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Computing Optimal Policy in a Timeless-Perspective: An Application to a Small-Open Economy

  • Michel Juillard
  • Florian Pelgrin

Since the contribution of Kydland and Prescott (1977), it is well known that the optimal Ramsey policy is time inconsistent. In a series of recent contributions, Woodford (2003) proposes a new methodology to circumvent this problem, namely the timeless perspective solution. However, one main limitation is that it is not yet empirically implementable. In this paper, we develop a new methodology to compute initial values of the Lagrange multipliers in order to implement the timeless-perspective solution. In so doing, we also provide a generalization of the Ramsey and timeless-perspective problems. We apply our results to a small-open economy model in Canada.

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Paper provided by Bank of Canada in its series Working Papers with number 07-32.

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Length: 37 pages
Date of creation: 2007
Date of revision:
Handle: RePEc:bca:bocawp:07-32
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  1. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
  2. P. Benigno & M. Woodford, 2003. "Optimal monetary and fiscal policy: a linear-quadratic approach," Proceedings, Board of Governors of the Federal Reserve System (U.S.).
  3. R. King & A. Wolman, 2003. "Monetary discretion, pricing complementarity and dynamic multiple equilibria," Proceedings, Board of Governors of the Federal Reserve System (U.S.).
  4. Henrik Jensen, . "Targeting Nominal Income Growth or Inflation?," EPRU Working Paper Series 99-23, Economic Policy Research Unit (EPRU), University of Copenhagen. Department of Economics.
  5. Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Optimal Fiscal and Monetary Policy Under Sticky Prices," NBER Working Papers 9220, National Bureau of Economic Research, Inc.
  6. Svensson, Lars E. O., 2000. "Open-economy inflation targeting," Journal of International Economics, Elsevier, vol. 50(1), pages 155-183, February.
  7. Michael Woodford, 1999. "Optimal monetary policy inertia," Proceedings, Federal Reserve Bank of San Francisco.
  8. Marc P. Giannoni & Michael Woodford, 2003. "Optimal Interest-Rate Rules: I. General Theory," Levine's Bibliography 506439000000000384, UCLA Department of Economics.
  9. 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.
  10. Albert Marcet & Ramon Marimon, 2011. "Recursive Contracts," Economics Working Papers ECO2011/15, European University Institute.
  11. Benigno, Pierpaolo & Woodford, Michael, 2012. "Linear-quadratic approximation of optimal policy problems," Journal of Economic Theory, Elsevier, vol. 147(1), pages 1-42.
  12. 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.
  13. Soderlind, Paul, 1999. "Solution and estimation of RE macromodels with optimal policy," European Economic Review, Elsevier, vol. 43(4-6), pages 813-823, April.
  14. Alexei Onatski & Noah Williams, 2003. "Modeling Model Uncertainty," Journal of the European Economic Association, MIT Press, vol. 1(5), pages 1087-1122, 09.
  15. Raf Wouters & Frank Smets, 2005. "Comparing shocks and frictions in US and euro area business cycles: a Bayesian DSGE Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(2), pages 161-183.
  16. 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.
  17. Leitemo , Kai & Söderström , Ulf, 2005. "Robust monetary policy in a small open economy," Research Discussion Papers 20/2005, Bank of Finland.
  18. McCallum, Bennett T & Nelson, Edward, 2000. "Monetary Policy for an Open Economy: An Alternative Framework with Optimizing Agents and Sticky Prices," Oxford Review of Economic Policy, Oxford University Press, vol. 16(4), pages 74-91, Winter.
  19. Pierpaolo Benigno & Michael Woodford, 2004. "Optimal Stabilization Policy When Wages and Prices are Sticky: The Case of a Distorted Steady State," NBER Working Papers 10839, National Bureau of Economic Research, Inc.
  20. Nicoletta Batini & Andrew G Haldane, 1999. "Forward-looking rules for monetary policy," Bank of England working papers 91, Bank of England.
  21. 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.
  22. Aubhik Khan & Robert G. King & Alexander L. Wolman, 2003. "Optimal Monetary Policy," Review of Economic Studies, Wiley Blackwell, vol. 70(4), pages 825-860, October.
  23. Fernandez-Villaverde, Jesus & Francisco Rubio-Ramirez, Juan, 2004. "Comparing dynamic equilibrium models to data: a Bayesian approach," Journal of Econometrics, Elsevier, vol. 123(1), pages 153-187, November.
  24. Pierpaolo Benigno & Michael Woodford, 2004. "Inflation Stabilization and Welfare: The Case of a Distorted Steady State," NBER Working Papers 10838, National Bureau of Economic Research, Inc.
  25. Carl Walsh, 2001. "Speed Limit Policies: The Output Gap and Optimal Monetary Policy," CESifo Working Paper Series 609, CESifo Group Munich.
  26. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January.
  27. Marvin Goodfriend & Robert G. King, 1998. "The new neoclassical synthesis and the role of monetary policy," Working Paper 98-05, Federal Reserve Bank of Richmond.
  28. Cohen, Daniel & Michel, Philippe, 1988. "How Should Control Theory Be Used to Calculate a Time-Consistent Government Policy?," Review of Economic Studies, Wiley Blackwell, vol. 55(2), pages 263-74, April.
  29. Lubik, Thomas A. & Schorfheide, Frank, 2007. "Do central banks respond to exchange rate movements? A structural investigation," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1069-1087, May.
  30. Sungbae An & Frank Schorfheide, 2007. "Bayesian Analysis of DSGE Models," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 113-172.
  31. Andrew T.. Levin & Volker Wieland & John Williams, 1999. "Robustness of Simple Monetary Policy Rules under Model Uncertainty," NBER Chapters, in: Monetary Policy Rules, pages 263-318 National Bureau of Economic Research, Inc.
  32. Denise Côté & John Kuszczak & Jean-Paul Lam & Ying Liu & Pierre St-Amant, 2004. "The performance and robustness of simple monetary policy rules in models of the Canadian economy," Canadian Journal of Economics, Canadian Economics Association, vol. 37(4), pages 978-998, November.
  33. Frank Smets & Rafael Wouters, 2005. "Bayesian New Neoclassical Synthesis (NNS) Models: Modern Tools for Central Banks," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 422-433, 04/05.
  34. Kydland, Finn E. & Prescott, Edward C., 1980. "Dynamic optimal taxation, rational expectations and optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 79-91, May.
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