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Computation of solutions to dynamic models with occasionally binding constraints

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  • Holden, Tom D.

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.

Suggested Citation

  • Holden, Tom D., 2016. "Computation of solutions to dynamic models with occasionally binding constraints," EconStor Preprints 144569, ZBW - Leibniz Information Centre for Economics.
  • Handle: RePEc:zbw:esprep:144569
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    References listed on IDEAS

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    1. Tom Holden & Michael Paetz, 2012. "Efficient Simulation of DSGE Models with Inequality Constraints," Quantitative Macroeconomics Working Papers 21207b, Hamburg University, Department of Economics.
    2. Schmitt-Grohe, Stephanie & Uribe, Martin, 2003. "Closing small open economy models," Journal of International Economics, Elsevier, vol. 61(1), pages 163-185, October.
    3. Tom Holden, 2010. "Products, patents and productivity persistence: A DSGE model of endogenous growth," Economics Series Working Papers 512, University of Oxford, Department of Economics.
    4. 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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    6. Guerrieri, Luca & Iacoviello, Matteo, 2015. "OccBin: A toolkit for solving dynamic models with occasionally binding constraints easily," Journal of Monetary Economics, Elsevier, vol. 70(C), pages 22-38.
    7. Lan, Hong & Meyer-Gohde, Alexander, 2013. "Solving DSGE models with a nonlinear moving average," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2643-2667.
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    13. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
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    Citations

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    Cited by:

    1. Shifu Jiang, 2017. "The Ramsey Cooperative and Non-Cooperative Unconventional Monetary Policy," FIW Working Paper series 180, FIW.
    2. 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.
    3. Darracq Pariès, Matthieu & Kühl, Michael, 2016. "The optimal conduct of central bank asset purchases," Working Paper Series 1973, European Central Bank.
    4. Matthieu Darracq Paries, 2018. "Financial frictions and monetary policy conduct," Erudite Ph.D Dissertations, Erudite, number ph18-01 edited by Ferhat Mihoubi, May.
    5. 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.
    6. Nadav Ben Zeev, 2019. "Asymmetric Business Cycles In Emerging Market Economies," Working Papers 1909, Ben-Gurion University of the Negev, Department of Economics.
    7. 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.
    8. 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.
    9. Gauti 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," Working Papers 2020-14, Brown University, Department of Economics.
    10. William John Tayler & Roy Zilberman, 2019. "Macroprudential Interventions in Liquidity Traps," Working Papers 257107351, Lancaster University Management School, Economics Department.
    11. Nadav Ben Zeev, 2019. "Identification of Sign-Dependency of Impulse Responses," Working Papers 1907, Ben-Gurion University of the Negev, Department of Economics.
    12. William John Tayler & Roy Zilberman, 2017. "Taxation, Credit Spreads and Liquidity Traps," Working Papers 173174116, Lancaster University Management School, Economics Department.
    13. Böhl, Gregor & Strobel, Felix, 2018. "Forward Guidance at the Zero Lower Bound: Curse and Blessing of Time-Inconsistency," Annual Conference 2018 (Freiburg, Breisgau): Digital Economy 181526, Verein für Socialpolitik / German Economic Association.
    14. 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.
    15. 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.).

    More about this item

    Keywords

    occasionally binding constraints; zero lower bound; computation; DSGE; linear complementarity problem;

    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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