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Testing the Stability of the Canadian Phillips Curve Using Exact Methods

  • Lynda Khalaf
  • Maral Kichian

Postulating two different specifications for the Canadian Phillips curve (a purely backwardlooking model, and a partly backward-, partly forward-looking model), the authors test for structural breaks in the parameters of the equation. In each case, they account for the possibilities that: (i) breaks can be discrete, or continuous, and (ii) available data samples may be too small to justify using asymptotically valid structural-change tests. Thus, the authors use recent testing procedures that are valid in finite samples, applying the Dufour-Kiviet (1996) methodology for discrete-type breaks, and the Dufour (2002) Maximized Monte Carlo test method for continuous-type shifts. The second test accounts for nuisance parameters that appear only under the alternative. The proposed alternative is a Kalman-filter-based time-varying-parameter specification, with coefficients that follow random walks. The authors find evidence for linear and non-linear breaks, the latter being characterized by continuous and unpredictable-type shifts in the inflation-dynamics coefficients.

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Paper provided by Bank of Canada in its series Working Papers with number 03-7.

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Length: 32 pages
Date of creation: 2003
Date of revision:
Handle: RePEc:bca:bocawp:03-7
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  1. Dufour, Jean-Marie & Kiviet, Jan F., 1996. "Exact tests for structural change in first-order dynamic models," Journal of Econometrics, Elsevier, vol. 70(1), pages 39-68, January.
  2. Dufour, Jean-Marie & Khalaf, Lynda & Bernard, Jean-Thomas & Genest, Ian, 2004. "Simulation-based finite-sample tests for heteroskedasticity and ARCH effects," Journal of Econometrics, Elsevier, vol. 122(2), pages 317-347, October.
  3. Jeremy Rudd & Karl Whelan, 2001. "New tests of the New-Keynesian Phillips curve," Finance and Economics Discussion Series 2001-30, Board of Governors of the Federal Reserve System (U.S.).
  4. Manuel Arellano & Lars Peter Hansen & Enrique Sentana, 2009. "Underidentification?," Working Papers wp2009_0905, CEMFI.
  5. Jordi Gali & Mark Gertler, 2000. "Inflation Dynamics: A Structural Econometric Analysis," NBER Working Papers 7551, National Bureau of Economic Research, Inc.
  6. Hansen, B.E., 1991. "Inference when a Nuisance Parameter is Not Identified Under the Null Hypothesis," RCER Working Papers 296, University of Rochester - Center for Economic Research (RCER).
  7. Galí, Jordi & Gertler, Mark & López-Salido, J David, 2001. "European Inflation Dynamics," CEPR Discussion Papers 2684, C.E.P.R. Discussion Papers.
  8. Donald W. K. Andrews, 2000. "Inconsistency of the Bootstrap when a Parameter Is on the Boundary of the Parameter Space," Econometrica, Econometric Society, vol. 68(2), pages 399-406, March.
  9. Chorng-Huey Wong & Eric V. Clifton & H. L. Leon, 2001. "Inflation Targeting and the Unemployment-Inflation Trade-off," IMF Working Papers 01/166, International Monetary Fund.
  10. Breusch, T S & Pagan, A R, 1979. "A Simple Test for Heteroscedasticity and Random Coefficient Variation," Econometrica, Econometric Society, vol. 47(5), pages 1287-94, September.
  11. Johnson, David R., 2002. "The effect of inflation targeting on the behavior of expected inflation: evidence from an 11 country panel," Journal of Monetary Economics, Elsevier, vol. 49(8), pages 1521-1538, November.
  12. Maral Kichian, 2001. "On the Nature and the Stability of the Canadian Phillips Curve," Working Papers 01-4, Bank of Canada.
  13. Kim, Chang-Jin & Nelson, Charles R, 1989. "The Time-Varying-Parameter Model for Modeling Changing Conditional Variance: The Case of the Lucas Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(4), pages 433-40, October.
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