问题如下:
A combination strategy is constructed as follows:
Long 1 call option at $3, strike price $80,
Short 2 call option each at $4, strike price $90,
Long a call option at $5, strike price $100.
Assume all the options has the same expiration date. If stock price is $105 at At expiration, then strategy will have:
选项:
A.A profit of $1.
B.zero profit.
C.A loss of $1.
D.A profit of $20.
解释:
B is correct.
考点:butterfly spread
解析:这个option的组合可以构成butterfly spread,profit计算方式如下:
Profit = [max{0, (S – XL)} – CL] + [max{0, (S – XH)} – CH] – 2[max{0, (S – XM)} – CM]=max(0, 105– 80)-3+max(0, 105– 100)-5-2[max(0, 105– 90)-4]=0
这题的解题技巧是否可以:因为st=105,组合是看涨期权,都行权。所以,long call k=80亏3块,short call k=90赚8块,long call k=100亏5块。所以total是-3+8-5=0。