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cenwandada · 2024年07月17日

A 为啥不对呢,不理解

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.

低置信度的VAR不是可以容纳异常数据更多吗,更不容易拒绝吧

1 个答案

李坏_品职助教 · 2024年07月17日

嗨,努力学习的PZer你好:


举个例子。假设σ=0.2,μ=0.05,资产价值是100万,那么95%的VaR=-100万*(0.05-0.2*1.645) = 27.9

而99%的VaR= -100万*(0.05-0.2*2.33) = 41.6


95%的VaR绝对值更小,假设我们在做VaR backtesting的时候,发现了某几天的亏损额都在30-40万元附近,那就轻易地超过了95%的VaR算出来的27.9. 这个情况下,95%的VaR模型应该被否决(因为低估了风险)。


但是,99的VaR绝对值比较大,41.6的VaR结果没有被亏损额超过,说明99%的VaR模型没有被否决。所以应该是99%的VaR模型更不容易被否决。

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