IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v88y2017icp16-27.html
   My bibliography  Save this article

Liquidity Trap and stability of Taylor rules

Author

Listed:
  • Le Riche, Antoine
  • Magris, Francesco
  • Parent, Antoine

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

  • Le Riche, Antoine & Magris, Francesco & Parent, Antoine, 2017. "Liquidity Trap and stability of Taylor rules," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 16-27.
  • Handle: RePEc:eee:matsoc:v:88:y:2017:i:c:p:16-27
    DOI: 10.1016/j.mathsocsci.2017.04.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165489617300689
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. repec:eee:dyncon:v:81:y:2017:i:c:p:99-114 is not listed on IDEAS
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. repec:adr:anecst:y:2005:i:78:p:05 is not listed on IDEAS
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. Romer, Christina D., 1992. "What Ended the Great Depression?," The Journal of Economic History, Cambridge University Press, vol. 52(04), pages 757-784, December.
    18. 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.
    19. 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.
    20. 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.
    21. Stefano Bosi & Guido Cazzavillan & Francesco Magris, 2005. "Plausibility of Indeterminacy and Complex Dynamics," Annals of Economics and Statistics, GENES, issue 78, pages 103-115.
    22. 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.
    23. repec:adr:anecst:y:2005:i:78 is not listed on IDEAS
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.

    More about this item

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matsoc:v:88:y:2017:i:c:p:16-27. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.elsevier.com/locate/inca/505565 .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.