NO.PZ2020021205000045
问题如下:
A trader wants to create synthetically a nine-month European put futures option on 1 million times an index. The futures price is USD 2,500, the strike price is USD 2,400, the risk-free rate is 2%, and the volatility of the futures price is 20%. What position should the trader take in futures contracts initially? How does this differ from the position the trader would take if he or she were hedging the same nine-month European put futures option on 1 million times the index?
选项:
解释:
The delta of a long position in a put option on a futures price is e-rT[N(d1 ) - 1]. In this case:
d1== 0.3223
and delta is
[N(0.3223) - 1] = -0.368
The trader should short futures contracts on 368,000 times the index initially to match the delta of the position that is desired. If the trader were hedging 1 million put futures contracts he or she would take a long position in futures contracts on 368,000 times the index.
1.整道题要做什么不明白,麻烦老师讲解下。
2.另外, European put futures option是什么,是期货的put option?在讲义哪部分? on 1 million times an index什么意思?