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Colin · 2021年08月30日

能解释一下Ⅲ吗?有点没太明白

NO.PZ2016070202000006

问题如下:

Tycoon Bank announced that there were eight days in the previous year for which losses exceeded the daily 99% VAR. As a result, concerns emerged about the accuracy of the VAR implementation. Assuming that there are 250 days in the year, which of the following statements is/are correct?

I. Using a two-tailed 99% confidence level z-score test, the current VAR implementation understates the actual risk in the bank's portfolio.

II. Using a two-tailed 99% confidence level z-score test, the current VAR implementation overstates the actual risk in the bank's portfolio.

III. The bank's exception rates for VAR may be inaccurate if the bank's portfolio changes incorporate the returns from low-risk but highly profitable intraday market making activities.

IV. If these eight exceptions all happened in the previous month, the model should be reexamined for faulty assumptions and invalid parameters.

选项:

A.

I and III

B.

I, III, and IV

C.

Ill only

D.

I, II, and IV

解释:

  1. The z-score gives 82.5250×0.01×0.99=3.5\frac{8-2.5}{\sqrt{250\times0.01\times0.99}}=3.5 This is too high (greater than 2.58), which leads to rejection of the null that the VAR model is well calibrated. Hence, VAR is too low and statement I. is correct. Statement II. is incorrect. However, this may be due to intraday trading, so III. is correct, too. Finally, if all eight exceptions occurred in the last month, there is bunching, and the model should be reexamined, so IV. is correct.

能解释一下Ⅲ吗?有点没太明白

1 个答案

DD仔_品职助教 · 2021年08月30日

嗨,从没放弃的小努力你好:


同学你好~

III其实是在陈述这个VaR模型的估计可能会不准确的情况,exception rate就是例外的个数,III的意思是,如果银行的日内交易发生变化,可能会导致VaR模型在估计例外的个数时不准确,这个变化是包含了low risk但是highly profitable的产品。

具体这个变化是什么不是重点,重点是因为有intraday trading日内交易,那么头寸会在一天之内发生变化,所以会导致VaR模型估计不准确。

同学可以看下讲义这里,在基础讲义第65页,VaR的回测这里列出了4个会导致VaR模型不准确的四个原因,第三个原因就是日内交易会导致VaR模型不准确。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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