IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

Endogenous debt constraints in collateralized economies with default penalties

  • 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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.sciencedirect.com/science/article/pii/S0304406811000875
Download Restriction: Full text for ScienceDirect subscribers only

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Article provided by Elsevier in its journal Journal of Mathematical Economics.

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

as
in new window

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

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. 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.
  2. David K. Levine & William R. Zame, 2002. "Does Market Incompleteness Matter?," Econometrica, Econometric Society, vol. 70(5), pages 1805-1839, September.
  3. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-98, May.
  4. Nobuhiro Kiyotaki & John Moore, 1995. "Credit Cycles," NBER Working Papers 5083, National Bureau of Economic Research, Inc.
  5. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, 01.
  6. 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.
  7. Timothy J Kehoe & David K Levine, 1993. "Debt Constrained Asset Markets," Levine's Working Paper Archive 1276, David K. Levine.
  8. 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.
  9. 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).
  10. 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.
  11. Bernanke, Ben & Gertler, Mark & Gilchrist, Simon, 1994. "The Financial Accelerator and the Flight to Quality," Working Papers 94-24, C.V. Starr Center for Applied Economics, New York University.
  12. Tano Santos & Joséa. Scheinkman, 2001. "Competition Among Exchanges," The Quarterly Journal of Economics, MIT Press, vol. 116(3), pages 1027-1061, August.
  13. 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.
  14. Araujo, A. & Monteiro, P. K. & Páscoa, M.R., . "Incomplete markets, continuum of states and default," CORE Discussion Papers RP -1297, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  15. William R. Zame, 1992. "Efficiency and the Role of Default When Security Markets are Incomplete," UCLA Economics Working Papers 673, UCLA Department of Economics.
  16. Magill, M. & Quinzii, M., 1993. "Infinite Horizon Incomplete Markets," Papers 9320, Southern California - Department of Economics.
  17. Jeffrey Lacker, 2001. "Online Appendix to Collateralized Debt as the Optimal Contract," Technical Appendices lacker01, Review of Economic Dynamics.
  18. Jeffrey M. Lacker, 1998. "Collateralized debt as the optimal contract," Working Paper 98-04, Federal Reserve Bank of Richmond.
  19. David K. Levine & William R. Zame, 1992. "Debt Constraints and Equilibrium in Infinite Horizon Economies with Incomplete Markets," UCLA Economics Working Papers 666, UCLA Department of Economics.
  20. 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.
  21. 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).
  22. Igor Livshits & James MacGee & Michele Tertilt, 2005. "Consumer Bankruptcy: A Fresh Start," Discussion Papers 04-011, Stanford Institute for Economic Policy Research.
  23. Diamond, Douglas W, 1984. "Financial Intermediation and Delegated Monitoring," Review of Economic Studies, Wiley Blackwell, vol. 51(3), pages 393-414, July.
  24. 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.
  25. Zhang, H.H., 1995. "Endogenous Borrowing Constraints with Incomplete Markets," GSIA Working Papers 1995-25, Carnegie Mellon University, Tepper School of Business.
  26. John Geanakoplos & Ana Fostel, 2008. "Leverage Cycles and the Anxious Economy," American Economic Review, American Economic Association, vol. 98(4), pages 1211-44, September.
  27. 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.
  28. 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.
  29. Alberto Bisin & Piero Gottardi, 1998. "Competitive Equilibria with Asymmetric Information," Levine's Working Paper Archive 2062, David K. Levine.
  30. 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.
  31. 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.
  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.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:48:y:2012:i:1:p:1-13. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.