M.Sc. Tezi Görüntüleme

Student: Fatma Zehra DOĞRU
Supervisor: Ass. Prof. Dr. Zafer KÜÇÜK
Department: İstatistik
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University Turkey
Title of the Thesis: Random Walk Processes And Some Applications
Level: M.Sc.
Acceptance Date: 17/8/2011
Number of Pages: 87
Registration Number: i2399
Summary:

      Random walk process is a stochastic process that is expressed with independent and identically distributed random variables. Random walk process is used in many application areas. One of the most known application areas is that change stock price movements are modeling with random walk process.

This study consists of three main sections. On the first part, general information is given about basic concepts that will be used in study. In the second part, general definition and some applications of random walk process are discussed. The last part is allocated for the studies that binomial and trinomial models applications are done and the results are research extensively.

      Random walk process is the basis of binomial and trinomial option pricing model. In the discrete time process, binomial and trinomial models examine stock price movements in a specific time period. In this study, there are some examples about these models that are analyzed by using MATLAB Graphical User Interface (GUI). As a result of this analysis, option price forecasts, call and put option price forecasts of binomial and trinomial models are calculated for the next periods. Thus it is shown that binomial and trinomial models fit random walk process.

      

Key Words: Random Walk Process, Binomial Model, Trinomial Model, Call Option, Put Option, Stock Price