Modelling of crude oil prices using hybrid arima-garch model

Modelling of volatile data has become the area of interest in financial tim series recently. Volatility refers to the phenomenon where the conditional variance of the time series varies over time. The objective of this study is to compare the modelling performance of Generalized Autoregressive Condi...

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Main Author: Hashim, Napishah
Format: Thesis
Language:English
Published: 2015
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Online Access:http://eprints.utm.my/id/eprint/54070/1/NapishahHashimMFS2015.pdf
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spelling my-utm-ep.540702020-10-18T06:23:09Z Modelling of crude oil prices using hybrid arima-garch model 2015-06 Hashim, Napishah QA Mathematics Modelling of volatile data has become the area of interest in financial tim series recently. Volatility refers to the phenomenon where the conditional variance of the time series varies over time. The objective of this study is to compare the modelling performance of Generalized Autoregressive Conditional Heteroscedasticity (GARCH) and hybrid ARIMA-GARCH model for the prices of crude oil. Eviews and Minitab software are used to analyze the data. The models investigated are GARCH and hybrid ARIMA-GARCH model. In parameter estimation, Maximum Likelihood Estimation (MLE) is the preferred technique for GARCH models while Ordinary Least Squares Estimation (OLS) and MLE will be used for hybrid ARIMA-GARCH models. The goodness of fit of the model is measured using Akaike’s Information Criterion (AIC). The diagnostic checking is conducted to validate the goodness of fit of the model using Jarque-Bera test, Serial Correlation test and Heteroskedasticity test. Forecasting accuracies for both models are assessed using Mean Absolute Error (MAE) and Mean Absolute Percentage Error (MAPE). The model which gives the lowest measure of error is considered to be the most appropriate model. Empirical results indicate that modelling using hybrid model has smaller AIC, MAE and MAPE values compared to GARCH model. It can be concluded that hybrid ARIMA-GARCH model is better in modelling crude oil prices data compared to GARCH model. 2015-06 Thesis http://eprints.utm.my/id/eprint/54070/ http://eprints.utm.my/id/eprint/54070/1/NapishahHashimMFS2015.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86077 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution Universiti Teknologi Malaysia
collection UTM Institutional Repository
language English
topic QA Mathematics
spellingShingle QA Mathematics
Hashim, Napishah
Modelling of crude oil prices using hybrid arima-garch model
description Modelling of volatile data has become the area of interest in financial tim series recently. Volatility refers to the phenomenon where the conditional variance of the time series varies over time. The objective of this study is to compare the modelling performance of Generalized Autoregressive Conditional Heteroscedasticity (GARCH) and hybrid ARIMA-GARCH model for the prices of crude oil. Eviews and Minitab software are used to analyze the data. The models investigated are GARCH and hybrid ARIMA-GARCH model. In parameter estimation, Maximum Likelihood Estimation (MLE) is the preferred technique for GARCH models while Ordinary Least Squares Estimation (OLS) and MLE will be used for hybrid ARIMA-GARCH models. The goodness of fit of the model is measured using Akaike’s Information Criterion (AIC). The diagnostic checking is conducted to validate the goodness of fit of the model using Jarque-Bera test, Serial Correlation test and Heteroskedasticity test. Forecasting accuracies for both models are assessed using Mean Absolute Error (MAE) and Mean Absolute Percentage Error (MAPE). The model which gives the lowest measure of error is considered to be the most appropriate model. Empirical results indicate that modelling using hybrid model has smaller AIC, MAE and MAPE values compared to GARCH model. It can be concluded that hybrid ARIMA-GARCH model is better in modelling crude oil prices data compared to GARCH model.
format Thesis
qualification_level Master's degree
author Hashim, Napishah
author_facet Hashim, Napishah
author_sort Hashim, Napishah
title Modelling of crude oil prices using hybrid arima-garch model
title_short Modelling of crude oil prices using hybrid arima-garch model
title_full Modelling of crude oil prices using hybrid arima-garch model
title_fullStr Modelling of crude oil prices using hybrid arima-garch model
title_full_unstemmed Modelling of crude oil prices using hybrid arima-garch model
title_sort modelling of crude oil prices using hybrid arima-garch model
granting_institution Universiti Teknologi Malaysia, Faculty of Science
granting_department Faculty of Science
publishDate 2015
url http://eprints.utm.my/id/eprint/54070/1/NapishahHashimMFS2015.pdf
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