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Long-Run Causality, with an Application to International Links Between Long-Term Interest Rates

  • Bruneau, C.
  • Jondeau, E.

In this paper we give a precise definition of long-run causality in a multivariate non-stationary, possibly cointegrated, framework. A variable is said to be causal for another in the long-run if knwoledge of the past of the former improves long-run predictions of the latter. In a VAR framework, we show that long-run non-causality can be easily tested with a Wald statistics, conditionally on the cointegration rank. The methodology is used to study long-run causal links between US, German, and French long-term interest rates from January 1990 to June 1997.

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Paper provided by Banque de France in its series Working papers with number 53.

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Length: 24 pages
Date of creation: 1998
Date of revision:
Handle: RePEc:bfr:banfra:53
Contact details of provider: Postal: Banque de France 31 Rue Croix des Petits Champs LABOLOG - 49-1404 75049 PARIS
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  1. Toda, Hiro Y & Phillips, Peter C B, 1993. "Vector Autoregressions and Causality," Econometrica, Econometric Society, vol. 61(6), pages 1367-93, November.
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  4. Paruolo, Paolo, 1997. "Asymptotic Inference on the Moving Average Impact Matrix in Cointegrated 1(1) VAR Systems," Econometric Theory, Cambridge University Press, vol. 13(01), pages 79-118, February.
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  7. Mosconi, Rocco & Giannini, Carlo, 1992. "Non-causality in Cointegrated Systems: Representation Estimation and Testing," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 399-417, August.
  8. Warne, A., 1993. "A Common Trends Model: Identification, Estimation and Inference," Papers 555, Stockholm - International Economic Studies.
  9. Olivier Jean Blanchard & Danny Quah, 1988. "The Dynamic Effects of Aggregate Demand and Supply Disturbances," NBER Working Papers 2737, National Bureau of Economic Research, Inc.
  10. Toda, Hiro Y. & Yamamoto, Taku, 1995. "Statistical inference in vector autoregressions with possibly integrated processes," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 225-250.
  11. Hagen, Jurgen von & Fratianni, Michele, 1990. "German dominance in the EMS: evidence from interest rates," Journal of International Money and Finance, Elsevier, vol. 9(4), pages 358-375, December.
  12. Johnson, David R, 1993. "International Interest Rate Linkages in the Term Structure," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 25(4), pages 755-70, November.
  13. Clive, W.J. & Lin, Jin-Lung, 1995. "Causality in the Long Run," Econometric Theory, Cambridge University Press, vol. 11(03), pages 530-536, June.
  14. Shiller, Robert & Campbell, John, 1988. "Interpreting Cointegrated Models," Scholarly Articles 3221492, Harvard University Department of Economics.
  15. Arshanapalli, Bala & Doukas, John, 1994. "Common stochastic trends in a system of Eurocurrency rates," Journal of Banking & Finance, Elsevier, vol. 18(6), pages 1047-1061, December.
  16. Osterwald-Lenum, Michael, 1992. "A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 461-72, August.
  17. Henry, Jerome & Jens Weidmann, 1994. "Asymmetry in the EMS revisited: Evidence from the causality analysis of daily Eurorates," Discussion Paper Serie B 280, University of Bonn, Germany.
  18. Mellander, Erik & Vredin, A & Warne, A, 1992. "Stochastic Trends and Economic Fluctuations in a Small Open Economy," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(4), pages 369-94, Oct.-Dec..
  19. Johansen, Soren, 1992. "Cointegration in partial systems and the efficiency of single-equation analysis," Journal of Econometrics, Elsevier, vol. 52(3), pages 389-402, June.
  20. Cumby, Robert E. & Mishkin, Frederic S., 1986. "The international linkage of real interest rates: The European-US connection," Journal of International Money and Finance, Elsevier, vol. 5(1), pages 5-23, March.
  21. Stock, James H, 1987. "Asymptotic Properties of Least Squares Estimators of Cointegrating Vectors," Econometrica, Econometric Society, vol. 55(5), pages 1035-56, September.
  22. Kirchgassner, Gebhard & Wolters, Jurgen, 1987. "U.S.-European Interest Rate Linkage: A Time Series Analysis for West Germany, Switzerland, and the United States," The Review of Economics and Statistics, MIT Press, vol. 69(4), pages 675-84, November.
  23. Lutkepohl, Helmut & Reimers, Hans-Eggert, 1992. "Impulse response analysis of cointegrated systems," Journal of Economic Dynamics and Control, Elsevier, vol. 16(1), pages 53-78, January.
  24. Granger, C. W. J., 1988. "Some recent development in a concept of causality," Journal of Econometrics, Elsevier, vol. 39(1-2), pages 199-211.
  25. Katarina Juselius, 1996. "An Empirical Analysis of the Changing Role of the German Bundesbank after 1983," Discussion Papers 96-18, University of Copenhagen. Department of Economics.
  26. Lutkepohl, Helmut, 1990. "Asymptotic Distributions of Impulse Response Functions and Forecast Error Variance Decompositions of Vector Autoregressive Models," The Review of Economics and Statistics, MIT Press, vol. 72(1), pages 116-25, February.
  27. Kirchgassner, Gebhard & Wolters, Jurgen, 1993. "Does the DM Dominate the Euro Market? An Empirical Investigation," The Review of Economics and Statistics, MIT Press, vol. 75(4), pages 773-78, November.
  28. Sims, Christopher A & Stock, James H & Watson, Mark W, 1990. "Inference in Linear Time Series Models with Some Unit Roots," Econometrica, Econometric Society, vol. 58(1), pages 113-44, January.
  29. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
  30. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-38, July.
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