IDEAS home Printed from https://ideas.repec.org/p/cmu/gsiawp/296.html
   My bibliography  Save this paper

Role of the minimal state variable criterion in rational expectations models

Author

Listed:
  • Bennett T. McCallum

Abstract

This paper concerns the minimal-state-variable (MSV) criterion for selection among solutions in rational expectationsmodels that feature a multiplicity of paths that satisfy all of the model's conditions. It compares the MSVcriterion with others, including the widely used saddle-path (dynamic stability) criterion. It is emphasized that theMSV criterion can be viewed as a scientifically useful classification scheme that delineates the unique solutionthat is free of bubble components. In the process of demonstrating uniqueness for a broad class of linear models,the paper exposits a convenient computational procedure. Applications to current issues are outlined. Copyright Kluwer Academic Publishers 1999
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Bennett T. McCallum, "undated". "Role of the minimal state variable criterion in rational expectations models," GSIA Working Papers 1999-13, Carnegie Mellon University, Tepper School of Business.
  • Handle: RePEc:cmu:gsiawp:296
    as

    Download full text from publisher

    File URL: https://student-3k.tepper.cmu.edu/gsiadoc/wp/1999-13.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," The Quarterly Journal of Economics, Oxford University Press, vol. 115(1), pages 147-180.
    2. Gray, Jo Anna, 1984. "Dynamic Instability in Rational Expectations Models: An Attempt to Clarify," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 93-122, February.
    3. Svensson, Lars E. O., 1999. "Inflation targeting as a monetary policy rule," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 607-654, June.
    4. Froot, Kenneth A & Obstfeld, Maurice, 1991. "Intrinsic Bubbles: The Case of Stock Prices," American Economic Review, American Economic Association, vol. 81(5), pages 1189-1214, December.
    5. Obstfeld, Maurice & Rogoff, Kenneth, 1983. "Speculative Hyperinflations in Maximizing Models: Can We Rule Them Out?," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 675-687, August.
    6. Flood, Robert P & Garber, Peter M, 1980. "An Economic Theory of Monetary Reform," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 24-58, February.
    7. Bernanke, Ben S & Woodford, Michael, 1997. "Inflation Forecasts and Monetary Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 653-684, November.
    8. 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.
    9. Sims, Christopher A, 1994. "A Simple Model for Study of the Determination of the Price Level and the Interaction of Monetary and Fiscal Policy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 381-399.
    10. McCallum, Bennett T., 1998. "Solutions to linear rational expectations models: a compact exposition," Economics Letters, Elsevier, vol. 61(2), pages 143-147, November.
    11. McCallum, Bennett T & Nelson, Edward, 1999. "An Optimizing IS-LM Specification for Monetary Policy and Business Cycle Analysis," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(3), pages 296-316, August.
    12. 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.
    13. Evans, George W & Honkapohja, Seppo, 1992. "On the Robustness of Bubbles in Linear RE Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(1), pages 1-14, February.
    14. Taylor, John B, 1977. "Conditions for Unique Solutions in Stochastic Macroeconomic Models with Rational Expectations," Econometrica, Econometric Society, vol. 45(6), pages 1377-1385, September.
    15. Rotemberg, Julio J, 1982. "Sticky Prices in the United States," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1187-1211, December.
    16. George Evans, 1985. "Expectational Stability and the Multiple Equilibria Problem in Linear Rational Expectations Models," The Quarterly Journal of Economics, Oxford University Press, vol. 100(4), pages 1217-1233.
    17. Calvo, Guillermo A., 1978. "On the indeterminacy of interest rates and wages with perfect foresight," Journal of Economic Theory, Elsevier, vol. 19(2), pages 321-337, December.
    18. Burmeister, Edwin & Flood, Robert P. & Garber, Peter M., 1983. "On the equivalence of solutions in rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 5(1), pages 311-321, February.
    19. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    20. William Kerr & Robert G. King, 1996. "Limits on interest rate rules in the IS model," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 47-75.
    Full references (including those not matched with items on IDEAS)

    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. Bennett T. McCallum, 2000. "Role of the Minimal State Variable Criterion," NBER Working Papers 7087, National Bureau of Economic Research, Inc.
    2. McCallum, Bennett T., 2003. "Multiple-solution indeterminacies in monetary policy analysis," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1153-1175, July.
    3. McCallum, Bennett T., 2007. "E-stability vis-a-vis determinacy results for a broad class of linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1376-1391, April.
    4. Aoki, Kosuke, 2006. "Optimal commitment policy under noisy information," Journal of Economic Dynamics and Control, Elsevier, vol. 30(1), pages 81-109, January.
    5. Olivier Loisel, 2004. "Monetary policy rules to preclude booms and busts," Money Macro and Finance (MMF) Research Group Conference 2003 56, Money Macro and Finance Research Group.
    6. Peter N. Ireland, 2004. "Technology Shocks in the New Keynesian Model," The Review of Economics and Statistics, MIT Press, vol. 86(4), pages 923-936, November.
    7. Stephanie Schmitt-Grohe & Jess Benhabib & Martin Uribe, 2001. "Monetary Policy and Multiple Equilibria," American Economic Review, American Economic Association, vol. 91(1), pages 167-186, March.
    8. Ireland, Peter N, 2004. "Money's Role in the Monetary Business Cycle," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(6), pages 969-983, December.
    9. Bennett T. McCallum, 2002. "The Unique Minimum State Variable RE Soluiton is E-Stable in All Well Formulated Linear Models," GSIA Working Papers 2003-25, Carnegie Mellon University, Tepper School of Business.
    10. Leith, Campbell & von Thadden, Leopold, 2008. "Monetary and fiscal policy interactions in a New Keynesian model with capital accumulation and non-Ricardian consumers," Journal of Economic Theory, Elsevier, vol. 140(1), pages 279-313, May.
    11. M. Marzo, 2001. "Evaluating Monetary Policy Regimes: the Role of Nominal Rigidities," Working Papers 411, Dipartimento Scienze Economiche, Universita' di Bologna.
    12. Michael Woodford, 1999. "Optimal Monetary Policy Inertia," Manchester School, University of Manchester, vol. 67(s1), pages 1-35.
    13. Svensson, Lars E. O., 2000. "Open-economy inflation targeting," Journal of International Economics, Elsevier, vol. 50(1), pages 155-183, February.
    14. Tsuzuki, Eiji & Inoue, Tomohiro, 2011. "Technological change and monetary policy in a sticky-price model," Research in Economics, Elsevier, vol. 65(3), pages 180-194, September.
    15. Linnemann, Ludger, 2006. "Interest rate policy, debt, and indeterminacy with distortionary taxation," Journal of Economic Dynamics and Control, Elsevier, vol. 30(3), pages 487-510, March.
    16. Éric Jondeau & Hervé Le Bihan, 2002. "Evaluating Monetary Policy Rules in Estimated Forward-Looking Models: A Comparison of US and German Monetary Policies," Annals of Economics and Statistics, GENES, issue 67-68, pages 357-388.
    17. Leitemo, Kai, 2006. "Targeting inflation by forecast feedback rules in small open economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(3), pages 393-413, March.
    18. Ellen R. McGrattan, 2001. "Predicting the effects of Federal Reserve policy in a sticky price model: an analytical approach," Proceedings, Federal Reserve Bank of San Francisco, issue Jun.
    19. Bennett T. McCallum, 2002. "Consistent Expectations, Rational Expectations, Multiple-Solution Indeterminacies, and Least-Squares Learnability," NBER Working Papers 9218, National Bureau of Economic Research, Inc.
    20. Luis-Felipe Zanna & Marco Airaudo, 2005. "Learning about which measure of inflation to target," Computing in Economics and Finance 2005 176, Society for Computational Economics.

    More about this item

    Statistics

    Access and download statistics

    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:cmu:gsiawp:296. 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: (Steve Spear). General contact details of provider: http://www.tepper.cmu.edu/ .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.