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Regulating collateral-requirements when markets are incomplete

  • Araújo, Aloísio
  • Kubler, Felix
  • Schommer, Susan

In this paper we examine the effects of default and collateral on risk sharing. We assume that there is a large set of assets which all promise a risk less payoff but which distinguish themselves by their collateral requirements. In equilibrium agents default, the assets have different payoffs, and there are as many linearly independent assets available for trade as there are states of the world. We derive necessary and sufficient conditions for equilibria to be Pareto-efficient in the presence of uncertainty. We explore some examples for which the collateral equilibrium allocation is identical to the Arrow–Debreu allocation, either when agents have a high preference for the durable good, or when the endowment distribution of the durable good is relatively homogeneous. We examine a series of examples to understand which collateral-levels prevail in equilibrium and under which conditions there is scope for regulating margin-requirements, that is, restricting the sets of tradable assets through government intervention. In these examples equilibrium is always sub-optimal but regulation never leads to a Pareto-improvement. While the competitive equilibria are constrained efficient, there do exist regulations which make large groups of agents in the economy better off. These regulations typically restrict all trades to take place in the low-collateral loans and benefit the poor and the rich agents in the economy through their effects on the equilibrium interest rate and the equilibrium prices of the durable goods.

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File URL: http://www.sciencedirect.com/science/article/pii/S0022053110001432
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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 147 (2012)
Issue (Month): 2 ()
Pages: 450-476

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Handle: RePEc:eee:jetheo:v:147:y:2012:i:2:p:450-476
DOI: 10.1016/j.jet.2010.09.004
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. 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).
  2. Aloisio Araújo & Jaime Orrillo & Mario R. Páscoa, 2000. "Equilibrium with Default and Endogenous Collateral," Mathematical Finance, Wiley Blackwell, vol. 10(1), pages 1-21.
  3. Rui Yao, 2005. "Optimal Consumption and Portfolio Choices with Risky Housing and Borrowing Constraints," Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 197-239.
  4. Páscoa, Mario Rui & Araújo, Aloísio Pessoa de & Barbachan, José Santiago Fajardo, 2003. "Endogenous collateral," Economics Working Papers (Ensaios Economicos da EPGE) 511, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  5. 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.
  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. David Cass & Alessandro Citanna, 1998. "Pareto improving financial innovation in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 467-494.
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