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Existence and uniqueness of solutions to dynamic models with occasionally binding constraints

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  • Holden, Tom D.

Abstract

Policy makers would like to prevent self-fulfilling fluctuations. Given the prevalence of occasionally binding constraints (OBCs) such as the zero lower bound (ZLB), this requires understanding the determinacy of models with OBCs. To this end, we derive existence and uniqueness conditions for otherwise linear models with OBCs. Our main result gives necessary and sufficient conditions for such a model to have a unique perfect foresight solution returning to a given steady state, for any initial condition. We show that while standard New Keynesian models with a ZLB possess multiple perfect-foresight paths eventually escaping the ZLB, price level targeting restores determinacy.

Suggested Citation

  • Holden, Tom D., 2019. "Existence and uniqueness of solutions to dynamic models with occasionally binding constraints," EconStor Preprints 144570, ZBW - Leibniz Information Centre for Economics.
  • Handle: RePEc:zbw:esprep:144570
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    Cited by:

    1. Szabolcs Deák & Paul Levine & Afrasiab Mirza & Joseph Pearlman, 2019. "Designing Robust Monetary Policy Using Prediction Pools," School of Economics Discussion Papers 1219, School of Economics, University of Surrey.
    2. 1 & 1 & 1, 2013. "," Working Papers 13/13, Department of Economics, City University London.
      • 1 & 1 & 1 & 1, 2019. "," Working Papers 19/11, Department of Economics, City University London.
    3. 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.).
    4. 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.
    5. 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.
    6. Gerke, Rafael & Giesen, Sebastian & Kienzler, Daniel & Tenhofen, Jörn, 2017. "Interest-rate pegs, central bank asset purchases and the reversal puzzle," Discussion Papers 21/2017, Deutsche Bundesbank.
    7. 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.

    More about this item

    Keywords

    occasionally binding constraints; zero lower bound; existence; uniqueness; price targeting;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • 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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