Stock Price Modelling Using Generalized Wiener Process and ARIMA Model.

Abstract

The capital stock of a business entity represents the original capital paid or invested in the business by its founders. Since it is known that the stock price fluctuates in time, it is necessary to have a model to forecast the stock price in the future. In this study, stock price is assumed to follow a continous stochastic process. One of stochastic models that can be used to model the stock price is a model of generalized Wiener process. This model describes the time evolution of stock price as a stochastic variable with constant drift and variance rate. On the other hand, since stock prices data are time series data, so ARIMA model can also be used to model this phenomena and to predict the stock price in the future. Both models are estimated using a chosen set of data. The result is then used to forecast the stock price in the future time. It can be concluded that forecasting study using generalized Wiener process shows a slightly better result than the ARIMA model.