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和棋 · 2020年10月01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.

命题1.2公式分母上应该是标准误吧?我不是很明白分母上的0.01和0.99是什么,

1 个答案

小刘_品职助教 · 2020年10月02日

同学你好,

这题用z-score的公式就好,

p=0.01 1-p=0.99

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