[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/hal-01015388.html
   My bibliography  Save this paper

Bounded interest rate feedback rules in continuous-time

Author

Listed:
  • Hippolyte d'Albis

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Emmanuelle Augeraud-Véron

    (MIA - Mathématiques, Image et Applications - EA 3165 - ULR - La Rochelle Université)

  • Hermen Jan Hupkes

    (Mathematical institute - Universiteit Leiden = Leiden University)

Abstract
This paper analyzes the dynamic consequences of interest rate feedback rules in a flexible-price model where money enters the utility function. Two alternative rules are considered based on past or predicted inflation rates. The main feature is to consider inflation rates that are selected over a bounded time horizon. We prove that if the Central Bank's forecast horizon is not too long, an active and forward-looking monetary policy is not destabilizing: the equilibrium trajectory is unique and monotonic. This is an advantage with respect to active and backward-looking policies that are shown to lead to a unique but fluctuating dynamic.

Suggested Citation

  • Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2014. "Bounded interest rate feedback rules in continuous-time," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01015388, HAL.
    • Handle: RePEc:hal:cesptp:hal-01015388
    DOI: 10.1016/j.jedc.2013.12.002
    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. Nicoletta Batini & Paul Levine & Joseph Pearlman, 2003. "Indeterminacy with inflation-forecast-cased rules in a two-bloc model," Proceedings, Board of Governors of the Federal Reserve System (U.S.).
    2. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014. "Multiple solutions in systems of functional differential equations," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 50-56.
    3. John H. Cochrane, 2011. "Determinacy and Identification with Taylor Rules," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 565-615.
    4. 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.
    5. Batini, Nicoletta & Nelson, Edward, 2001. "Optimal horizons for inflation targeting," Journal of Economic Dynamics and Control, Elsevier, vol. 25(6-7), pages 891-910, June.
    6. Ben S. Bernanke & Michael Woodford, 1997. "Inflation forecasts and monetary policy," Proceedings, Federal Reserve Bank of Cleveland, pages 653-686.
    7. Athanasios Orphanides, 2001. "Monetary Policy Rules Based on Real-Time Data," American Economic Review, American Economic Association, vol. 91(4), pages 964-985, September.
    8. 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.
    9. Stefano Eusepi, 2005. "Comparing forecast-based and backward-looking Taylor rules: a "global" analysis," Staff Reports 198, Federal Reserve Bank of New York.
    10. Carlstrom, Charles T. & Fuerst, Timothy S., 2005. "Investment and interest rate policy: a discrete time analysis," Journal of Economic Theory, Elsevier, vol. 123(1), pages 4-20, July.
    11. Charles T. Carlstrom & Timothy S. Fuerst, 2000. "Forward-looking versus backward-looking Taylor rules," Working Papers (Old Series) 0009, Federal Reserve Bank of Cleveland.
    12. 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.
    13. BOUCEKKINE, Raouf & FABBRI, Giorgio & PINTUS, Patrick, 2012. "On the optimal control of a linear neutral differential equation arising in economics," LIDAM Reprints CORE 2449, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Dupor, Bill, 2001. "Investment and Interest Rate Policy," Journal of Economic Theory, Elsevier, vol. 98(1), pages 85-113, May.
    15. Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2012. "Discontinuous Initial Value Problems for Funtional Differential-Algebraic Equations of Mixed Type," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00717412, HAL.
    16. Michael Woodford, 1999. "Optimal Monetary Policy Inertia," Manchester School, University of Manchester, vol. 67(s1), pages 1-35.
    17. 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.
    18. Paul Levine & Peter McAdam & Joseph Pearlman, 2007. "Inflation-Forecast-Based Rules and Indeterminacy: A Puzzle and a Resolution," International Journal of Central Banking, International Journal of Central Banking, vol. 3(4), pages 77-110, December.
    19. Raouf Boucekkine & David Croix & Omar Licandro, 2004. "MODELLING VINTAGE STRUCTURES WITH DDEs: PRINCIPLES AND APPLICATIONS," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(3-4), pages 151-179.
    20. 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.
    21. 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.
    22. Benhabib, Jess, 2004. "Interest Rate Policy in Continuous Time with Discrete Delays," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(1), pages 1-15, February.
    23. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-254, April.
    24. Richard H. Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary policy rules in practice," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
    25. Raouf Boucekkine & Giorgio Fabbri & Patrick-Antoine Pintus, 2011. "On the optimal control of a linear neutral differential equation arising in economics," Working Papers halshs-00576770, HAL.
    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.
    27. Batini, Nicoletta & Justiniano, Alejandro & Levine, Paul & Pearlman, Joseph, 2006. "Robust inflation-forecast-based rules to shield against indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1491-1526.
    28. 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.
    29. McCallum, Bennett T., 1981. "Price level determinacy with an interest rate policy rule and rational expectations," Journal of Monetary Economics, Elsevier, vol. 8(3), pages 319-329.
    30. repec:cor:louvrp:-1758 is not listed on IDEAS
    31. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
    32. repec:bla:manchs:v:67:y:1999:i:0:p:1-35 is not listed on IDEAS
    33. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448, Elsevier.
    34. repec:cor:louvrp:-2449 is not listed on IDEAS
    35. Nicoletta Batini & Joseph Pearlman, 2002. "Too Much Too Soon: Instability and Indeterminacy with Forward-Looking Rules," Discussion Papers 08, Monetary Policy Committee Unit, Bank of England.
    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. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014. "Multiple solutions in systems of functional differential equations," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 50-56.

    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. Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2012. "Backward- versus Forward-Looking Feedback Interest Rate Rules," Documents de travail du Centre d'Economie de la Sorbonne 12051, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    2. 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.
    3. Loisel, O., 2006. "Bubble-free interest-rate rules," Working papers 161, Banque de France.
    4. Huang, Kevin X.D. & Meng, Qinglai & Xue, Jianpo, 2009. "Is forward-looking inflation targeting destabilizing? The role of policy's response to current output under endogenous investment," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 409-430, February.
    5. 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.
    6. 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.
    7. Jess Benhabib & Stephanie Schmitt-Grohé & Martín Uribe, 2002. "Chaotic Interest-Rate Rules," American Economic Review, American Economic Association, vol. 92(2), pages 72-78, May.
    8. James Bullard & Kaushik Mitra, 2007. "Determinacy, Learnability, and Monetary Policy Inertia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(5), pages 1177-1212, August.
    9. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2004. "Chaotic Interest Rate Rules: Expanded Version," NBER Working Papers 10272, National Bureau of Economic Research, Inc.
    10. Loisel, Olivier, 2021. "The implementation of stabilization policy," Theoretical Economics, Econometric Society, vol. 16(2), May.
    11. 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.
    12. Stefano Eusepi, 2005. "Comparing forecast-based and backward-looking Taylor rules: a "global" analysis," Staff Reports 198, Federal Reserve Bank of New York.
    13. 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.
    14. Leith, Campbell & von Thadden, Leopold, 2008. "Monetary and fiscal policy interactions in a New Keynesian model with capital accumulation and non-Ricardian consumers," Journal of Economic Theory, Elsevier, vol. 140(1), pages 279-313, May.
    15. Bernardino Adão & Isabel Correia & Pedro Teles, 2004. "Monetary policy with single instrument feedback rules," Working Paper Series WP-04-30, Federal Reserve Bank of Chicago.
    16. 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.
    17. Christian A. Stoltenberg, 2012. "Real Balance Effects, Timing, and Equilibrium Determination," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(5), pages 981-994, August.
    18. Klaus Masuch & Sergio Nicoletti-Altimari & Massimo Rostagno & Huw Pill, 2003. "The role of money in monetary policymaking," BIS Papers chapters, in: Bank for International Settlements (ed.), Monetary policy in a changing environment, volume 19, pages 158-191, Bank for International Settlements.
    19. De Fiore, Fiorella & Liu, Zheng, 2005. "Does trade openness matter for aggregate instability?," Journal of Economic Dynamics and Control, Elsevier, vol. 29(7), pages 1165-1192, July.
    20. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.

    More about this item

    Keywords

    Interest rate rules; Indeterminacy; Functionnal equations;
    All these keywords.

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

    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:hal:cesptp:hal-01015388. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.