Random walk processes and some applications

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.