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Volatility impulse response functions for multivariate GARCH models

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  • HAFNER, Christian

    (Institut fur Statistik und Okonometrie, Wirtschaftswissenschaftliche Fakultat, Humboldt-Universitat zu Berlin, and CORE, Université catholique de Louvain)

  • HERWARTZ, Helmut

    (Institut fur Statistik und Okonometrie, Wirtschaftswissenschaftliche Fakultat, Humboldt-Universitat zu Berlin)

Abstract

In the empirical analysis of financial time series, multivariate GARCH models have been used in various forms.In most cases it is not well understood how the use of a restricted model has to be paid with loss of valuable information. We investigate the structural implications of two alternative models for the response of the conditional (co-)variances to independent shocks. The impulse response analysis, adopted to volatility models, appears to be a convenient methodology to obtain information on the interaction of financial series. We define volatility impulse response functions and provide an empirical analysis for a bivariate exchange rate series. For the analyzed series, the impulse response function of the correlation reveals strong discrepancies between the estimated diagonal and BEKK models. This indicates that the diagonality restriction may hide important structural properties of the series.

Suggested Citation

  • HAFNER, Christian & HERWARTZ, Helmut, 1998. "Volatility impulse response functions for multivariate GARCH models," LIDAM Discussion Papers CORE 1998047, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1998047
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    Cited by:

    1. Kalvinder Shields & Nilss Olekalns & Ãlan T. Henry & Chris Brooks, 2005. "Measuring the Response of Macroeconomic Uncertainty to Shocks," The Review of Economics and Statistics, MIT Press, vol. 87(2), pages 362-370, May.
    2. Hafner, Christian M., 2000. "Fourth moments of multivariate GARCH processes," SFB 373 Discussion Papers 2000,80, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    3. Manuel Carlos Nogueira & Mara Madaleno, 2022. "Are Sustainability Indices Infected by the Volatility of Stock Indices? Analysis before and after the COVID-19 Pandemic," Sustainability, MDPI, vol. 14(22), pages 1-13, November.
    4. Luis Fernando Melo Velandia & Oscar Reinaldo Becerra Camargo, 2006. "Una aproximación a la dinámica de las tasas de interés de corto plazo en Colombia a través de modelos GARCH multivariados," Borradores de Economia 366, Banco de la Republica de Colombia.
    5. Hafner, Christian M. & Rombouts, Jeroen V.K., 2007. "Semiparametric Multivariate Volatility Models," Econometric Theory, Cambridge University Press, vol. 23(2), pages 251-280, April.
    6. Walid Ben Omrane & Christian M. Hafner, 2009. "Information Spillover, Volatility and the Currency Markets for the Binary Choice Model," International Econometric Review (IER), Econometric Research Association, vol. 1(1), pages 50-62, April.
    7. Ólan T. Henry & Nilss Olekalns & Kalvinder K. Shields, 2013. "Quantifying time variation and asymmetry in measures of covariance risk: a simulation approach," Chapters, in: Adrian R. Bell & Chris Brooks & Marcel Prokopczuk (ed.), Handbook of Research Methods and Applications in Empirical Finance, chapter 18, pages 457-476, Edward Elgar Publishing.
    8. Adrian R. Bell & Chris Brooks & Marcel Prokopczuk (ed.), 2013. "Handbook of Research Methods and Applications in Empirical Finance," Books, Edward Elgar Publishing, number 14545.
    9. Płuciennik Piotr, 2012. "Influence of the American Financial Market on Other Markets During the Subprime Crisis," Folia Oeconomica Stetinensia, Sciendo, vol. 12(2), pages 19-30, December.
    10. E.Panopoulou & T. Pantelidis, 2005. "Integration at a cost: Evidence from volatility impulse response functions," Economics Department Working Paper Series n1540305, Department of Economics, National University of Ireland - Maynooth.
    11. Olan T. Henry & Nilss Olekalns & Kalvinder Shields, 2004. "Time Variation And Asymmetry In The World Price Of Covariance Risk: The Implications For International Diversification," Department of Economics - Working Papers Series 907, The University of Melbourne.

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    More about this item

    Keywords

    Multivariate GARCH; impulse response functions; exchange rate volatility.;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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