A stock option is a contract which conveys to its holder the right, but not the obligation, to buy or sell shares of the underlying security at a specified price on or before a given date. This right is granted by the seller of the option. There are two types of options, calls and puts. A call option gives its holder the right to buy an underlying security, whereas a put option conveys the right to sell an underlying security. For example, an American-style XYZ Corp. May 60 call entitles the buyer to purchase 100 shares of XYZ Corp. common stock at $60 per share at.