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Liquidity Trap and Stability of Taylor Rules

Author

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  • Antoine Le Riche

    () (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Francesco Magris

    (CAC-IXXI, Complex Systems Institute, LEO - Laboratoire d'Économie d'Orleans - CNRS - Centre National de la Recherche Scientifique - Université de Tours - UO - Université d'Orléans)

  • Antoine Parent

    () (LAET - Laboratoire Aménagement Économie Transports - UL2 - Université Lumière - Lyon 2 - ENTPE - École Nationale des Travaux Publics de l'État - CNRS - Centre National de la Recherche Scientifique, IEP Lyon - Sciences Po Lyon - Institut d'études politiques de Lyon - Université de Lyon, CAC-IXXI, Complex Systems Institute)

Abstract

We study a productive economy with fractional cash-in-advance constraint on consumption expenditures. Government issues safe bonds and levies taxes to finance public expenditures, while the Central Bank follows a feedback Taylor rules by pegging the nominal interest rate. We show that when the nominal interest rate is bound to be non-negative, under active policy rules a Liquidity Trap steady state does emerge besides the Leeper (1991) equilibrium. The stability of the two steady states depends, in turn, upon the amplitude of the liquidity constraint. When the share of consumption to be paid cash is set lower than one half, the Liquidity Trap equilibrium is indeterminate. The stability of the Leeper equilibrium too depends dramatically upon the amplitude of the liquidity constraint: for low amplitudes of the latter, the Leeper equilibrium, can be indeed stable. Policy and Taylor rules are thus theoretically rehabilitated since their targets, by contrast with a vast literature, may be reached for infinitely many agents' beliefs. We also show that a relaxation of the liquidity constraint is Pareto-improving and that the Liquidity Trap equilibrium Pareto-dominates the Leeper one, in view of the zero cost of money.

Suggested Citation

  • Antoine Le Riche & Francesco Magris & Antoine Parent, 2016. "Liquidity Trap and Stability of Taylor Rules," Working Papers halshs-01313002, HAL.
  • Handle: RePEc:hal:wpaper:halshs-01313002
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01313002v2
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    References listed on IDEAS

    as
    1. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January.
    2. Caggiano, Giovanni & Castelnuovo, Efrem & Damette, Olivier & Parent, Antoine & Pellegrino, Giovanni, 2017. "Liquidity traps and large-scale financial crises," Journal of Economic Dynamics and Control, Elsevier, vol. 81(C), pages 99-114.
    3. Svensson, Lars-E-O, 2001. "The Zero Bound in an Open Economy: A Foolproof Way of Escaping from a Liquidity Trap," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 19(S1), pages 277-312, February.
    4. Coenen Günter & Orphanides Athanasios & Wieland Volker, 2004. "Price Stability and Monetary Policy Effectiveness when Nominal Interest Rates are Bounded at Zero," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-25, February.
    5. Stefano Bosi & Guido Cazzavillan & Francesco Magris, 2005. "Plausibility of Indeterminacy and Complex Dynamics," Annals of Economics and Statistics, GENES, issue 78, pages 103-115.
    6. Damette, Olivier & Parent, Antoine, 2016. "Did the Fed follow an implicit McCallum rule during the Great Depression?," Economic Modelling, Elsevier, vol. 52(PA), pages 226-232.
    7. Leeper, Eric M., 1991. "Equilibria under 'active' and 'passive' monetary and fiscal policies," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 129-147, February.
    8. Airaudo, Marco & Zanna, Luis-Felipe, 2012. "Interest rate rules, endogenous cycles, and chaotic dynamics in open economies," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1566-1584.
    9. Gandolfi, Arthur E, 1974. "Stability of the Demand for Money during the Great Contraction-1929-1933," Journal of Political Economy, University of Chicago Press, vol. 82(5), pages 969-983, Sept./Oct.
    10. Clarida, Richard & Gali, Jordi & Gertler, Mark, 1998. "Monetary policy rules in practice Some international evidence," European Economic Review, Elsevier, vol. 42(6), pages 1033-1067, June.
    11. Bullard, James & Russell, Steven, 1999. "An empirically plausible model of low real interest rates and unbacked government debt," Journal of Monetary Economics, Elsevier, vol. 44(3), pages 477-508, December.
    12. Stephanie Schmitt‐Grohé & Martín Uribe, 2009. "Liquidity traps with global Taylor Rules," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 85-106, March.
    13. Kudoh, Noritaka & Nguyen, Hong Thang, 2010. "Monetary Policy Rules and the Effects of Fiscal Policy," Discussion paper series. A 220, Graduate School of Economics and Business Administration, Hokkaido University.
    14. Milton Friedman & Anna J. Schwartz, 1963. "A Monetary History of the United States, 1867–1960," NBER Books, National Bureau of Economic Research, Inc, number frie63-1, March.
    15. Hanes, Christopher, 2006. "The Liquidity Trap and U.S. Interest Rates in the 1930s," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(1), pages 163-194, February.
    16. repec:adr:anecst:y:2005:i:78:p:05 is not listed on IDEAS
    17. Schmitt-Grohe, Stephanie & Uribe, Martin, 2000. "Price level determinacy and monetary policy under a balanced-budget requirement," Journal of Monetary Economics, Elsevier, vol. 45(1), pages 211-246, February.
    18. Paul R. Krugman, 1998. "It's Baaack: Japan's Slump and the Return of the Liquidity Trap," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(2), pages 137-206.
    19. Romer, Christina D., 1992. "What Ended the Great Depression?," The Journal of Economic History, Cambridge University Press, vol. 52(4), pages 757-784, December.
    20. Luis-Felipe Zanna & Marco Airaudo, 2012. "Interest Rate Rules, Endogenous Cycles, and Chaotic Dynamics in Open Economies," IMF Working Papers 2012/121, International Monetary Fund.
    21. Cazzavillan, Guido & Lloyd-Braga, Teresa & Pintus, Patrick A., 1998. "Multiple Steady States and Endogenous Fluctuations with Increasing Returns to Scale in Production," Journal of Economic Theory, Elsevier, vol. 80(1), pages 60-107, May.
    22. repec:adr:anecst:y:2005:i:78 is not listed on IDEAS
    23. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
    24. Peter F. Basile & John Landon-Lane & Hugh Rockoff, 2010. "Money and Interest Rates in the United States during the Great Depression," NBER Working Papers 16204, National Bureau of Economic Research, Inc.
    25. Karl Brunner & Allan H. Meltzer, 1968. "Liquidity Traps for Money, Bank Credit, and Interest Rates," Journal of Political Economy, University of Chicago Press, vol. 76, pages 1-1.
    26. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
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    Cited by:

    1. Barnett, William A. & Bella, Giovanni & Ghosh, Taniya & Mattana, Paolo & Venturi, Beatrice, 2019. "Shilnikov Chaos, Low Interest Rates, And New Keynesian Macroeconomics," Studies in Applied Economics 142, The Johns Hopkins Institute for Applied Economics, Global Health, and the Study of Business Enterprise.
    2. Daria ONORI & Francesco MAGRIS & Antoine LE RICHE, 2017. "Monetary Rules in a Two-Sector Endogenous Growth Model with Cash-in-Advance Constraint," LEO Working Papers / DR LEO 2504, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
    3. Antoine Riche & Francesco Magris & Daria Onori, 2020. "Monetary rules in a two-sector endogenous growth model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(4), pages 1049-1100, June.

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    More about this item

    Keywords

    liquidity trap; cash-in-advance; monetary policy; multiple equilibria;
    All these keywords.

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • 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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