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Solving for optimal simple rules in rational expectations models

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Author Info
Richard Dennis

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Abstract

This paper presents techniques to solve for optimal simple monetary policy rules in rational expectations models, assuming discretion. The techniques described are notable for the flexibility they provide over the structure of the policy rule being solved for. Specifically, not all state variables need enter the policy rule allowing rules optimal conditional on a given information set to be easily constructed. The algorithms described are compared to related solution methods, and applied to the model in Clarida, Gali, and Gertler (1999).

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Paper provided by Federal Reserve Bank of San Francisco in its series Working Papers in Applied Economic Theory with number 2000-14.

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Date of creation: 2000
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Handle: RePEc:fip:fedfap:2000-14

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Keywords: Econometric models ; Rational expectations (Economic theory);

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This paper has been announced in the following NEP Reports: References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  2. 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. [Downloadable!] (restricted)
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  3. Richard Clarida & Jordi Gali & Mark Gertler, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December. [Downloadable!] (restricted)
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  4. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September. [Downloadable!] (restricted)
  5. Binder,M. & Pesaran,H.M., 1995. "Multivariate Rational Expectations Models and Macroeconomic Modelling: A Review and Some New Results," Cambridge Working Papers in Economics 9415, Faculty of Economics, University of Cambridge.
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  6. Leitemo, Kai & Söderström, Ulf, 2001. "Simple Monetary Policy Rules and Exchange Rate Uncertainty," Working Paper Series 122, Sveriges Riksbank (Central Bank of Sweden). [Downloadable!]
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  7. Cooley, Thomas F. & Quadrini, Vincenzo, 1999. "A neoclassical model of the Phillips curve relation," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 165-193, October. [Downloadable!] (restricted)
  8. E.O. Svensson, Lars, 1994. "Why exchange rate bands? : Monetary independence in spite of fixed exchange rates," Journal of Monetary Economics, Elsevier, vol. 33(1), pages 157-199, February. [Downloadable!] (restricted)
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  9. Nicoletta Batini & Richard Harrison & Stephen P. Millard, 2001. "Monetary policy rules for an open economy," Proceedings, Federal Reserve Bank of San Francisco, issue Mar. [Downloadable!]
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  10. Aubhik Khan & Robert G. King & Alexander L. Wolman, 2000. "Optimal monetary policy," Working Paper 00-10, Federal Reserve Bank of Richmond. [Downloadable!]
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  11. King, Robert G & Watson, Mark W, 1998. "The Solution of Singular Linear Difference Systems under Rational Expectations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1015-26, November.
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  14. Mckibbin, Warwick J. & Sachs, Jeffrey D., 1988. "Comparing the global performance of alternative exchange arrangements," Journal of International Money and Finance, Elsevier, vol. 7(4), pages 387-410. [Downloadable!] (restricted)
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  16. Bennett T. McCallum, 1983. "On Non-Uniqueness in Rational Expectations Models: An Attempt at Perspective," NBER Working Papers 0684, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  17. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December. [Downloadable!] (restricted)
  18. David Currie & Paul Levine, 1985. "Macroeconomic Policy Design In An Interdependent World," NBER Chapters, in: International Economic Policy Coordination, pages 228-273 National Bureau of Economic Research, Inc. [Downloadable!]
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  20. Gilles Oudiz & Jeffrey Sachs, 1985. "International Policy Coordination In Dynamic Macroeconomic Models," NBER Chapters, in: International Economic Policy Coordination, pages 274-330 National Bureau of Economic Research, Inc. [Downloadable!]
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  22. Robert King & Alexander L. Wolman, 1999. "What Should the Monetary Authority Do When Prices Are Sticky?," NBER Chapters, in: Monetary Policy Rules, pages 349-404 National Bureau of Economic Research, Inc. [Downloadable!]
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  25. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July. [Downloadable!] (restricted)
  26. Richard Dennis, 2000. "Optimal simple targeting rules for small open economies," Working Papers in Applied Economic Theory 2000-20, Federal Reserve Bank of San Francisco. [Downloadable!]
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    Other versions:
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Arminio Fraga & Ilan Goldfajn & Andre Minella, 2003. "Inflation Targeting in Emerging Market Economies," NBER Working Papers 10019, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  2. Jan Strasky, 2005. "Optimal Forward-Looking Policy Rules in the Quarterly Projection Model of the Czech National Bank," Research and Policy Notes 2005/05, Czech National Bank, Research Department. [Downloadable!]
  3. Richard Dennis & Ulf Soderstrom, 2002. "How important is precommitment for monetary policy?," Working Papers in Applied Economic Theory 2002-10, Federal Reserve Bank of San Francisco. [Downloadable!]
    Other versions:
  4. Fabio M. Natalucci & Federico Ravenna, 2002. "The road to adopting the euro: monetary policy and exchange rate regimes in EU candidate countries," International Finance Discussion Papers 741, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
    Other versions:
  5. Jarkko Jääskelä & Jack McKeown, . "Misperceptions and monetary policy in a New Keynesian model," Bank of England working papers 278, Bank of England. [Downloadable!]
  6. Nicholas Apergis & Stephen M. Miller & Alexandros Panethimitakis & Athanasios Vamvakidis, 2005. "Inflation Targeting and Output Growth: Empirical Evidence for the European Union," IMF Working Papers 05/89, International Monetary Fund. [Downloadable!]
  7. Chadha, J.S. & Charles Nolan, 2002. "Optimal Simple Rules for the Conduct of Monetary and Fiscal Policy," Cambridge Working Papers in Economics 0224, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
  8. Pelin Ilbas, 2008. "Estimation of monetary policy preferences in a forward-looking model : a Bayesian approach," Research series 200803-12, National Bank of Belgium. [Downloadable!]
  9. Philip Liu, 2006. "Gains From Commitment Policy For A Small Open Economy: The Case Of New Zealand," CAMA Working Papers 2006-25, Australian National University, Centre for Applied Macroeconomic Analysis. [Downloadable!]
  10. Chadha, J.S. & Nolan, C., 2003. "On the Interaction of Monetary and Fiscal Policy," Cambridge Working Papers in Economics 0303, Faculty of Economics, University of Cambridge. [Downloadable!]
  11. Nicholas Apergis & Stephen M. Miller & Alexandros Panethimitakis & Athanassios Vamvakidis, 2005. "Inflation Targeting and Output Growth: Evidence from Aggregate European Data," Working papers 2005-06, University of Connecticut, Department of Economics. [Downloadable!]
  12. Simone Casellina & Mariacristina Uberti, 2008. "Optimal Monetary Policy and Long-term Interest Rate Dynamics: Taylor Rule Extensions," Computational Economics, Springer, vol. 32(1), pages 183-198, September. [Downloadable!] (restricted)
  13. Richard Dennis, 2000. "Optimal simple targeting rules for small open economies," Working Papers in Applied Economic Theory 2000-20, Federal Reserve Bank of San Francisco. [Downloadable!]
  14. Jean-Marc Natal, 2009. "Monetary policy response to oil price shocks," Working Paper Series 2009-16, Federal Reserve Bank of San Francisco. [Downloadable!]
  15. Richard Dennis, 2001. "Optimal policy in rational-expectations models: new solution algorithms," Working Papers in Applied Economic Theory 2001-09, Federal Reserve Bank of San Francisco. [Downloadable!]
    Other versions:
  16. Pelin Ilbas, 2007. "Optimal Monetary Policy Rules for the Euro Area in a DSGE Framework," Money Macro and Finance (MMF) Research Group Conference 2006 59, Money Macro and Finance Research Group. [Downloadable!]
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