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Testing for Causality in Variance using Multivariate GARCH Models

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  • Hafner, Christian M.
  • Herwartz, Helmut

Abstract

Tests of causality in variance in multiple time series have been proposed recently, based on residuals of estimated univariate models. Although such tests are applied frequently little is known about their power properties. In this paper we show that a convenient alternative to residual based testing is to specify a multivariate volatility model, such as multivariate GARCH (or BEKK), and construct a Wald test on noncausality in variance. We compare both approaches to testing causality in variance in terms of asymptotic and finite sample properties. The Wald test is shown to have superior power properties under a sequence of local alternatives. Furthermore, we show by simulation that the Wald test is quite robust to misspecification of the order of the BEKK model, but that empirical power decreases substantially when asymmetries in volatility are ignored.

Suggested Citation

  • Hafner, Christian M. & Herwartz, Helmut, 2004. "Testing for Causality in Variance using Multivariate GARCH Models," Economics Working Papers 2004-03, Christian-Albrechts-University of Kiel, Department of Economics.
  • Handle: RePEc:zbw:cauewp:1690
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    Cited by:

    1. Grydaki, Maria & Bezemer, Dirk, 2013. "The role of credit in the Great Moderation: A multivariate GARCH approach," Journal of Banking & Finance, Elsevier, vol. 37(11), pages 4615-4626.
    2. Hecq Alain & Palm Franz C. & Laurent Sébastien, 2016. "On the Univariate Representation of BEKK Models with Common Factors," Journal of Time Series Econometrics, De Gruyter, pages 91-113.
    3. Mario Reyna Cerecero & Diana Salazar Cavazos & Héctor Salgado Banda, 2009. "La curva de rendimiento y su relación con la actividad económica: una aplicación para México," Monetaria, Centro de Estudios Monetarios Latinoamericanos, vol. 0(3), pages 297-357, octubre-d.
    4. Murat Tasdemir & Abdullah Yalama, 2010. "Inter-Regional Volatility Spillovers Between Emerging Capital Markets: Evidence From Turkey And Brazil," Working Papers 2010/8, Turkish Economic Association, revised Jan 2010.
    5. Woźniak, Tomasz, 2015. "Testing causality between two vectors in multivariate GARCH models," International Journal of Forecasting, Elsevier, vol. 31(3), pages 876-894.
    6. Gebka, Bartosz & Serwa, Dobromil, 2007. "Intra- and inter-regional spillovers between emerging capital markets around the world," Research in International Business and Finance, Elsevier, vol. 21(2), pages 203-221, June.
    7. Pablo Mendieta & Sergio Cerezo & Javier Cossio, 2009. "¿La inflación está de vuelta en Sudamérica?: choques exógenos, expectativas y credibilidad de la política monetaria," Monetaria, Centro de Estudios Monetarios Latinoamericanos, vol. 0(3), pages 359-389, octubre-d.
    8. Bezemer, Dirk J & Grydaki, Maria, 2012. "Mortgage Lending and the Great moderation: a multivariate GARCH Approach," MPRA Paper 36356, University Library of Munich, Germany.
    9. Guillermo Benavides & Carlos Capistrán, 2009. "Una nota sobre las volatilidades de la tasa de interés y del tipo de cambio según diferentes instrumentos de política monetaria: México 1998-2008," Monetaria, Centro de Estudios Monetarios Latinoamericanos, vol. 0(3), pages 391-412, octubre-d.
    10. Javier Pereda, 2009. "Estimación de la curva de rendimiento para el Perú y su uso para el análisis monetario," Monetaria, Centro de Estudios Monetarios Latinoamericanos, vol. 0(3), pages 413-450, octubre-d.
    11. Matthieu Droumaguet & Tomasz Wozniak, 2012. "Bayesian Testing of Granger Causality in Markov-Switching VARs," Economics Working Papers ECO2012/06, European University Institute.
    12. Grydaki, Maria & Bezemer, Dirk J., 2012. "The Role of Credit in Great Moderation: a Multivariate GARCH Approach," MPRA Paper 39813, University Library of Munich, Germany.
    13. van Dieijen, M. & Borah, A. & Tellis, G.J. & Franses, Ph.H.B.F., 2016. "Volatility Spillovers Across User-Generated Content and Stock Market Performance," ERIM Report Series Research in Management ERS-2016-008-MKT, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    14. Guillermo Benavides & Carlos Capistrán, 2009. "A Note on the Volatilities of the Interest Rate and the Exchange Rate Under Different Monetary Policy Instruments: Mexico 1998-2008," Working Papers 2009-10, Banco de México.

    More about this item

    Keywords

    causality; multivariate volatility; local power;

    JEL classification:

    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • 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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