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Bubbles and Self-Enforcing Debt

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  • Christian Hellwig
  • Guido Lorenzoni

Abstract

We characterize equilibria with endogenous debt constraints for a general equilibrium economy with limited commitment in which the only consequence of default is losing the ability to borrow in future periods. First, we show that equilibrium debt limits must satisfy a simple condition that allows agents to exactly roll over existing debt period by period. Second, we provide an equivalence result, whereby the resulting set of equilibrium allocations with self-enforcing private debt is equivalent to the allocations that are sustained with unbacked public debt or rational bubbles. In contrast to the classic result by Bulow and Rogoff (1989a), positive levels of debt are sustainable in our environment because the interest rate is sufficiently low to provide repayment incentives. Copyright 2009 The Econometric Society.

Suggested Citation

  • Christian Hellwig & Guido Lorenzoni, 2009. "Bubbles and Self-Enforcing Debt," Econometrica, Econometric Society, vol. 77(4), pages 1137-1164, July.
  • Handle: RePEc:ecm:emetrp:v:77:y:2009:i:4:p:1137-1164
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    1. Ventura, Jaume, 2002. "Bubbles and Capital Flows," CEPR Discussion Papers 3657, C.E.P.R. Discussion Papers.
    2. Wright, Mark L.J., 2006. "Private capital flows, capital controls, and default risk," Journal of International Economics, Elsevier, vol. 69(1), pages 120-149, June.
    3. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    4. YiLi Chien & Hanno Lustig, 2010. "The Market Price of Aggregate Risk and the Wealth Distribution," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1596-1650, April.
    5. Bulow, Jeremy & Rogoff, Kenneth, 1989. "A Constant Recontracting Model of Sovereign Debt," Journal of Political Economy, University of Chicago Press, vol. 97(1), pages 155-178, February.
    6. Wolfgang Pesendorfer, 1992. "Sovereign Debt: Forgiving and Forgetting Reconsidered," Discussion Papers 1016, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. Ricardo de O. Cavalcanti & Andres Erosa & Ted Temzelides, 1999. "Private Money and Reserve Management in a Random-Matching Model," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 929-945, October.
    8. Dirk Kreuger & Fabrizio Perri, 2002. "Does Income Inequality Lead to Consumption Inequality? Evidence and Theory," Working Papers 02-15, New York University, Leonard N. Stern School of Business, Department of Economics.
    9. Krueger, Dirk & Uhlig, Harald, 2006. "Competitive risk sharing contracts with one-sided commitment," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1661-1691, October.
    10. Kocherlakota, Narayana R., 1992. "Bubbles and constraints on debt accumulation," Journal of Economic Theory, Elsevier, vol. 57(1), pages 245-256.
    11. Brian D. Wright & Kenneth M. Kletzer, 2000. "Sovereign Debt as Intertemporal Barter," American Economic Review, American Economic Association, vol. 90(3), pages 621-639, June.
    12. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, December.
    13. Bulow, Jeremy & Rogoff, Kenneth, 1989. "Sovereign Debt: Is to Forgive to Forget?," American Economic Review, American Economic Association, vol. 79(1), pages 43-50, March.
    14. Thomas, J. P., 1992. "Sovereign debt: Ignorance can be bliss," Journal of Development Economics, Elsevier, vol. 39(2), pages 389-396, October.
    15. Karsten Jeske, 2006. "Private International Debt with Risk of Repudiation," Journal of Political Economy, University of Chicago Press, vol. 114(3), pages 576-593, June.
    16. Woodford, Michael, 1990. "Public Debt as Private Liquidity," American Economic Review, American Economic Association, vol. 80(2), pages 382-388, May.
    17. Cole, Harold L. & Kehoe, Patrick J., 1995. "The role of institutions in reputation models of sovereign debt," Journal of Monetary Economics, Elsevier, vol. 35(1), pages 45-64, February.
    18. Kletzer, Kenneth M. & Wright, Brian D., 1998. "Sovereign Debt as Intertemporal Barter," Center for International and Development Economics Research, Working Paper Series qt4qg3c42v, Center for International and Development Economics Research, Institute for Business and Economic Research, UC Berkeley.
    19. Chari V. V. & Kehoe Patrick J., 1993. "Sustainable Plans and Debt," Journal of Economic Theory, Elsevier, vol. 61(2), pages 230-261, December.
    20. John Kareken & Neil Wallace, 1981. "On the Indeterminacy of Equilibrium Exchange Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 96(2), pages 207-222.
    21. Timothy J. Kehoe & David K. Levine, 1993. "Debt-Constrained Asset Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 865-888.
    22. Jonathan Eaton & Mark Gersovitz, 1981. "Debt with Potential Repudiation: Theoretical and Empirical Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(2), pages 289-309.
    23. Manuel Amador, 2004. "A Political Model Sovereign Debt Repayment," 2004 Meeting Papers 762, Society for Economic Dynamics.
    24. Chari, V V & Kehoe, Patrick J, 1990. "Sustainable Plans," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 783-802, August.
    25. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    26. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
    27. Dirk Krueger & Fabrizio Perri, 2006. "Does Income Inequality Lead to Consumption Inequality? Evidence and Theory -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 163-193.
    28. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
    29. Cole, Harold L & Kehoe, Patrick J, 1998. "Models of Sovereign Debt: Partial versus General Reputations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(1), pages 55-70, February.
    30. Grossman, Herschel I. & Han, Taejoon, 1999. "Sovereign debt and consumption smoothing," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 149-158, August.
    31. Faruk Gul & Wolfgang Pesendorfer, 2004. "Self-Control and the Theory of Consumption," Econometrica, Econometric Society, vol. 72(1), pages 119-158, January.
    32. Pierre-Olivier Gourinchas & Hélène Rey, 2007. "From World Banker to World Venture Capitalist: US External Adjustment and the Exorbitant Privilege," NBER Chapters, in: G7 Current Account Imbalances: Sustainability and Adjustment, pages 11-66, National Bureau of Economic Research, Inc.
    33. Narayana R. Kocherlakota, 1996. "Implications of Efficient Risk Sharing without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(4), pages 595-609.
    34. Scheinkman, Jose A & Weiss, Laurence, 1986. "Borrowing Constraints and Aggregate Economic Activity," Econometrica, Econometric Society, vol. 54(1), pages 23-45, January.
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    More about this item

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • F34 - International Economics - - International Finance - - - International Lending and Debt Problems
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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