IDEAS home Printed from https://ideas.repec.org/p/red/sed006/758.html
   My bibliography  Save this paper

Time-Varying U.S. Inflation Dynamics and the New Keynesian Phillips Curve

Author

Listed:
  • Kevin J. Lansing

Abstract

This paper introduces a form of boundedly-rational expectations into an otherwise standard New-Keynesian Phillips curve. The representative agent's forecast rule is optimal (in the sense of minimizing mean squared forecast errors), conditional on a perceived law of motion for inflation and observed moments of the inflation time series. The perceived law of motion allows for both temporary and permanent shocks to inflation, the latter intended to capture the possibility of evolving shifts in the central bank's inflation target. In this case, the agent's optimal forecast rule defined by the Kalman filter coincides with adaptive expectations, as shown originally by Muth (1960). I show that the perceived optimal value of the gain parameter assigned to the last observed inflation rate is given by the fixed point of a nonlinear map that relates the gain parameter to the autocorrelation of inflation changes. The model allows for either a constant gain or variable gain, depending on the length of the sample period used by the agent to compute the autocorrelation of inflation changes. In the variable-gain setup, the equilibrium law of motion for inflation is nonlinear and can generate time-varying inflation dynamics similar to those observed in long-run U.S. data. The model's inflation dynamics are driven solely by white-noise fundamental shocks propagated via the expectations feedback mechanism; all monetary policy-dependent parameters are held constant

Suggested Citation

  • Kevin J. Lansing, 2006. "Time-Varying U.S. Inflation Dynamics and the New Keynesian Phillips Curve," 2006 Meeting Papers 758, Society for Economic Dynamics.
  • Handle: RePEc:red:sed006:758
    as

    Download full text from publisher

    File URL: http://repec.org/sed2006/up.22734.1140041955.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Orphanides, Athanasios & van Norden, Simon, 2005. "The Reliability of Inflation Forecasts Based on Output Gap Estimates in Real Time," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(3), pages 583-601, June.
    2. Fuhrer, Jeffrey C, 1997. "The (Un)Importance of Forward-Looking Behavior in Price Specifications," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(3), pages 338-350, August.
    3. Erceg, Christopher J. & Levin, Andrew T., 2003. "Imperfect credibility and inflation persistence," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 915-944, May.
    4. Rudd, Jeremy & Whelan, Karl, 2005. "New tests of the new-Keynesian Phillips curve," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1167-1181, September.
    5. Glenn D. Rudebusch, 2002. "Assessing Nominal Income Rules for Monetary Policy with Model and Data Uncertainty," Economic Journal, Royal Economic Society, vol. 112(479), pages 402-432, April.
    6. Michael Woodford, 2010. "Robustly Optimal Monetary Policy with Near-Rational Expectations," American Economic Review, American Economic Association, vol. 100(1), pages 274-303, March.
    7. N. Gregory Mankiw & Ricardo Reis, 2002. "Sticky Information versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," The Quarterly Journal of Economics, Oxford University Press, vol. 117(4), pages 1295-1328.
    8. Marvin Goodfriend, 1993. "Interest rate policy and the inflation scare problem: 1979-1992," Proceedings, Board of Governors of the Federal Reserve System (U.S.).
    9. Andrew T. Levin & Jeremy M. Piger, 2003. "Is inflation persistence intrinsic in industrial economies?," Working Papers 2002-023, Federal Reserve Bank of St. Louis.
    10. Peter N. Ireland, 2007. "Changes in the Federal Reserve's Inflation Target: Causes and Consequences," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(8), pages 1851-1882, December.
    11. Ball, Laurence & Gregory Mankiw, N. & Reis, Ricardo, 2005. "Monetary policy for inattentive economies," Journal of Monetary Economics, Elsevier, vol. 52(4), pages 703-725, May.
    12. Richard Mash, 2004. "Optimising Microfoundations for Inflation Persistence," Economics Series Working Papers 183, University of Oxford, Department of Economics.
    13. N. Gregory Mankiw & Ricardo Reis & Justin Wolfers, 2004. "Disagreement about Inflation Expectations," NBER Chapters,in: NBER Macroeconomics Annual 2003, Volume 18, pages 209-270 National Bureau of Economic Research, Inc.
    14. Guido Ascari, 2004. "Staggered Prices and Trend Inflation: Some Nuisances," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 642-667, July.
    15. Sargent, Thomas J, 1971. "A Note on the 'Accelerationist' Controversy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 3(3), pages 721-725, August.
    16. Nelson Edward, 2005. "The Great Inflation of the Seventies: What Really Happened?," The B.E. Journal of Macroeconomics, De Gruyter, vol. 5(1), pages 1-50, July.
    17. Lansing, Kevin J. & Trehan, Bharat, 2003. "Forward-looking behavior and optimal discretionary monetary policy," Economics Letters, Elsevier, vol. 81(2), pages 249-256, November.
    18. Arthur, W Brian, 1989. "Competing Technologies, Increasing Returns, and Lock-In by Historical Events," Economic Journal, Royal Economic Society, vol. 99(394), pages 116-131, March.
    19. William A. Branch, 2004. "The Theory of Rationally Heterogeneous Expectations: Evidence from Survey Data on Inflation Expectations," Economic Journal, Royal Economic Society, vol. 114(497), pages 592-621, July.
    20. Jeremy M. Piger & Robert H. Rasche, 2008. "Inflation: Do Expectations Trump the Gap?," International Journal of Central Banking, International Journal of Central Banking, vol. 4(4), pages 85-116, December.
    21. Evans, George W. & Ramey, Garey, 2006. "Adaptive expectations, underparameterization and the Lucas critique," Journal of Monetary Economics, Elsevier, vol. 53(2), pages 249-264, March.
    22. Whelan, Karl, 2004. "Staggered price contracts and inflation persistence: some general results," Working Paper Series 417, European Central Bank.
    23. Vitor Gaspar & Frank Smets & David Vestin, 2006. "Optimal Monetary Policy under Adaptive Learning," Computing in Economics and Finance 2006 183, Society for Computational Economics.
    24. Mankiw, N Gregory, 2001. "The Inexorable and Mysterious Tradeoff between Inflation and Unemployment," Economic Journal, Royal Economic Society, vol. 111(471), pages 45-61, May.
    25. Huh, Chan G. & Lansing, Kevin J., 2000. "Expectations, credibility, and disinflation in a small macroeconomic model," Journal of Economics and Business, Elsevier, vol. 52(1-2), pages 51-86.
    26. Timothy Cogley & Thomas J. Sargent, 2005. "Drift and Volatilities: Monetary Policies and Outcomes in the Post WWII U.S," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 262-302, April.
    27. David, Paul A, 1985. "Clio and the Economics of QWERTY," American Economic Review, American Economic Association, vol. 75(2), pages 332-337, May.
    28. Bruce Preston, 2005. "Learning about Monetary Policy Rules when Long-Horizon Expectations Matter," International Journal of Central Banking, International Journal of Central Banking, vol. 1(2), September.
    29. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
    30. Sharon Kozicki & Peter A. Tinsley, 2002. "Alternative sources of the lag dynamics of inflation," Research Working Paper RWP 02-12, Federal Reserve Bank of Kansas City.
    31. Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, May.
    32. Amato, Jeffery D. & Laubach, Thomas, 2003. "Rule-of-thumb behaviour and monetary policy," European Economic Review, Elsevier, vol. 47(5), pages 791-831, October.
    33. Ang, Andrew & Bekaert, Geert & Wei, Min, 2007. "Do macro variables, asset markets, or surveys forecast inflation better?," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1163-1212, May.
    34. Carlos Robalo Marques, 2005. "Inflation persistence: facts or artefacts?," Economic Bulletin and Financial Stability Report Articles, Banco de Portugal, Economics and Research Department.
    35. Roberts John M., 2005. "How Well Does the New Keynesian Sticky-Price Model Fit the Data?," The B.E. Journal of Macroeconomics, De Gruyter, vol. 5(1), pages 1-39, September.
    36. Arturo Estrella & Jeffrey C. Fuhrer, 2002. "Dynamic Inconsistencies: Counterfactual Implications of a Class of Rational-Expectations Models," American Economic Review, American Economic Association, vol. 92(4), pages 1013-1028, September.
    37. Sahuc, Jean-Guillaume, 2006. "Partial indexation, trend inflation, and the hybrid Phillips curve," Economics Letters, Elsevier, vol. 90(1), pages 42-50, January.
    38. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    39. Steinsson, Jon, 2003. "Optimal monetary policy in an economy with inflation persistence," Journal of Monetary Economics, Elsevier, vol. 50(7), pages 1425-1456, October.
    40. Lucas, Robert E, Jr, 1973. "Some International Evidence on Output-Inflation Tradeoffs," American Economic Review, American Economic Association, vol. 63(3), pages 326-334, June.
    41. Timothy Cogley & Thomas J. Sargent, 2002. "Evolving Post-World War II U.S. Inflation Dynamics," NBER Chapters,in: NBER Macroeconomics Annual 2001, Volume 16, pages 331-388 National Bureau of Economic Research, Inc.
    42. Lansing, Kevin J., 2006. "Lock-In Of Extrapolative Expectations In An Asset Pricing Model," Macroeconomic Dynamics, Cambridge University Press, vol. 10(03), pages 317-348, June.
    43. Gali, Jordi & Gertler, Mark & David Lopez-Salido, J., 2005. "Robustness of the estimates of the hybrid New Keynesian Phillips curve," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1107-1118, September.
    44. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
    45. James H. Stock & Mark W. Watson, 2007. "Why Has U.S. Inflation Become Harder to Forecast?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(s1), pages 3-33, February.
    46. Collard, Fabrice & Dellas, Harris, 2004. "The New Keynesian Model with Imperfect Information and Learning," IDEI Working Papers 273, Institut d'Économie Industrielle (IDEI), Toulouse.
    47. Christopher D. Carroll, 2003. "Macroeconomic Expectations of Households and Professional Forecasters," The Quarterly Journal of Economics, Oxford University Press, vol. 118(1), pages 269-298.
    48. Thomas Mayer, 1999. "Monetary Policy and the Great Inflation in the United States," Books, Edward Elgar Publishing, number 1601.
    49. Jeremy Rudd & Karl Whelan, 2007. "Modeling Inflation Dynamics: A Critical Review of Recent Research," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(s1), pages 155-170, February.
    50. 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.
    51. Marc Nerlove, 1967. "Distributed Lags and Unobserved Components in Economic Time Series," Cowles Foundation Discussion Papers 221, Cowles Foundation for Research in Economics, Yale University.
    52. Stock, James H & Watson, Mark W, 1996. "Evidence on Structural Instability in Macroeconomic Time Series Relations," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(1), pages 11-30, January.
    53. Padula, Mario & Backé, Peter, 2003. "Inflation dynamics and subjective expectations in the United States," Working Paper Series 222, European Central Bank.
    54. George W. Evans & Seppo Honkapohja, 1993. "Adaptive forecasts, hysteresis, and endogenous fluctuations," Economic Review, Federal Reserve Bank of San Francisco, pages 3-13.
    55. Jeffrey C. Fuhrer, 2006. "Intrinsic and Inherited Inflation Persistence," International Journal of Central Banking, International Journal of Central Banking, vol. 2(3), September.
    56. Kozicki, Sharon & Tinsley, P.A., 2005. "Permanent and transitory policy shocks in an empirical macro model with asymmetric information," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 1985-2015, November.
    57. Argia M. Sbordone & Timothy Cogley, 2004. "A Search for a Structural Phillips Curve," Computing in Economics and Finance 2004 291, Society for Computational Economics.
    58. Barsky, Robert B., 1987. "The Fisher hypothesis and the forecastability and persistence of inflation," Journal of Monetary Economics, Elsevier, vol. 19(1), pages 3-24, January.
    59. Laurence Ball, 2000. "Near-rationality and inflation in two monetary regimes," Proceedings, Federal Reserve Bank of San Francisco.
    60. Friedman, Benjamin M., 1979. "Optimal expectations and the extreme information assumptions of `rational expectations' macromodels," Journal of Monetary Economics, Elsevier, vol. 5(1), pages 23-41, January.
    61. Katharine Neiss & Edward Nelson, 2002. "Inflation dynamics, marginal cost, and the output gap: evidence from three countries," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
    62. King, Robert G. & Watson, Mark W., 1994. "The post-war U.S. phillips curve: a revisionist econometric history," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 41(1), pages 157-219, December.
    63. Timothy Cogley & Argia M. Sbordone, 2008. "Trend Inflation, Indexation, and Inflation Persistence in the New Keynesian Phillips Curve," American Economic Review, American Economic Association, vol. 98(5), pages 2101-2126, December.
    64. Allan Timmermann, 1996. "Excess Volatility and Predictability of Stock Prices in Autoregressive Dividend Models with Learning," Review of Economic Studies, Oxford University Press, vol. 63(4), pages 523-557.
    65. John M. Roberts, 2006. "Monetary Policy and Inflation Dynamics," International Journal of Central Banking, International Journal of Central Banking, vol. 2(3), September.
    66. Fabio Milani, 2005. "Adaptive Learning and Inflation Persistence," Working Papers 050607, University of California-Irvine, Department of Economics.
    67. Pivetta, Frederic & Reis, Ricardo, 2007. "The persistence of inflation in the United States," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1326-1358, April.
    68. Roberts, John M., 1997. "Is inflation sticky?," Journal of Monetary Economics, Elsevier, vol. 39(2), pages 173-196, July.
    69. Klaus Adam & Mario Padula, 2011. "Inflation Dynamics And Subjective Expectations In The United States," Economic Inquiry, Western Economic Association International, vol. 49(1), pages 13-25, January.
    70. Christopher A. Sims & Tao Zha, 2006. "Were There Regime Switches in U.S. Monetary Policy?," American Economic Review, American Economic Association, vol. 96(1), pages 54-81, March.
    71. Levin, Andrew T. & Moessner, Richhild, 2005. "Inflation persistence and monetary policy design: an overview," Working Paper Series 539, European Central Bank.
    72. Klein, Benjamin, 1978. "The Measurement of Long- and Short-Term Price Uncertainty: A Moving Regression Time Series Analysis," Economic Inquiry, Western Economic Association International, vol. 16(3), pages 438-452, July.
    73. Rudd, Jeremy & Whelan, Karl, 2005. "Does Labor's Share Drive Inflation?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(2), pages 297-312, April.
    74. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
    75. Jean Boivin & Marc P. Giannoni, 2006. "Has Monetary Policy Become More Effective?," The Review of Economics and Statistics, MIT Press, vol. 88(3), pages 445-462, August.
    76. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    77. Buiter, Willem H & Jewitt, Ian, 1981. "Staggered Wage Setting with Real Wage Relativities: Variations on a Theme of Taylor," The Manchester School of Economic & Social Studies, University of Manchester, vol. 49(3), pages 211-228, September.
    78. Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(03), pages 287-321, September.
    79. John C. Williams, 2006. "Inflation persistence in an era of well-anchored inflation expectations," FRBSF Economic Letter, Federal Reserve Bank of San Francisco, issue oct13.
    80. Andrew Atkeson & Lee E. Ohanian, 2001. "Are Phillips curves useful for forecasting inflation?," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 2-11.
    81. Jeff Fuhrer & George Moore, 1995. "Inflation Persistence," The Quarterly Journal of Economics, Oxford University Press, vol. 110(1), pages 127-159.
    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. Francis Leni Anguyo & Rangan Gupta & Kevin Kotze, 2017. "Inflation Dynamics in Uganda: A Quantile Regression Approach," School of Economics Macroeconomic Discussion Paper Series 2017-07, School of Economics, University of Cape Town.
    2. Gelain, Paolo & Lansing, Kevin J., 2014. "House prices, expectations, and time-varying fundamentals," Journal of Empirical Finance, Elsevier, vol. 29(C), pages 3-25.
    3. Branch, William A. & McGough, Bruce, 2009. "A New Keynesian model with heterogeneous expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 33(5), pages 1036-1051, May.
    4. Lansing, Kevin J. & Ma, Jun, 2017. "Explaining exchange rate anomalies in a model with Taylor-rule fundamentals and consistent expectations," Journal of International Money and Finance, Elsevier, vol. 70(C), pages 62-87.
    5. Hommes, Cars H., 2014. "Behaviorally Rational Expectations and Almost Self-Fulfilling Equilibria," Review of Behavioral Economics, now publishers, vol. 1(1-2), pages 75-97, January.
    6. Scott Davis, 2012. "The Effect of Commodity Price Shocks on Underlying Inflation: The Role of Central Bank Credibility," Working Papers 272012, Hong Kong Institute for Monetary Research.
    7. Hommes, Cars & Zhu, Mei, 2014. "Behavioral learning equilibria," Journal of Economic Theory, Elsevier, vol. 150(C), pages 778-814.
    8. Lena Dräger, 2011. "Endogenous Persistence with Recursive Inattentiveness," Macroeconomics and Finance Series 201103, Hamburg University, Department Wirtschaft und Politik.
    9. Lansing, Kevin J., 2012. "Speculative growth, overreaction, and the welfare cost of technology-driven bubbles," Journal of Economic Behavior & Organization, Elsevier, vol. 83(3), pages 461-483.
    10. Paul Castillo & Alberto Humala & Vicente Tuesta, 2007. "Monetary Policy, Regime Shifts, and Inflation Uncertainty in Peru (1949-2006)," Working Papers 2007-005, Banco Central de Reserva del Perú.
    11. Cassou, Steven P. & Vázquez Pérez, Jesús, 2010. "New Keynesian Model Features that Can Reproduce Lead, Lag and Persistence Patterns," DFAEII Working Papers 2010-05, University of the Basque Country - Department of Foundations of Economic Analysis II.
    12. Davis, Scott & Mack, Adrienne, 2013. "Cross-country variation in the anchoring of inflation expectations," Staff Papers, Federal Reserve Bank of Dallas, issue Oct.
    13. Cars Hommes, 2017. "From self-fulfilling mistakes to behavioral learning equilibria," Tinbergen Institute Discussion Papers 17-018/II, Tinbergen Institute.
    14. Milani, Fabio, 2014. "Learning and time-varying macroeconomic volatility," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 94-114.
    15. repec:wly:jmoncb:v:49:y:2017:i:4:p:767-806 is not listed on IDEAS
    16. Gamber, Edward N. & Smith, Julie K. & Eftimoiu, Raluca, 2015. "The dynamic relationship between core and headline inflation," Journal of Economics and Business, Elsevier, vol. 81(C), pages 38-53.

    More about this item

    Keywords

    Inflation Expectations; Phillips Curve; Time-Varying Persistence & Volatility;

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:red:sed006:758. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christian Zimmermann). General contact details of provider: http://edirc.repec.org/data/sedddea.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.