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

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  • 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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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. Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Closing Small Open Economy Models," NBER Working Papers 9270, National Bureau of Economic Research, Inc.
  2. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476, December.
  3. 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.
  4. Bruce Preston, 2003. "Learning about monetary policy rules when long-horizon expectations matter," Working Paper 2003-18, Federal Reserve Bank of Atlanta.
  5. Kenneth Kasa, 2000. "Learning, large deviations, and recurrent currency crises," Working Paper Series 2000-10, Federal Reserve Bank of San Francisco.
  6. Cho, In-Koo & Kasa, Kenneth, 2008. "Learning Dynamics And Endogenous Currency Crises," Macroeconomic Dynamics, Cambridge University Press, vol. 12(02), pages 257-285, April.
  7. Bhagwati, Jagdish N, 1969. "Optimal Policies and Immiserizing Growth," American Economic Review, American Economic Association, vol. 59(5), pages 967-70, December.
  8. 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, December.
  9. Cole, Harold L. & Obstfeld, Maurice, 1991. "Commodity trade and international risk sharing : How much do financial markets matter?," Journal of Monetary Economics, Elsevier, vol. 28(1), pages 3-24, August.
  10. Dotsey, Michael & Mao, Ching Sheng, 1992. "How well do linear approximation methods work? : The production tax case," Journal of Monetary Economics, Elsevier, vol. 29(1), pages 25-58, February.
  11. 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.
  12. Evans, George W. & Honkapohja, S., 1998. "Stochastic gradient learning in the cobweb model," Economics Letters, Elsevier, vol. 61(3), pages 333-337, December.
  13. 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.
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