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Computation of solutions to dynamic models with occasionally binding constraints

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  • Holden, Tom

Abstract

We construct the first algorithm for the perfect foresight solution of otherwise linear models with occasionally binding constraints, with fixed terminal conditions, that is guaranteed to return a solution in finite time, if one exists. We also provide a proof of the inescapability of the “curse of dimensionality” for this problem when nothing is known a priori about the model. We go on to extend our algorithm to deal with stochastic simulation, other non-linearities, and future uncertainty. We show that the resulting algorithm produces fast and accurate simulations of a range of models with occasionally binding constraints.
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  • Holden, Tom, 2016. "Computation of solutions to dynamic models with occasionally binding constraints," EconStor Preprints 130143, ZBW - Leibniz Information Centre for Economics.
  • Handle: RePEc:zbw:esprep:130143
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    5. Enrique Mendoza & Sergio Villalvazo, 2020. "FiPIt: A Simple, Fast Global Method for Solving Models with Two Endogenous States & Occasionally Binding Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 37, pages 81-102, July.
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    7. Gauti B. Eggertsson & Sergey K. Egiev & Alessandro Lin & Josef Platzer & Luca Riva, 2020. "A Toolkit for Solving Models with a Lower Bound on Interest Rates of Stochastic Duration," NBER Working Papers 27878, National Bureau of Economic Research, Inc.
    8. Nadav Ben Zeev, 2019. "Identification of Sign-Dependency of Impulse Responses," Working Papers 1907, Ben-Gurion University of the Negev, Department of Economics.
    9. William John Tayler & Roy Zilberman, 2017. "Taxation, Credit Spreads and Liquidity Traps," Working Papers 173174116, Lancaster University Management School, Economics Department.
    10. Lepetyuk, Vadym & Maliar, Lilia & Maliar, Serguei, 2020. "When the U.S. catches a cold, Canada sneezes: A lower-bound tale told by deep learning," Journal of Economic Dynamics and Control, Elsevier, vol. 117(C).
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    12. Martin Bodenstein & James Hebden & Fabian Winkler, 2019. "Learning and Misperception: Implications for Price-Level Targeting," Finance and Economics Discussion Series 2019-078, Board of Governors of the Federal Reserve System (U.S.).
    13. Shifu Jiang, 2017. "The Ramsey Cooperative and Non-Cooperative Unconventional Monetary Policy," FIW Working Paper series 180, FIW.
    14. Tom D. Holden & Paul Levine & Jonathan M. Swarbrick, 2020. "Credit Crunches from Occasionally Binding Bank Borrowing Constraints," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 52(2-3), pages 549-582, March.
    15. Kollmann, Robert, 2020. "Rational Bubbles in Non-Linear Business Cycle Models: Closed and Open Economies," CEPR Discussion Papers 14367, C.E.P.R. Discussion Papers.
    16. Böhl, Gregor & Strobel, Felix, 2020. "US business cycle dynamics at the zero lower bound," Discussion Papers 65/2020, Deutsche Bundesbank.
    17. Kollmann, Robert, 2020. "Global Liquidity Traps," MPRA Paper 102324, University Library of Munich, Germany.
    18. Oliver de Groot & Ceyhun Bora Durdu & Enrique G. Mendoza, 2019. "Approximately Right?: Global v. Local Methods for Open-Economy Models with Incomplete Markets," NBER Working Papers 26426, National Bureau of Economic Research, Inc.
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    20. William John Tayler & Roy Zilberman, 2019. "Macroprudential Interventions in Liquidity Traps," Working Papers 257107351, Lancaster University Management School, Economics Department.
    21. Böhl, Gregor & Strobel, Felix, 2018. "Forward Guidance at the Zero Lower Bound: Curse and Blessing of Time-Inconsistency," VfS Annual Conference 2018 (Freiburg, Breisgau): Digital Economy 181526, Verein für Socialpolitik / German Economic Association.
    22. Oliver de Groot & C. Bora Durdu & Enrique G. Mendoza, 2019. "Global v. Local Methods in the Analysis of Open-Economy Models with Incomplete Markets," Working Papers 201916, University of Liverpool, Department of Economics.

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    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit

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