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Optimal policy in rational-expectations models: new solution algorithms

  • Richard Dennis

This paper develops algorithms that solve for optimal discretionary and optimal pre-commitment policies in rational-expectations models. The techniques developed are simpler to apply than existing methods; they do not require identifying and separating predetermined variables from jump variables, and they eliminate many of the mathematical preliminaries that are required to implement existing methods. The techniques developed are applied to examples to assess the benefits of pre-commitment over discretion.

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Paper provided by Federal Reserve Bank of San Francisco in its series Working Paper Series with number 2001-09.

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Date of creation: 2001
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Handle: RePEc:fip:fedfwp:2001-09
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  1. 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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  3. Andrew Levin & Christopher J. Erceg & Dale W. Henderson, 1999. "Optimal Monetary Policy with Staggered Wage and Price Contracts," Computing in Economics and Finance 1999 1151, Society for Computational Economics.
  4. Rustem, B. & Zarrop, M.B., 1979. "A newton-type method for the optimization and control of non-linear econometric models," Journal of Economic Dynamics and Control, Elsevier, vol. 1(3), pages 283-300.
  5. Jordi Gal� & Tommaso Monacelli, 2005. "Monetary Policy and Exchange Rate Volatility in a Small Open Economy," Review of Economic Studies, Oxford University Press, vol. 72(3), pages 707-734.
  6. Richard Clarida & Jordi Galí & Mark Gertler, 1997. "The science of monetary policy: A new Keynesian perspective," Economics Working Papers 356, Department of Economics and Business, Universitat Pompeu Fabra, revised Apr 1999.
  7. Lawrence J. Christiano, 1998. "Solving dynamic equilibrium models by a method of undetermined coefficients," Working Paper 9804, Federal Reserve Bank of Cleveland.
  8. John B. Taylor, 1999. "A Historical Analysis of Monetary Policy Rules," NBER Chapters, in: Monetary Policy Rules, pages 319-348 National Bureau of Economic Research, Inc.
  9. Chen, Baoline & Zadrozny, Peter A., 2002. "An anticipative feedback solution for the infinite-horizon, linear-quadratic, dynamic, Stackelberg game," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1397-1416, August.
  10. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
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  12. Hans M. Amman & David A. Kendrick, 1997. "Linear Quadratic Optimization for Models with Rational Expectations," CARE Working Papers 9708, The University of Texas at Austin, Center for Applied Research in Economics.
  13. Blake, Andrew P., 2004. "Open loop time consistency for linear rational expectations models," Economics Letters, Elsevier, vol. 82(1), pages 21-27, January.
  14. Athanasios Orphanides & Volker Wieland, 1998. "Price stability and monetary policy effectiveness when nominal interest rates are bounded at zero," Finance and Economics Discussion Series 1998-35, Board of Governors of the Federal Reserve System (U.S.).
  15. Lars E. O. Svensson, 2003. "What is Wrong with Taylor Rules? Using Judgment in Monetary Policy through Targeting Rules," NBER Working Papers 9421, National Bureau of Economic Research, Inc.
  16. Christian Jensen & Bennett C. McCallum, 2002. "The Non-Optimality of Proposed Monetary Policy Rules Under Timeless-Perspective Commitment," NBER Working Papers 8882, National Bureau of Economic Research, Inc.
  17. Dennis, Richard, 2004. "Solving for optimal simple rules in rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 28(8), pages 1635-1660, June.
  18. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
  19. Krusell, Per & Quadrini, Vincenzo & Rios-Rull, Jose-Victor, 1997. "Politico-economic equilibrium and economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 243-272, January.
  20. Soderlind, Paul, 1999. "Solution and estimation of RE macromodels with optimal policy," European Economic Review, Elsevier, vol. 43(4-6), pages 813-823, April.
  21. John B. Taylor, 1999. "Introduction to "Monetary Policy Rules"," NBER Chapters, in: Monetary Policy Rules, pages 1-14 National Bureau of Economic Research, Inc.
  22. 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.
  23. 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.
  24. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, October.
  25. 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.
  26. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
  27. J. E. Stiglitz, 1999. "Introduction," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 28(3), pages 249-254, November.
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