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Endogenous debt constraints in collateralized economies with default penalties

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

Abstract

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 limitedcommitment 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. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-98, May.
  2. Nobuhiro Kiyotaki & John Moore, 1995. "Credit Cycles," NBER Working Papers 5083, National Bureau of Economic Research, Inc.
  3. William R. Zame, 1992. "Efficiency and the Role of Default When Security Markets are Incomplete," UCLA Economics Working Papers 673, UCLA Department of Economics.
  4. Ben Bernanke & Mark Gertler & Simon Gilchrist, 1994. "The Financial Accelerator and the Flight to Quality," NBER Working Papers 4789, National Bureau of Economic Research, Inc.
  5. 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.
  6. Magill, M. & Quinzii, M., 1993. "Infinite Horizon Incomplete Markets," Papers 9320, Southern California - Department of Economics.
  7. David K. Levine & William Zame, 2001. "Does Market Incompleteness Matter," Levine's Working Paper Archive 78, David K. Levine.
  8. Timothy J Kehoe & David K Levine, 1993. "Debt Constrained Asset Markets," Levine's Working Paper Archive 1276, David K. Levine.
  9. John Geanakoplos & Ana Fostel, 2008. "Leverage Cycles and the Anxious Economy," American Economic Review, American Economic Association, vol. 98(4), pages 1211-44, September.
  10. Páscoa, Mario Rui & Araújo, Aloísio Pessoa de & Torres-Martínez, Juan Pablo, 2001. "Collateral Avoids Ponzi Schemes in Incomplete Markets," Economics Working Papers (Ensaios Economicos da EPGE) 419, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  11. 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.
  12. 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.
  13. 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.
  14. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2001. "Default and Punishment in General Equilibrium," Cowles Foundation Discussion Papers 1304, Cowles Foundation for Research in Economics, Yale University.
  15. 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.
  16. 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.
  17. T. Santos & J. Scheinkman, 2000. "Competition Among Exchanges," Princeton Economic Theory Papers 00s12, Economics Department, Princeton University.
  18. 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.
  19. Igor Livshits & James MacGee & Michele Tertilt, 2003. "Consumer bankruptcy: a fresh start," Working Papers 617, Federal Reserve Bank of Minneapolis.
  20. Ricardo Caballero & Arvind Krishnamurthy, 2000. "International and Domestic Collateral Constraints in a Model of Emerging Market Crises," NBER Working Papers 7971, National Bureau of Economic Research, Inc.
  21. Alberto Bisin & Piero Gottardi, 1998. "Competitive Equilibria with Asymmetric Information," Levine's Working Paper Archive 2062, David K. Levine.
  22. 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.
  23. Jeffrey Lacker, 2001. "Collateralized Debt as the Optimal Contract," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 842-859, October.
  24. 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.
  25. 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.
  26. 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.
  27. Diamond, Douglas W, 1984. "Financial Intermediation and Delegated Monitoring," Review of Economic Studies, Wiley Blackwell, vol. 51(3), pages 393-414, July.
  28. 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.
  29. Zhang, Harold H, 1997. " Endogenous Borrowing Constraints with Incomplete Markets," Journal of Finance, American Finance Association, vol. 52(5), pages 2187-2209, December.
  30. Kristopher Gerardi & Adam Hale Shapiro & Paul S. Willen, 2009. "Decomposing the foreclosure crisis: House price depreciation versus bad underwriting," Working Paper 2009-25, Federal Reserve Bank of Atlanta.
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Cited by:
  1. Rubén Poblete-Cazenave & Juan Torres-Martínez, 2013. "Equilibrium with limited-recourse collateralized loans," Economic Theory, Springer, vol. 53(1), pages 181-211, May.

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