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The Value of Interest Rate Stabilization Policies When Agents Are Learning

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  • JOHN DUFFY
  • WEI XIAO

Abstract

We examine the expectational stability (E-stability) of rational expectations equilibrium in the "New Keynesian" model where monetary policy is optimally derived and interest rate stabilization is added to the central bank's traditional objectives of inflation and output stabilization. We consider both the case where the central bank lacks a commitment technology and the case of full commitment. We show that for both cases, optimal policy rules yield rational expectations equilibria that are E-stable for a wide range of empirically plausible parameter values. These findings stand in contrast to Evans and Honkapohja's findings for optimal monetary policy rules in environments where interest rate stabilization is not a central bank objective. Copyright 2007 The Ohio State University.

Suggested Citation

  • John Duffy & Wei Xiao, 2007. "The Value of Interest Rate Stabilization Policies When Agents Are Learning," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(8), pages 2041-2056, December.
    • Handle: RePEc:mcb:jmoncb:v:39:y:2007:i:8:p:2041-2056
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    1. Carlstrom, Charles T. & Fuerst, Timothy S., 2004. "Learning and the central bank," Journal of Monetary Economics, Elsevier, vol. 51(2), pages 327-338, March.
    2. James Bullard & Kaushik Mitra, 2007. "Determinacy, Learnability, and Monetary Policy Inertia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(5), pages 1177-1212, August.
    3. George W. Evans & Seppo Honkapohja, 2003. "Adaptive learning and monetary policy design," Proceedings, Federal Reserve Bank of Cleveland, pages 1045-1084.
    4. George W. Evans & Seppo Honkapohja, 2003. "Expectations and the Stability Problem for Optimal Monetary Policies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(4), pages 807-824.
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    8. Marc Giannoni & Michael Woodford, 2003. "How forward-looking is optimal monetary policy?," Proceedings, Federal Reserve Bank of Cleveland, pages 1425-1483.
    9. George W. Evans & Seppo Honkapohja, 2006. "Monetary Policy, Expectations and Commitment," Scandinavian Journal of Economics, Wiley Blackwell, vol. 108(1), pages 15-38, March.
    10. 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.
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    12. Michael Woodford, 1999. "Optimal Monetary Policy Inertia," Manchester School, University of Manchester, vol. 67(s1), pages 1-35.
    13. Honkapohja, Seppo & Mitra, Kaushik, 2004. "Are non-fundamental equilibria learnable in models of monetary policy?," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1743-1770, November.
    14. 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.
    15. Michael Woodford, 1999. "Optimal monetary policy inertia," Proceedings, Federal Reserve Bank of San Francisco.
    16. Berardi, Michele, 2008. "Should monetary policy respond to private sector expectations?," MPRA Paper 19285, University Library of Munich, Germany.
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    Cited by:

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    2. Goyal, Ashima & Tripathi, Shruti, 2014. "Stability and Transitions in Emerging Market Policy Rules," Indian Economic Review, Department of Economics, Delhi School of Economics, vol. 49(2), pages 153-172.
    3. Di Bartolomeo, Giovanni & Di Pietro, Marco & Giannini, Bianca, 2016. "Optimal monetary policy in a New Keynesian model with heterogeneous expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 373-387.
    4. George W. Evans & Seppo Honkapohja, 2009. "Robust Learning Stability with Operational Monetary Policy Rules," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.),Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 5, pages 145-170, Central Bank of Chile.
    5. Gasteiger, Emanuel, 2021. "Optimal constrained interest-rate rules under heterogeneous expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 190(C), pages 287-325.
    6. Emanuel Gasteiger, 2014. "Heterogeneous Expectations, Optimal Monetary Policy, and the Merit of Policy Inertia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 46(7), pages 1535-1554, October.
    7. George W. Evans & Seppo Honkapohja, 2009. "Expectations, Learning and Monetary Policy: An Overview of Recent Research," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.),Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 2, pages 027-076, Central Bank of Chile.
    8. James B. Bullard, 2006. "The learnability criterion and monetary policy," Review, Federal Reserve Bank of St. Louis, vol. 88(May), pages 203-217.
    9. Eric Gaus, 2012. "Robust Stability of Monetary Policy Rules under Adaptive Learning," Working Papers 13-01, Ursinus College, Department of Economics, revised 14 Dec 2012.
    10. Kurozumi, Takushi, 2005. "Determinacy, learnability, and discretionary policy," Economics Letters, Elsevier, vol. 87(2), pages 181-185, May.
    11. Hagenhoff, Tim, 2018. "An aggregate welfare optimizing interest rate rule under heterogeneous expectations," BERG Working Paper Series 139, Bamberg University, Bamberg Economic Research Group.
    12. Llosa, Luis-Gonzalo & Tuesta, Vicente, 2009. "Learning about monetary policy rules when the cost-channel matters," Journal of Economic Dynamics and Control, Elsevier, vol. 33(11), pages 1880-1896, November.
    13. Bask, Mikael & Proaño, Christian R., 2016. "Optimal monetary policy under learning and structural uncertainty in a New Keynesian model with a cost channel and inflation inertia," Journal of Economic Dynamics and Control, Elsevier, vol. 69(C), pages 112-126.
    14. George W. Evans & Seppo Honkapohja, 2009. "Expectations, Learning and Monetary Policy: An Overview of Recent Research," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.),Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 2, pages 027-076, Central Bank of Chile.
    15. George W. Evans & Seppo Honkapohja, 2009. "Robust Learning Stability with Operational Monetary Policy Rules," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.),Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 5, pages 145-170, Central Bank of Chile.
    16. Eric Gaus, 2013. "Time-Varying Parameters and Endogenous Learning Algorithms," Working Papers 13-02, Ursinus College, Department of Economics.
    17. George W. Evans & Seppo Honkapohja, 2009. "Expectations, Learning and Monetary Policy: An Overview of Recent Research," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.),Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 2, pages 027-076, Central Bank of Chile.
    18. Eric Gaus & Srikanth Ramamurthy, 2012. "Learning and Loss Functions: Comparing Optimal and Operational Monetary Policy Rules," Working Papers 14-01, Ursinus College, Department of Economics, revised 14 Dec 2013.
    19. repec:zbw:bofrdp:2007_031 is not listed on IDEAS
    20. Eric Gaus, 2013. "Robust Stability of Monetary Policy Rules under Adaptive Learning," Southern Economic Journal, John Wiley & Sons, vol. 80(2), pages 439-453, October.
    21. George W. Evans & Seppo Honkapohja, 2009. "Robust Learning Stability with Operational Monetary Policy Rules," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.),Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 5, pages 145-170, Central Bank of Chile.

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    More about this item

    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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