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我们 · 2020年04月14日

问一道题: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 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.

请问为什么reject H0,就是VAR too low 呢?

2 个答案

袁园_品职助教 · 2020年04月21日

选项III:银行在日间有低风险高收益的做市行为,会导致 VAR 的 exception rates 不能准确反映风险。

因为通常收益率是由收盘价计算得来,而收盘价不能较好的衡量日间交易表现。

袁园_品职助教 · 2020年04月15日

同学你好!

从下图公式就可以看出来,Z值太大了,是因为分子上X太大了(就是题目中的8),也就是超过VaR的情况太多了,即 VaR is too low.

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