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聂赫留朵夫 · 2022年07月06日

95 percent confidence level 不是1.96吗?应该选C才对啊,这题给的是90%对应的置信区间1.65.

NO.PZ2018122701000048

问题如下:

A portfolio manager owns a portfolio of options on a non-dividend paying stock RTX. The portfolio is made up of 10,000 deep in-the-money call options on RTX and 50,000 deep out-of-the money call options on RTX. The portfolio also contains 20,000 forward contracts on RTX. RTX is trading at USD 100. If the volatility of RTX is 30% per-year, which of the following amounts would be closest to the 1-day VaR of the portfolio at the 95 percent confidence level, assuming 252 trading days in a year?

选项:

A.

USD 932

B.

USD 93,263

C.

USD 111,122

D.

USD 131,892

解释:

B is correct.

考点 Mapping to Option Position

解析 We need to map the portfolio to a position in the underlying stock RTX. A deep in-the-money call has a delta of approximately 1, a deep out-of-the-money call has delta of approximately 0 and forwards have a delta of 1. The net portfolio has a delta of about 30,000 and is approximately gamma neutral. The 1-day VaR estimate at 95 percent confidence level is computed as follows:

α×S××σ×SQRT(1/T)=1.645×100×30000×0.3×SQRT(1/252)=93263

 95 percent confidence level 不是1.96吗?应该选C才对啊,这题给的是90%对应的置信区间1.65.

1 个答案
已采纳答案

李坏_品职助教 · 2022年07月06日

嗨,爱思考的PZer你好:


计算var只考虑损失部分,也就是单尾的概率。


Var是单尾的,95%为1.65,99%的是2.33,90%的数值不需要记忆(不会考)


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