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Taylor Projection: A New Solution Method For Dynamic General Equilibrium Models

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  • Oren Levintal

Abstract

This article presents a new solution method for dynamic equilibrium models. The solution is approximated by polynomials that zero the residual function and its derivatives at a given point x0. The algorithm is essentially a type of projection but is significantly faster, since the problem is highly sparse and can be easily solved by a Newton solver. The obtained solution is accurate locally in the neighborhood of x0. Importantly, a local solution can be obtained at any point of the state space. This makes it possible to solve models at points that are further away from the steady state.

Suggested Citation

  • Oren Levintal, 2018. "Taylor Projection: A New Solution Method For Dynamic General Equilibrium Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(3), pages 1345-1373, August.
    • Handle: RePEc:wly:iecrev:v:59:y:2018:i:3:p:1345-1373
    DOI: 10.1111/iere.12306
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    Cited by:

    1. Martin Ellison & Sang Seok Lee & Kevin Hjortshøj O'Rourke, 2024. "The Ends of 27 Big Depressions," American Economic Review, American Economic Association, vol. 114(1), pages 134-168, January.
    2. Robert J Barro & Jesús Fernández-Villaverde & Oren Levintal & Andrew Mollerus, 2022. "Safe Assets," The Economic Journal, Royal Economic Society, vol. 132(646), pages 2075-2100.
      • Robert J. Barro, 2014. "Safe Assets," Working Papers 2014-28, Economic Research Institute, Bank of Korea.
      • Robert J. Barro & Jesús Fernández-Villaverde & Oren Levintal & Andrew Mollerus, 2014. "Safe Assets," NBER Working Papers 20652, National Bureau of Economic Research, Inc.
      • Fernández-Villaverde, Jesús & Barro, Robert & Levintal, Oren & Mollerus, Andrew, 2017. "Safe Assets," CEPR Discussion Papers 12043, C.E.P.R. Discussion Papers.
      • Robert Barro & Jesus Fernandez-Villaverde & Oren Levintal & Andrew Mollerus, 2017. "Safe Assets," PIER Working Paper Archive 17-008, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 10 May 2017.
    3. Cantelmo, Alessandro & Melina, Giovanni & Papageorgiou, Chris, 2023. "Macroeconomic outcomes in disaster-prone countries," Journal of Development Economics, Elsevier, vol. 161(C).
    4. Fernández-Villaverde, J. & Rubio-Ramírez, J.F. & Schorfheide, F., 2016. "Solution and Estimation Methods for DSGE Models," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 527-724, Elsevier.
    5. Alessandro Cantelmo, 2022. "Rare Disasters, the Natural Interest Rate and Monetary Policy," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 84(3), pages 473-496, June.
    6. Olivier Wang & Iván Werning, 2022. "Dynamic Oligopoly and Price Stickiness," American Economic Review, American Economic Association, vol. 112(8), pages 2815-2849, August.
    7. Dennis, Richard, 2022. "Computing time-consistent equilibria: A perturbation approach," Journal of Economic Dynamics and Control, Elsevier, vol. 137(C).

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