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Endogenous Cycles in Optimal Monetary Policywith a Nonlinear Phillips Curve

Author

Listed:
  • Orlando Gomes

    () (Instituto Politécnico de Lisboa - Escola Superior de Comunicação Social and UNIDE-ERC)

  • Diana A. Mendes

    () (ISCTE - Department of Quantitative Methods and UNIDE-StatMath)

  • Vivaldo M. Mendes

    () (ISCTE - Department of Economics and UNIDE-ERC)

  • José Sousa Ramos

    (Technical University of Lisbon, IST, Department of Mathematics)

Abstract

There is by now a large consensus in modern monetary policy. This consensus has been built upon a dynamic general equilibrium model of optimal monetary policy with sticky prices a la Calvo and forward looking behavior. In this paper we extend this standard model by introducing nonlinearity into the Phillips curve. As the linear Phillips curve may be questioned on theoretical grounds and seems not to be favoured by empirical evidence, a similar procedure has already been undertaken in a series papers over the last few years, e.g., Schaling (1999), Semmler and Zhang (2004), Nobay and Peel (2000), Tambakis (1999), and Dolado et al. (2004). However, these papers were mainly concerned with the analysis of the problem of inflation bias, by deriving an interest rate rule which is nonlinear, leaving the issues of stability and the possible existence of endogenous cycles in such a framework mostly overlooked. Under the specific form of nonlinearity proposed in our paper (which allows for both convexity and concavity and secures closed form solutions), we show that the introduction of a nonlinear Phillips curve into a fully deterministic structure of the standard model produces significant changes to the major conclusions regarding stability and the efficiency of monetary policy in the standard model. We should emphasize the following main results: (i) instead of a unique fixed point we end up with multiple equilibria; (ii) instead of saddle—path stability, for different sets of parameter values we may have saddle stability, totally unstable and chaotic fixed points (endogenous cycles); (iii) for certain degrees of convexity and/or concavity of the Phillips curve, where endogenous fluctuations arise, one is able to encounter various results that seem interesting. Firstly, when the Central Bank pays attention essentially to ination targeting, the inflation rate may have a lower mean and is certainly less volatile; secondly, for changes in the degree of price stickiness the results are not are clear cut as in the previous case, however, we can also observe that when such stickiness is high the inflation rate tends to display a somewhat larger mean and also higher volatility; and thirdly, it shows that the target values for ination and the output gap, both crucially aect the dynamics of the economy in terms of average values and volatility of the endogenous variables – e.g., the higher the target value of the output gap chosen by the Central Bank, the higher is the inflation rate and its volatility – while in the linear case only the inflation rate does so (obviously, only affecting in this case the level of the endogenous variables). Moreover, the existence of endogenous cycles due to chaotic motion may raise serious questions about whether the old dictum of monetary policy (that the Central Bank should conduct policy with discretion instead of commitment) is not still very much in the business of monetary policy.

Suggested Citation

  • Orlando Gomes & Diana A. Mendes & Vivaldo M. Mendes & José Sousa Ramos, 2006. "Endogenous Cycles in Optimal Monetary Policywith a Nonlinear Phillips Curve," Working Papers Series 1 ercwp1508, ISCTE-IUL, Business Research Unit (BRU-IUL).
  • Handle: RePEc:isc:iscwp1:ercwp1508
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    References listed on IDEAS

    as
    1. Michael Woodford, 1999. "Commentary : how should monetary policy be conducted in an era of price stability?," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 277-316.
    2. Dolado Juan & Pedrero Ramón María-Dolores & Ruge-Murcia Francisco J., 2004. "Nonlinear Monetary Policy Rules: Some New Evidence for the U.S," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 8(3), pages 1-34, September.
    3. Athanasios Orphanides & John Williams, 2004. "Imperfect Knowledge, Inflation Expectations, and Monetary Policy," NBER Chapters,in: The Inflation-Targeting Debate, pages 201-246 National Bureau of Economic Research, Inc.
    4. McCallum, Bennett T & Nelson, Edward, 2000. "Monetary Policy for an Open Economy: An Alternative Framework with Optimizing Agents and Sticky Prices," Oxford Review of Economic Policy, Oxford University Press, vol. 16(4), pages 74-91, Winter.
    5. Siu, Henry E., 2008. "Time consistent monetary policy with endogenous price rigidity," Journal of Economic Theory, Elsevier, vol. 138(1), pages 184-210, January.
    6. Robert J. Gordon, 1997. "The Time-Varying NAIRU and Its Implications for Economic Policy," Journal of Economic Perspectives, American Economic Association, vol. 11(1), pages 11-32, Winter.
    7. Lars E.O. Svensson & Michael Woodford, 2004. "Implementing Optimal Policy through Inflation-Forecast Targeting," NBER Chapters,in: The Inflation-Targeting Debate, pages 19-92 National Bureau of Economic Research, Inc.
    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. Eliasson, Ann-Charlotte, 2001. "Is the Short-run Phillips Curve Nonlinear? Empirical Evidence for Australia, Sweden and the United States," Working Paper Series 124, Sveriges Riksbank (Central Bank of Sweden).
    10. Marvin Goodfriend & Robert King, 1997. "The New Neoclassical Synthesis and the Role of Monetary Policy," NBER Chapters,in: NBER Macroeconomics Annual 1997, Volume 12, pages 231-296 National Bureau of Economic Research, Inc.
    11. Willi SEMMLER & Wenlang ZHANG, "undated". "Monetary Policy Rules with Nonlinear Philips Curve and Endogenous Nairu," EcoMod2004 330600128, EcoMod.
    12. Svensson, Lars E. O., 1999. "Inflation targeting as a monetary policy rule," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 607-654, June.
    13. Honkapohja, Seppo & Mitra, Kaushik, 2005. "Performance of monetary policy with internal central bank forecasting," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 627-658, April.
    14. Tambakis Demosthenes N., 1999. "Monetary Policy with a Nonlinear Phillips Curve and Asymmetric Loss," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(4), pages 1-17, January.
    15. Douglas Laxton & Peter B. Clark & David Rose, 1995. "Asymmetry in the U.S. Output-Inflation Nexus; Issues and Evidence," IMF Working Papers 95/76, International Monetary Fund.
    16. Paolo Surico, 2002. "Inflation Targeting and Nonlinear Policy Rules: the Case of Asymmetric Preferences," Macroeconomics 0210002, EconWPA, revised 23 Feb 2004.
    17. Ball, Laurence & Mankiw, N Gregory, 1994. "Asymmetric Price Adjustment and Economic Fluctuations," Economic Journal, Royal Economic Society, vol. 104(423), pages 247-261, March.
    18. Peersman, Gert & Smets, Frank, 2001. "Are the effects of monetary policy in the euro area greater in recessions than in booms?," Working Paper Series 0052, European Central Bank.
    19. Michael Woodford, 1999. "Optimal monetary policy inertia," Proceedings, Federal Reserve Bank of San Francisco.
    20. Andrew J. Filardo, 1998. "New evidence on the output cost of fighting inflation," Economic Review, Federal Reserve Bank of Kansas City, issue Q III.
    21. Paolo Surico, 2004. "Inflation Targeting and Nonlinear Policy Rules: The Case of Asymmetric Preferences (new title: The Fed's monetary policy rule and U.S. inflation: The case of asymmetric preferences)," CESifo Working Paper Series 1280, CESifo Group Munich.
    22. Eric Schaling, 1999. "The non-linear Phillips curve and inflation forecast targeting," Bank of England working papers 98, Bank of England.
    23. Svensson, Lars E O, 1999. " Inflation Targeting: Some Extensions," Scandinavian Journal of Economics, Wiley Blackwell, vol. 101(3), pages 337-361, September.
    24. James Peery Cover, 1992. "Asymmetric Effects of Positive and Negative Money-Supply Shocks," The Quarterly Journal of Economics, Oxford University Press, vol. 107(4), pages 1261-1282.
    25. Karras, Georgios, 1996. "Why are the effects of money-supply shocks asymmetric? Convex aggregate supply or "pushing on a string"?," Journal of Macroeconomics, Elsevier, vol. 18(4), pages 605-619.
    26. Karras, Georgios & Stokes, Houston H., 1999. "Why are the effects of money-supply shocks asymmetric? Evidence from prices, consumption, and investment," Journal of Macroeconomics, Elsevier, vol. 21(4), pages 713-727.
    27. Guy Debelle & Douglas Laxton, 1997. "Is the Phillips Curve Really a Curve? Some Evidence for Canada, the United Kingdom, and the United States," IMF Staff Papers, Palgrave Macmillan, vol. 44(2), pages 249-282, June.
    28. George A. Akerlof & William R. Dickens & George L. Perry, 1996. "The Macroeconomics of Low Inflation," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 27(1), pages 1-76.
    29. Joseph Stiglitz, 1997. "Reflections on the Natural Rate Hypothesis," Journal of Economic Perspectives, American Economic Association, vol. 11(1), pages 3-10, Winter.
    30. Tommy Sveen & Lutz Weinke, 2004. "Pitfalls in the modeling of forward-looking price setting and investment decisions," Economics Working Papers 773, Department of Economics and Business, Universitat Pompeu Fabra.
    31. 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.
    32. Tommy Sveen & Lutz Weinke, 2004. "Pitfalls in the Modelling of Forward-Looking Price Setting and Inverstment Behavior," Working Paper 2004/01, Norges Bank.
    33. Demosthenes N. Tambakis, 1998. "Monetary Policy with a Convex Phillips Curve and Asymmetric Loss," IMF Working Papers 98/21, International Monetary Fund.
    34. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    35. Zhang, Wenlang & Semmler, Willi, 2005. "Monetary Policy Rules Under Uncertainty: Empirical Evidence, Adaptive Learning, And Robust Control," Macroeconomic Dynamics, Cambridge University Press, vol. 9(05), pages 651-681, November.
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    Keywords

    Optimal monetary policy; Interest Rate Rules; Nonlinear Phillips Curve; Endogenous Fluctuations and Stabilization;

    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

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