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The Dynamic Behaviour of Canadian Imports and the Linear-Quadratic Model: Evidence Based on the Euler Equation

Listed author(s):
  • Robert A. Amano
  • Tony S. Wirjanto

    (University of Waterloo)

We examine the ability of the simple linear-quadratic model under rational expectations to explain dynamic behaviour of aggregate Canadian imports. In contrast to authors of previous studies who examine dynamic behaviour using the LQ model, we estimate the structural parameters using the Euler equation in a limited information framework that does not require an explicit solution for the model's control variables in terms of the exogenous forcing variables. In the first stage of our two-step methodology, we find statistically stable long-run elasticities of domestic activity and relative price to be about 1.5 and -0.5 over the sample period of estimation. In the second stage, we use the parameter estimates from the first stage and estimate the Euler equation. These empirical estimates imply that adjustment costs are about 9 to 13 times more important than disequilibrium costs. In sum, we find surprisingly encouraging evidence supporting the view that the LQ model is not inconsistent with the dynamic behaviour of Canadian aggregate imports. Dans le present article, les auteurs cherchent a etablir si le modele simple de forme quadratique lineaire peut, sous l'hypothese de rationalite des attentes, expliquer le comportement dynamique de l'ensemble des importations canadiennes. Contrairement aux auteurs d'etudes anterieures, axees sur la methode quadratique lineaire, ils estiment les parametres structurels a l'aide de l'equation d'Euler en utilisant une methode du maximum de vraisemblance a information limitee qui n'exige pas que les variables de controle du modele soient explicitement resolues en fonction des variables d'impulsion exogenes. Dans la premiere des deux etapes de leur methode, les auteurs trouvent des elasticites a long terme stables sur le plan statistique oscillant autour de 1,5 pour l'activite interieure et autour de -0,5 pour les prix relatifs sur l'ensemble de la periode consideree. Dans la deuxieme etape, ils estiment l'equation d'Euler en se fondant sur les estimations des parametres obtenues a la premiere etape. Ces estimations empiriques laissent supposer que les couts d'ajustement sont de 9 a 13 fois environ plus importants que les couts de desequilibre. Somme toute, ils trouvent des resultats etonnamment encourageants validant l'hypothese que le modele de forme quadratique lineaire peut servir a formaliser le comportement dynamique de l'ensemble des importations canadiennes.

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Paper provided by Bank of Canada in its series Staff Working Papers with number 94-6.

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Handle: RePEc:bca:bocawp:94-6
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  1. Park, Joon Y, 1992. "Canonical Cointegrating Regressions," Econometrica, Econometric Society, vol. 60(1), pages 119-143, January.
  2. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
  3. Mercenier, Jean & Sekkat, Khalid, 1988. "Money Stock Targeting and Money Supply: An Intertemporal Optimization Approach (with an Application to Canada)," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 3(3), pages 215-228, July-Sept.
  4. Ogaki, Masao & Park, Joon Y., 1997. "A cointegration approach to estimating preference parameters," Journal of Econometrics, Elsevier, vol. 82(1), pages 107-134.
  5. Peter C. B. Phillips & Bruce E. Hansen, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," Review of Economic Studies, Oxford University Press, vol. 57(1), pages 99-125.
  6. repec:bla:restud:v:57:y:1990:i:1:p:99-125 is not listed on IDEAS
  7. Cuthbertson, Keith & Taylor, Mark P, 1987. "The Demand for Money: A Dynamic Rational Expectations Model," Economic Journal, Royal Economic Society, vol. 97(388a), pages 65-76, Supplemen.
  8. Hansen, Lars Peter & Sargent, Thomas J., 1980. "Formulating and estimating dynamic linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 7-46, May.
  9. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
  10. Hansen, Bruce E., 1992. "Efficient estimation and testing of cointegrating vectors in the presence of deterministic trends," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 87-121.
  11. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
  12. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
  13. Hansen, Bruce E, 2002. "Tests for Parameter Instability in Regressions with I(1) Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 45-59, January.
  14. Meese, Richard, 1980. "Dynamic factor demand schedules for labor and capital under rational expectations," Journal of Econometrics, Elsevier, vol. 14(1), pages 141-158, September.
  15. Kennan, John, 1988. "An Econometric Analysis of Fluctuations in Aggregate Labor Supply and Demand," Econometrica, Econometric Society, vol. 56(2), pages 317-333, March.
  16. Dolado, Juan & Galbraith, John W & Banerjee, Anindya, 1991. "Estimating Intertemporal Quadratic Adjustment Cost Models with Integrated Series," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(4), pages 919-936, November.
  17. Peter C.B. Phillips & Bruce E. Hansen, 1988. "Statistical Inference in Instrumental Variables," Cowles Foundation Discussion Papers 869R, Cowles Foundation for Research in Economics, Yale University, revised Apr 1989.
  18. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
  19. Timothy A. Deyak & W. Charles Sawyer & Richard L. Sprinkle, 1993. "The Adjustment of Canadian Import Demand to Changes in Income, Prices, and Exchange Rates," Canadian Journal of Economics, Canadian Economics Association, vol. 26(4), pages 890-900, November.
  20. Gregogy, A.W. & Pagan, A.R. & Smith, G.W., 1990. "Estimating Linear Quadratic Models With Integrated Processes," RCER Working Papers 247, University of Rochester - Center for Economic Research (RCER).
  21. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 33(1), pages 125-132.
  22. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
  23. Sargent, Thomas J, 1978. "Estimation of Dynamic Labor Demand Schedules under Rational Expectations," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 1009-1044, December.
  24. Park, J.Y. & Ogaki, M., 1991. "Inference in Cointegrated Models Using VAR Prewhitening to Estimate Shortrun Dynamics," RCER Working Papers 281, University of Rochester - Center for Economic Research (RCER).
  25. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-193, January.
  26. James G. MacKinnon, 1990. "Critical Values for Cointegration Tests," Working Papers 1227, Queen's University, Department of Economics.
  27. Stock, James H, 1987. "Asymptotic Properties of Least Squares Estimators of Cointegrating Vectors," Econometrica, Econometric Society, vol. 55(5), pages 1035-1056, September.
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