| Stock markets are the nerve centers of the present day global economy. Derivatives are one of the many different financial instruments traded on the stock market. Derivatives are contracts whose value depends on some underlying asset. Some examples of derivatives are options, futures and swaps. In this work we talk exclusively about options. There are many different type of options, for example, call, put, American options, European options, barrier options and many more. The valuation of these options poses an interesting statistical problem and is the subject of this thesis.;In this thesis options are classified as vanilla and exotic options and then currently available methods are described for the valuation of these options. We have implemented these methods in the R and Java programming languages and show that the modeled option price fits quite closely with their market price. |
