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中二 · 2020年02月16日

问一道题:NO.PZ2016070202000006 [ FRM II ]

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 bank5s portfolio.

III. The bank5s exception rates for VAR may be inaccurate if the bank5s 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.

​I和II的区别能不能这样理解:因为Z实际算出来是3.5大于99%对应的2.58,所以其实是低估了风险?另外III应该怎么理解呢?

1 个答案

orange品职答疑助手 · 2020年02月16日

同学你好

1、VaR值过小,即门槛值过小,那么超过这个门槛值的数据的个数就会变大(变大成了8),导致z检验值过大。

2、命题三:银行在日间有低风险高收益的做市行为,代表它在市场交易活跃,价格持续波动,收盘价不能较好的衡量日间交易表现。而通常收益率是由收盘价计算得来,收益率不精确,从而影响VAR的计算

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