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小千 · 2020年02月17日

问一道题:NO.PZ2016070202000016

问题如下:

In early 2000, a risk manager calculates the VAR for a technology stock fund based on the past three years of data. The strategy of the fund is to buy stocks and write out-of-the-money puts. The manager needs to compute VAR. Which of the following methods would yield results that are least representative of the risks inherent in the portfolio?

选项:

A.

Historical simulation with full repricing

B.

Delta-normal VAR assuming zero drift

C.

Monte Carlo style VAR assuming zero drift with full repricing

D.

Historical simulation using delta equivalents for all positions

解释:

D is correct.

Because the portfolio has options, methods A or C based on full repricing would be appropriate. Next, recall that technology stocks had a big increase in price until March 2000. From 1996 to 1999, the NASDAQ index went from 1,300 to 4,000. This creates a positive drift in the series of returns. So, historical simulation without an adjustment for this drift would bias the simulated returns upward, thereby underestimating VAR.

1 为什么portfolio中含有option就需要repricing?

2 drift 是指截距吗?无风险收益率吗?

1 个答案

品职答疑小助手雍 · 2020年02月18日

同学你好,1.full repricing其实有点万能(但是复杂,成本高)的感觉,有期权的话上面的一些简单方法测不准的话full repricing比较靠谱。

2.不是指截距,就是字面意思——漂移,当时科技股全在大涨,相对于大盘有更高的收益,即return drift upward,因此要对漂移进行处理,否则这时候会计量的var会小