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梦梦 · 2025年05月07日

关于这道题的疑问

NO.PZ2023100703000059

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:

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:


老师好,视频讲这道题时提到“一手100股,所以3万*100”,这里是不是讲错了,和多少手没关系吧,之所以乘以100,是因为股票价格是100,而不是多少手,一手是100股。

因为后面有一道3.4题,股票价格变成了52,份数就直接乘以的52,所以和多少手一手多少股没关系。

1 个答案

李坏_品职助教 · 2025年05月07日

嗨,从没放弃的小努力你好:


对,此处是老师说错了,是因为股票价格为100块钱,所以总的delta 30000 乘以股票价格100块钱。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!