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Creating a Model to Forecast the Adjusted Close Price of Paddy Power PLC Shares

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Aim of the Project
My intention is to create a model in order to forecast the adjusted close price of Paddy Power PLC shares. I will examine some of the different Statistical Modelling techniques and evaluate the merits of each in turn.
I will use the Generalised Autoregressive Conditional Heteroskedasticity (GARCH) model if it is found that the variance of the time series is non-constant. My final forecasting model will primarily use the Autoregressive Integrated Moving Average (ARIMA) model to predict future closing prices of the share, with a GARCH model of the variance incorporated.
I will use the R Software to implement these methods. R is a large open source statistical software which is favoured by many professional statisticians and academics.
Data Set
I have obtained the Adjusted Daily Close Prices of Paddy Power PLC as quoted on the Irish Stock Exchange for the past 3 years, from October 15th 2008 to October 13th 2011. I believe that a sample of this size is large enough to test for statistical trends, such as seasonality. I have plotted my data set using the R software package. Figure 1 is what was generated. A sample of the data can be found in the References along with a link to an internet page containing the data.
Figure 1 Statistical Modelling Methods
Multiple Linear Regression
Regression analysis involves finding a relationship between a response variable and a number of explanatory variables. For a sample number t, with p explanatory

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