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Testing for Granger causality in a system of more than two variables

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Abstract

This paper provides useful guidelines to practitioners who investigate Granger causality within a system of more than two variables by means of the two-step procedure proposed by Cheung and Ng (Journal of Econometrics, 1996) and modified by Hong (Journal of Econometrics, 2001). First, a theoretical example highlights cases that can mislead the researcher into reporting false causal relations between the variables under scrutiny. Then, the size of the problem is revealed by means of Monte Carlo simulations. Finally, an empirical application that investigates causality-in-mean among six major European stock markets, illustrates the proper procedure to follow for correct inference.

Suggested Citation

  • Theologos Pantelidis, 2012. "Testing for Granger causality in a system of more than two variables," Discussion Paper Series 2012_02, Department of Economics, University of Macedonia, revised Jan 2012.
    • Handle: RePEc:mcd:mcddps:2012_02
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    References listed on IDEAS

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    1. Cheung, Yin-Wong & Ng, Lilian K., 1996. "A causality-in-variance test and its application to financial market prices," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 33-48.
    2. Hong, Yongmiao, 2001. "A test for volatility spillover with application to exchange rates," Journal of Econometrics, Elsevier, vol. 103(1-2), pages 183-224, July.
    3. Speight, Alan E. H. & McMillan, David G., 2001. "Volatility spillovers in East European black-market exchange rates," Journal of International Money and Finance, Elsevier, vol. 20(3), pages 367-378, June.
    4. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-438, July.
    5. Inagaki, Kazuyuki, 2007. "Testing for volatility spillover between the British pound and the euro," Research in International Business and Finance, Elsevier, vol. 21(2), pages 161-174, June.
    6. Bhar, Ramaprasad & Hamori, Shigeyuki, 2005. "Causality in variance and the type of traders in crude oil futures," Energy Economics, Elsevier, vol. 27(3), pages 527-539, May.
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    More about this item

    Keywords

    Causality-in-mean; causality-in-variance; misspecification; simulation.;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • 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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