Thresholds, News Impact Surfaces and Dynamic Asymmetric Multivariate GARCH

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Facultad de CC. Económicas y Empreariales. Instituto Complutense de Análisis Económico
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DAMGARCH is a new model that extends the VARMA-GARCH model of Ling and McAleer (2003) by introducing multiple thresholds and time-dependent structure in the asymmetry of the conditional variances. Analytical expressions for the news impact surface implied by the new model are also presented. DAMGARCH models the shocks affecting the conditional variances on the basis of an underlying multivariate distribution. It is possible to model explicitly asset-specific shocks and common innovations by partitioning the multivariate density support. This paper presents the model structure, describes the implementation issues, and provides the conditions for the existence of a unique stationary solution, and for consistency and asymptotic normality of the quasi-maximum likelihood estimators. The paper also presents an empirical example to highlight the usefulness of the new model.
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Bauwens L., Laurent, S. and Rombouts, J.K.V., (2006), Multivariate GARCH models: a survey, Journal of Applied Econometrics, 21,, 79-109. Billio, M., Caporin, M. and Gobbo, M., (2006), Flexible dynamic conditional correlation multivariate GARCH for asset allocation, Applied Financial Economics Letters, 2, 123-130. Bollerslev, T., (1986), Generalized autoregressive conditional heteroskedasticity, Journal of Econometrics, 31, 307-327. Bollerslev T., (1990), Modelling the coherence in short-run nominal exchange rates: a multivariate generalized ARCH approach, Review of Economic and Statistics, 72, 498-505. Bollerslev T., Chou, R.Y. and Kroner, K. F., (1992), ARCH modeling in finance: a review of the theory and empirical evidence, Journal of Econometrics, 52, 5-59. Bollerslev T., Engle, R. F. and Nelson, D. B., (1994), ARCH models. In R.F. Engle and D. McFadden, Handbook of Econometrics, Vol. 4, Elsevier, Amsterdam, pp. 2959-3038. Bollerslev, T. and Wooldridge, J.M., (1992), Quasi-maximum likelihood estimation and inference in dynamic models with time-varying covariances, Econometric Reviews, 11, 143-172. Bougerol, P. And Picard, N., (1992), Stationarity of GARCH processes, Journal of Econometrics, 52, 115-127. Caporin, M. And McAleer, M., (2006), Dynamic asymmetric GARCH, Journal of Financial Econometrics, 4, 385-412. Caporin, M. And McAleer, M., (2008), Scalar BEKK and Indirect DCC, Journal of Forecasting,.27, 537-549. Cappiello L., Engle, R.F. And Sheppard, K., (2006), Asymmetric dynamics in the correlations of global equity and bond returns, Journal of Financial Econometrics, 4, 537-572. Comte, F. and O. Lieberman, (2003), Asymptotic theory for multivariate GARCH processes, Journal of Multivariate Analysis, 84, 61-84. De Goeij, P. And Marquering, W., (2004), Modeling the conditional covariance between stock and bond returns: a multivariate GARCH approach, Journal of Financial Econometrics, 2, 531-564. Engle, R.F., (1982), Autoregressive conditional heteroskedasticity with estimates of the variance of United Kingdom inflation, Econometrica, 50, 987-1007. Engle, R.F., (2002), Dynamic conditional correlation: a simple class of multivariate generalized autoregressive conditional heteroskedasticity models, Journal of Business and Economic Statistics, 20, 339-350. Engle, R.F. and Kroner, K.F., (1995), Multivariate simultaneous generalized ARCH, Econometric Theory, 11, 122-150. Engle, R.F. and Ng, V., (1993), Measuring and testing the impact of news on volatility, Journal of Finance, 48, 1749-1778. Glosten, L.R., Jagannathan, R. and Runkle, D.E., (1992), On the relation between the expected value and volatility of the nominal excess return on stocks, Journal of Finance, 46, 1779-1801. Hafner, C., And Herwartz, H., (1998), Time-varying market price of risk in the CAPM approaches, empirical evidence and implications, Finance, 19, 93–112. Hansson, B., And Hordahl, P., (1998), Testing the conditional CAPM using multivariate GARCHM, Applied Financial Economics, 8, 377–388. Kroner, F., And Ng, V., (1998), Modelling asymmetric comovements of asset returns, Review of Financial Studies, 11, 817–844. Jeantheau, T., (1998), Strong consistency of estimators for multivariate ARCH models, Econometric Theory, 14, 70-86. Li, W.K., Ling, S. and McAleer, M., (2002), Recent theoretical results for time series models with GARCH errors, Journal of Economic Surveys, 16, 245-269. Ling, S. and Li, W.K., (1997), Diagnostic checking of nonlinear multivariate time series with multivariate ARCH errors, Journal of Time Series Analysis, 18(5), 447-464. Ling, S. and McAleer, M., (2002a), Stationarity and the existence of moments of a family of GARCH processes, Journal of Econometrics, 106, 109-117. Ling, S. and McAleer, M., (2002b), Necessary and sufficient moment conditions for the GARCH(r,s,) and asymmetric power GARCH(r,s) models, Econometric Theory, 18, 722-729. Ling, S. and McAleer, M., (2003), Asymptotic theory for a vector ARMA-GARCH model, Econometric Theory, 19, 278-308. McAleer, M., (2005), Automated inference and learning in modeling financial volatility, Econometric Theory, 21, 232-261. McAleer, M., Chan, F., Hoti S. and Lieberman, O., (2008), Generalized autoregressive conditional correlation, Econometric Theory, 24, 1554-1583. McAleer, M., F. Chan and D. Marinova, (2007), An econometric analysis of asymmetric volatility: theory and application to patents, Journal of Econometrics, 139 (2), 259-284. McAleer, M., Hoti S. and Chan, F., (2009), Structure and asymptotic theory for multivariate asymmetric conditional volatility, Econometric Reviews, 28 (5), 422-440. Nelson, D.B., (1990), Conditional heteroskedasticity in asset pricing: a new approach, Econometrica, 59, 347-370. Rabemananjara R. and Zakoian, J.M., (1993), Threshold ARCH models and asymmetries in volatility, Journal of Applied Econometrics 8, 31-49. Tsay, R.S., (1998), Testing and modelling multivariate threshold models, Journal of the American Statistical Association, 93 (443), 1188-1202. Tse, Y.K. and Tsui, A.K.C., (2002), A multivariate generalized autoregressive conditional heteroscedasticity model with time-varying correlations, Journal of Business and Economic Statistics, 20, 351-362. Zakoian, J.M., (1994), Threshold heteroskedastic functions, Journal of Economic Dynamics and Control, 18, 931-955.