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Solving discrete time heterogeneous agent models with aggregate risk and many idiosyncratic states by perturbation

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  • Christian Bayer
  • Ralph Luetticke

Abstract

This paper describes a method for solving heterogeneous agent models with aggregate risk and many idiosyncratic states formulated in discrete time. It extends the method proposed by Reiter (2009) and complements recent work by Ahn, Kaplan, Moll, Winberry, and Wolf (2017) on how to solve such models in continuous time. We suggest first solving for the stationary equilibrium of the model without aggregate risk. We then write the functionals that describe the dynamic equilibrium as sparse expansions around their stationary equilibrium counterparts. Finally, we use the perturbation method of Schmitt‐Grohé and Uribe (2004) to approximate the aggregate dynamics of the model.

Suggested Citation

  • Christian Bayer & Ralph Luetticke, 2020. "Solving discrete time heterogeneous agent models with aggregate risk and many idiosyncratic states by perturbation," Quantitative Economics, Econometric Society, vol. 11(4), pages 1253-1288, November.
    • Handle: RePEc:wly:quante:v:11:y:2020:i:4:p:1253-1288
    DOI: 10.3982/QE1243
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    References listed on IDEAS

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    12. Christian Bayer & Ralph Luetticke & Lien Pham‐Dao & Volker Tjaden, 2019. "Precautionary Savings, Illiquid Assets, and the Aggregate Consequences of Shocks to Household Income Risk," Econometrica, Econometric Society, vol. 87(1), pages 255-290, January.
    13. Ralph Luetticke, 2021. "Transmission of Monetary Policy with Heterogeneity in Household Portfolios," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(2), pages 1-25, April.
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    Cited by:

    1. Dobrew, Michael & Gerke, Rafael & Giesen, Sebastian & Röttger, Joost, 2023. "Make-Up Strategies with Incomplete Markets and Bounded Rationality," VfS Annual Conference 2023 (Regensburg): Growth and the "sociale Frage" 277697, Verein für Socialpolitik / German Economic Association.
    2. Christian Bayer & Benjamin Born & Ralph Luetticke & Gernot J Müller, 2023. "The Coronavirus Stimulus Package: How Large is the Transfer Multiplier," The Economic Journal, Royal Economic Society, vol. 133(652), pages 1318-1347.
    3. Bayer, Christian & Born, Benjamin & Luetticke, Ralph, 2023. "The liquidity channel of fiscal policy," Journal of Monetary Economics, Elsevier, vol. 134(C), pages 86-117.
    4. Juan Carlos Parra‐Alvarez & Olaf Posch & Mu‐Chun Wang, 2023. "Estimation of Heterogeneous Agent Models: A Likelihood Approach," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 85(2), pages 304-330, April.
    5. Dobrew, Michael & Gerke, Rafael & Giesen, Sebastian & Röttger, Joost, 2023. "Make-up strategies with incomplete markets and bounded rationality," Discussion Papers 01/2023, Deutsche Bundesbank.
    6. Langot, François & Malmberg, Selma & Tripier, Fabien & Hairault, Jean-Olivier, 2023. "The Macroeconomic and Redistributive Effects of Shielding Consumers from Rising Energy Prices: the French Experiment," CEPREMAP Working Papers (Docweb) 2305, CEPREMAP.

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