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Linear Approximation Methods and International Real Business Cycles with Incomplete Asset Markets

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  • Marc-Andre Letendre

    (McMaster University)

Abstract

Most quantitative studies of international real business cycle (IRBC) models require the use of approximate solution methods. We solve an IRBC model with incomplete asset markets using King, Plosser and Rebelo's (1988) linear approximation method. We quantify the additional approximation error brought about by the existence of a unit root in the linear dynamic system and demonstrate that the symmetry of the model helps reduce this approximation error. A central finding is that the parametrizations which address the cross-country consumption correlation puzzle are precisely those where solutions may be least accurate.

Suggested Citation

  • 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.
  • Handle: RePEc:ecm:wc2000:1539
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    References listed on IDEAS

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    1. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-240, April.
    2. Baxter, Marianne & Crucini, Mario J, 1995. "Business Cycles and the Asset Structure of Foreign Trade," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(4), pages 821-854, November.
    3. Backus, David K & Kehoe, Patrick J & Kydland, Finn E, 1992. "International Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 745-775, August.
    4. Telmer, Chris I, 1993. " Asset-Pricing Puzzles and Incomplete Markets," Journal of Finance, American Finance Association, vol. 48(5), pages 1803-1832, December.
    5. Arvanitis, Athanasios V & Mikkola, Anne, 1996. "Asset-Market Structure and International Trade Dynamics," American Economic Review, American Economic Association, vol. 86(2), pages 67-70, May.
    6. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : II. New directions," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 309-341.
    7. Kollmann, Robert, 1996. "Incomplete asset markets and the cross-country consumption correlation puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 20(5), pages 945-961, May.
    8. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
    9. Amable, Bruno & Henry, Jerome & Lordon, Frederic & Topol, Richard, 1994. "Strong hysteresis versus zero-root dynamics," Economics Letters, Elsevier, vol. 44(1-2), pages 43-47.
    10. David Backus & Patrick J. Kehoe & Finn E. Kydland, 1993. "International Business Cycles: Theory and Evidence," NBER Working Papers 4493, National Bureau of Economic Research, Inc.
    11. Francesco Giavazzi & Charles Wyplosz, 1985. "The Zero Root Problem: A Note on the Dynamic Determination of the Stationary Equilibrium in Linear Models," Review of Economic Studies, Oxford University Press, vol. 52(2), pages 353-357.
    12. Timothy J. Kehoe & David K. Levine, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Oxford University Press, vol. 60(4), pages 865-888.
    13. 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.
    14. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    15. Ravn, Morten O., 1997. "International business cycles in theory and in practice," Journal of International Money and Finance, Elsevier, vol. 16(2), pages 255-283, April.
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    Cited by:

    1. Davies, Ronald B. & Shea, Paul, 2010. "Adaptive learning with a unit root: An application to the current account," Journal of Economic Dynamics and Control, Elsevier, vol. 34(2), pages 179-190, February.

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