M.Sc. Tezi Görüntüleme

Student: Hakkı GÜNGÖR
Supervisor: Prof.Dr. İhsan ÜNVER
Department: Matematik
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University, Turkey
Title of the Thesis: Stochastic Processes Used for Option Pricing
Level: M.Sc.
Acceptance Date: 26/6/2009
Number of Pages: 61
Registration Number: i2029
Summary:

      Our finance sector has gained new investment and risk management tools with

the functioning of Forward Transaction and Option Stock Market in 2005. If the option contracts that have been applied in the USA and European Countries for a long time are applied in Turkey, this will provide investors to do transactions safely, even if they do not have any stocks, they can get profit by buying or selling option contracts according to price changes of stocks.

      Main purpose of this study is the progress of option contracts, how they are priced, and the application of them on specified financial assets. Besides, by assuming that option contracts effect transactions over stock index in Forward Transaction and Option Stock Market; several conclusions have been reached by doing applications on how buyers and sellers are affected by option transactions especially during economic crisis and afterwards.

With this purpose, this study consists of three parts. On the first part, general information is given about option contracts and the right of buying-selling prices of them by using mathematical methods.The second part is allocated for the studies conducted, option contract applications are conducted on IMKB-30 stock index during 2008 crisis period and the findings are examined thoroughly. The final part of the study is the summary of basic deductable consequences followed by reference and autobiography.

      Deducted consequences have shown that option contracts are the least affected investment tools during unexpected crisis periods.

      Key words: Option, Black Scholes model, Bimomial Model, Brownian Motion, Wiener Process, Ito Process, Ito-Deblin Theory, Geometrical Brownian Motion

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