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Optimal Control and Filtering in Linear Forward-looking Economies: A Toolkit

  • Gerali, Andrea
  • Lippi, Francesco

We provide algorithms to solve a linear-quadratic optimal control problem with commitment. By extending to the case of imperfect information a procedure outlined in Ljungqvist and Sargent (2002), we make the results of Svensson and Woodford (2000) easy to implement. We provide a Mat-lab package that solves this class of models and analyses their properties using simulations, impulse response functions and other techniques, with both commitment and discretion. A monetary policy application, based on the “new-Keynesian” model of Clarida, Galí and Gertler (1999), is used to illustrate how the toolkit can be used.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 3706.

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Date of creation: Jan 2003
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Handle: RePEc:cpr:ceprdp:3706
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  1. Athanasios Orphanides, 2001. "Monetary Policy Rules Based on Real-Time Data," American Economic Review, American Economic Association, vol. 91(4), pages 964-985, September.
  2. Ehrmann, Michael & Smets, Frank, 2003. "Uncertain potential output: implications for monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 27(9), pages 1611-1638, July.
  3. Orphanides, Athanasios, 2000. "The quest for prosperity without inflation," Working Paper Series 0015, European Central Bank.
  4. 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.
  5. Woodford, M., 1999. "Optimal Monetary Policy Inertia.," Papers 666, Stockholm - International Economic Studies.
  6. Svensson, Lars E. O. & Woodford, Michael, 2003. "Indicator variables for optimal policy," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 691-720, April.
  7. Currie, David & Levine, Paul, 1986. "Time inconsistency and optimal policies in deterministic and stochastic worlds," Journal of Economic Dynamics and Control, Elsevier, vol. 10(1-2), pages 191-199, June.
  8. Backus, David & Driffill, John, 1986. "The Consistency of Optimal Policy in Stochastic Rational Expectations Models," CEPR Discussion Papers 124, C.E.P.R. Discussion Papers.
  9. Lars E. O. Svensson & Michael Woodford, 2003. "Optimal Policy with Partial Information in a Forward-Looking Model: Certainty-Equivalence Redux," NBER Working Papers 9430, National Bureau of Economic Research, Inc.
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