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Adaptive Learning with a Unit Root: An Application to the Current Account

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Author Info

  • Ronald B. Davies

    ()
    (University of Oregon Economics Department)

  • Paul Shea

    ()
    (University of Oregon Economics Department)

Abstract

This paper develops a simple two-country, two-good model of international trade and borrowing that suppresses all previous sources of current account dynamics. Under rational expectations, international debt follows a random walk. Under adaptive learning however, international debt behaves like either a stationary or an explosive process. Whether debt converges or diverges depends on the specific learning algorithm that agents employ. When debt diverges, a financial crisis eventually occurs to ensure that the modelÂ’s transversality condition holds. Such a financial crisis causes an abrupt decrease in the debtor countryÂ’s consumption and utility.

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File URL: http://economics.uoregon.edu/papers/UO-2006-15_Davies_Unit.pdf
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Bibliographic Info

Paper provided by University of Oregon Economics Department in its series University of Oregon Economics Department Working Papers with number 2006-15.

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Length: 40
Date of creation: 10 Apr 2003
Date of revision: 10 Jun 2003
Handle: RePEc:ore:uoecwp:2006-15

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Keywords: current account; international debt movements; expectations; adaptive learning.;

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  1. Marc-Andre Letendre, 2000. "Linear Approximation Methods and International Real Business Cycles with Incomplete Asset Markets," Econometric Society World Congress 2000 Contributed Papers 1539, Econometric Society.
  2. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  3. Schmitt-Grohe, Stephanie & Uribe, Martin, 2003. "Closing small open economy models," Journal of International Economics, Elsevier, vol. 61(1), pages 163-185, October.
  4. Kenneth Kasa, 2000. "Learning, large deviations, and recurrent currency crises," Working Paper Series 2000-10, Federal Reserve Bank of San Francisco.
  5. Evans, G.W. & Honkapohja, S., 1998. "Stochastic Gradient Learning in the Cobweb Model," University of Helsinki, Department of Economics 438, Department of Economics.
  6. Jagdish Bhagwati & Arvind Panagariya & T. N. Srinivasan, 1998. "Lectures on International Trade, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262522470.
  7. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476.
  8. Harold L. Cole & Maurice Obstfeld, 1991. "Commodity Trade and International Risk Sharing: How Much Do Financial Markets Matter?," NBER Working Papers 3027, National Bureau of Economic Research, Inc.
  9. Preston, Bruce, 2005. "Learning about Monetary Policy Rules when Long-Horizon Expectations Matter," MPRA Paper 830, University Library of Munich, Germany.
  10. Bhagwati, Jagdish N, 1969. "Optimal Policies and Immiserizing Growth," American Economic Review, American Economic Association, vol. 59(5), pages 967-70, December.
  11. In-Koo Cho & Kenneth Kasa, 2003. "Learning Dynamics and Endogenous Currency Crises," Computing in Economics and Finance 2003 132, Society for Computational Economics.
  12. Barucci, Emilio & Landi, Leonardo, 1997. "Least mean squares learning in self-referential linear stochastic models," Economics Letters, Elsevier, vol. 57(3), pages 313-317, December.
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