This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

E-Stability vis-a-vis Determinacy Results for a Broad Class of Linear Rational Expectations Models

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Bennett T. McCallum

Additional information is available for the following registered author(s):

Abstract

It is argued that learnability/E-stability is a necessary condition for a RE solution to be plausible. A class of linear models considered by Evans and Honkapohja (2001) is shown to include all models of the form used by King and Watson (1998) and Klein (2000), which permits any number of lags, leads, and lags of leads. For this broad class it is shown that, if current-period information is available in the learning process, determinacy is a sufficient condition for E-stability. It is not a necessary condition, however; there exist cases with more than one stable solution in which the solution based on the decreasing-modulus ordering of the system’s eigenvalues is E-stable. If in such a case the other stable solution(s) are not E-stable, then the condition of indeterminacy may not be important for practical issues.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. 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.nber.org/papers/w12441.pdf
File Format: application/pdf
File Function:
Download Restriction: Access to the full text is generally limited to series subscribers, however if the top level domain of the client browser is in a developing country or transition economy free access is provided. More information about subscriptions and free access is available at http://www.nber.org/wwphelp.html.

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Publisher Info
Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 12441.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length:
Date of creation: Aug 2006
Date of revision:
Handle: RePEc:nbr:nberwo:12441

Note: EFG ME
Contact details of provider:
Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.
Phone: 617-868-3900
Email:
Web page: http://www.nber.org
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: ().

Related research
Keywords:

Other versions of this item:

Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
E00 - Macroeconomics and Monetary Economics - - General - - - General

This paper has been announced in the following NEP Reports:

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.:
  1. James Bullard & Kaushik Mitra, 2002. "Learning about monetary policy rules," Working Papers 2000-001, Federal Reserve Bank of St. Louis. [Downloadable!]
    Other versions:
  2. Bernanke, Ben S & Woodford, Michael, 1997. "Inflation Forecasts and Monetary Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 653-84, November.
    Other versions:
  3. John H. Cochrane, 1998. "A Frictionless View of U.S. Inflation," CRSP working papers 479, Center for Research in Security Prices, Graduate School of Business, University of Chicago. [Downloadable!]
    Other versions:
  4. 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. [Downloadable!] (restricted)
  5. 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.
    Other versions:
  6. 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, vol. 4(3), pages 381-99.
  7. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January. [Downloadable!] (restricted)
    Other versions:
  8. Uhlig, H., 1995. "A toolkit for analyzing nonlinear dynamic stochastic models easily," Discussion Paper 97, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  9. King, Robert G & Watson, Mark W, 1998. "The Solution of Singular Linear Difference Systems under Rational Expectations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1015-26, November.
  10. Klaus Adam, 2003. "Learning and Equilibrium Selection in a Monetary Overlapping Generations Model with Sticky Prices," Review of Economic Studies, Blackwell Publishing, vol. 70(4), pages 887-907, October. [Downloadable!] (restricted)
    Other versions:
  11. George W. Evans & Roger Guesnerie, 2003. "Coordination on Saddle-Path Solutions: the Eductive Viewpoint - Linear Multivariate Models," DELTA Working Papers 2003-28, DELTA (Ecole normale supérieure). [Downloadable!]
    Other versions:
  12. Bennett McCallum, 2004. "On the Relationship Between Determinate and MSV Solutions in Linear RE Models," NBER Technical Working Papers 0297, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  13. Bennett T. McCallum, 1983. "On Non-Uniqueness in Rational Expectations Models: An Attempt at Perspective," NBER Working Papers 0684, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  14. Klaus Adam & George W. Evans & Seppo Honkapohja, 2004. "Are Stationary Hyperinflation Paths Learnable?," CFS Working Paper Series 2004/15, Center for Financial Studies. [Downloadable!]
    Other versions:
  15. Michael Woodford, 1995. "Price Level Determinacy Without Control of a Monetary Aggregate," NBER Working Papers 5204, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  16. Evans, George W., 1989. "The fragility of sunspots and bubbles," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 297-317, March. [Downloadable!] (restricted)
  17. Michael Woodford, 1994. "Nonstandard Indicators for Monetary Policy: Can Their Usefulness Be Judged from Forecasting Regressions?," NBER Chapters, in: Monetary Policy, pages 95-115 National Bureau of Economic Research, Inc. [Downloadable!]
  18. Evans, George, 1985. "Expectational Stability and the Multiple Equilibria Problem in Linear Rational Expectations Models," The Quarterly Journal of Economics, MIT Press, vol. 100(4), pages 1217-33, November. [Downloadable!] (restricted)
  19. George W. Evans & Roger Guesnerie, 1999. "Coordination on saddle path solutions: the eductive viewpoint," University of Oregon Economics Department Working Papers 2001-7, University of Oregon Economics Department, revised 15 May 2001. [Downloadable!]
  20. DeCanio, Stephen J, 1979. "Rational Expectations and Learning from Experience," The Quarterly Journal of Economics, MIT Press, vol. 93(1), pages 47-57, February. [Downloadable!] (restricted)
  21. Narayana Kocherlakota & Christopher Phelan, 1999. "Explaining the fiscal theory of the price level," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 14-23. [Downloadable!]
  22. 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. [Downloadable!] (restricted)
  23. Robert G. King, 2000. "The new IS-LM model : language, logic, and limits," Economic Quarterly, Federal Reserve Bank of Richmond, issue Sum, pages 45-103. [Downloadable!]
Full references

Cited by:
(explanations, 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.)

  1. Bask, Mikael, 2007. "Optimal monetary policy in a hybrid New Keynesian model with a cost channel," Research Discussion Papers 24/2007, Bank of Finland. [Downloadable!]
  2. Bennett T. McCallum, 2009. "Causality, Structure, and the Uniqueness of Rational Expectations Equilibria," NBER Working Papers 15234, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  3. Evans, George W & Honkapohja, Seppo, 2008. "Expectations, Learning and Monetary Policy: An Overview of Recent Rersearch," CEPR Discussion Papers 6640, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  4. Seonghoon Cho & Antonio Moreno, 2006. "Expectational Stability in Multivariate Models," Faculty Working Papers WP06/08, School of Economics and Business Administration, University of Navarra. [Downloadable!]
    Other versions:
  5. Llosa Gonzalo & Tuesta Vicente, 2007. "Learning about Monetary Policy Rules when the Cost Channel Matters," Working Papers 2007-014, Banco Central de Reserva del Perú. [Downloadable!]
    Other versions:
  6. Bennett T. McCallum, 2008. "Determinacy, Learnability, and Plausibility in Monetary Policy Analysis: Additional Results," NBER Working Papers 14164, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  7. James B. Bullard & Stefano Eusepi, 2009. "When does determinacy imply expectational stability?," Working Papers 2008-007, Federal Reserve Bank of St. Louis. [Downloadable!]
  8. Bennett T. McCallum, 2009. "Indeterminancy from inflation forecast targeting : problem or pseudo-problem?," Economic Quarterly, Federal Reserve Bank of Richmond, issue Win, pages 25-51. [Downloadable!]
  9. Bennett T. McCallum, 2009. "The Role of "Determinacy" in Monetary Policy Analysis," IMES Discussion Paper Series 09-E-17, Institute for Monetary and Economic Studies, Bank of Japan. [Downloadable!]
  10. Bask, Mikael, 2007. "Optimal monetary policy under heterogeneity in currency trade," Research Discussion Papers 21/2007, Bank of Finland. [Downloadable!]
  11. Bask, Mikael, 2007. "Instrument rules in monetary policy under heterogeneity in currency trade," Research Discussion Papers 22/2007, Bank of Finland. [Downloadable!]
    Other versions:
  12. Joseph Pearlman, 2007. " Is There More than One Way to be E-Stable?," CDMA Working Paper Series 0701, Centre for Dynamic Macroeconomic Analysis. [Downloadable!]
  13. Bask, Mikael, 2009. "Monetary Policy, Stock Price Misalignments and Macroeconomic Instability," Working Papers 540, Hanken School of Economics. [Downloadable!]
  14. George W. Evans & Seppo Honkapohja, 2008. "Learning and Macroeconomics," University of Oregon Economics Department Working Papers 2008-3, University of Oregon Economics Department. [Downloadable!]
  15. Bask, Mikael, 2007. "A case for interest rate smoothing," Research Discussion Papers 25/2007, Bank of Finland. [Downloadable!]
  16. Carceles-Poveda, Eva & Giannitsarou, Chryssi, 2006. "Adaptive Learning in Practice," CEPR Discussion Papers 5627, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  17. Ichiro Muto, 2008. "Monetary Policy and Learning from the Central Bank's Forecast," IMES Discussion Paper Series 08-E-01, Institute for Monetary and Economic Studies, Bank of Japan. [Downloadable!]
Statistics
Access and download statistics

Did you know? IDEAS uses the data collected within the RePEc project, the largest online bibliographic database in Economics.

This page was last updated on 2009-11-25.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.