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. William R. Zame, 1992. "Efficiency and the Role of Default When Security Markets are Incomplete," UCLA Economics Working Papers 673, UCLA Department of Economics.
  2. Magill, M. & Quinzii, M., 1993. "Infinite Horizon Incomplete Markets," Papers 9320, Southern California - Department of Economics.
  3. Timothy J. Kehoe & David K. Levine, 1992. "Debt constrained asset markets," Working Papers 445, Federal Reserve Bank of Minneapolis.
  4. Nobuhiro Kiyotaki & John Moore, 1995. "Credit Cycles," NBER Working Papers 5083, National Bureau of Economic Research, Inc.
  5. Martins-da-Rocha, V. Filipe & Vailakis, Yiannis, 2012. "Harsh default penalties lead to Ponzi schemes: A counterexample," Games and Economic Behavior, Elsevier, vol. 75(1), pages 277-282.
  6. 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.).
  7. Jeffrey M. Lacker, 1998. "Collateralized debt as the optimal contract," Working Paper 98-04, Federal Reserve Bank of Richmond.
  8. 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.
  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. 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.
  11. 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.
  12. David K. Levine & William R. Zame, 2002. "Does Market Incompleteness Matter?," Econometrica, Econometric Society, vol. 70(5), pages 1805-1839, September.
  13. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, 01.
  14. 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.
  15. 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.
  16. Igor Livshits & James MacGee & Michele Tertilt, 2005. "Consumer Bankruptcy: A Fresh Start," Discussion Papers 04-011, Stanford Institute for Economic Policy Research.
  17. Zhang, H.H., 1995. "Endogenous Borrowing Constraints with Incomplete Markets," GSIA Working Papers 1995-25, Carnegie Mellon University, Tepper School of Business.
  18. Levine, David K. & Zame, William R., 1996. "Debt constraints and equilibrium in infinite horizon economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 103-131.
  19. 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.
  20. 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.
  21. Tano Santos & José A. Scheinkman, 2000. "Competition Among Exchanges," CRSP working papers 514, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  22. 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.
  23. 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.
  24. Satyajit Chatterjee & Dean Corbae & Makoto Nakajima & Jose-Victor Rios-Rull, 2007. "A quantitative theory of unsecured consumer credit with risk of default," Working Papers 07-16, Federal Reserve Bank of Philadelphia.
  25. Diamond, Douglas W, 1984. "Financial Intermediation and Delegated Monitoring," Review of Economic Studies, Wiley Blackwell, vol. 51(3), pages 393-414, July.
  26. 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.
  27. Jeffrey Lacker, 2001. "Online Appendix to Collateralized Debt as the Optimal Contract," Technical Appendices lacker01, Review of Economic Dynamics.
  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. Alberto Bisin & Piero Gottardi, 1998. "Competitive Equilibria with Asymmetric Information," Levine's Working Paper Archive 2062, David K. Levine.
  30. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-98, May.
  31. 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.
  32. 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.
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.