票组合的标准差了。

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