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Archie · 2023年04月26日

backtesting var

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.

老师您好,这道题我能明白为什么选c。但是同时我也对A有疑问。百分之99的比百分之95的更容易被击穿。但是这也不正说明了A选项中的,95%的更不容易被拒绝嘛。我有点混乱,麻烦老师解答,谢谢

1 个答案

Lucky_品职助教 · 2023年04月26日

嗨,爱思考的PZer你好:


在这道题中,A选项中的"less likely to be rejected using backtesting"是指根据backtesting验证结果,更容易通过backtesting测试,而不是指VaR本身更容易被击穿。因此,A选项的含义与C选项不同,不能用来证明95% VaR较99% VaR更好或更可靠。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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