(Translated by https://www.hiragana.jp/)
Solution and Maximum Likelihood Estimation of Dynamic Nonlinear RationalExpectations Models
IDEAS home Printed from https://ideas.repec.org/p/nbr/nberte/0005.html
   My bibliography  Save this paper

Solution and Maximum Likelihood Estimation of Dynamic Nonlinear RationalExpectations Models

Author

Listed:
  • Ray C. Fair
  • John B. Taylor

Abstract

A solution method and an estimation method for nonlinear rational expectations models are presented in this paper. The solution method can be used in forecasting and policy applications and can handle models with serial correlation and multiple viewpoint dates. When applied to linear models, the solution method yields the same results as those obtained from currently available methods that are designed specifically for linear models. It is, however, more flexible and general than these methods. For large nonlinear models the results in this paper indicate that the method works quite well. The estimation method is based on the maximum likelihood principal. It is, as far as we know, the only method available for obtaining maximum likelihood estimates for nonlinear rational expectations models. The method has the advantage of being applicable to a wide range of models, including, as a special case, linear ,models. The method can also handle different assumptions about the expectations of the exogenous variables, something which is not true of currently available approaches to linear models.

Suggested Citation

  • Ray C. Fair & John B. Taylor, 1980. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear RationalExpectations Models," NBER Technical Working Papers 0005, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberte:0005
    Note: EFG
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/t0005.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-681, September.
    2. Hansen, Lars Peter & Sargent, Thomas J., 1980. "Formulating and estimating dynamic linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 7-46, May.
    3. Sargent, Thomas J, 1981. "Interpreting Economic Time Series," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 213-248, April.
    4. 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.
    5. Wallis, Kenneth F, 1980. "Econometric Implications of the Rational Expectations Hypothesis," Econometrica, Econometric Society, vol. 48(1), pages 49-73, January.
    6. Chow, Gregory C., 1980. "Estimation of rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 241-255, May.
    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. Sargent, Thomas J, 1982. "Beyond Demand and Supply Curves in Macroeconomics," American Economic Review, American Economic Association, vol. 72(2), pages 382-389, May.
    2. Lars Peter Hansen & Thomas J. Sargent, 1993. "Recursive linear models of dynamic economies," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
    3. Lars Peter Hansen & Thomas J. Sargent, 1982. "Formulating and estimating continuous time rational expectations models," Staff Report 75, Federal Reserve Bank of Minneapolis.
    4. 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.
    5. Willem H. Buiter, 1981. "Macroeconometric Modelling for Policy Evaluation and Design," NBER Technical Working Papers 0013, National Bureau of Economic Research, Inc.
    6. Langley, Suchada Vichitakul, 1982. "The formation of price expectations: a case study of the soybean market," ISU General Staff Papers 198201010800009358, Iowa State University, Department of Economics.
    7. Nerlove, Marc & Fornari, Ilaria, 1998. "Quasi-rational expectations, an alternative to fully rational expectations: An application to US beef cattle supply," Journal of Econometrics, Elsevier, vol. 83(1-2), pages 129-161.
    8. Tsai, Grace Yueh-Hsiang, 1989. "A dynamic model of the U.S. cotton market with rational expectations," ISU General Staff Papers 1989010108000012168, Iowa State University, Department of Economics.
    9. John B. Taylor, 1983. "Rational Expectations Models in Macroeconomics," NBER Working Papers 1224, National Bureau of Economic Research, Inc.
    10. Lawrence J. Christiano, 1980. "The term structure of interest rates and the aliasing identification problem," Working Papers 165, Federal Reserve Bank of Minneapolis.
    11. Broze, Laurence & Gourieroux Christian & Szafarz A, 1986. "Reduction and identification of simultaneous equations models with rational expectations," CEPREMAP Working Papers (Couverture Orange) 8601, CEPREMAP.
    12. Zadrozny, Peter A., 2022. "Linear identification of linear rational-expectations models by exogenous variables reconciles Lucas and Sims," CFS Working Paper Series 682, Center for Financial Studies (CFS).
    13. Walker, Todd B., 2007. "How equilibrium prices reveal information in a time series model with disparately informed, competitive traders," Journal of Economic Theory, Elsevier, vol. 137(1), pages 512-537, November.
    14. Laurence Broze & Ariane Szafarz, 1985. "Solutions des modèles linéaires à anticipations rationnelles," ULB Institutional Repository 2013/679, ULB -- Universite Libre de Bruxelles.
    15. Della Corte, Pasquale & Sarno, Lucio & Thornton, Daniel L., 2008. "The expectation hypothesis of the term structure of very short-term rates: Statistical tests and economic value," Journal of Financial Economics, Elsevier, vol. 89(1), pages 158-174, July.
    16. Filippo Altissimo & Stefano Siviero & Daniele Terlizzese, 2002. "How Deep are the Deep Parameters?," Annals of Economics and Statistics, GENES, issue 67-68, pages 207-226.
    17. Miranda, Mario J & Glauber, Joseph W, 1993. "Estimation of Dynamic Nonlinear Rational Expectations Models of Primary Commodity Markets with Private and Government Stockholding," The Review of Economics and Statistics, MIT Press, vol. 75(3), pages 463-470, August.
    18. Hansen, Lars Peter & Sargent, Thomas J., 1981. "A note on Wiener-Kolmogorov prediction formulas for rational expectations models," Economics Letters, Elsevier, vol. 8(3), pages 255-260.
    19. Francesco Sergi, 2020. "The Standard Narrative about DSGE Models in Central Banks’ Technical Reports," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 27(2), pages 163-193, March.
    20. James J. Heckman, 2000. "Causal Parameters and Policy Analysis in Economics: A Twentieth Century Retrospective," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 45-97.

    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:nbr:nberte:0005. 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://edirc.repec.org/data/nberrus.html .

    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.