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Optimal monetary policy in a micro-founded model with parameter uncertainty

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  • Takeshi Kimura
  • Takushi Kurozumi

Abstract

In this paper, we structurally model uncertainty with a micro-founded model, and investigate its implications for optimal monetary policy. Uncertainty about deep parameters of the model implies that the central bank simultaneously faces both uncertainty about the structural dynamic equations and about the social loss function. Considering both uncertainties with cross-parameter restrictions based on the micro-foundations of the model, we use Bayesian methods to determine the optimal monetary policy that minimizes the expected loss. Our analysis shows how uncertainty can lead the central bank to pursue a more aggressive monetary policy, overturning Brainard's common wisdom. As the degree of uncertainty about inflation dynamics increases, the central bank should place much more weight on price stability, and should respond to shocks more aggressively. In addition, when the central bank is uncertain about output dynamics, an aggressive policy response can be justified by the positive correlation between policy multiplier and transmission of natural rate of interest shock as well as the effect of loss-function uncertainty. We also show that combining a more aggressive policy response with a highly inertial interest rate policy reduces Bayesian risk.

Suggested Citation

  • Takeshi Kimura & Takushi Kurozumi, 2003. "Optimal monetary policy in a micro-founded model with parameter uncertainty," Finance and Economics Discussion Series 2003-67, Board of Governors of the Federal Reserve System (U.S.).
  • Handle: RePEc:fip:fedgfe:2003-67
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    Cited by:

    1. Sanvi Avouyi-Dovi & Jean-Guillaume Sahuc, 2009. "Comportement du banquier central en environnement incertain," Revue d'économie politique, Dalloz, vol. 119(1), pages 119-142.
    2. Leitemo, Kai & Söderström, Ulf, 2008. "Robust monetary policy in a small open economy," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3218-3252, October.
    3. Andrew T. Levin & Alexei Onatski & John Williams & Noah M. Williams, 2006. "Monetary Policy Under Uncertainty in Micro-Founded Macroeconometric Models," NBER Chapters,in: NBER Macroeconomics Annual 2005, Volume 20, pages 229-312 National Bureau of Economic Research, Inc.
    4. Avouyi-Dovi, Sanvi & Sahuc, Jean-Guillaume, 2011. "On the welfare costs of misspecified monetary policy objectives," Journal of Macroeconomics, Elsevier, vol. 33(2), pages 151-161, June.
    5. Shin-ichi Fukuda, 2012. "Infrequent Changes of the Policy Target: Robust Optimal Monetary Policy under Ambiguity," CARF F-Series CARF-F-295, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    6. Levin, Andrew T. & Moessner, Richhild, 2005. "Inflation persistence and monetary policy design: an overview," Working Paper Series 539, European Central Bank.
    7. Marfatia, Hardik A., 2014. "Impact of uncertainty on high frequency response of the U.S. stock markets to the Fed's policy surprises," The Quarterly Review of Economics and Finance, Elsevier, vol. 54(3), pages 382-392.
    8. Flamini Alessandro, 2012. "Interest Rate Forecasts in Inflation Targeting Open-Economies," Economia politica, Società editrice il Mulino, issue 3, pages 381-408.
    9. Sirucek, Martin, 2012. "The impact of money supply on stock prices and stock bubbles," MPRA Paper 40919, University Library of Munich, Germany.
    10. Flamini, Alessandro & Milas, Costas, 2015. "Distribution forecast targeting in an open-economy, macroeconomic volatility and financial implications," Journal of Financial Stability, Elsevier, vol. 16(C), pages 89-105.
    11. Kimura, Takeshi & Kurozumi, Takushi, 2010. "Endogenous nominal rigidities and monetary policy," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 1038-1048, November.
    12. Sirucek, Martin, 2012. "Macroeconomic variables and stock market: US review," MPRA Paper 39094, University Library of Munich, Germany.
    13. Flamini Alessandro, 2012. "Economic Stability and the Choice of the Target Inflation Index," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(2), pages 1-37, April.
    14. Chesang, Laban K. & Naraidoo, Ruthira, 2016. "Parameter uncertainty and inflation dynamics in a model with asymmetric central bank preferences," Economic Modelling, Elsevier, vol. 56(C), pages 1-10.
    15. Walsh, Carl E., 2005. "Parameter misspecification and robust monetary policy rules," Working Paper Series 477, European Central Bank.
    16. Kimura, Takeshi & Kurozumi, Takushi, 2007. "Optimal monetary policy in a micro-founded model with parameter uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 31(2), pages 399-431, February.
    17. Walsh, Carl E., 2005. "Endogenous objectives and the evaluation of targeting rules for monetary policy," Journal of Monetary Economics, Elsevier, vol. 52(5), pages 889-911, July.
    18. Lioui, Abraham & Poncet, Patrice, 2012. "On model ambiguity and money neutrality," Journal of Macroeconomics, Elsevier, vol. 34(4), pages 1020-1033.
    19. Nicolas Pinkwart, 2010. "Uncertainty About the Persistence of Inflation," Working Papers 091, Bavarian Graduate Program in Economics (BGPE).
    20. Alessandro Flamini & Costas Milas, 2014. "Open-economy Distribution Forecast Targeting, Macroeconomic Volatility and Financial Implication," DEM Working Papers Series 080, University of Pavia, Department of Economics and Management.
    21. Zhao, Mingjun, 2007. "Monetary policy under misspecified expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1278-1299, April.
    22. Robert J. Tetlow, 2015. "Real-Time Model Uncertainty in the United States: "Robust" Policies Put to the Test," International Journal of Central Banking, International Journal of Central Banking, vol. 11(2), pages 113-155, March.
    23. Altavilla, Carlo & Ciccarelli, Matteo, 2010. "Evaluating the effect of monetary policy on unemployment with alternative inflation forecasts," Economic Modelling, Elsevier, vol. 27(1), pages 237-253, January.
    24. Moessner, Richhild, 2005. "Optimal discretionary policy and uncertainty about inflation persistence," Working Paper Series 540, European Central Bank.
    25. Kurozumi, Takushi, 2010. "Optimal Monetary Policy Under Parameter Uncertainty In A Simple Microfounded Model," Macroeconomic Dynamics, Cambridge University Press, vol. 14(02), pages 257-268, April.

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    Monetary policy ; Econometric models;

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