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Solving the multi-country Real Business Cycle model using a monomial rule Galerkin method

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  • Pichler, Paul

Abstract

I propose a Galerkin projection method for solving dynamic economic models with many state variables. This method employs non-product monomial integration formulas for the computation of weighted residuals, and its computational cost therefore increases only polynomially in the model's dimensionality. I illustrate the practical implementation of the proposed algorithm by solving several specifications of the multi-country Real Business Cycle model described in Den Haan et al. [2010. Computational suite of models with heterogeneous agents: multi-country Real Business Cycle models. Journal of Economic Dynamics and Control, this issue], and briefly discuss two possible routes for further improving its numerical accuracy.

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  • Pichler, Paul, 2011. "Solving the multi-country Real Business Cycle model using a monomial rule Galerkin method," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 240-251, February.
  • Handle: RePEc:eee:dyncon:v:35:y:2011:i:2:p:240-251
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    Citations

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    Cited by:

    1. Kollmann, Robert & Maliar, Serguei & Malin, Benjamin A. & Pichler, Paul, 2011. "Comparison of solutions to the multi-country Real Business Cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 186-202, February.
    2. Arellano, Cristina & Maliar, Lilia & Maliar, Serguei & Tsyrennikov, Viktor, 2016. "Envelope condition method with an application to default risk models," Journal of Economic Dynamics and Control, Elsevier, vol. 69(C), pages 436-459.
    3. Ajevskis Viktors, 2017. "Semi-global solutions to DSGE models: perturbation around a deterministic path," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 21(2), pages 1-28, April.
    4. Dennis, Richard & Kirsanova, Tatiana, 2014. "Computing Markov-Perfect Optimal Policies in Business-Cycle Models," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-64, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. Lilia Maliar & Serguei Maliar & Sébastien Villemot, 2013. "Taking Perturbation to the Accuracy Frontier: A Hybrid of Local and Global Solutions," Computational Economics, Springer;Society for Computational Economics, vol. 42(3), pages 307-325, October.
    6. Dennis, Richard & Kirsanova, Tatiana, 2016. "Computing Markov-Perfect Optimal Policies In Business-Cycle Models," Macroeconomic Dynamics, Cambridge University Press, vol. 20(07), pages 1850-1872, October.
    7. Senbeta, Sisay, 2011. "How applicable are the new keynesian DSGE models to a typical low-income economy?," MPRA Paper 30931, University Library of Munich, Germany.
    8. Wouter J. Den Haan & Kenneth L. Judd & Michel Juillard, 2010. "Computational suite of models with heterogeneous agents: Multi-country real business cycle models," Post-Print hal-00765828, HAL.
    9. Chen, Zhanhui, 2016. "Time-to-produce, inventory, and asset prices," Journal of Financial Economics, Elsevier, vol. 120(2), pages 330-345.

    More about this item

    Keywords

    Galerkin method Weighted residuals Monomial cubature rules Curse of dimensionality Multi-country Real Business Cycle model;

    JEL classification:

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

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