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Measuring Persistence in Volatility Spillovers

  • Conrad, Christian
  • Weber, Enzo

This paper analyzes volatility spillovers in multivariate GARCH-type models. We show that the cross-effects between the conditional variances determine the persistence of the transmitted volatility innovations. In particular, the effect of a foreign volatility innovation on a conditional variance is even more persistent than the effect of an own innovation unless it is offset by an accompanying negative variance spillover of sufficient size. Moreover, ignoring a negative variance spillover causes a downward bias in the estimate of the initial impact of the foreign volatility innovation. Applying the concept to portfolios of small and large firms, we find that shocks to small firm returns affect the large firm conditional variance once we allow for (negative) spillovers between the conditional variances themselves.

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Paper provided by University of Heidelberg, Department of Economics in its series Working Papers with number 0543.

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Date of creation: 12 Apr 2013
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Handle: RePEc:awi:wpaper:0543
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  1. Enzo Weber, 2007. "Volatility and Causality in Asia Pacific Financial Markets," SFB 649 Discussion Papers SFB649DP2007-004, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  2. Weber, Enzo, 2009. "Structural Conditional Correlation," University of Regensburg Working Papers in Business, Economics and Management Information Systems 434, University of Regensburg, Department of Economics.
  3. Heung Wong & W. Li & Shiqing Ling, 2005. "Joint modeling of cointegration and conditional heteroscedasticity with applications," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 57(1), pages 83-103, March.
  4. N. T. Laopodis, 2003. "Stochastic behaviour of Deutsche mark exchange rates within EMS," Applied Financial Economics, Taylor & Francis Journals, vol. 13(9), pages 665-676.
  5. Christian Conrad & Menelaos Karanasos, 2008. "Negative Volatility Spillovers in the Unrestricted ECCC-GARCH Model," KOF Working papers 08-189, KOF Swiss Economic Institute, ETH Zurich.
  6. Nakatani, Tomoaki & Teräsvirta, Timo, 2007. "Positivity Constraints on the Conditional Variances in the Family of Conditional Correlation GARCH Models," SSE/EFI Working Paper Series in Economics and Finance 675, Stockholm School of Economics, revised 15 Nov 1007.
  7. Ross, Stephen A, 1989. " Information and Volatility: The No-Arbitrage Martingale Approach to Timing and Resolution Irrelevancy," Journal of Finance, American Finance Association, vol. 44(1), pages 1-17, March.
  8. Abdul Hakim & Michael McAleer, 2009. "Modelling the Interactions Across International Stock, Bond and Foreign Exchange Markets," CIRJE F-Series CIRJE-F-663, CIRJE, Faculty of Economics, University of Tokyo.
  9. Patricia Chelley-Steeley & James Steeley, 2005. "The leverage effect in the UK stock market," Applied Financial Economics, Taylor & Francis Journals, vol. 15(6), pages 409-423.
  10. Conrad, Jennifer & Gultekin, Mustafa N & Kaul, Gautam, 1991. "Asymmetric Predictability of Conditional Variances," Review of Financial Studies, Society for Financial Studies, vol. 4(4), pages 597-622.
  11. He, Changli & Ter svirta, Timo, 2004. "An Extended Constant Conditional Correlation Garch Model And Its Fourth-Moment Structure," Econometric Theory, Cambridge University Press, vol. 20(05), pages 904-926, October.
  12. Conrad, Christian & Karanasos, Menelaos, 2006. "The impulse response function of the long memory GARCH process," Economics Letters, Elsevier, vol. 90(1), pages 34-41, January.
  13. El Hedi Arouri, Mohamed & Jouini, Jamel & Nguyen, Duc Khuong, 2011. "Volatility spillovers between oil prices and stock sector returns: Implications for portfolio management," Journal of International Money and Finance, Elsevier, vol. 30(7), pages 1387-1405.
  14. Engle, Robert, 2002. "Dynamic Conditional Correlation: A Simple Class of Multivariate Generalized Autoregressive Conditional Heteroskedasticity Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 339-50, July.
  15. C S Savva & D R Osborn & L Gill, 2005. "Spillovers and Correlations between US and Major European Stock Markets: The Role of the Euro," Centre for Growth and Business Cycle Research Discussion Paper Series 64, Economics, The Univeristy of Manchester.
  16. Koutmos, Gregory & Booth, G Geoffrey, 1995. "Asymmetric volatility transmission in international stock markets," Journal of International Money and Finance, Elsevier, vol. 14(6), pages 747-762, December.
  17. Chia-Lin Chang & Michael McAleer & Roengchai Tansuchat, 2010. "Analyzing and Forecasting Volatility Spillovers, Asymmetries and Hedging in Major Oil Markets," Working Papers in Economics 10/19, University of Canterbury, Department of Economics and Finance.
  18. Michael Mcaleer & Bernardo da Veiga, 2008. "Forecasting value-at-risk with a parsimonious portfolio spillover GARCH (PS-GARCH) model," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 27(1), pages 1-19.
  19. Rittler, Daniel, 2012. "Price discovery and volatility spillovers in the European Union emissions trading scheme: A high-frequency analysis," Journal of Banking & Finance, Elsevier, vol. 36(3), pages 774-785.
  20. Francq, Christian & Zakoïan, Jean-Michel, 2012. "Qml Estimation Of A Class Of Multivariate Asymmetric Garch Models," Econometric Theory, Cambridge University Press, vol. 28(01), pages 179-206, February.
  21. Skintzi, Vasiliki D. & Refenes, Apostolos N., 2006. "Volatility spillovers and dynamic correlation in European bond markets," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 16(1), pages 23-40, February.
  22. Tsai, Henghsiu & Chan, Kung-Sik, 2008. "A Note On Inequality Constraints In The Garch Model," Econometric Theory, Cambridge University Press, vol. 24(03), pages 823-828, June.
  23. Jeantheau, Thierry, 1998. "Strong Consistency Of Estimators For Multivariate Arch Models," Econometric Theory, Cambridge University Press, vol. 14(01), pages 70-86, February.
  24. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-70, March.
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