Modeling and Forecasting the Volatility of Gasoline Prices Using Symmetric and Asymmetric GARCH Models in Erbil City
DOI:
https://doi.org/10.25212/lfu.qzj.4.2.18Keywords:
Conditional Variance; Volatility Clustering; Symmetric and Asymmetric GARCH Models; Error Distribution; Volatility Forecasting; Root Mean Square Error (RMSE)..Abstract
The paper aims to compare the performance of several univariate symmetric and asymmetric GARCH volatility models in modeling and forecasting the volatility of daily Gasoline prices in Erbil city. This paper chooses the GARCH, GARCH-M, TGARCH, E-GARCH and Power GARCH model to analyze the daily return of Gasoline under three different error distributions: normal distribution, student-t distribution and generalized error distribution and then compare the results and choose the appropriate model to forecast the volatility. The sample is divided into two subsamples. The first subsample is called in-sample data set (Training sample) used to estimate the ARMA-GARCH models for underlying data and the second subsample is called out-sample data set (Testing sample) used to investigate the performance of volatility forecasting. As a result of analyses, we conclude that the best model fits the volatility of Gasoline returns series is AR(2)-Power GARCH(2,1,1) non-linear asymmetric model with innovation student-t distribution (d.f =10), and has better forecasting performance than others models. This result is important in many fields of finance such as investment decisions, asset pricing, portfolio allocation and risk management.
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References
Andersen, T. G., et al. (2009). Handbook of financial time series, Springer Science & Business Media.
Armstrong, J. S. (2001). Principles of forecasting: a handbook for researchers and practitioners, Springer Science & Business Media.
Bollerslev, T. (1986). "Generalized autoregressive conditional heteroskedasticity." Journal of econometrics31(3): 307-327.
Brockwell, P. J., et al. (2002). Introduction to time series and forecasting, Springer. Brooks, C. (2008). Introductorsy Ecinometric for Finance (Second Edi.), New York:
Cambidge University Press. Cryer, J. D. and K.-S. Chan (2008). "Time series regression models." Time series analysis: with applications in R: 249-276.
Ding, Z., et al. (1993). "A long memory property of stock market returns and a new model." Journal of empirical finance1(1): 83-106.
Enders, W. (2015). "Applied Econometrics Time Series (Fourth Edi.)." Google Scholar.
Engle, R. F. (1982). "Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation." Econometrica: Journal of the Econometric Society: 987-1007.
Engle, R. F., et al. (1987). "Estimating time varying risk premia in the term structure: The ARCH-M model." Econometrica: Journal of the Econometric Society: 391-407.
Francq, C. and J.-M. Zakoian (2011). GARCH models: structure, statistical inference and financial applications, John Wiley & Sons.
Franses, P. H. and D. Van Dijk (2000). Non-linear time series models in empirical finance, Cambridge University Press.
Glosten, L. R., et al. (1993). "On the relation between the expected value and the volatility of the nominal excess return on stocks." The journal of finance48(5): 1779-1801.
Gregoriou, G. N. (2009). Stock market volatility, CRC press. Kirchgässner, G., et al. (2012). Introduction to modern time series analysis, Springer Science & Business Media.
Lütkepohl, H., et al. (2004). Applied time series econometrics, Cambridge university press.
Montgomery, D. C., et al. (2015). Introduction to time series analysis and forecasting, John Wiley & Sons.
Nelson, D. B. (1991). "Conditional heteroskedasticity in asset returns: A new approach." Econometrica: Journal of the Econometric Society: 347-370.
Poon, S.-H. (2005). A practical guide to forecasting financial market volatility, John Wiley & Sons.
Sahoo, P. "Department of Mathematics University of Louisville Louisville, KY 40292 USA."
Satchell, S. and J. Knight (2011). Forecasting volatility in the financial markets, Elsevier.
Shumway, R. H. and D. S. Stoffer (2000). "Time series analysis and its applications." Studies In Informatics And Control9(4): 375-376.
Tsay, R. (2002). Analysis of Financial Time Series. Financial Econometrics, A WileyInterscience Publication, John Wiley & Sons, INC, New York.
Wang, P. (2005). Financial econometrics, Routledge.
William, W. W. and W. Shyong (1994). Time series analysis, Addison-Wesley, Boston, MA, USA.
Xekalaki, E. and S. Degiannakis (2010). ARCH models for financial applications, John Wiley & Sons.
Zivot, E. and J. Wang (2006). "Modelling financial time series with S-PLUS." Springer: 429- 478.
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