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Too Much Too Soon: Instability and Indeterminacy with Forward-Looking Rules

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  • Nicoletta Batini
  • Joe Pearlman

Abstract

This paper extends the existing literature on the uniqueness and stability conditions for an equilibrium under inflation-forecast-based (IFB) rules. It shows that, for a variety of New Keynesian sticky-price and sticky-inflation models, these are a function not just of the degree of responsiveness of the policy instrument to deviations of expected inflation at some horizon j from target, but rather of the ‘right’ combination of that degree and the chosen feedback horizon. In this respect we prove analytically that the determinacy results in Clarida et al (2000) cannot be generalised to the case of IFB rules with longer feedback horizons than one quarter. The paper shows how to identify the feedback/horizon pairs that are associated with unique and stable equilibria and unveils the analytical rationale behind instability or indeterminacy at too long a lag for a given feedback.
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  • 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.
    • Handle: RePEc:sce:scecf2:182
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    1. William Poole, 1999. "Monetary policy rules?," Review, Federal Reserve Bank of St. Louis, issue Mar, pages 3-12.
    2. Chow, Gregory C, 1970. "Optimal Stochastic Control of Linear Economic Systems," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 2(3), pages 291-302, August.
    3. Jeffrey C. Fuhrer, 1998. "An Optimising Model for Monetary Policy Analysis: Can Habit Formation Help?," RBA Research Discussion Papers rdp9812, Reserve Bank of Australia.
    4. 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.
    5. Svensson, Lars E. O., 1997. "Inflation forecast targeting: Implementing and monitoring inflation targets," European Economic Review, Elsevier, vol. 41(6), pages 1111-1146, June.
    6. Andrew Levin & Volker Wieland & John C. Williams, 2003. "The Performance of Forecast-Based Monetary Policy Rules Under Model Uncertainty," American Economic Review, American Economic Association, vol. 93(3), pages 622-645, June.
    7. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 147-180.
    8. Stephanie Schmitt-Grohe & Jess Benhabib & Martin Uribe, 2001. "Monetary Policy and Multiple Equilibria," American Economic Review, American Economic Association, vol. 91(1), pages 167-186, March.
    9. Jeff Fuhrer & George Moore, 1995. "Inflation Persistence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 127-159.
    10. Lars E. O. Svensson & Michael Woodford, 2004. "Implementing Optimal Policy through Inflation-Forecast Targeting," NBER Chapters, in: The Inflation-Targeting Debate, National Bureau of Economic Research, Inc.
    11. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    12. Chari, V. V. & Christiano, Lawrence J. & Eichenbaum, Martin, 1998. "Expectation Traps and Discretion," Journal of Economic Theory, Elsevier, vol. 81(2), pages 462-492, August.
    13. Thomas A. Lubik & Frank Schorfheide, 2004. "Testing for Indeterminacy: An Application to U.S. Monetary Policy," American Economic Review, American Economic Association, vol. 94(1), pages 190-217, March.
    14. 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.
    15. Helge Berger & Jakob De Haan & Sylvester C.W. Eijffinger, 2001. "Central Bank Independence: An Update of Theory and Evidence," Journal of Economic Surveys, Wiley Blackwell, vol. 15(1), pages 3-40, February.
    16. Fuhrer, Jeffrey C., 2010. "Inflation Persistence," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 9, pages 423-486, Elsevier.
    17. Marc P. Giannoni & Michael Woodford, 2003. "Optimal Interest-Rate Rules: II. Applications," NBER Working Papers 9420, National Bureau of Economic Research, Inc.
    18. Charles T. Carlstrom & Timothy S. Fuerst, 2001. "Real Indeterminacy in Monetary Models with Nominal Interest Rate Distortions," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 767-789, October.
    19. Nicoletta Batini & Edward Nelson, 2001. "The Lag from Monetary Policy Actions to Inflation: Friedman Revisited," International Finance, Wiley Blackwell, vol. 4(3), pages 381-400.
    20. 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.
    21. Svensson, Lars E. O. & Woodford, Michael, 2003. "Indicator variables for optimal policy," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 691-720, April.
    22. McCallum, Bennett T & Nelson, Edward, 1999. "An Optimizing IS-LM Specification for Monetary Policy and Business Cycle Analysis," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(3), pages 296-316, August.
    23. Laurence Ball, 1999. "Efficient Rules for Monetary Policy," International Finance, Wiley Blackwell, vol. 2(1), pages 63-83, April.
    24. Batini, Nicoletta & Nelson, Edward, 2001. "Optimal horizons for inflation targeting," Journal of Economic Dynamics and Control, Elsevier, vol. 25(6-7), pages 891-910, June.
    25. 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.
    26. Nicoletta Batini & Andrew Haldane, 1999. "Forward-Looking Rules for Monetary Policy," NBER Chapters, in: Monetary Policy Rules, pages 157-202, National Bureau of Economic Research, Inc.
    27. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    28. J. B. Taylor & M. Woodford (ed.), 1999. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 1, number 1.
    29. Schmitt-Grohe, Stephanie, 1997. "Comparing Four Models of Aggregate Fluctuations due to Self-Fulfilling Expectations," Journal of Economic Theory, Elsevier, vol. 72(1), pages 96-147, January.
    30. Ben S. Bernanke & Michael Woodford, 1997. "Inflation forecasts and monetary policy," Proceedings, Federal Reserve Bank of Cleveland, pages 653-686.
    31. Stephanie Schmitt-Grohe, 2000. "Endogenous Business Cycles and the Dynamics of Output, Hours, and Consumption," American Economic Review, American Economic Association, vol. 90(5), pages 1136-1159, December.
    32. Salyer, Kevin D. & Sheffrin, Steven M., 1998. "Spotting sunspots: Some evidence in support of models with self-fulfilling prophecies," Journal of Monetary Economics, Elsevier, vol. 42(3), pages 511-523, October.
    33. Batini, Nicoletta & Harrison, Richard & Millard, Stephen P., 2003. "Monetary policy rules for an open economy," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11-12), pages 2059-2094, September.
    34. Marc P. Giannoni & Michael Woodford, 2003. "Optimal Interest-Rate Rules: I. General Theory," Levine's Bibliography 506439000000000384, UCLA Department of Economics.
    35. Schmitt-Grohe, Stephanie & Uribe, Martin, 2000. "Price level determinacy and monetary policy under a balanced-budget requirement," Journal of Monetary Economics, Elsevier, vol. 45(1), pages 211-246, February.
    36. William Kerr & Robert G. King, 1996. "Limits on interest rate rules in the IS model," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 47-75.
    37. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448, Elsevier.
    38. Michael Woodford, 1998. "Control of the Public Debt: A Requirement for Price Stability?," International Economic Association Series, in: Guillermo Calvo & Mervyn King (ed.), The Debt Burden and its Consequences for Monetary Policy, chapter 5, pages 117-158, Palgrave Macmillan.
    39. Taylor, John B. (ed.), 2001. "Monetary Policy Rules," National Bureau of Economic Research Books, University of Chicago Press, edition 1, number 9780226791258, December.
    40. Farmer, Roger E. A. & Jang-Ting, Guo, 1995. "The econometrics of indeterminacy: an applied study," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 225-271, December.
    41. Salyer, Kevin D., 1995. "The macroeconomics of self-fulfilling prophecies A review essay," Journal of Monetary Economics, Elsevier, vol. 35(1), pages 215-242, February.
    42. 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.
    43. Charles T. Carlstrom & Timothy S. Fuerst, 2000. "Forward-looking versus backward-looking Taylor rules," Working Papers (Old Series) 0009, Federal Reserve Bank of Cleveland.
    44. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, March.
    45. Michael Woodford, 1994. "Nonstandard Indicators for Monetary Policy: Can Their Usefulness Be Judged from Forecasting Regressions?," NBER Chapters, in: Monetary Policy, pages 95-115, National Bureau of Economic Research, Inc.
    46. Galí, Jordi, 2002. "New Perspectives on Monetary Policy, Inflation and the Business Cycle," CEPR Discussion Papers 3210, C.E.P.R. Discussion Papers.
    47. Michael Woodford, 2000. "Pitfalls of Forward-Looking Monetary Policy," American Economic Review, American Economic Association, vol. 90(2), pages 100-104, May.
    48. Wu, Yangru & Zhang, Junxi, 2000. "Monopolistic competition, increasing returns to scale, and the welfare costs of inflation," Journal of Monetary Economics, Elsevier, vol. 46(2), pages 417-440, October.
    49. N. Gregory Mankiw, 1994. "Monetary Policy," NBER Books, National Bureau of Economic Research, Inc, number greg94-1, March.
    50. Julia K. Thomas, 1998. "Do Sunspots Produce Business Cycles?," GSIA Working Papers 1999-E10, Carnegie Mellon University, Tepper School of Business.
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    Cited by:

    1. Nicoletta Batini & Paul Levine & Joseph Pearlman, 2003. "Indeterminacy with inflation-forecast-cased rules in a two-bloc model," Proceedings, Board of Governors of the Federal Reserve System (U.S.).
    2. d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014. "Bounded interest rate feedback rules in continuous-time," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 227-236.
    3. Tetlow, Robert J. & von zur Muehlen, Peter, 2009. "Robustifying learnability," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 296-316, February.
    4. Michael Paetz, 2007. "Robust Control and Persistence in the New Keynesian Economy," Quantitative Macroeconomics Working Papers 20711, Hamburg University, Department of Economics.
    5. Fujiwara, Ippei & Hara, Naoko & Hirose, Yasuo & Teranishi, Yuki, 2005. "The Japanese Economic Model (JEM)," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 23(2), pages 61-142, May.
    6. Michał Brzoza-Brzezina & Jacek Kotłowski & Agata Miśkowiec, 2013. "How forward-looking are central banks? Some evidence from their forecasts," Applied Economics Letters, Taylor & Francis Journals, vol. 20(2), pages 142-146, February.
    7. Marc P. Giannoni & Michael Woodford, 2003. "Optimal Interest-Rate Rules: II. Applications," Levine's Bibliography 506439000000000394, UCLA Department of Economics.
    8. Eugenio Gaiotti, 2004. "Pitfalls of monetary policy under incomplete information: imprecise indicators and real indeterminacy," Macroeconomics 0404017, University Library of Munich, Germany, revised 28 Apr 2004.
    9. Olivier Loisel, 2004. "Monetary policy rules to preclude booms and busts," Money Macro and Finance (MMF) Research Group Conference 2003 56, Money Macro and Finance Research Group.
    10. 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.
    11. Nicoletta Batini, 2006. "Euro area inflation persistence," Empirical Economics, Springer, vol. 31(4), pages 977-1002, November.
    12. Levine, Paul & McAdam, Peter & Pierse, Richard & Pearlman, Joseph G., 2008. "Risk Management in Action. Robust monetary policy rules under structured uncertainty," Working Paper Series 870, European Central Bank.
    13. Sharon Kozicki & Peter A. Tinsley, 2005. "Perhaps the FOMC did what it said it did : an alternative interpretation of the Great Inflation," Research Working Paper RWP 05-04, Federal Reserve Bank of Kansas City.
    14. 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.
    15. Jorge Desormeaux & Pablo García & Claudio Soto, 2010. "Terms of trade, commodity prices and inflation dynamics in Chile," BIS Papers chapters, in: Bank for International Settlements (ed.), Monetary policy and the measurement of inflation: prices, wages and expectations, volume 49, pages 115-128, Bank for International Settlements.
    16. Batini, Nicoletta & Levine, Paul & Pearlman, Joseph, 2009. "Estabilización óptima del tipo de cambio en una economía dolarizada con meta inflacionaria," Revista Estudios Económicos, Banco Central de Reserva del Perú, issue 16, pages 37-82.
    17. Marc P. Giannoni & Michael Woodford, 2003. "Optimal Interest-Rate Rules: I. General Theory," NBER Working Papers 9419, National Bureau of Economic Research, Inc.
    18. Nicoletta Batini & Paul Levine, 2004. "Robust Control Rules to Shield Against Indeterminacy," Computing in Economics and Finance 2004 339, Society for Computational Economics.
    19. Nicoletta Batini & Joseph Pearlman & Paul Levine, 2006. "Optimal Exchange Rate Stabilization in a Dollarized Economy with Inflation Targets," Computing in Economics and Finance 2006 148, Society for Computational Economics.
    20. Marc Giannoni & Michael Woodford, 2003. "How forward-looking is optimal monetary policy?," Proceedings, Federal Reserve Bank of Cleveland, pages 1425-1483.
    21. Houda Ben Hadj Boubaker, 2011. "Inflation Forecast-Based Rule for Inflation Targeting: Case of Some Selected MENA Countries," Working Papers 628, Economic Research Forum, revised 09 Jan 2011.
    22. Nicoletta Batini, 2006. "Euro area inflation persistence," Empirical Economics, Springer, vol. 31(4), pages 977-1002, November.
    23. Loisel, O., 2006. "Bubble-free interest-rate rules," Working papers 161, Banque de France.
    24. Shesadri Banerjee, 2013. "Inflation Volatility and Activism of Monetary Policy," CEGAP Working Papers 2013_06, Durham University Business School.
    25. Jagjit S. Chadha & Luisa Corrado, 2006. "On the Determinacy of Monetary Policy under Expectational Errors," CDMA Working Paper Series 200603, Centre for Dynamic Macroeconomic Analysis, revised 15 Apr 2007.

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    More about this item

    Keywords

    inflation targeting; multiple equilibria; sunspots;
    All these keywords.

    JEL classification:

    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications
    • 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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