IDEAS home Printed from https://ideas.repec.org/p/sce/scecf1/259.html
   My bibliography  Save this paper

Chaotic Interest Rate Rules

Author

Listed:
  • Benhabib, Jess
  • Schmitt-Grohe, Stephanie
  • Uribe, Martin

Abstract

When the Central Bank sets nominal rates as a a non-decreasing function of the inflation rate to stabilize the economy, that is it uses a Taylor Rule, the zero lower bound on interest rates may result in multiple equilibria and a liquidity trap. However, if fiscal policy is non-Ricardian, or alternatively if monetary policy targets the growth rate of money when inflation is too low, in certain cases the uniqueness of the desirable equilibrium can be restored. This suggests the use of non-Ricardian fiscal policies for stabilization purposes. However, in this paper we show that such policies may fail in models calibrated to the US economy. While local uniqueness of all steady states may be achieved, bounded chaotic multiple equilibria in nominal interest rates and the inflation rate may well emerge as a result of Taylor rules despite non-Ricardian policies

Suggested Citation

  • Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "Chaotic Interest Rate Rules," Computing in Economics and Finance 2001 259, Society for Computational Economics.
    • Handle: RePEc:sce:scecf1:259
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    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. Carlstrom, Charles T. & Fuerst, Timothy S., 2004. "Learning and the central bank," Journal of Monetary Economics, Elsevier, vol. 51(2), pages 327-338, March.
    3. Julio J. Rotemberg & Michael Woodford, 1999. "Interest Rate Rules in an Estimated Sticky Price Model," NBER Chapters, in: Monetary Policy Rules, pages 57-126, National Bureau of Economic Research, Inc.
    4. Carlstrom, Charles T. & Fuerst, Timothy S., 2001. "Timing and real indeterminacy in monetary models," Journal of Monetary Economics, Elsevier, vol. 47(2), pages 285-298, April.
    5. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 147-180.
    6. Stephanie Schmitt-Grohe & Jess Benhabib & Martin Uribe, 2001. "Monetary Policy and Multiple Equilibria," American Economic Review, American Economic Association, vol. 91(1), pages 167-186, March.
    7. Evans, George W. & Honkapohja, Seppo, 2003. "Existence of adaptively stable sunspot equilibria near an indeterminate steady state," Journal of Economic Theory, Elsevier, vol. 111(1), pages 125-134, July.
    8. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Avoiding Liquidity Traps," Journal of Political Economy, University of Chicago Press, vol. 110(3), pages 535-563, June.
    9. anonymous, 1980. "What’s wrong with macroeconomics," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 4(Sum).
    10. 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.
    11. Richard H. Clarida & Mark Gertler, 1997. "How the Bundesbank Conducts Monetary Policy," NBER Chapters, in: Reducing Inflation: Motivation and Strategy, pages 363-412, National Bureau of Economic Research, Inc.
    12. John B. Taylor, 1999. "A Historical Analysis of Monetary Policy Rules," NBER Chapters, in: Monetary Policy Rules, pages 319-348, National Bureau of Economic Research, Inc.
    13. 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.
    14. James N. Duprey, 1980. "The search for a stable money demand equation," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 4(Sum).
    15. Calvo, Guillermo A, 1979. "On Models of Money and Perfect Foresight," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(1), pages 83-103, February.
    16. Dupor, Bill, 2001. "Investment and Interest Rate Policy," Journal of Economic Theory, Elsevier, vol. 98(1), pages 85-113, May.
    17. 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.
    18. 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.
    19. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
    20. Michael Woodford, 1998. "Control of the Public Debt: A Requirement for Price Stability?," International Economic Association Series, in: Guillermo Calvo & Mervyn King (ed.), The Debt Burden and its Consequences for Monetary Policy, chapter 5, pages 117-158, Palgrave Macmillan.
    21. Stephen M. Goldfeld, 1973. "The Demand for Money Revisited," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 4(3), pages 577-646.
    22. Charles T. Carlstrom & Timothy S. Fuerst, 2000. "Forward-looking versus backward-looking Taylor rules," Working Papers (Old Series) 0009, Federal Reserve Bank of Cleveland.
    23. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, March.
    24. Honkapohja, Seppo & Mitra, Kaushik, 2004. "Are non-fundamental equilibria learnable in models of monetary policy?," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1743-1770, November.
    25. Lawrence J. Christiano & Massimo Rostagno, 2001. "Money Growth Monitoring and the Taylor Rule," NBER Working Papers 8539, National Bureau of Economic Research, Inc.
    26. Rotemberg, Julio J & Woodford, Michael, 1992. "Oligopolistic Pricing and the Effects of Aggregate Demand on Economic Activity," Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1153-1207, December.
    27. Taylor, John B, 1977. "Conditions for Unique Solutions in Stochastic Macroeconomic Models with Rational Expectations," Econometrica, Econometric Society, vol. 45(6), pages 1377-1385, September.
    28. 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.
    29. Fischer, Stanley, 1974. "Money and the Production Function," Economic Inquiry, Western Economic Association International, vol. 12(4), pages 517-533, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2004. "Chaotic Interest Rate Rules: Expanded Version," NBER Working Papers 10272, National Bureau of Economic Research, Inc.
    2. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2003. "Backward-looking interest-rate rules, interest-rate smoothing, and macroeconomic instability," Proceedings, Federal Reserve Bank of Cleveland, pages 1379-1423.
    3. 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.
    4. Stephanie Schmitt-Grohe & Jess Benhabib & Martin Uribe, 2001. "Monetary Policy and Multiple Equilibria," American Economic Review, American Economic Association, vol. 91(1), pages 167-186, March.
    5. Chang, Wen-ya & Tsai, Hsueh-fang & Chang, Juin-jen, 2011. "Interest rate rules and macroeconomic stability with transaction costs," International Review of Economics & Finance, Elsevier, vol. 20(4), pages 744-749, October.
    6. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Avoiding Liquidity Traps," Journal of Political Economy, University of Chicago Press, vol. 110(3), pages 535-563, June.
    7. Ming-fu Shaw & Shu-hua Chen & Ching-chong Lai & Juin-jen Chang, 2004. "Interest Rate Rules, Target Policies, and Endogenous Economic Growth in an Open Economy," IEAS Working Paper : academic research 04-A004, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    8. Stefano Eusepi, 2005. "Comparing forecast-based and backward-looking Taylor rules: a "global" analysis," Staff Reports 198, Federal Reserve Bank of New York.
    9. 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.
    10. Schmitt-Grohe, Stephanie & Uribe, Martin, 2007. "Optimal simple and implementable monetary and fiscal rules," Journal of Monetary Economics, Elsevier, vol. 54(6), pages 1702-1725, September.
    11. d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014. "Bounded interest rate feedback rules in continuous-time," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 227-236.
    12. Jagjit S. Chadha & Luisa Corrado, 2006. "On the Determinacy of Monetary Policy under Expectational Errors," CDMA Working Paper Series 200603, Centre for Dynamic Macroeconomic Analysis, revised 15 Apr 2007.
    13. McCallum, Bennett T., 2003. "Multiple-solution indeterminacies in monetary policy analysis," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1153-1175, July.
    14. Lubik, Thomas A. & Marzo, Massimiliano, 2007. "An inventory of simple monetary policy rules in a New Keynesian macroeconomic model," International Review of Economics & Finance, Elsevier, vol. 16(1), pages 15-36.
    15. 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.
    16. Huang, Kevin X.D. & Meng, Qinglai, 2007. "Capital and macroeconomic instability in a discrete-time model with forward-looking interest rate rules," Journal of Economic Dynamics and Control, Elsevier, vol. 31(8), pages 2802-2826, August.
    17. Andreas Schabert, 2006. "Central Bank Instruments, Fiscal Policy Regimes, and the Requirements for Equilibrium Determinacy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(4), pages 742-762, October.
    18. Chen, Shu-hua & Shaw, Ming-fu & Lai, Ching-chong & Chang, Juin-jen, 2008. "Interest-rate rules and transitional dynamics in an endogenously growing open economy," Journal of International Money and Finance, Elsevier, vol. 27(1), pages 54-75, February.
    19. Rostagno, Massimo & Altavilla, Carlo & Carboni, Giacomo & Lemke, Wolfgang & Motto, Roberto & Saint Guilhem, Arthur & Yiangou, Jonathan, 2019. "A tale of two decades: the ECB’s monetary policy at 20," Working Paper Series 2346, European Central Bank.
    20. Loisel, O., 2006. "Bubble-free interest-rate rules," Working papers 161, Banque de France.

    More about this item

    Keywords

    Multiple equilibria; Taylor Rules; Chaos;
    All these keywords.

    JEL classification:

    • 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

    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:sce:scecf1:259. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Christopher F. Baum (email available below). General contact details of provider: https://edirc.repec.org/data/sceeeea.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.