IDEAS home Printed from https://ideas.repec.org/p/fip/fedmwp/280.html
   My bibliography  Save this paper

Identification and estimation of a model of hyperinflation with a continuum of \"sunspot\" equilibrium

Author

Listed:
  • Thomas J. Sargent
  • Neil Wallace

Abstract

This paper constructs a model with two structural equations: the Government budget constraint and a linear version of Cagan?s portfolio balance equation. The model contains a continuum of equilibria with ?sunspot equilibria.? Closed forms for the solutions are found. Even though there is a continuum of equilibria, the model is overidentified econometrically, so that the model restricts time series data on price levels and currency stocks. We describe how the free parameters of the model can be estimated, including some parameters that serve to index particular members of the continuum of equilibria. The sunspot equilibria hold out some promise of explaining anomalies in the observed behavior of inflation and real balances during hyperinflations.

Suggested Citation

  • Thomas J. Sargent & Neil Wallace, 1985. "Identification and estimation of a model of hyperinflation with a continuum of \"sunspot\" equilibrium," Working Papers 280, Federal Reserve Bank of Minneapolis.
    • Handle: RePEc:fip:fedmwp:280
    as

    Download full text from publisher

    File URL: http://www.minneapolisfed.org/research/common/pub_detail.cfm?pb_autonum_id=551
    Download Restriction: no
    File URL: http://www.minneapolisfed.org/research/WP/WP280.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Thomas J. Sargent & Neil Wallace, 1984. "Some Unpleasant Monetarist Arithmetic," Palgrave Macmillan Books, in: Brian Griffiths & Geoffrey E. Wood (ed.), Monetarism in the United Kingdom, pages 15-41, Palgrave Macmillan.
    3. Saracoglu, Rusdu & Sargent, Thomas J., 1978. "Seasonality and portfolio balance under rational expectations," Journal of Monetary Economics, Elsevier, vol. 4(3), pages 435-458, August.
    4. Sargent, Thomas, 1976. "Econometric exogeneity and alternative estimators of portfolio balance schedules for hyperinflations : A note," Journal of Monetary Economics, Elsevier, vol. 2(4), pages 511-521, November.
    5. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-438, July.
    6. Salemi, Michael K & Sargent, Thomas J, 1979. "The Demand for Money during Hyperinflation under Rational Expectations: II," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(3), pages 741-758, October.
    7. 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.
    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. Aloisio Araujo & Wilfredo L. Maldonado & Diogo Pinheiro & Alberto A. Pinto & Mohammad Choubdar Soltanahmadi, 2021. "Refinement of dynamic equilibrium using small random perturbations," International Journal of Economic Theory, The International Society for Economic Theory, vol. 17(3), pages 258-283, September.

    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. Committee, Nobel Prize, 2011. "Thomas J. Sargent and Christopher A. Sims: Empirical Macroeconomics," Nobel Prize in Economics documents 2011-2, Nobel Prize Committee.
    2. Lars Peter Hansen & Thomas J. Sargent, 1982. "Formulating and estimating continuous time rational expectations models," Staff Report 75, Federal Reserve Bank of Minneapolis.
    3. Thomas J. Sargent, 1982. "The Ends of Four Big Inflations," NBER Chapters, in: Inflation: Causes and Effects, pages 41-98, National Bureau of Economic Research, Inc.
    4. Lawrence J. Christiano, 1980. "The term structure of interest rates and the aliasing identification problem," Working Papers 165, Federal Reserve Bank of Minneapolis.
    5. McCallum, Bennett T., 1999. "Issues in the design of monetary policy rules," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 23, pages 1483-1530, Elsevier.
    6. Geweke, J. & Joel Horowitz & Pesaran, M.H., 2006. "Econometrics: A Bird’s Eye View," Cambridge Working Papers in Economics 0655, Faculty of Economics, University of Cambridge.
    7. 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.
    8. Sargent, Thomas J, 1982. "Beyond Demand and Supply Curves in Macroeconomics," American Economic Review, American Economic Association, vol. 72(2), pages 382-389, May.
    9. Willem H. Buiter, 1981. "Macroeconometric Modelling for Policy Evaluation and Design," NBER Technical Working Papers 0013, National Bureau of Economic Research, Inc.
    10. Peter A. Zadrozny, 2022. "Linear Identification of Linear Rational-Expectations Models by Exogenous Variables Reconciles Lucas and Sims," CESifo Working Paper Series 10078, CESifo.
    11. Jude Okechukwu Chukwu, 2013. "Budget Deficits, Money Growth and Price Level in Nigeria," African Development Review, African Development Bank, vol. 25(4), pages 468-477, December.
    12. Lawrence J. Christiano, 1981. "Rational expectations, hyperinflation, and the demand for money," Working Papers 163, Federal Reserve Bank of Minneapolis.
    13. Aurélien Goutsmedt & Erich Pinzon-Fuchs & Matthieu Renault & Francesco Sergi, 2015. "Criticizing the Lucas Critique: Macroeconometricians' Response to Robert Lucas," Post-Print halshs-01179114, HAL.
    14. Kim, Kun Ho, 2011. "Density forecasting through disaggregation," International Journal of Forecasting, Elsevier, vol. 27(2), pages 394-412.
    15. Fair, Ray C & Taylor, John B, 1983. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 51(4), pages 1169-1185, July.
    16. Lars Peter Hansen & Thomas J. Sargent, 1981. "Exact linear rational expectations models: specification and estimation," Staff Report 71, Federal Reserve Bank of Minneapolis.
    17. Denis Larocque & Michel Normandin, 2004. "Econometric Inference, Cyclical Fluctuations, and Superior Information," Cahiers de recherche 0434, CIRPEE.
    18. Komunjer, Ivana & Zhu, Yinchu, 2020. "Likelihood ratio testing in linear state space models: An application to dynamic stochastic general equilibrium models," Journal of Econometrics, Elsevier, vol. 218(2), pages 561-586.
    19. Robert G. King & Mark W. Watson, 1994. "The Post-War U.S. Phillips Curve: A Revisionist Econometric History," Working Papers 1994-2, Princeton University. Economics Department..
    20. 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.

    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:fip:fedmwp:280. 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: Kate Hansel (email available below). General contact details of provider: https://edirc.repec.org/data/cfrbmus.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.