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Two-sided Learning and Optimal Monetary Policy in an Open Economy Model

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  • Timothy Kam

    (UWA Business School, The University of Western Australia)

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    Abstract

    In this paper, we consider a dynamic New Keynesian model of the small open economy in the light of bounded rationality. This entails private agents and the central bank updating their beliefs about the laws of motion of inflation, the output gap and real exchange rate, when forming their optimal decisions. It is shown that when all players learn using recursive least-squares or stochastic-gradient adaptive algorithms, the optimal policy steers the economy towards a rational expectations equilibrium (REE) with probability one in some cases. This is also the case when only private agents are learning. However there also exists structural parameter values in the true model such that learning converges with probability zero to REE.

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    File URL: http://www.biz.uwa.edu.au/home/research/discussionworking_papers/economics/2004?f=150997
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    Bibliographic Info

    Paper provided by The University of Western Australia, Department of Economics in its series Economics Discussion / Working Papers with number 04-07.

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    Length: 27 pages
    Date of creation: 2004
    Date of revision:
    Handle: RePEc:uwa:wpaper:04-07

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    Related research

    Keywords: Optimal monetary policy; Small open economy; Learning; Stochastic approximation;

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    References

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    1. Tommaso Monacelli, 2003. "Monetary Policy in a Low Pass-Through Environment," Working Papers 228, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    2. Honkapohja, S. & Evans, G.W., 2000. "Expectations and the Stability Problem for Optimal Monetary Policies," University of Helsinki, Department of Economics 481, Department of Economics.
    3. Richard Clarida & Jordi Gali & Mark Gertler, 2001. "Optimal Monetary Policy in Open versus Closed Economies: An Integrated Approach," American Economic Review, American Economic Association, vol. 91(2), pages 248-252, May.
    4. Jordi Gali & Tommaso Monacelli, 1999. "Optimal Monetary Policy and Exchange Rate Volatility in a Small Open Economy," Boston College Working Papers in Economics 438, Boston College Department of Economics, revised 15 Nov 1999.
    5. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    6. Ben S. Bernanke & Michael Woodford, 1997. "Inflation Forecasts and Monetary Policy," NBER Working Papers 6157, National Bureau of Economic Research, Inc.
    7. Svensson, Lars E O & Woodford, Michael, 2004. "Implementing Optimal Policy Through Inflation-Forecast Targeting," CEPR Discussion Papers 4229, C.E.P.R. Discussion Papers.
    8. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-54, April.
    9. Jordi Gali & Tommaso Monacelli, 2002. "Monetary Policy and Exchange Rate Volatility in a Small Open Economy," NBER Working Papers 8905, National Bureau of Economic Research, Inc.
    10. Kuan, Chung-Ming & White, Halbert, 1994. "Adaptive Learning with Nonlinear Dynamics Driven by Dependent Processes," Econometrica, Econometric Society, vol. 62(5), pages 1087-1114, September.
    11. Lars Peter Hansen & Thomas J. Sargent, 2001. "Acknowledging Misspecification in Macroeconomic Theory," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(3), pages 519-535, July.
    12. Barro, Robert J. & Gordon, David B., 1983. "Rules, discretion and reputation in a model of monetary policy," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 101-121.
    13. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    14. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-91, June.
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    Cited by:
    1. Fujisaki, Seiya, 2012. "Interest Rate Control Rules and Macroeconomic Stability in a Heterogeneous Two-Country Model," MPRA Paper 37017, University Library of Munich, Germany.
    2. Fujisaki, Seiya, 2013. "Taylor rules and equilibrium determinacy in a two-country model with non-traded goods," Economic Modelling, Elsevier, vol. 35(C), pages 597-603.

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