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:
为啥要乘以股票的价格100,求得是组合的VaR,组合里还有option和forword,并不包含股票,为啥最后反而乘以了股票的价格?