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Parametric Path Method: An alternative to Fair-Taylor and L-B-J for solving perfect foresight models

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  • Kenneth L. Judd

Abstract

The parametric path method applies projection methods to compute the equilibrium path of economic variables in infinite-horizon dynamic models. We exploit the special structure of economic time paths common in such models. This structure drastically reduces dimensionality and reduces computing time. We apply the parametric method to a simple example which illustrates how one applies the ideas to produce an efficient implementation.

Suggested Citation

  • Kenneth L. Judd, 2001. "Parametric Path Method: An alternative to Fair-Taylor and L-B-J for solving perfect foresight models," Computing in Economics and Finance 2001 112, Society for Computational Economics.
    • Handle: RePEc:sce:scecf1:112
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    References listed on IDEAS

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    1. Fair, Ray C & Taylor, John B, 1983. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 51(4), pages 1169-1185, July.
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    9. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    10. Juillard, Michel & Laxton, Douglas & McAdam, Peter & Pioro, Hope, 1998. "An algorithm competition: First-order iterations versus Newton-based techniques," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1291-1318, August.
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    Cited by:

    1. Geppert, Christian & Ludwig, Alexander & Abiry, Raphael, 1970. "Secular Stagnation? Growth, Asset Returns and Welfare in the Next Decades: First Results," MEA discussion paper series 201605, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    2. Lilia Maliar & Serguei Maliar & John B. Taylor & Inna Tsener, 2020. "A tractable framework for analyzing a class of nonstationary Markov models," Quantitative Economics, Econometric Society, vol. 11(4), pages 1289-1323, November.
    3. Jan Bruha & Jiri Podpiera & Stanislav Polak, 2007. "The Convergence of a Transition Economy: The Case of the Czech Republic," Working Papers 2007/3, Czech National Bank.
    4. Manoj Atolia & Edward F. Buffie, 2004. "Reverse Shooting Made Easy: Solving for the Global Nonlinear Saddle Path," Working Papers wp2009_01_01, Department of Economics, Florida State University, revised Jan 2009.
    5. Bruha, Jan & Podpiera, Jirí & Polák, Stanislav, 2010. "The convergence dynamics of a transition economy: The case of the Czech Republic," Economic Modelling, Elsevier, vol. 27(1), pages 116-124, January.
    6. Reiter, Michael, 2018. "Comments on “Exploiting MIT shocks in heterogeneous-agent economies: The impulse response as a numerical derivative” by T. Boppart, P. Krusell and K. Mitman," Journal of Economic Dynamics and Control, Elsevier, vol. 89(C), pages 93-99.
    7. N. B. Melnikov & A. P. Gruzdev & M. G. Dalton & M. Weitzel & B. C. O’Neill, 2021. "Parallel Extended Path Method for Solving Perfect Foresight Models," Computational Economics, Springer;Society for Computational Economics, vol. 58(2), pages 517-534, August.
    8. Lakshmi Raut, 2018. "Long-term Effects of Preschool on School Performance, Earnings and Social Mobility," Studies in Microeconomics, , vol. 6(1-2), pages 24-49, June.
    9. Brůha, Jan & Podpiera, Jiří, 2007. "Inquiries on dynamics of transition economy convergence in a two-country model," Working Paper Series 791, European Central Bank.
    10. Brůha, Jan & Podpiera, Jiří, 2007. "Transition economy convergence in a two-country model: implications for monetary integration," Working Paper Series 740, European Central Bank.
    11. Serguei Maliar & John Taylor & Lilia Maliar, 2016. "The Impact of Alternative Transitions to Normalized Monetary Policy," 2016 Meeting Papers 794, Society for Economic Dynamics.
    12. Ludwig, Alexander & Geppert, Christian & Abiry, Raphael, 2016. "Secular Stagnation? Growth, Asset Returns and Welfare in the Next Decades," VfS Annual Conference 2016 (Augsburg): Demographic Change 145764, Verein für Socialpolitik / German Economic Association.
    13. Ludwig, Alexander, 2004. "Improving Tatonnement Methods for Solving Heterogeneous Agent Models," Sonderforschungsbereich 504 Publications 04-29, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    14. Ludwig, Alexander, 2004. "Improving Tatonnement Methods for Solving Heterogeneous Agent Models," Sonderforschungsbereich 504 Publications 04-29, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.

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    More about this item

    Keywords

    dynamic models; projection methods;

    JEL classification:

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

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