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

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  • 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
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    References listed on IDEAS

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    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. 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.
    4. 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.
    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. 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.
    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.
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    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.

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