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Endogenous debt constraints in collateralized economies with default penalties

  • Martins-da-Rocha, Victor Filipe
  • Vailakis, Y.

In infinite horizon financial markets economies, competitive equilibria fail to exist if one does not impose restrictions on agents' trades that rule out Ponzi schemes. When there is limited commitment and collateral repossession is the unique default punishment, Araujo, Páscoa and Torres-Martínez (2002) proved that Ponzi schemes are ruled out without imposing any exogenous/endogenous debt constraints on agents' trades. Recently Páscoa and Seghir (2009) have shown that this positive result is not robust to the presence of additional default punishments. They provide several examples showing that, in the absence of debt constraints, harsh default penalties may induce agents to run Ponzi schemes that jeopardize equilibrium existence. The objective of this paper is to close a theoretical gap in the literature by identifying endogenous borrowing constraints that rule out Ponzi schemes and ensure 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, Páscoa and Torres-Martínez (2002), Kubler and Schmedders (2003) and Páscoa and Seghir (2009) the concept of actions with finite equivalent payoffs. We show that, independently 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. An interesting feature of our debt constraints is that they give rise to budget sets that coincide with the standard budget sets of economies having a collateral structure but no penalties (as defined in Araujo, Páscoa and Torres-Martínez (2002)). This illustrates the hidden relation between finitely effective debt constraints and collateral requirements.

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Paper provided by FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil) in its series Economics Working Papers (Ensaios Economicos da EPGE) with number 719.

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Date of creation: 30 Jun 2011
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Handle: RePEc:fgv:epgewp:719
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  1. P. Dubey & J. Geanakoplos & M . Shubik, 2001. "Default and Punishment in General Equilibrium," Department of Economics Working Papers 01-07, Stony Brook University, Department of Economics.
  2. Magill, M. & Quinzii, M., 1993. "Infinite Horizon Incomplete Markets," Papers 9320, Southern California - Department of Economics.
  3. Jeffrey M. Lacker, 1998. "Collateralized debt as the optimal contract," Working Paper 98-04, Federal Reserve Bank of Richmond.
  4. Timothy J. Kehoe & David K. Levine, 1992. "Debt constrained asset markets," Working Papers 445, Federal Reserve Bank of Minneapolis.
  5. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-98, May.
  6. Felix Kubler & Karl Schmedders, 2001. "Stationary Equilibria in Asset-Pricing Models with Incomplete Markets and Collateral," Discussion Papers 1319, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  7. Martins-da-Rocha, Victor-Filipe & Vailakis, Yiannis, 2012. "Harsh default penalties lead to Ponzi schemes: A counterexample," Economics Papers from University Paris Dauphine 123456789/8093, Paris Dauphine University.
  8. David K. Levine & William R. Zame, 2002. "Does Market Incompleteness Matter?," Econometrica, Econometric Society, vol. 70(5), pages 1805-1839, September.
  9. David K. Levine & William R. Zame, 1993. "Debt Constraints and Equilibrium in Infinite Horizon Economies with Incomplete Markets," UCLA Economics Working Papers 703, UCLA Department of Economics.
  10. 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.
  11. Alberto Bisin & Piero Gottardi, 1998. "Competitive Equilibria with Asymmetric Information," Levine's Working Paper Archive 2062, David K. Levine.
  12. John Geanakoplos & Ana Fostel, 2008. "Leverage Cycles and the Anxious Economy," American Economic Review, American Economic Association, vol. 98(4), pages 1211-44, September.
  13. Igor Livshits & James MacGee & Michele Tertilt, 2003. "Consumer bankruptcy: a fresh start," Working Papers 617, Federal Reserve Bank of Minneapolis.
  14. John Moore & Nobuhiro Kiyotaki, . "Credit Cycles," Discussion Papers 1995-5, Edinburgh School of Economics, University of Edinburgh.
  15. Páscoa, Mário Rui & Seghir, Abdelkrim, 2009. "Harsh default penalties lead to Ponzi schemes," Games and Economic Behavior, Elsevier, vol. 65(1), pages 270-286, January.
  16. A. Araujo & M. R. Páscoa & P. K. Monteiro, 1997. "Incomplete markets, continuum of states and default," Economic Theory, Springer, vol. 11(1), pages 205-213.
  17. Caballero, Ricardo J. & Krishnamurthy, Arvind, 2001. "International and domestic collateral constraints in a model of emerging market crises," Journal of Monetary Economics, Elsevier, vol. 48(3), pages 513-548, December.
  18. Dubey, Pradeep & Shubik, Martin, 1979. "Bankruptcy and optimality in a closed trading mass economy modelled as a non-cooperative game," Journal of Mathematical Economics, Elsevier, vol. 6(2), pages 115-134, July.
  19. Tano Santos & Joséa. Scheinkman, 2001. "Competition Among Exchanges," The Quarterly Journal of Economics, MIT Press, vol. 116(3), pages 1027-1061, August.
  20. Kristopher Gerardi & Adam Hale Shapiro & Paul S. Willen, 2009. "Decomposing the foreclosure crisis: House price depreciation versus bad underwriting," FRB Atlanta Working Paper No. 2009-25, Federal Reserve Bank of Atlanta.
  21. Zhang, H.H., 1995. "Endogenous Borrowing Constraints with Incomplete Markets," GSIA Working Papers 1995-25, Carnegie Mellon University, Tepper School of Business.
  22. William R. Zame, 1990. "Efficiency and the Role of Default When Security Markets are Incomplete," UCLA Economics Working Papers 585, UCLA Department of Economics.
  23. Kristopher Gerardi & Andreas Lehnert & Shane M. Sherlund & Paul Willen, 2008. "Making Sense of the Subprime Crisis," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 39(2 (Fall)), pages 69-159.
  24. Jeffrey Lacker, 2001. "Online Appendix to Collateralized Debt as the Optimal Contract," Technical Appendices lacker01, Review of Economic Dynamics.
  25. Satyajit Chatterjee & Dean Corbae & Makoto Nakajima & Jose-Victor Rios-Rull, 2002. "A Quantitative Theory of Unsecured Consumer Credit with Risk of Default," Centro de Alti­simos Estudios Ri­os Pe©rez(CAERP) 2, Centro de Altisimos Estudios Rios Perez (CAERP).
  26. Kristopher Gerardi & Adam Hale Shapiro & Paul S. Willen, 2007. "Subprime outcomes: risky mortgages, homeownership experiences, and foreclosures," Working Papers 07-15, Federal Reserve Bank of Boston.
  27. Simon G. Gilchrist & Ben Bernanke & Mark Gertler, 1994. "The financial accelerator and the flight to quality," Finance and Economics Discussion Series 94-18, Board of Governors of the Federal Reserve System (U.S.).
  28. Aloisio Araujo & M�rio Rui P�scoa & Juan Pablo Torres-Mart�nez, 2002. "Collateral Avoids Ponzi Schemes in Incomplete Markets," Econometrica, Econometric Society, vol. 70(4), pages 1613-1638, July.
  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. 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.
  31. Diamond, Douglas W, 1984. "Financial Intermediation and Delegated Monitoring," Review of Economic Studies, Wiley Blackwell, vol. 51(3), pages 393-414, July.
  32. 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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