Exercise (options)
The owner of an option contract has the right to exercise it, and thus require that the financial transaction specified by the contract is to be carried out immediately between the two parties, whereupon the option contract is terminated. When exercising a call option, the owner of the option purchases the underlying shares (or commodities, fixed interest securities, etc.) at the strike price from the option seller, while for a put option, the owner of the option sells the underlying to the option buyer, again at the strike price.
Styles
The option style, as specified in the contract, determines when, how, and under what circumstances, the option holder may exercise it. It is at the discretion of the owner whether (and in some circumstances when) to exercise it.
European - European-style option contracts may only be exercised at the option's expiration date. Thus they can never be worth more than an American-style option with the same underlying strike price and expiration date.