Ms. Higden has been offered yet another incentive scheme. She will receive a bonus of $500,000 if the stock price at the end of the year is $120 or more; otherwise she will receive nothing. (Dont ask why anyone should want to offer such an arrangement. Maybe theres some tax angle.)

What combination of options would provide these payoffs? (Hint: You need to buy a large number of options with one exercise price and sell a similar number with a different exercise price.)

Please explain how you find the answer