IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Computation of LQ Approximations to Optimal Policy Problems in Different Information Settings under Zero Lower Bound Constraints

  • Levine, Paul
  • Pearlman, Joseph

This paper describes a series of algorithms that are used to compute optimal policy under full and imperfect information. Firstly we describe how to obtain linear quadratic (LQ) approximations to a nonlinear optimal policy problem. We develop novel algorithms that are required as a result of having agents with forward-looking expectations, that go beyond the scope of those that are used when all equations are backward-looking; these are utilised to generate impulse response functions and second moments for the case of imperfect information. We describe algorithms for reducing a system to minimal form that are based on conventional approaches, and that are necessary to ensure that a solution for fully optimal policy can be computed. Finally we outline a computational algorithm that is used to generate solutions when there is a zero lower bound constraint for the nominal interest rate.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.dynare.org/wp-repo/dynarewp010.pdf
Download Restriction: no

Paper provided by CEPREMAP in its series Dynare Working Papers with number 10.

as
in new window

Length: 26 pages
Date of creation: Nov 2011
Date of revision:
Handle: RePEc:cpm:dynare:010
Contact details of provider: Postal: 48 boulevard Jourdan - 75014 PARIS
Phone: +33(0) 1 43 13 62 30
Fax: +33(0) 1 43 13 62 32
Web page: http://www.cepremap.fr/

More information through EDIRC

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.:

as in new window
  1. Dennis, Richard & Söderström, Ulf, 2002. "How Important Is Precommitment for Monetary Policy?," Working Paper Series 139, Sveriges Riksbank (Central Bank of Sweden).
  2. Kim, Jinill & Kim, Sunghyun Henry, 2003. "Spurious welfare reversals in international business cycle models," Journal of International Economics, Elsevier, vol. 60(2), pages 471-500, August.
  3. Levine, Paul & Pearlman, Joseph & Pierse, Richard, 2008. "Linear-quadratic approximation, external habit and targeting rules," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3315-3349, October.
  4. Klaus Adam & Roberto M. Billi, 2005. "Discretionary monetary policy and the zero lower bound on nominal interest rates," Research Working Paper RWP 05-08, Federal Reserve Bank of Kansas City.
  5. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, June.
  6. Ehrmann, Michael & Smets, Frank, 2001. "Uncertain potential output: implications for monetary policy," Working Paper Series 0059, European Central Bank.
  7. repec:cup:cbooks:9780521441964 is not listed on IDEAS
  8. Miller, Marcus & Salmon, Mark, 1985. "Dynamic Games and the Time Inconsistency of Optimal Policy in Open Economies," Economic Journal, Royal Economic Society, vol. 95(380a), pages 124-37, Supplemen.
  9. Taylor, John B., 1998. "The Robustness and Efficiency of Monetary Policy Rules as Guidelines for Interest Rate Setting by the European Central Bank," Seminar Papers 649, Stockholm University, Institute for International Economic Studies.
  10. Currie, David & Levine, Paul, 1985. "Simple Macropolicy Rules for the Open Economy," Economic Journal, Royal Economic Society, vol. 95(380a), pages 60-70, Supplemen.
  11. Benigno, Gianluca & Benigno, Pierpaolo, 2003. "Designing targeting rules for international monetary policy cooperation," Working Paper Series 0279, European Central Bank.
  12. John B. Taylor, 1999. "Introduction to "Monetary Policy Rules"," NBER Chapters, in: Monetary Policy Rules, pages 1-14 National Bureau of Economic Research, Inc.
  13. Giovanni Dell'Ariccia & Olivier J. Blanchard & Paolo Mauro, 2010. "Rethinking Macroeconomic Policy," IMF Staff Position Notes 2010/03, International Monetary Fund.
  14. Söderlind, Paul, 1998. "Solution and Estimation of RE Macromodels with Optimal Policy," SSE/EFI Working Paper Series in Economics and Finance 256, Stockholm School of Economics.
  15. 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.
  16. Robert J. Barro & David B. Gordon, 1983. "Rules, Discretion and Reputation in a Model of Monetary Policy," NBER Working Papers 1079, National Bureau of Economic Research, Inc.
  17. Magill, Michael J. P., 1977. "A local analysis of N-sector capital accumulation under uncertainty," Journal of Economic Theory, Elsevier, vol. 15(1), pages 211-219, June.
  18. Calvo, Guillermo A, 1978. "On the Time Consistency of Optimal Policy in a Monetary Economy," Econometrica, Econometric Society, vol. 46(6), pages 1411-28, November.
  19. Tatiana Kirsanova, 2004. "A note on timeless perspective policy design," Money Macro and Finance (MMF) Research Group Conference 2003 50, Money Macro and Finance Research Group.
  20. Pearlman, Joseph G., 1992. "Reputational and nonreputational policies under partial information," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 339-357, April.
  21. Pierpaolo Benigno & Michael Woodford, 2008. "Linear-Quadratic Approximation of Optimal Policy Problems," Discussion Papers 0809-01, Columbia University, Department of Economics.
  22. 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.
  23. Levine, Paul & Currie, David, 1987. "The design of feedback rules in linear stochastic rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 11(1), pages 1-28, March.
  24. Guido Ascari & Tiziano Ropele, 2009. "Trend Inflation, Taylor Principle, and Indeterminacy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(8), pages 1557-1584, December.
  25. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, May.
  26. Ascari, Guido & Ropele, Tiziano, 2007. "Optimal monetary policy under low trend inflation," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2568-2583, November.
  27. Olivier Coibion & Yuriy Gorodnichenko & Johannes Wieland, 2010. "The Optimal Inflation Rate in New Keynesian Models," Working Papers 91, Department of Economics, College of William and Mary.
  28. Michael Woodford, 1999. "Commentary : how should monetary policy be conducted in an era of price stability?," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 277-316.
  29. 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.
  30. Levine, Paul & Currie, David, 1985. "Optimal feedback rules in an open economy macromodel with rational expectations," European Economic Review, Elsevier, vol. 27(2), pages 141-163, March.
  31. Volker Wieland & Gunter Coenen, 2003. "The Zero-Interest-Rate Bound and the Role of the Exchange Rate for Monetary Policy in Japan," Computing in Economics and Finance 2003 138, Society for Computational Economics.
  32. 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.
  33. Levine, Paul & McAdam, Peter & Pearlman, Joseph G., 2007. "Quantifying and sustaining welfare gains from monetary commitment," Working Paper Series 0709, European Central Bank.
  34. Eggertsson, Gauti B., 2006. "The Deflation Bias and Committing to Being Irresponsible," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(2), pages 283-321, March.
  35. Pearlman, Joseph & Currie, David & Levine, Paul, 1986. "Rational expectations models with partial information," Economic Modelling, Elsevier, vol. 3(2), pages 90-105, April.
  36. Magill, Michael J. P., 1977. "Some new results on the local stability of the process of capital accumulation," Journal of Economic Theory, Elsevier, vol. 15(1), pages 174-210, June.
  37. William T. Gavin & Benjamin D. Keen, 2012. "The zero lower bound and the dual mandate," Working Papers 2012-026, Federal Reserve Bank of St. Louis.
  38. 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.
  39. Walsh, Carl E., 2003. "Comment on: The zero-interest-rate bound and the role of the exchange rate for monetary policy in Japan," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1103-1108, July.
  40. Currie, David & Levine, Paul L, 1986. "Credibility and Time Inconsistency in a Stochastic World," CEPR Discussion Papers 94, C.E.P.R. Discussion Papers.
  41. Taylor, John B., 1983. "`Rules, discretion and reputation in a model of monetary policy' by Robert J. Barro and David B. Gordon," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 123-125.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:cpm:dynare:010. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Stéphane Adjemian)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.