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pz-stepsutake · 2020年01月23日

问一道题:NO.PZ2016070202000018

问题如下:

Which of the following statements about VAR estimation methods is wrong?

选项:

A.

The delta-normal VAR method is more reliable for portfolios that implement portfolio insurance through dynamic hedging than for portfolios that implement portfolio insurance through the purchase of put options.

B.

The full-valuation VAR method based on historical data is more reliable for large portfolios that contain significant option-like investments than the delta-normal VAR method.

C.

The delta-normal VAR method can understate the true VAR for stock portfolios when the distribution of the return of the stocks has high kurtosis.

D.

Full-valuation VAR methods based on historical data take into account nonlinear relationships between risk factors and security prices.

解释:

Full-valuation methods are more precise for portfolios with options, so answers B and D are correct. The delta-normal VAR understates the risk when distributions have fat tails, so answer C is correct. Answer A is indeed wrong. The delta-normal method will be poor for outright positions in options, or their dynamic replication.

选项A说,delta-normal的方法,用保险动态对冲,比有option的对冲方案更好。不觉得有问题啊有option的时候,用delta-normal不好,因为delta会不稳定。。能给再详细解释一下么。谢谢

2 个答案

品职答疑小助手雍 · 2020年01月24日

a说的是delta normal更适用于做动态对冲的portfolio相对于使用put option做保障的portfolio。动态对冲因为是动态的,所以整个P的价值一直在变化,你用delta-normal算var的公式不是delta*V*confidence level对应值么?这个V和delta都在变,所以公式就没法用了。当然put option那个也不好用,这样其实俩策略都不好用,不能比较。

pz-stepsutake · 2020年01月28日

老师能把选项A翻译一下么?……that implement portfolio insurance through dynamic hedging……我把insurance看成是保险。貌似不对啊~~

品职答疑小助手雍 · 2020年02月04日

下面orange说了的~那种用“insurance”的动态对冲也是用option的,就比如long stock同时short call,或者long stock同时longput。

orange品职答疑助手 · 2020年01月24日

同学你好,因为option的分布不服从正态,所以如果组合里有option的话delta-normal不适用。动态对冲也是要涉及到期权头寸的:动态对冲要用到期权来对冲,所以整个组合里肯定包含有option。这时候因为option的价值分布不服从正态分布,所以动态对冲组合的VaR也不适合用delta normal VaR来衡量

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