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天天 · 2023年07月02日

拒绝域小,异常值就多,则数据更准。咋跟我理解不同?

NO.PZ2018122701000035

问题如下:

You are backtesting a bank’s VaR model. Currently, the bank calculates a 1-day VaR at the 99% confidence level, and you are recommending that is switch to a 95% confidence level. Which of the following statements concerning this switch is correct?

选项:

A.

The 95% VaR model is less likely to be rejected using backtesting than the 99% VaR model.

B.

When validating with backtesting at the 90% confidence level, there is a smaller probability of incorrectly rejecting a 95% VaR model when it is valid than a 99% VaR model.

C.

The decision to accept or reject a VaR model based on backtesting results is more reliable with a 95% confidence level VaR model than with a 99% confidence level model.

D.

When backtesting using a 90% confidence level, there is a smaller probability of committing a type I error when backtesting a 95% VaR model than with a 99% VaR model.

解释:

C is correct.

考点 Backtesting VaR

解析 The concept tested here is the understanding of the difference between the VaR parameter for confidence (here, namely 95% vs 99%) and the validation procedure confidence level, and how they interact with one another. Using a VaR confidence level creates a narrower rejection region by allowing a greater number of exceptions to be generated. This in turn increases the power of the backtesting process and makes for a more reliable test.

Using a VaR confidence level creates a narrower rejection region by allowing a greater number of exceptions to be generated. This in turn increases the power of the backtesting process and makes for a more reliable test.

VAR 99%的拒绝域是1%,属于更窄的拒绝域,应该产生更多的异常值。进而增加回测检验的有效力,增加验证的可信赖力?

但选择C,感觉是95%会更好呢?

1 个答案

品职答疑小助手雍 · 2023年07月02日

同学你好,更窄的拒绝域异常值会更少,99%的confidence level异常值的期望比例只有1%。

这个实际上是个实证研究的结果,原版书里也提及了原因,主要是高分位的VaR太容易被击穿了,所以结果回测起来不靠谱。可以看一下本节经典题1.4的讲解,是本题原题。

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