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The Dynamics of Currency Crises---Results from Intertemporal Optimization and Viscosity Solutions

  • Christian Bauer
  • Philip Ernstberger
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    We apply an infinite horizon intertemporal optimization model to a simple speculative attack framework. Thereby, the central bank faces a one control two-state variables optimization problem with endogenuous exit. By setting the interest rate the central bank can stimulate the economy or fend off speculators. We show that two focal points emerge. Depending on the time preference and the state, cycles can improve utility. A regime change is associated with costs and can be forced by the state of the economy or induced by choice. In the latter case the costs for defending outweigh the costs of an immediate opt-out. During the existence of the regime the highest growth is reached through convergence to a no stress steady state, but is only optimal for a central bank with low time preference. Therefore, we propose to take measures assuring a lower time preference like independence, long-term mandates, and long-term policy goals.

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    File URL: http://www.uni-trier.de/fileadmin/fb4/prof/VWL/EWF/Research_Papers/2014-06.pdf
    File Function: First version, 2014
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    Paper provided by University of Trier, Department of Economics in its series Research Papers in Economics with number 2014-06.

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    Length: 51 pages
    Date of creation: 2014
    Date of revision:
    Handle: RePEc:trr:wpaper:201406
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    Web page: http://www.uni-trier.de/index.php?id=2118
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    1. Frank Heinemann & Rosemarie Nagel & Peter Ockenfels, 2004. "The Theory of Global Games on Test: Experimental Analysis of Coordination Games with Public and Private Information," Econometrica, Econometric Society, vol. 72(5), pages 1583-1599, 09.
    2. George-Marios Angeletos & Christian Hellwig & Alessandro Pavan, 2006. "Signaling in a Global Game: Coordination and Policy Traps," Journal of Political Economy, University of Chicago Press, vol. 114(3), pages 452-484, June.
    3. George-Marios Angeletos & Christian Hellwig & Alessandro Pavan, 2007. "Dynamic Global Games of Regime Change: Learning, Multiplicity, and the Timing of Attacks," Econometrica, Econometric Society, vol. 75(3), pages 711-756, 05.
    4. Maurice Obstfeld, 1995. "Models of Currency Crises with Self-Fulfilling Features," NBER Working Papers 5285, National Bureau of Economic Research, Inc.
    5. Guimaraes, Bernardo, 2006. "Dynamics of currency crises with asset market frictions," Journal of International Economics, Elsevier, vol. 68(1), pages 141-158, January.
    6. Morris, Stephen & Shin, Hyun Song, 1997. "Unique Equilibrium in a Model of Self-fulfilling Currency Attacks," CEPR Discussion Papers 1687, C.E.P.R. Discussion Papers.
    7. Christian Bauer & Bernhard Herz, 2009. "The Dynamics of Financial Crises and the Risk to Defend the Exchange Rate," Research Papers in Economics 2009-03, University of Trier, Department of Economics.
    8. Flood, Robert P. & Garber, Peter M., 1984. "Collapsing exchange-rate regimes : Some linear examples," Journal of International Economics, Elsevier, vol. 17(1-2), pages 1-13, August.
    9. Banerjee, Abhijit V, 1992. "A Simple Model of Herd Behavior," The Quarterly Journal of Economics, MIT Press, vol. 107(3), pages 797-817, August.
    10. Christophe Chamley, 2003. "Dynamic Speculative Attacks," American Economic Review, American Economic Association, vol. 93(3), pages 603-621, June.
    11. Krugman, Paul, 1979. "A Model of Balance-of-Payments Crises," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 11(3), pages 311-25, August.
    12. Daniëls, Tijmen R. & Jager, Henk & Klaassen, Franc, 2011. "Currency crises with the threat of an interest rate defence," Journal of International Economics, Elsevier, vol. 85(1), pages 14-24, September.
    13. Sushil Bikhchandani & David Hirshleifer & Ivo Welch, 2010. "A theory of Fads, Fashion, Custom and cultural change as informational Cascades," Levine's Working Paper Archive 1193, David K. Levine.
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