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Univariate and Multivariate GARCH Models Applied to the CARBS Indices

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Advances in Panel Data Analysis in Applied Economic Research (ICOAE 2017)

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Abstract

The purpose of this paper is to estimate the calibrated parameters of different univariate and multivariate generalised autoregressive conditional heteroskedasticity (GARCH) family models. It is unrealistic to assume that volatility of financial returns is constant. In the empirical analysis, the symmetric GARCH and asymmetric GJR-GARCH and EGARCH models were estimated for the CARBS (Canada, Australia, Russia, Brazil, and South Africa) indices and a global minimum variance portfolio (GMVP); the best fitting model was determined using the AIC and BIC. The asymmetric terms of the GJR-GARCH and EGARCH models indicate signs of the leverage effect. The information criterion suggests that the EGARCH model is the best fitting model for the CARBS indices and the GMVP.

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References

  • Ahmad, M. H., & Ping, P. Y. (2014). Modelling Malaysian gold using symmetric and asymmetric GARCH models. Applied Mathematical Sciences, 8(17), 817-822.

    Article  Google Scholar 

  • Alexander, C. (2001). Orthogonal GARCH. Mastering risk (Vol. 2, pp. 21–38). Harlow: Financial Times Prentice Hall.

    Google Scholar 

  • Alexander, C. (2008). Market risk analysis: Practical financial econometrics (Vol. II). Hoboken: Wiley.

    Google Scholar 

  • Asteriou, D., & Hall, S. G. (2015). Applied econometrics. Basingstoke: Palgrave Macmillan.

    Google Scholar 

  • Basher, S. A., & Sadorsky, P. (2016). Hedging emerging market stock prices with oil, gold, VIX, and bonds: A comparison between DCC, ADCC and GO-GARCH. Energy Economics, 54, 235–247.

    Article  Google Scholar 

  • Black, F. (1976). Studies of stock price volatility changes. Proceedings of the Business and Economics Section of the American Statistical Association (pp. 177–181).

    Google Scholar 

  • Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31(3), 307–327.

    Article  Google Scholar 

  • Broda, S. A., & Paolella, M. S. (2009). Chicago: A fast and accurate method for portfolio risk calculation. Journal of Financial Econometrics, 7(4), 412–436.

    Article  Google Scholar 

  • Brooks, C. (2014). Introductory econometrics for finance. Cambridge: Cambridge University Press.

    Google Scholar 

  • Caporin, M., & McAleer, M. (2011). Thresholds, news impact surfaces and dynamic asymmetric multivariate GARCH. Statistica Neerlandica, 65(2), 125–163.

    Article  Google Scholar 

  • Duncan, A. S., & Liu, G. (2009). Modelling South African currency crises as structural changes in the volatility of the rand. South African Journal of Economics, 77(3), 363–379.

    Article  Google Scholar 

  • Engle, R. (2002). Dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models. Journal of Business & Economic Statistics, 20(3), 339–350.

    Article  Google Scholar 

  • Francq, C., & Zakoian, J. M. (2011). GARCH models: Structure, statistical inference and financial applications. Somerset: Wiley.

    Google Scholar 

  • Ghalanos, A. (2012). rmgarch: Multivariate GARCH models. R package version 0.98.

    Google Scholar 

  • Ghalanos, A. (2014). rugarch: Univariate GARCH models. R package version 1.3-3.

    Google Scholar 

  • Gregoriou, G. N. (2009). Stock market volatility. Boca Raton: CRC Press.

    Book  Google Scholar 

  • Jondeau, E., Poon, S. H., & Rockinger, M. (2007). Financial modeling under non-Gaussian distributions. London: Springer Science & Business Media.

    Google Scholar 

  • Koop, G. (2006). Analysis of financial data. Oxford: Wiley.

    Google Scholar 

  • Narsoo, J. (2016). Evaluation of GARCH-type models in volatility and Value-At-Risk forecasting: Evidences from USD/MUR exchange rates. University of Mauritius Research Journal, 22, 1–17.

    Google Scholar 

  • Oberholzer, N., & Venter, P. J. (2015). Univariate GARCH models applied to the JSE/FTSE stock indices. Procedia Economics and Finance, 24, 491–500.

    Article  Google Scholar 

  • Wen, X., Guo, Y., Wei, Y., & Huang, D. (2014). How do the stock prices of new energy and fossil fuel companies correlate? Evidence from China. Energy Economics, 41, 63–75.

    Article  Google Scholar 

  • Wenneström, A. (2014). Volatility forecasting performance: Evaluation of GARCH type volatility models on nordic equity indices.

    Google Scholar 

  • Zivot, E., & Wang, J. (2007). Modeling financial time series with S-Plus (Vol. 191). New York: Springer Science & Business Media.

    Google Scholar 

Download references

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Correspondence to Coenraad C. A. Labuschagne .

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Labuschagne, C.C.A., Oberholzer, N., Venter, P.J. (2018). Univariate and Multivariate GARCH Models Applied to the CARBS Indices. In: Tsounis, N., Vlachvei, A. (eds) Advances in Panel Data Analysis in Applied Economic Research. ICOAE 2017. Springer Proceedings in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-319-70055-7_6

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