IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/15.html
   My bibliography  Save this paper

Policy Evaluation and Design for Continuous Time Linear Rational Expectations Models: Some Recent Developments

Author

Listed:
  • Buiter, Willem H.

Abstract

This paper surveys some recent developments in policy evaluation and design in continuous time linear rational expectations models. Much recent work in macroeconomics and open economy macroeconomics fits into this category. First the continuous time analogue of the discrete time solution method of Blanchard and Kahn is reviewed. Some problems associated with this solution method are then discussed, including non-uniqueness and zero roots. Optimal (but in general time-inconsistent) and time-consistent (but in general suboptimal) solutions are derived to the general linear-quadratic optimal control problem, based on work by Calco, Driffill, Miller and Salmon and the author. A numerical example is solved, involving optimal and time-consistent anti-inflationary policy design in a contract model.

Suggested Citation

  • Buiter, Willem H., 1984. "Policy Evaluation and Design for Continuous Time Linear Rational Expectations Models: Some Recent Developments," CEPR Discussion Papers 15, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:15
    as

    Download full text from publisher

    File URL: http://www.cepr.org/active/publications/discussion_papers/dp.php?dpno=15
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Willem H. Buiter & Marcus Miller, 1991. "Real Exchange Rate Overshooting and the Output Cost of Bringing Down Inflation," NBER Chapters, in: International Volatility and Economic Growth: The First Ten Years of The International Seminar on Macroeconomics, pages 239-277, National Bureau of Economic Research, Inc.
    2. D. Currie & P. Levine, 1982. "A Solution Technique for Discrete and Continuous Time Stochastic Dynamic Models under Rational Expectations with Full & Partial Information Sets," Working Papers 87, Queen Mary University of London, School of Economics and Finance.
    3. Calvo, Guillermo A, 1978. "On the Time Consistency of Optimal Policy in a Monetary Economy," Econometrica, Econometric Society, vol. 46(6), pages 1411-1428, November.
    4. Buiter, Willem H. & Gersovitz, Mark, 1981. "Issues in controllability and the theory of economic policy," Journal of Public Economics, Elsevier, vol. 15(1), pages 33-43, February.
    5. 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 124-137, Supplemen.
    6. Jacob A. Frenkel, 1983. "Exchange Rates and International Macroeconomics," NBER Books, National Bureau of Economic Research, Inc, number fren83-1.
    7. Willem H. Buiter, 1980. "The Role of Economic Policy After the New Classical Macroeconomics," NBER Technical Working Papers 0006, National Bureau of Economic Research, Inc.
    8. Pearlman, Joseph & Currie, David & Levine, Paul, 1986. "Rational expectations models with partial information," Economic Modelling, Elsevier, vol. 3(2), pages 90-105, April.
    9. Michael Bruno & Jeffrey Sachs, 1982. "Input Price Shocks and the Slowdown in Economic Growth: The Case of U.K. Manufacturing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(5), pages 679-705.
    10. Lipton, David, et al, 1982. "Multiple Shooting in Rational Expectations Models [The Solution of Linear Difference Models under Rational Expectations]," Econometrica, Econometric Society, vol. 50(5), pages 1329-1333, September.
    11. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    12. McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
    13. Jennifer F. Reinganum & Nancy L. Stokey, 1981. "The Period of Commitment in Dynamic Games," Discussion Papers 508R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    14. Michael Bruno & Jeffrey Sachs, 1982. "Input Price Shocks and the Slowdown in Economic Growth: The Case of U.K.Manufacturing," NBER Working Papers 0851, National Bureau of Economic Research, Inc.
    15. Willem H. Buiter, 1981. "A Note on the Solution of A Two-Point Boundary Value Problem Frequently Encountered in Rational Expectations Models," NBER Technical Working Papers 0012, National Bureau of Economic Research, Inc.
    16. Guillermo A. Calvo, 1983. "Staggered Contracts and Exchange Rate Policy," NBER Chapters, in: Exchange Rates and International Macroeconomics, pages 235-258, National Bureau of Economic Research, Inc.
    17. Willem H. Buiter & Marcus Miller, 1983. "Real Exchange Rate Overshooting and the Output Cost of Bringing Down Inflation: Some Further Results," NBER Chapters, in: Exchange Rates and International Macroeconomics, pages 317-368, National Bureau of Economic Research, Inc.
    18. Olivier J. Blanchard, 1983. "Methods of Solution and Simulation for Dynamic Rational Expectations Models," NBER Technical Working Papers 0028, National Bureau of Economic Research, Inc.
    19. Willem H. Buiter, 1983. "Optimal and Time-Consistent Polices in Continuous Time Rational Expectations Models," NBER Technical Working Papers 0029, National Bureau of Economic Research, Inc.
    20. Willem H. Buiter & Marcus H. Miller, 1983. "Costs and Benefits of an Anti-Inflationary Policy: Questions and Issues," NBER Working Papers 1252, National Bureau of Economic Research, Inc.
    21. 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 473-491, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Amitrajeet Batabyal, 1996. "Consistency and optimality in a dynamic game of pollution control I: Competition," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 8(2), pages 205-220, September.
    2. Willem H. Buiter, 2004. "The Elusive Welfare Economics of Price Stability as a Monetary Policy Objective: Should New Keynesian Central Bankers Pursue Price Stability?," NBER Working Papers 10848, National Bureau of Economic Research, Inc.
    3. Amitrajeet Batabyal, 1996. "Consistency and optimality in a dynamic game of pollution control II: Monopoly," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 8(3), pages 315-330, October.
    4. Sen, Partha & Turnovsky, Stephen J., 1990. "Investment tax credit in an open economy," Journal of Public Economics, Elsevier, vol. 42(3), pages 277-299, August.
    5. van der Ploeg, Frederick, 1987. "International Interdependence and Policy Coordination in Economies with Real and Nominal Wage Rigidity," CEPR Discussion Papers 217, C.E.P.R. Discussion Papers.
    6. Grande, Giuseppe, 1997. "Properties of the monetary conditions index," MPRA Paper 23515, University Library of Munich, Germany.
    7. Alberto Petrucci, 2004. "Asset Accumulation, Fertility Choice and Nondegenerate Dynamics in a Small Open Economy," Working Papers 2004.121, Fondazione Eni Enrico Mattei.
    8. Buiter, Willem H., 2006. "The elusive welfare economics of price stability as a monetary policy objective: why New Keynesian central bankers should validate core inflation," Working Paper Series 609, European Central Bank.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Willem H. Buiter & Marcus H. Miller, 1983. "Costs and Benefits of an Anti-Inflationary Policy: Questions and Issues," NBER Working Papers 1252, National Bureau of Economic Research, Inc.
    3. Cristiano Cantore & Vasco J. Gabriel & Paul Levine & Joseph Pearlman & Bo Yang, 2013. "The science and art of DSGE modelling: II – model comparisons, model validation, policy analysis and general discussion," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 19, pages 441-463, Edward Elgar Publishing.
    4. 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.
    5. Levine, Paul & Pearlman, Joseph, 2011. "Computation of LQ Approximations to Optimal Policy Problems in Different Information Settings under Zero Lower Bound Constraints," Dynare Working Papers 10, CEPREMAP.
    6. Miller, Marcus H, 1985. "Monetary Stabilization Policy in an Open Economy," Scottish Journal of Political Economy, Scottish Economic Society, vol. 32(3), pages 220-233, November.
    7. Ambler, Steven & Cardia, Emanuela & Phaneuf, Louis, 1992. "Contrats de salaire, croissance endogène et fluctuations," L'Actualité Economique, Société Canadienne de Science Economique, vol. 68(1), pages 175-204, mars et j.
    8. Gilles Oudiz & Jeffrey Sachs, 1984. "International Policy Coordination in Dynamic Macroeconomic Models," NBER Working Papers 1417, National Bureau of Economic Research, Inc.
    9. Reinhard Neck, 1986. "Kann Stabilisierungspolitik unter Unsicherheit und Risiko "optimal" sein?," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 122(III), pages 509-534, September.
    10. Cohen Daniel & Michel Philippe, 1986. "Dynamic consistency of government's behavior : a user's guide," CEPREMAP Working Papers (Couverture Orange) 8605, CEPREMAP.
    11. Cardia, Emanuela, 1995. "The effects of fiscal policies in a general equilibrium model with nominal wage contracts," Economics Letters, Elsevier, vol. 49(1), pages 69-75, July.
    12. Goodhart, Charles, 1989. "The Conduct of Monetary Policy," Economic Journal, Royal Economic Society, vol. 99(396), pages 293-346, June.
    13. Huiping Yuan & Stephen M. Miller, 2013. "Target Controllability and Time Consistency: Complement to the Tinbergen Rule," Working papers 2013-35, University of Connecticut, Department of Economics.
    14. Francesco Carravetta & Marco Sorge, 2010. "A “Nearly Ideal” Solution to Linear Time-Varying Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 35(4), pages 331-353, April.
    15. Huiping Yuan & Stephen M. Miller, 2011. "The Optimality and Controllability of Discretionary Monetary Policy," Working papers 2011-17, University of Connecticut, Department of Economics.
    16. Ellison, Martin & Pearlman, Joseph, 2011. "Saddlepath learning," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1500-1519, July.
    17. Peter Isard & Douglas Laxton & Ann-Charlotte Eliasson, 1999. "Simple Monetary Policy Rules Under Model Uncertainty," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 6(4), pages 537-577, November.
    18. Kilponen, Juha, 2004. "Robust expectations and uncertain models: a robust contol approach with application to the new Keynesian economy," Bank of Finland Research Discussion Papers 5/2004, Bank of Finland.
    19. Jean-Bernard Chatelain & Kirsten Ralf, 2020. "How macroeconomists lost control of stabilization policy: towards dark ages," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 27(6), pages 938-982, November.
    20. Chatelain, Jean-Bernard & Ralf, Kirsten, 2014. "Stability and Identification with Optimal Macroprudential Policy Rules," EconStor Preprints 95979, ZBW - Leibniz Information Centre for Economics.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cpr:ceprdp:15. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.