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Limited-dependent rational expectations models with jumps

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  • M. Hashem Pesaran
  • Francisco J. Ruge-Mucia

Abstract

This paper develops a Limited-Dependent Rational Expectations (LD-RE) model where the bounds can be fixed for an extended period, but are subject to occasional jumps. In this case, the behavior of the endogenous variable is affected by the agent's expectations about both the occurrence and the size of the jump. The RE solution for the one-sided and two-sided band are derived and shown to encompass the cases of perfectly predictable and stochastically varying bounds examined by earlier literature. We demonstrate that the solution for the one-sided band exists and is unique when the coefficient of the expectational variable is less than one. In the case of a two-sided band, the RE solution exists for all the parameter values and is unique if the coefficient of the expectational variable is less than or equal to one. These results hold even when the jump probability is stochastically varying and the error terms are conditionally heteroskedastic. As an illustration, we estimate a model of exchange rate determination in a target zone using data for the Franc/Mark exchange rate. Empirical results provide support for the non-linear model with time-varying realignment probability and indicate that the agents correctly anticipated most of the observed changes in the central parity.

Suggested Citation

  • M. Hashem Pesaran & Francisco J. Ruge-Mucia, 1996. "Limited-dependent rational expectations models with jumps," Discussion Paper / Institute for Empirical Macroeconomics 111, Federal Reserve Bank of Minneapolis.
  • Handle: RePEc:fip:fedmem:111
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    References listed on IDEAS

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    Cited by:

    1. Francisco J. Ruge-Murcia, 2000. "Uncovering financial markets' beliefs about inflation targets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(5), pages 483-512.
    2. Hashem Pesaran, M. & Ruge-Murcia, Francisco J., 1996. "Limited-dependent rational expectations models with stochastic thresholds," Economics Letters, Elsevier, vol. 51(3), pages 267-276, June.
    3. M. Isabel Campos & Zenón Jiménez-Ridruejo, 2000. "Were The Peseta Exchange Rate Crises Forecastable During Target Zone Period?," Working Papers 00-07, Asociación Española de Economía y Finanzas Internacionales.
    4. RUGE-MURCIA, Francisco J., 2002. "Some Implications of the Zero Lower Bound on Interest Rates for the Term Structure and Monetary Policy," Cahiers de recherche 2002-06, Universite de Montreal, Departement de sciences economiques.

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