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A modified Taylor rule for dealing with demand shocks and uncertain potential macroeconomic output

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  • Alvarez-Ramirez, Jose
  • Ibarra-Valdez, Carlos
  • Fernandez-Anaya, Guillermo
  • Villarreal, Francisco

Abstract

A critical issue for central banks in modern economies is the inflation stabilization about a prescribed level. The best-known simple instrumental rule to guide monetary policy to control inflation is the Taylor rule, where the instrument (e.g., a short interest rate) responds to changes in the inflation and the output gaps. The objective of this paper is to introduce some modifications to the Taylor rule in order to improve its robustness with respect to uncertainties about potential output and unanticipated shocks. To this end, departing from feedback control theory, the Taylor rule is equipped with an adaptive control scheme to reject the adverse effects of shocks and to estimate the deviations of the potential output. It is shown that the proposed adaptation procedure is equivalent to a classical integral feedback controller whose characteristics and implementation issues are well understood in practical control engineering. Singular perturbation methods are used to establish the stability properties of the resulting control system.

Suggested Citation

  • Alvarez-Ramirez, Jose & Ibarra-Valdez, Carlos & Fernandez-Anaya, Guillermo & Villarreal, Francisco, 2008. "A modified Taylor rule for dealing with demand shocks and uncertain potential macroeconomic output," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1283-1300.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:5:p:1283-1300
    DOI: 10.1016/j.physa.2007.09.050
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    1. Svensson, Lars E O, 1997. "Optimal Inflation Targets, "Conservative" Central Banks, and Linear Inflation Contracts," American Economic Review, American Economic Association, vol. 87(1), pages 98-114, March.
    2. John B. Taylor, 1994. "The inflation/output variability trade-off revisited," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, vol. 38, pages 21-24.
    3. Bennett T. McCallum, 1987. "The case for rules in the conduct of monetary policy: a concrete example," Economic Review, Federal Reserve Bank of Richmond, vol. 73(Sep), pages 10-18.
    4. John B. Taylor, 1999. "Introduction to "Monetary Policy Rules"," NBER Chapters, in: Monetary Policy Rules, pages 1-14, National Bureau of Economic Research, Inc.
    5. Biederman, Daniel K., 2002. "Stabilizing properties of monetary feedback rules: A representative-agent approach," Journal of Economic Dynamics and Control, Elsevier, vol. 26(11), pages 1955-1974, September.
    6. John P. Judd & Glenn D. Rudebusch, 1998. "Taylor's rule and the Fed, 1970-1997," Economic Review, Federal Reserve Bank of San Francisco, pages 3-16.
    7. Robert L. Hetzel, 2000. "The Taylor rule : is it a useful guide to understanding monetary policy?," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 1-33.
    8. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    9. Black, Fischer, 1974. "Uniqueness of the price level in monetary growth models with rational expectations," Journal of Economic Theory, Elsevier, vol. 7(1), pages 53-65, January.
    10. Ben S. Bernanke & Julio J. Rotemberg (ed.), 1997. "NBER Macroeconomics Annual 1997," MIT Press Books, The MIT Press, edition 1, volume 1, number 026252242x, December.
    11. Andrew T.. Levin & Volker Wieland & John Williams, 1999. "Robustness of Simple Monetary Policy Rules under Model Uncertainty," NBER Chapters, in: Monetary Policy Rules, pages 263-318, 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. Lars E. O. Svensson, 2003. "What Is Wrong with Taylor Rules? Using Judgment in Monetary Policy through Targeting Rules," Journal of Economic Literature, American Economic Association, vol. 41(2), pages 426-477, June.
    14. Glenn Rudebusch & Lars E.O. Svensson, 1999. "Policy Rules for Inflation Targeting," NBER Chapters, in: Monetary Policy Rules, pages 203-262, National Bureau of Economic Research, Inc.
    15. Laurence Ball, 1999. "Efficient Rules for Monetary Policy," International Finance, Wiley Blackwell, vol. 2(1), pages 63-83, April.
    16. Frank Smets, 2002. "Output gap uncertainty: Does it matter for the Taylor rule?," Empirical Economics, Springer, vol. 27(1), pages 113-129.
    17. Ozlale, Umit, 2003. "Price stability vs. output stability: tales of federal reserve administrations," Journal of Economic Dynamics and Control, Elsevier, vol. 27(9), pages 1595-1610, July.
    18. Mccallum, Bennet T., 1988. "Robustness properties of a rule for monetary policy," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 29(1), pages 173-203, January.
    19. Orphanides, Athanasios & Porter, Richard D. & Reifschneider, David & Tetlow, Robert & Finan, Frederico, 2000. "Errors in the measurement of the output gap and the design of monetary policy," Journal of Economics and Business, Elsevier, vol. 52(1-2), pages 117-141.
    20. Ehrmann, Michael & Smets, Frank, 2003. "Uncertain potential output: implications for monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 27(9), pages 1611-1638, July.
    21. Julio J. Rotemberg & Michael Woodford, 1997. "An Optimization-Based Econometric Framework for the Evaluation of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 297-361, National Bureau of Economic Research, Inc.
    22. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    23. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, June.
    24. McCallum, Bennett T, 1977. "Price-Level Stickiness and the Feasibility of Monetary Stabilization Policy with Rational Expectations," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 627-634, June.
    25. Benhabib, Jess, 1980. "Adaptive monetary policy and rational expectations," Journal of Economic Theory, Elsevier, vol. 23(2), pages 261-266, October.
    26. Phelps, Edmund S & Taylor, John B, 1977. "Stabilizing Powers of Monetary Policy under Rational Expectations," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 163-190, February.
    27. 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.
    28. Fischer, Stanley, 1977. "Long-Term Contracts, Rational Expectations, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 191-205, February.
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