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Competitive equilibria in infinite-horizon collateralized economies with default penalties

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

Abstract

Araújo, Páscoa and Torres-Martinez (2002) have shown that, without imposing either debt constraints or transversality conditions, Ponzi schemes are ruled out in infinite horizon economies with default when collateral is the only mechanism that partially secures loans. Páscoa and Seghir (2008) subsequently show that Ponzi schemes may reappear if, additionally to the seizure of the collateral, there are sufficiently harsh default penalties assessed (directly in terms of utility) against the defaulters. They also claim that if default penalties are moderate then Ponzi schemes are ruled out and existence of a competitive equilibrium is ensured. The objective of this paper is two fold. First, contrary to what is claimed by Páscoa and Seghir (2008), we show that moderate default penalties do not always prevent agents to run a Ponzi scheme. Second, we provide an alternative condition on default penalties that is sufficient to rule out Ponzi schemes and ensure the existence of a competitive equilibrium.

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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 703.

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Date of creation: 16 Mar 2010
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Handle: RePEc:fgv:epgewp:703

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  1. 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.
  2. 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.
  3. Florenzano, Monique & Gourdel, Pascal, 1993. "Incomplete markets in infinite horizon : debt constraints versus node prices," CEPREMAP Working Papers (Couverture Orange) 9329, CEPREMAP.
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  6. Felix Kubler & Karl Schmedders, 2003. "Stationary Equilibria in Asset-Pricing Models with Incomplete Markets and Collateral," Econometrica, Econometric Society, Econometric Society, vol. 71(6), pages 1767-1793, November.
  7. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2001. "Default and Punishment in General Equilibrium," Cowles Foundation Discussion Papers 1304R5, Cowles Foundation for Research in Economics, Yale University, revised Mar 2004.
  8. Pradeep Dubey & John Geanakoplos & Martin Shubik, 1988. "Default and Efficiency in a General Equilibrium Model with Incomplete Markets," Cowles Foundation Discussion Papers 879R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1989.
  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.
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  12. Magill,Michael & Quinzii,Martine, 1992. "Infinite horizon,Incomplete markets," Discussion Paper Serie A 384, University of Bonn, Germany.
  13. 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).
  14. 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.
  15. William R. Zame, 1990. "Efficiency and the Role of Default When Security Markets are Incomplete," UCLA Economics Working Papers 585, UCLA Department of Economics.
  16. Timothy J Kehoe & David K Levine, 1993. "Debt Constrained Asset Markets," Levine's Working Paper Archive 1276, David K. Levine.
  17. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, Econometric Society, vol. 68(4), pages 775-798, July.
  18. Igor Livshits & James MacGee & Michele Tertilt, 2003. "Consumer bankruptcy: a fresh start," Working Papers 617, Federal Reserve Bank of Minneapolis.
  19. Ferreira, Thiago Revil T. & Torres-Martínez, Juan Pablo, 2010. "The impossibility of effective enforcement mechanisms in collateralized credit markets," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 332-342, May.
  20. 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.
  21. Zhang, Harold H, 1997. " Endogenous Borrowing Constraints with Incomplete Markets," Journal of Finance, American Finance Association, American Finance Association, vol. 52(5), pages 2187-2209, December.
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