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Endogenous debt constraints in collateralized economies with default penalties

Listed author(s):
  • Martins-da-Rocha, V. Filipe
  • Vailakis, Yiannis

The objective of the paper is to propose endogenous debt constraints that rule out Ponzi schemes and ensure the existence of equilibria in a model with limited commitment and (possible) default. We appropriately modify the definition of finitely effective debt constraints, introduced by Levine and Zame (1996) (see also Levine and Zame (2002)), to encompass models with limited commitment, default penalties and collateral. Along this line, we introduce in the setting of Araujo et al. (2002), Kubler and Schmedders (2003) and Páscoa and Seghir (2009) the concept of actions with finite equivalent payoffs. We show that, independent of the level of default penalties, restricting plans to have finite equivalent payoffs rules out Ponzi schemes and guarantees the existence of an equilibrium that is compatible with the minimal ability to borrow and lend that we expect in our model.

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File URL: http://www.sciencedirect.com/science/article/pii/S0304406811000875
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Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 48 (2012)
Issue (Month): 1 ()
Pages: 1-13

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Handle: RePEc:eee:mateco:v:48:y:2012:i:1:p:1-13
DOI: 10.1016/j.jmateco.2011.09.006
Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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  4. Magill, M. & Quinzii, M., 1993. "Infinite Horizon Incomplete Markets," Papers 9320, Southern California - Department of Economics.
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  16. Zhang, Harold H, 1997. " Endogenous Borrowing Constraints with Incomplete Markets," Journal of Finance, American Finance Association, vol. 52(5), pages 2187-2209, December.
  17. Satyajit Chatterjee & Dean Corbae & Makoto Nakajima & José-Víctor Ríos-Rull, 2007. "A Quantitative Theory of Unsecured Consumer Credit with Risk of Default," Econometrica, Econometric Society, vol. 75(6), pages 1525-1589, November.
  18. William R. Zame, 1990. "Efficiency and the Role of Default When Security Markets are Incomplete," UCLA Economics Working Papers 585, UCLA Department of Economics.
  19. Timothy J Kehoe & David K Levine, 1993. "Debt Constrained Asset Markets," Levine's Working Paper Archive 1276, David K. Levine.
  20. Douglas W. Diamond, 1984. "Financial Intermediation and Delegated Monitoring," Review of Economic Studies, Oxford University Press, vol. 51(3), pages 393-414.
  21. Kristopher S. Gerardi & Adam Hale Shapiro & Paul S. Willen, 2009. "Decomposing the foreclosure crisis: House price depreciation versus bad underwriting," FRB Atlanta Working Paper 2009-25, Federal Reserve Bank of Atlanta.
  22. Rea, Samuel A, Jr, 1984. "Arm-breaking, Consumer Credit and Personal Bankruptcy," Economic Inquiry, Western Economic Association International, vol. 22(2), pages 188-208, April.
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  24. John Geanakoplos & Ana Fostel, 2008. "Leverage Cycles and the Anxious Economy," American Economic Review, American Economic Association, vol. 98(4), pages 1211-1244, September.
  25. Victor Filipe Martins da Rocha & Yiannis Vailakis, 2012. "Harsh default penalties lead to Ponzi schemes: A counterexample," Post-Print hal-00664552, HAL.
  26. 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.
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  28. Alberto Bisin & Piero Gottardi, 1998. "Competitive Equilibria with Asymmetric Information," Levine's Working Paper Archive 2062, David K. Levine.
  29. Aloisio Araujo & Alvaro Sandroni, 1999. "On the Convergence to Homogeneous Expectations when Markets Are Complete," Econometrica, Econometric Society, vol. 67(3), pages 663-672, May.
  30. Felix Kubler & Karl Schmedders, 2003. "Stationary Equilibria in Asset-Pricing Models with Incomplete Markets and Collateral," Econometrica, Econometric Society, vol. 71(6), pages 1767-1793, November.
  31. Hernandez D., Alejandro & Santos, Manuel S., 1996. "Competitive Equilibria for Infinite-Horizon Economies with Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 102-130, October.
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