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Limited-dependent rational expectations models with jumps

Author

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

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-Murcia, 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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    1. Rose, Andrew K. & Svensson, Lars E. O., 1994. "European exchange rate credibility before the fall," European Economic Review, Elsevier, vol. 38(6), pages 1185-1216, June.
    2. Pesaran, M Hashem & Samiei, Hossein, 1992. "An Analysis of the Determination of Deutsche Mark/French Franc Exchange Rate in a Discrete-Time Target-Zone Model," Economic Journal, Royal Economic Society, vol. 102(411), pages 388-401, March.
    3. Miller, Marcus & Weller, Paul, 1991. "Exchange Rate Bands with Price Inertia," Economic Journal, Royal Economic Society, vol. 101(409), pages 1380-1399, November.
    4. Engle, Robert F. & Kroner, Kenneth F., 1995. "Multivariate Simultaneous Generalized ARCH," Econometric Theory, Cambridge University Press, vol. 11(01), pages 122-150, February.
    5. 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.
    6. Miller, Marcus & Weller, Paul, 1990. "Exchange Rate Bands with Price Inertia," Economic Research Papers 268371, University of Warwick - Department of Economics.
    7. Lee, Lung-fei, 1994. "Rational expectations in limited dependent variable models," Economics Letters, Elsevier, vol. 46(2), pages 97-104, October.
    8. Miller, M. & Weller, P., 1988. "Exchange Rate Bands And Realignments In A Stationary Stochastic Setting," The Warwick Economics Research Paper Series (TWERPS) 317, University of Warwick, Department of Economics.
    9. Svensson, Lars E. O., 1991. "The term structure of interest rate differentials in a target zone : Theory and Swedish data," Journal of Monetary Economics, Elsevier, vol. 28(1), pages 87-116, August.
    10. Pesaran, M. Hashem & Samiei, Hossein, 1995. "Limited-dependent rational expectations models with future expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 19(8), pages 1325-1353, November.
    11. Giuseppe Bertola & Lars E. O. Svensson, 1993. "Stochastic Devaluation Risk and the Empirical Fit of Target-Zone Models," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 689-712.
    12. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-1176, December.
    13. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    14. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
    15. Donald, Stephen G. & Maddala, G. S., 1992. "A note on the estimation of limited dependent variable models under rational expectations," Economics Letters, Elsevier, vol. 38(1), pages 17-23, January.
    16. Balduzzi, Pierluigi & Bertola, Giuseppe & Foresi, Silverio, 1997. "A model of target changes and the term structure of interest rates," Journal of Monetary Economics, Elsevier, vol. 39(2), pages 223-249, July.
    17. Paul R. Krugman, 1991. "Target Zones and Exchange Rate Dynamics," The Quarterly Journal of Economics, Oxford University Press, vol. 106(3), pages 669-682.
    18. Kees G. Koedijk & Philip A. Stork & Casper G. De Vries, 1998. "An EMS target zone model in discrete time," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(1), pages 31-48.
    19. Pesaran, M. Hashem & Samiei, Hossein, 1992. "Estimating limited-dependent rational expectations models with an application to exchange rate determination in a target zone," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 141-163.
    20. Rose, Andrew K., 1993. "Sterling's ERM credibility : Did the dog bark in the night?," Economics Letters, Elsevier, vol. 41(4), pages 419-427.
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    Citations

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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. 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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