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Bounded Interest Rate Feedback Rules in Continuous-Time

  • d'Albis, Hippolyte
  • Augeraud-Véron, Emmanuelle
  • Hupkes, Hermen Jan

This paper analyses 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.

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File URL: http://mpra.ub.uni-muenchen.de/45424/1/MPRA_paper_45424.pdf
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File URL: http://mpra.ub.uni-muenchen.de/52145/1/MPRA_paper_52145.pdf
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 45424.

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Date of creation: 07 Mar 2013
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Handle: RePEc:pra:mprapa:45424
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  1. Athanasios Orphanides, 2001. "Monetary Policy Rules Based on Real-Time Data," American Economic Review, American Economic Association, vol. 91(4), pages 964-985, September.
  2. 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.
  3. Charles T. Carlstrom & Timothy S. Fuerst, 2003. "Investment and interest rate policy: a discrete time analysis," Working Paper 0320, Federal Reserve Bank of Cleveland.
  4. John H. Cochrane, 2011. "Determinacy and Identification with Taylor Rules," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 565 - 615.
  5. Woodford, Michael, 1999. "Optimal Monetary Policy Inertia," Manchester School, University of Manchester, vol. 67(0), pages 1-35, Supplemen.
  6. Richard Clarida & Jordi Gali & Mark Gertler, 1997. "Monetary Policy Rules in Practice: Some International Evidence," NBER Working Papers 6254, National Bureau of Economic Research, Inc.
  7. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 1998. "Monetary policy and multiple equilibria," Finance and Economics Discussion Series 1998-29, Board of Governors of the Federal Reserve System (U.S.).
  8. Hippolyte D'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2013. "Multiple Solutions in Systems of Functional Differential Equations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00786419, HAL.
  9. repec:hal:journl:halshs-00786419 is not listed on IDEAS
  10. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2003. "Backward-looking interest-rate rules, interest-rate smoothing, and macroeconomic instability," Working Papers 03-4, Federal Reserve Bank of Philadelphia.
  11. 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.
  12. Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2013. "Multiple Solutions in Systems of Functional Differential Equations," Documents de travail du Centre d'Economie de la Sorbonne 13007, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  13. 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.
  14. Raouf Boucekkine & David de la Croix & Omar Licandro, . "Modelling vintage structures with DDEs: Principles and applications," Working Papers 2004-07, FEDEA.
  15. 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.
  16. Batini, Nicoletta & Nelson, Edward, 2000. "Optimal Horizons for Inflation Targeting," Working Paper Series 103, Sveriges Riksbank (Central Bank of Sweden).
  17. Batini, Nicoletta & Levine, Paul & Pearlman, Joseph G., 2004. "Indeterminacy with inflation-forecast-based rules in a two-bloc model," Working Paper Series 0340, European Central Bank.
  18. Nicoletta Batini & Joe Pearlman, 2002. "Too Much Too Soon: Instability and Indeterminacy with Forward-Looking Rules," Computing in Economics and Finance 2002 182, Society for Computational Economics.
  19. repec:cor:louvrp:2449 is not listed on IDEAS
  20. Bennett T. McCallum, 1982. "Price Level Determinacy with an Interest Rate Policy Rule and Rational Expectations," NBER Working Papers 0559, National Bureau of Economic Research, Inc.
  21. Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2012. "Discontinuous Initial Value Problems for Functional Differential-Algebraic Equations of Mixed Type," Documents de travail du Centre d'Economie de la Sorbonne 12043, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  22. Clarida, R. & Gali, J. & Gertler, M., 1998. "Monetary Policy Rules and Macroeconomic Stability: Evidence and some Theory," Working Papers 98-01, C.V. Starr Center for Applied Economics, New York University.
  23. Richard Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary policy rules in practice," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  24. Nicoletta Batini & Alejandro Justiniano & Paul Levine & Joseph Pearlman, 2004. "Robust Inflation-Forecast-Based Rules to Shield against Indeterminacy," School of Economics Discussion Papers 0804, School of Economics, University of Surrey.
  25. Bernanke, Ben S & Woodford, Michael, 1997. "Inflation Forecasts and Monetary Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 653-84, November.
  26. Bill Dupor, 2000. "Investment and Interest Rate Policy," Econometric Society World Congress 2000 Contributed Papers 0007, Econometric Society.
  27. Charles T. Carlstrom & Timothy S. Fuerst, 2000. "Forward-looking versus backward-looking Taylor rules," Working Paper 0009, Federal Reserve Bank of Cleveland.
  28. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  29. Stefano Eusepi, 2005. "Comparing forecast-based and backward-looking Taylor rules: a "global" analysis," Staff Reports 198, Federal Reserve Bank of New York.
  30. Charles T. Carlstrom & Timothy S. Fuerst, 2001. "Timing and real indeterminacy in monetary models," Working Paper 9910R, Federal Reserve Bank of Cleveland.
  31. 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 241-54, April.
  32. 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.
  33. 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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