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Imperfect Knowledge And The Pitfalls Of Optimal Control Monetary Policy

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Athanasios Orphanides
John C. Williams

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Abstract

This paper examines the robustness characteristics of optimal control policies derived under the assumption of rational expectations to alternative models of expectations formation and uncertainty about the natural rates of interest and unemployment. We assume that agents have imperfect knowledge about the precise structure of the economy and form expectations using a forecasting model that they continuously update based on incoming data. We also allow for central bank uncertainty regarding the natural rates of interest and unemployment. We find that the optimal control policy derived under the assumption of rational expectations performs rather poorly when agents learn. These problems are exacerbated by natural rate uncertainty, even< when the central bank's natural rates are efficient. We then examine two types of simple monetary policy rules from the literature that have been found to be robust to model misspecification in other contexts. We find that these policies are robust to the alternative models of learning that we study and natural rate uncertainty and outperform the optimal control policy for empirically plausible parameterizations of the learning and natural rates models.

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Paper provided by Central Bank of Chile in its series Working Papers Central Bank of Chile with number 499.

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Date of creation: Oct 2008
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Handle: RePEc:chb:bcchwp:499

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  1. Milton Friedman, 1947. "Lerner on the Economics of Control," Journal of Political Economy, University of Chicago Press, vol. 55, pages 405. [Downloadable!] (restricted)
  2. Levin, Andrew T. & Williams, John C., 2003. "Robust monetary policy with competing reference models," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 945-975, July. [Downloadable!] (restricted)
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  3. Mccallum, Bennet T., 1988. "Robustness properties of a rule for monetary policy," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 29(1), pages 173-203, January. [Downloadable!] (restricted)
  4. Rogoff, Kenneth, 1985. "The Optimal Degree of Commitment to an Intermediate Monetary Target," The Quarterly Journal of Economics, MIT Press, vol. 100(4), pages 1169-89, November. [Downloadable!] (restricted)
  5. Taylor, John B., 1999. "The robustness and efficiency of monetary policy rules as guidelines for interest rate setting by the European central bank," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 655-679, June. [Downloadable!] (restricted)
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  6. Brock, William A. & Durlauf, Steven N. & West, Kenneth D., 2007. "Model uncertainty and policy evaluation: Some theory and empirics," Journal of Econometrics, Elsevier, vol. 136(2), pages 629-664, February. [Downloadable!] (restricted)
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  7. Branch, William A. & Evans, George W., 2006. "A simple recursive forecasting model," Economics Letters, Elsevier, vol. 91(2), pages 158-166, May. [Downloadable!] (restricted)
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  8. Athanasios Orphanides & John C. Williams, 2002. "Robust monetary policy rules with unknown natural rates," Working Papers in Applied Economic Theory 2003-01, Federal Reserve Bank of San Francisco. [Downloadable!]
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  9. Cukierman, Alex & Lippi, Francesco, 2005. "Endogenous monetary policy with unobserved potential output," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 1951-1983, November. [Downloadable!] (restricted)
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  10. 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)
  11. Clark, Todd E. & Kozicki, Sharon, 2005. "Estimating equilibrium real interest rates in real time," The North American Journal of Economics and Finance, Elsevier, vol. 16(3), pages 395-413, December. [Downloadable!] (restricted)
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  12. Athanasios Orphanides & Simon van Norden, 2002. "The Unreliability of Output-Gap Estimates in Real Time," The Review of Economics and Statistics, MIT Press, vol. 84(4), pages 569-583, 07. [Downloadable!] (restricted)
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  13. Svensson, Lars E. O. & Woodford, Michael, 2003. "Indicator variables for optimal policy," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 691-720, April. [Downloadable!] (restricted)
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  14. Lars O. Svensson & Robert J. Tetlow, 2005. "Optimal Policy Projections," NBER Working Papers 11392, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  15. Orphanides, Athanasios & Porter, Richard D. & Reifschneider, David & Tetlow, Robert & Finan, Frederico, 2000. "Errors in the measurement of the output gap and the design of monetary policy," Journal of Economics and Business, Elsevier, vol. 52(1-2), pages 117-141. [Downloadable!] (restricted)
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  16. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August. [Downloadable!] (restricted)
  17. Thomas Laubach & John C. Williams, 2003. "Measuring the Natural Rate of Interest," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1063-1070, November. [Downloadable!] (restricted)
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  18. Milani, Fabio, 2007. "Expectations, learning and macroeconomic persistence," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 2065-2082, October. [Downloadable!] (restricted)
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