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RyanR · 2024年04月22日

C为什么是对的

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.

95%的var model 不是显著性水平更大,type I error的概率就大,所以更不可靠吗。。这么理解是哪里错了呢

1 个答案

品职答疑小助手雍 · 2024年04月22日

同学你好,这个var模型的置信度和第一类错误关系不大哈,犯错误的概率和检验var模型用什么置信度有关。

C的含义是:

VaR back testing是指将通过模型得到的VaR估算结果与实际发生的损益进行比较,以检验模型的准确性。

假设我们有100个损失值的样本数据,对于99%置信度的VaR,那么一两个或者两三个极端的exceptions,就很可能直接推翻VaR模型,这样的偶然性太大了(99%的VaR很容易被一两个极端exception击穿)。

如果是使用95%的置信度,那么至少得有5个以上甚至十几个exceptions才会推翻VaR模型,这样从统计学上更可靠。

所以95%的VaR可以容纳更多的exceptions,会比99%的VaR更可靠,这种说法是正确的。

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