Put and Call Option Agreement is a financial contract between two parties, the option purchaser (or holder) and the option seller (or writer). It gives the holder the right, but not the obligation, to buy (call) or sell (put) an underlying asset (such as a stock, commodity, currency, or index) at a predetermined price (strike price) during a specified period of time (expiration date). The seller, on the other hand, is obligated to buy or sell the underlying asset if the holder exercises the option. There are two types of Put and Call Option Agreements: American-style and European-style. American-style options allow the holder to exercise the option anytime before the expiration date, while European-style options can only be exercised on the expiration date itself.