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Multivariate Linear Rational Expectations Models: Characterisation of the Nature of the Solutions and Their Fully Recursive Computation

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Abstract

In this paper, we analyze a general multivariate linear rational expectations model.

Suggested Citation

  • Binder, M. & Pesaran, H., 1996. "Multivariate Linear Rational Expectations Models: Characterisation of the Nature of the Solutions and Their Fully Recursive Computation," Cambridge Working Papers in Economics 9619, Faculty of Economics, University of Cambridge.
    • Handle: RePEc:cam:camdae:9619
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    Cited by:

    1. Harald Uhlig, 2006. "Approximate Solutions to Dynamic Models - Linear Methods," SFB 649 Discussion Papers SFB649DP2006-030, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    2. Arturo Ormeño, 2011. "Using Survey Data on Inflation Expectations in the Estimation of Learning and Rational Expectations Models," CESifo Working Paper Series 3552, CESifo.
    3. McCallum, Bennett T., 2007. "E-stability vis-a-vis determinacy results for a broad class of linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1376-1391, April.
    4. Ioannides, Yannis M. & Soetevent, Adriaan R., 2007. "Social networking and individual outcomes beyond the mean field case," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 369-390.
    5. Onatski, Alexei, 2006. "Winding number criterion for existence and uniqueness of equilibrium in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 30(2), pages 323-345, February.
    6. Holden, Tom, 2008. "Rational macroeconomic learning in linear expectational models," MPRA Paper 10872, University Library of Munich, Germany.
    7. Frank Hespeler, 2012. "On Boundary Conditions Within the Solution of Macroeconomic Dynamic Models with Rational Expectations," Computational Economics, Springer;Society for Computational Economics, vol. 40(3), pages 265-291, October.
    8. Stephane Dees & M. Hashem Pesaran & L. Vanessa Smith & Ron P. Smith, 2010. "Supply, Demand and Monetary Policy Shocks in a Multi-Country New Keynesian Model," CESifo Working Paper Series 3081, CESifo.
    9. Alexander Chudik & Vanessa Smith, 2013. "The GVAR approach and the dominance of the U.S. economy," Globalization Institute Working Papers 136, Federal Reserve Bank of Dallas.
    10. Mariano Kulish & Adrian Pagan, 2017. "Estimation and Solution of Models with Expectations and Structural Changes," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(2), pages 255-274, March.
    11. Chudik, Alexander & Pesaran, M. Hashem, 2011. "Infinite-dimensional VARs and factor models," Journal of Econometrics, Elsevier, vol. 163(1), pages 4-22, July.
    12. Stephane Dees & M. Hashem Pesaran & L. Vanessa Smith & Ron P. Smith, 2009. "Identification of New Keynesian Phillips Curves from a Global Perspective," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(7), pages 1481-1502, October.
    13. Ormeño, Arturo, 2012. "Using Survey Data on Inflation Expectations in the Estimation of Learning and Rational Expectations Models," Working Papers 2012-007, Banco Central de Reserva del Perú.
    14. Emine Boz & Christian Daude & Bora Durdu, 2008. "Emerging market business cycles revisited: learning about the trend," International Finance Discussion Papers 927, Board of Governors of the Federal Reserve System (U.S.).
    15. Seonghoon Cho & Antonio Moreno, 2007. "The Forward Solution for Linear Rational Expectations Models," Faculty Working Papers 07/07, School of Economics and Business Administration, University of Navarra.
    16. Balvers, Ronald J. & Mitchell, Douglas W., 2007. "Reducing the dimensionality of linear quadratic control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 141-159, January.
    17. Alexander Chudik & Roland Straub, 2017. "Size, Openness, And Macroeconomic Interdependence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(1), pages 33-55, February.
    18. Binder, Michael & Pesaran, Hashem, 2000. "Solution of finite-horizon multivariate linear rational expectations models and sparse linear systems," Journal of Economic Dynamics and Control, Elsevier, vol. 24(3), pages 325-346, March.
    19. Cho, Seonghoon & Moreno, Antonio, 2011. "The forward method as a solution refinement in rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(3), pages 257-272, March.
    20. Sungbae An & Frank Schorfheide, 2007. "Bayesian Analysis of DSGE Models," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 113-172.
    21. Seonghoon Cho & Antonio Moreno, 2003. "A Structural Estimation and Interpretation of the New Keynesian Macro Model," Faculty Working Papers 14/03, School of Economics and Business Administration, University of Navarra.
    22. Hong Lan & Alexander Meyer-Gohde, 2012. "Existence and Uniqueness of Perturbation Solutions to DSGE Models," SFB 649 Discussion Papers SFB649DP2012-015, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    23. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
    24. Blake, Andrew P. & Zampolli, Fabrizio, 2011. "Optimal policy in Markov-switching rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(10), pages 1626-1651, October.

    More about this item

    Keywords

    EXPECTATIONS; LINEAR MODELS; RECURSIVE METHODS;
    All these keywords.

    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
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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