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The Zero Lower Bound: Frequency, Duration, and Determinacy

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  • Alexander W. Richter
  • Nathaniel A. Throckmorton

Abstract

When monetary policy faces a zero lower bound (ZLB) constraint on the nominal interest rate, determinacy is not guaranteed even if the Taylor principle is satisfied when the ZLB does not bind. This paper shows the boundary of the determinacy region imposes a clear tradeoff between the expected frequency and average duration of ZLB events. We show this tradeoff using a global solution to a nonlinear New Keynesian model with two alternative stochastic processes?one where monetary policy follows a 2-state Markov chain, which exogenously governs whether the ZLB binds, and the other where ZLB events arise endogenously due to technology shocks. In both cases, the household accounts for the possibility of going to and exiting the ZLB in expectation. We quantify the expectation al effect of the ZLB and show it depends on the parameters of the stochastic process.

Suggested Citation

  • Alexander W. Richter & Nathaniel A. Throckmorton, 2013. "The Zero Lower Bound: Frequency, Duration, and Determinacy," Auburn Economics Working Paper Series auwp2013-16, Department of Economics, Auburn University.
  • Handle: RePEc:abn:wpaper:auwp2013-16
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    File URL: http://cla.auburn.edu/econwp/Archives/2013/2013-16.pdf
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Holden, Thomas, 2016. "Existence and uniqueness of solutions to dynamic models with occasionally binding constraints," EconStor Preprints 130142, ZBW - German National Library of Economics.
    2. Tambakis, Demosthenes N., 2014. "On the risk of long-run deflation," Economics Letters, Elsevier, vol. 122(2), pages 176-181.
    3. repec:aea:aejmac:v:9:y:2017:i:3:p:186-221 is not listed on IDEAS
    4. Alexander Richter & Nathaniel Throckmorton & Todd Walker, 2014. "Accuracy, Speed and Robustness of Policy Function Iteration," Computational Economics, Springer;Society for Computational Economics, vol. 44(4), pages 445-476, December.
    5. Fernández-Villaverde, Jesús & Gordon, Grey & Guerrón-Quintana, Pablo & Rubio-Ramírez, Juan F., 2015. "Nonlinear adventures at the zero lower bound," Journal of Economic Dynamics and Control, Elsevier, vol. 57(C), pages 182-204.
    6. Duarte, Fernando M. & Zabai, Anna, 2015. "An interest rate rule to uniquely implement the optimal equilibrium in a liquidity trap," Staff Reports 745, Federal Reserve Bank of New York.
    7. Schmidt, Sebastian & Nakata, Taisuke & Hills, Timothy, 2016. "The risky steady state and the interest rate lower bound," Working Paper Series 1913, European Central Bank.
    8. Taisuke Nakata & Sebastian Schmidt, 2014. "Conservatism and Liquidity Traps," UTokyo Price Project Working Paper Series 059, University of Tokyo, Graduate School of Economics, revised Jul 2015.
    9. Volker Hahn, 2017. "Policy Effects in a Simple Fully Non-Linear New Keynesian Model of the Liquidity Trap," Working Paper Series of the Department of Economics, University of Konstanz 2017-05, Department of Economics, University of Konstanz.
    10. Tambakis, Demosthenes N., 2015. "Determinate liquidity traps," Economics Letters, Elsevier, vol. 135(C), pages 126-132.
    11. Plante, Michael D. & Richter, Alexander & Throckmorton, Nathaniel, 2014. "The zero lower bound and endogenous uncertainty," Working Papers 1405, Federal Reserve Bank of Dallas.
    12. Atkinson, Tyler & Richter, Alexander & Throckmorton, Nathaniel, 2018. "The Accuracy of Linear and Nonlinear Estimation in the Presence of the Zero Lower Bound," Working Papers 1804, Federal Reserve Bank of Dallas.
    13. Holden, Tom D., 2016. "Existence, uniqueness and computation of solutions to dynamic models with occasionally binding constraints," EconStor Preprints 127430, ZBW - German National Library of Economics.

    More about this item

    Keywords

    Monetary policy; zero lower bound; determinacy; global solution method;

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

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