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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/49969/1/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. Richard Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," NBER Working Papers 6442, National Bureau of Economic Research, Inc.
  2. Batini, Nicoletta & Nelson, Edward, 2000. "Optimal Horizons for Inflation Targeting," Working Paper Series 103, Sveriges Riksbank (Central Bank of Sweden).
  3. 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.
  4. Charles T. Carlstrom & Timothy S. Fuerst, 2000. "Forward-looking versus backward-looking Taylor rules," Working Paper 0009, Federal Reserve Bank of Cleveland.
  5. 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.
  6. 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.
  7. BOUCEKKINE, Raouf & DE LA CROIX, David & LICANDRO, Omar, . "Modelling vintage structures with DDEs: principles and applications," CORE Discussion Papers RP -1758, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. 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.
  9. Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 2003. "Backward-Looking Interest Rate Rules, Interest Rate Smoothing and Macroeconomic Instability," CEPR Discussion Papers 3928, C.E.P.R. Discussion Papers.
  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. Levine, Paul & McAdam, Peter & Pearlman, Joseph G., 2006. "Inflation forecast-based-rules and indeterminacy: a puzzle and a resolution," Working Paper Series 0643, European Central Bank.
  12. Ben S. Bernanke & Michael Woodford, 1997. "Inflation Forecasts and Monetary Policy," NBER Working Papers 6157, National Bureau of Economic Research, Inc.
  13. Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 1999. "Monetary Policy and Multiple Equilibria," CEPR Discussion Papers 2316, C.E.P.R. Discussion Papers.
  14. 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.
  15. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  16. John H. Cochrane, 2007. "Determinacy and Identification with Taylor Rules," NBER Working Papers 13409, National Bureau of Economic Research, Inc.
  17. repec:hal:journl:halshs-00786419 is not listed on IDEAS
  18. Bill Dupor, 2000. "Investment and Interest Rate Policy," Econometric Society World Congress 2000 Contributed Papers 0007, Econometric Society.
  19. Charles T. Carlstrom & Timothy S. Fuerst, 2003. "Investment and interest rate policy: a discrete time analysis," Working Paper 0320, Federal Reserve Bank of Cleveland.
  20. 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.
  21. repec:cor:louvrp:2449 is not listed on IDEAS
  22. Richard Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary policy rules in practice," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  23. 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.
  24. 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.
  25. Michael Woodford, 1999. "Optimal Monetary Policy Inertia," NBER Working Papers 7261, National Bureau of Economic Research, Inc.
  26. Charles T. Carlstrom & Timothy S. Fuerst, 2001. "Timing and real indeterminacy in monetary models," Working Paper 9910R, Federal Reserve Bank of Cleveland.
  27. 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.
  28. 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.
  29. 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.
  30. 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.
  31. 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.
  32. Stefano Eusepi, 2005. "Comparing forecast-based and backward-looking Taylor rules: a "global" analysis," Staff Reports 198, Federal Reserve Bank of New York.
  33. Athanasios Orphanides, 2001. "Monetary Policy Rules Based on Real-Time Data," American Economic Review, American Economic Association, vol. 91(4), pages 964-985, September.
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