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Learning, Large Deviations, And Recurrent Currency Crises

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Kenneth Kasa

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Abstract

This article studies a version of Obstfeld's ("Journal of International Economics" 43 (1997), 61-77) "escape clause" model. The model is calibrated to produce three rational expectations equilibria. Two of these equilibria are E-stable and one is unstable. Dynamics are introduced by assuming that agents must learn about the government's decision rule. It is assumed they do this using a stochastic approximation algorithm. It turns out that as a certain parameter describing the sensitivity of beliefs to new information gets small, the algorithm converges to a small noise diffusion process. The dynamics of exchange rate changes are then characterized using large deviation techniques from Freidlin and Wentzell ("Random Perturbations of Dynamical Systems", Second Edition, Berlin: Springer-Verlag, 1998). These methods describe the sense in which the limiting distribution of exchange rate changes is approximated by a two-state Markov-Switching process, where the two states correspond to the two E-stable equilibria. The model is calibrated to the exchange rate histories of Argentina, Brazil, and Mexico. Currency crises in these countries resemble the predicted "escape routes" of the model. A key feature of these escape routes is that expectations of a devaluation erupt suddenly, without large contemporaneous shocks. This is consistent with evidence showing that crises are often poorly anticipated by financial markets. Copyright 2004 by the Economics Department Of The University Of Pennsylvania And Osaka University Institute Of Social And Economic Research Association.

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Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 45 (2004)
Issue (Month): 1 (02)
Pages: 141-173
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Handle: RePEc:ier:iecrev:v:45:y:2004:i:1:p:141-173

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  1. Noah Williams, 2003. "Small Noise Asymptotics for a Stochastic Growth Model," NBER Working Papers 10194, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. Wiliam Branch & George W. Evans, 2005. "Model Uncertainty and Endogenous Volatility," University of Oregon Economics Department Working Papers 2005-21, University of Oregon Economics Department, revised 26 Oct 2006. [Downloadable!]
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  3. Ellison, Martin & Graham, Liam & Vilmunen, Jouko, 2004. "Strong Contagion with Weak Spillovers," CEPR Discussion Papers 4762, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  4. Wiliam Branch & George W. Evans, 2005. "A Simple Recursive Forecasting Model," University of Oregon Economics Department Working Papers 2005-3, University of Oregon Economics Department, revised 01 Feb 2005. [Downloadable!]
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  5. Thomas Sargent & Noah Williams & Tao Zha, 2006. "The conquest of South American inflation," Working Paper 2006-20, Federal Reserve Bank of Atlanta. [Downloadable!]
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  6. Dmitri Kolyuzhnov & Anna Bogomolova, 2004. "Escape Dynamics: A Continuous Time Approximation," Econometric Society 2004 Far Eastern Meetings 557, Econometric Society. [Downloadable!]
  7. Dmitri Kolyuzhnov & Anna Bogomolova, 2004. "Escape Dynamics: A Continuous Time Approximation," Computing in Economics and Finance 2004 190, Society for Computational Economics. [Downloadable!]
  8. Dmitri Kolyuzhnov & Anna Bogomolova, 2004. "Escape Dynamics: A Continuous Time Approximation," Econometric Society 2004 Latin American Meetings 27, Econometric Society. [Downloadable!]
  9. Robert Tetlow & Peter von zur Muehlen, 2004. "Avoiding Nash Inflation: Bayesian and Robus Responses to Model Uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(4), pages 869-899, October. [Downloadable!] (restricted)
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  10. George W. Evans & Avik Chakraborty, 2006. "Can Perpetual Learning Explain the Forward Premium Puzzle?," University of Oregon Economics Department Working Papers 2006-8, University of Oregon Economics Department, revised 20 Aug 2006. [Downloadable!]
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