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菱秋秋 · 2021年09月20日

选项C和D

NO.PZ2019052001000139

问题如下:

A profitable derivatives trading desk at a bank decides that its existing VaR model, which has been used broadly across the firm for several years, is too conservative. The existing VaR model uses a historical simulation over a three-year look-back period, weighting each day equally. A quantitative analyst in the group quickly develops a new VaR model, which uses the delta normal approach. The new model uses volatilities and correlations estimated over the past four years using the RiskMetrics EWMA method.

For testing purposes, the new model is used in parallel with the existing model for four weeks to estimate the 1-day 95% VaR. After four weeks, the new VaR model has no exceedances despite consistently estimating VaR to be considerably lower than the existing model’s estimates. The analyst argues that the lack of exceedances shows that the new model is unbiased and pressures the bank’s model evaluation team to agree. Following an overnight examination of the new model by one junior analyst instead of the customary evaluation that takes several weeks and involves a senior member of the team, the model evaluation team agrees to accept the new model for use by the desk.

Which of the following statements about the risk management implications of this replacement is correct?

选项:

A.

Delta-normal VaR is more appropriate than historical simulation VaR for assets with non-linear payoffs.

B.

Changing the look-back period and weighting scheme from three years, equally weighted, to four years, exponentially weighted, will understate the risk in the portfolio.

C.

The desk increased its exposure to model risk due to the potential for incorrect calibration and programming errors related to the new model.

D.

A 95% VaR model that generates no exceedances in four weeks is necessarily conservative.

解释:

Given the quick implementation of the new VaR model and the insufficient amount of testing that was done, the desk has increased its exposure to model risk due to the increased potential for incorrect calibration and programming errors. This situation is similar to the JP Morgan London Whale case in 2012, where a new VaR model was very quickly introduced for its Synthetic Credit Portfolio response to increasing losses and multiple exceedances of the earlier VaR model limit in the portfolio.

C不太看得懂答案,可以帮忙解释一下吗?

D:为什么说新算法其实比旧算法算出来的VaR更低,就可以说明新算法不保守呢,难道不能说明新旧算法都保守吗?

1 个答案

DD仔_品职助教 · 2021年09月20日

嗨,爱思考的PZer你好:


同学你好~

答案说的是:因为新 VaR 模型在完成的测试量不足的情况下就给应用了,implementation就是用到了实际业务中的意思,并且不正确校准incorrect calibration和编程错误programming errors的可能性增加,那么就会增加模型风险。 然后就举了个例子,2012 年的 JP Morgan伦敦鲸 London Whale 案例,新的 VaR 模型很快被应用到实际,导致投资组合中损失不断增加,多次超出之前 VaR 模型的限制。

D这个你就想现在疫情中,有俩人去投资旅游行业股票,都投100万,一个人预期自己会损失100块,一个人预期自己损失100万,那肯定是预期自己损失100万的人更保守啊,预期自己只损失100块的人太乐观了,大家都不去旅游,这种相关股票一定会跌,他肯定更不保守啊。

你当然可以觉得这俩算法都保守。。。但是。。出题人不这么觉得呀...T.T...肯定要选一定对的C呀。。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!