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阿萌酱 · 2020年08月09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.

这道题目没有看懂什么意思

1 个答案
已采纳答案

品职答疑小助手雍 · 2020年08月09日

嗨,爱思考的PZer你好:


本题的考点是各类VaR计量方式的适用环境或者说相对优缺点,题目给出的情景是一个long stock+short put的保护性看跌期权的策略。中间其实还有1995-2001互联网泡沫的隐含背景,亦即这个期间科技股的价格有明显的漂移(可以理解成价格偏差),因此要对漂移进行处理,ABC都针对性地进行了处理,除了D

full repricing就是通过历史信息和各种其他因素重新做模型定价(具体方法不要求掌握了),delta normal的方法就是通过delta mapping出组合的var,当时科技股全在大涨,相对于大盘有更高的收益,即return drift upward,所以要对这个drift在mapping时进行调整,zero drift就是不做这个调整,BD都不太对,但是相对来说D是最差的(因为题目问的是least),这道题本身就出的不好因为frm邀题制使有些题目出的比较奇怪。


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虽然现在很辛苦,但努力过的感觉真的很好,加油!