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Testing for Granger (non)-Causality in a Time Varying Coefficient VAR Model

  • Dimitris K. Christopoulos
  • Miguel Leon-Ledesma

    ()

In this paper we propose Granger (non-)causality tests based on a VAR model allowing for time-varying coefficients. The functional form of the time-varying coefficients is a Logistic Smooth Transition Autoregressive (LSTAR) model using time as the transition variable. The model allows for testing Granger non-causality when the VAR is subject to a smooth break in the coefficients of the Granger causal variables. The proposed test then is applied to the money-output relationship using quarterly US data for the period 1952:2-2002:4. We find that causality from money to output becomes stronger after 1978:4 and the model is shown to have a good out of sample forecasting performance for output relative to a linear VAR model.

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File URL: ftp://ftp.ukc.ac.uk/pub/ejr/RePEc/ukc/ukcedp/0802.pdf
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Paper provided by School of Economics, University of Kent in its series Studies in Economics with number 0802.

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Date of creation: Jan 2008
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Handle: RePEc:ukc:ukcedp:0802
Contact details of provider: Postal: School of Economics, University of Kent, Canterbury, Kent, CT2 7NP
Phone: +44 (0)1227 827497
Web page: http://www.kent.ac.uk/economics/

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  1. Stock, James H. & Watson, Mark W., 1989. "Interpreting the evidence on money-income causality," Journal of Econometrics, Elsevier, vol. 40(1), pages 161-181, January.
  2. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-56, July.
  3. Francis X. Diebold & Robert S. Mariano, 1994. "Comparing Predictive Accuracy," NBER Technical Working Papers 0169, National Bureau of Economic Research, Inc.
  4. Philip Rothman & Dick van Dijk & Philip Hans Franses, 1999. "A Multivariate STAR Analysis of the Relationship Between Money and Output," Working Papers 9913, East Carolina University, Department of Economics.
  5. Ming Chien Lo & Jeremy Piger, 2003. "Is the response of output to monetary policy asymmetric? evidence from a regime-switching coefficients model," Working Papers 2001-022, Federal Reserve Bank of St. Louis.
  6. James H. Stock & Mark W. Watson, 1994. "Evidence on Structural Instability in Macroeconomic Time Series Relations," NBER Technical Working Papers 0164, National Bureau of Economic Research, Inc.
  7. James H. Stock & Mark W. Watson, 2001. "Forecasting output and inflation: the role of asset prices," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  8. D H Kim & D R Osborn & M Sensier, 2002. "Nonlinearity in the Fed's Monetary Policy Rule," The School of Economics Discussion Paper Series 0205, Economics, The University of Manchester.
  9. Perron, P. & Bai, J., 1995. "Estimating and Testing Linear Models with Multiple Structural Changes," Cahiers de recherche 9552, Universite de Montreal, Departement de sciences economiques.
  10. Ana Beatriz C. Galvao, 2006. "Structural break threshold VARs for predicting US recessions using the spread," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(4), pages 463-487.
  11. Saikkonen, Pentti & Choi, In, 2004. "Cointegrating Smooth Transition Regressions," Econometric Theory, Cambridge University Press, vol. 20(02), pages 301-340, April.
  12. Psaradakis, Zacharias & Ravn, Morten O & Sola, Martin, 2003. "Markov Switching Causality and the Money-Output Relationship," CEPR Discussion Papers 3803, C.E.P.R. Discussion Papers.
  13. Friedman, Benjamin M & Kuttner, Kenneth N, 1992. "Money, Income, Prices, and Interest Rates," American Economic Review, American Economic Association, vol. 82(3), pages 472-92, June.
  14. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
  15. Li, Jing, 2006. "Testing Granger Causality in the presence of threshold effects," International Journal of Forecasting, Elsevier, vol. 22(4), pages 771-780.
  16. Helmut Luetkepohl & Pentti Saikkonen, 2000. "Testing for a Unit Root in a Time Series with a Level Shift at Unknown Time," Econometric Society World Congress 2000 Contributed Papers 0342, Econometric Society.
  17. Christopher A. Sims & Tao Zha, 2004. "Were there regime switches in U.S. monetary policy?," Working Paper 2004-14, Federal Reserve Bank of Atlanta.
  18. Lutkepohl, Helmut & Herwartz, Helmut, 1996. "Specification of varying coefficient time series models via generalized flexible least squares," Journal of Econometrics, Elsevier, vol. 70(1), pages 261-290, January.
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