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Causality and Regime Inference in a Markov Switching VAR

Author

Listed:
  • Warne, Anders

    () (Research Department, Central Bank of Sweden)

Abstract

This paper analyses three Granger noncausality hypotheses within a conditionally Gaussian MS-VAR model. Noncausality in mean is based on Granger´s original concept for linear predictors by defining noncausality from the 1-step ahead forecast error variance for the conditional expectation. Noncausality in mean-variance concerns the conditional forecast error variance, while noncausality in distribution refers to the conditional distribution of the forecast errors. Necessary and sufficient parametric conditions for noncausality are presented for all hypotheses. As an illustration, the hypotheses are tested using monthly postwar U.S. data on money and income. We find that money is not Granger causal in mean for income, but Granger causal in mean-variance, i.e there is unique information in money for predicting the next period regime and the regime affects the uncertainty about the income forecast.

Suggested Citation

  • Warne, Anders, 2000. "Causality and Regime Inference in a Markov Switching VAR," Working Paper Series 118, Sveriges Riksbank (Central Bank of Sweden).
  • Handle: RePEc:hhs:rbnkwp:0118
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    File URL: http://www.riksbank.com/upload/4673/wp_118.pdf
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    Citations

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    Cited by:

    1. Maximo Camacho, 2004. "Vector smooth transition regression models for US GDP and the composite index of leading indicators," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 23(3), pages 173-196.
    2. Igor Alexandre Clemente de Morais & Marcelo Savino Portugal, 2003. "Business Cycle in the Industrial Production of Brazilian States," Anais do XXXI Encontro Nacional de Economia [Proceedings of the 31st Brazilian Economics Meeting] e75, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    3. Barnett, William A. & Chen, Guo, 2015. "Bifurcation of Macroeconometric Models and Robustness of Dynamical Inferences," Foundations and Trends(R) in Econometrics, now publishers, vol. 8(1-2), pages 1-144, September.
    4. Chen, Shyh-Wei & Shen, Chung-Hua, 2007. "A sneeze in the U.S., a cough in Japan, but pneumonia in Taiwan? An application of the Markov-Switching vector autoregressive model," Economic Modelling, Elsevier, vol. 24(1), pages 1-14, January.
    5. Warne Anders & Vredin Anders, 2006. "Unemployment and Inflation Regimes," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 10(2), pages 1-52, May.
    6. Balcilar, Mehmet & Ozdemir, Zeynel Abidin, 2013. "The causal nexus between oil prices and equity market in the U.S.: A regime switching model," Energy Economics, Elsevier, vol. 39(C), pages 271-282.
    7. Edoardo Otranto, 2005. "The multi-chain Markov switching model," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 24(7), pages 523-537.
    8. M. Portugal & I.A. de Morais, 2004. "STRUCTURAL CHANGE IN THE BRAZILIAN DEMAND FOR IMPORTS: A regime switching approach," Econometric Society 2004 Latin American Meetings 346, Econometric Society.
    9. Bildirici, Melike, 2012. "Economic Growth and Electricity Consumption in Africa and Asia: MS-VAR and MS-GRANGER Causality Analysis," MPRA Paper 40515, University Library of Munich, Germany.
    10. Balcilar, Mehmet & Gungor, Hasan & Hammoudeh, Shawkat, 2015. "The time-varying causality between spot and futures crude oil prices: A regime switching approach," International Review of Economics & Finance, Elsevier, vol. 40(C), pages 51-71.
    11. Andrea Cipollini & Kostas Mouratidis & Nicola Spagnolo, 2008. "Evaluating currency crises: the case of the European monetary system," Empirical Economics, Springer, vol. 35(1), pages 11-27, August.
    12. Matthieu Droumaguet & Tomasz Wozniak, 2012. "Bayesian Testing of Granger Causality in Markov-Switching VARs," Economics Working Papers ECO2012/06, European University Institute.
    13. Kandemir Kocaaslan, Ozge, 2013. "The causal link between energy and output growth: Evidence from Markov switching Granger causality," Energy Policy, Elsevier, vol. 63(C), pages 1196-1206.
    14. repec:eee:rensus:v:75:y:2017:i:c:p:68-85 is not listed on IDEAS
    15. repec:sbe:breart:v:25:y:2005:i:2:a:2504 is not listed on IDEAS

    More about this item

    Keywords

    Granger causality; Markov process; Regime switching; Vector autoregression;

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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