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世纪之龙5 · 2024年03月16日

题目和选项是什么意思

NO.PZ2022071105000013

问题如下:

A newly hired risk analyst at an investment bank is assisting in backtesting the bank’s VaR model. Currently, the

1-day VaR is estimated at the 95% confidence level but the bank is considering a change to estimating 1-day

VaR at the 99% confidence level, as recommended in the Basel framework. Which of the following statements

regarding this change is correct?

选项:

A.

The decision to accept or reject a VaR model based on backtesting results at the two-tailed 95% confidence

level is less reliable using a 99% VaR model than using a 95% VaR model.

B.

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

C.

When backtesting using a two-tailed 90% confidence level test, there is a smaller probability of incorrectly

rejecting a 95% VaR model than a 99% VaR model.

D.

Using a 99% VaR model will lower the probability of committing both type 1 and type 2 errors.

解释:

中文解析:

A是正确的。这里的考点计算VaR时用的置信度和VaR回测使用的置信度,以及这两个置信度之间的关系。使用95%的VaR置信水平比99%的置信度水平创建一个更窄的接受域,因为95%的置信度允许产生更多的异常值。这使得95%的置信度水平计算出来的VaR,在回测上比99%置信度算出来的VaR更可靠。

A is correct. 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 (namely 95%), and how they interact with one another.

Using a 95% VaR confidence level creates a narrower nonrejection region than using a

99% VaR confidence level 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 than using a 99% confidence level.

如题

1 个答案

pzqa39 · 2024年03月17日

嗨,努力学习的PZer你好:


以前是用95%的VaR置信水平,现在使用99%的VaR置信水平,问哪个选项对

 

A 95%的置信度水平计算出来的VaR,在回测上比99%置信度算出来的VaR更可靠

 

B 95%比99%置信区间更不容易被拒绝

99%的置信区间拒绝域是1%,95%的置信区间拒绝域是5%,所以95%更容易被拒绝,所以B错

 

C用90%的置信区间回测,95%比99%VaR的模型拒绝概率低

无论模型是95%VaR还是90%的VaR,只要做回测的时候使用同一个置信区间的回测模型,拒绝概率都是一样的,所以C错

 

D 用99%模型会减少type1,2错误的出现的概率

无论是99%还是95%的VaR模型,不影响type1 error的发生概率的,type 1 error的发生概率是由回测模型所决定的,当回测模型的置信区间确定之后,无论原VaR模型选择的是多少的置信区间,对于type1 error发生概率不影响,所以D错

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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