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Regulating collateral-requirements when markets are incomplete

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Author Info

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

Abstract

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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Bibliographic Info

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

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Web page: http://www.elsevier.com/locate/inca/622869

Related research

Keywords: General equilibrium; Incomplete markets; Collateral; Default; Risk sharing; Government intervention; Pareto efficiency; Welfare; Regulation; Identical homothetic utility;

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Cited by:
  1. Ana Fostel & John Geanakoplos, 2010. "Why Does Bad News Increase Volatility and Decrease Leverage?," IMF Working Papers 10/206, International Monetary Fund.
  2. Ana Fostel & John Geanakoplos, 2013. "Leverage and Default in Binomial Economies: A Complete Characterization," Levine's Working Paper Archive 786969000000000755, David K. Levine.
  3. Michael Magill & Martine Quinzii, 2014. "Prices and Investment with Collateral and Default," Working Papers 143, University of California, Davis, Department of Economics.
  4. Ana Fostel & John Geanakoplos, 2011. "Tranching, CDS and Asset Prices: How Financial Innovation Can Cause Bubbles and Crashes," Cowles Foundation Discussion Papers 1809R, Cowles Foundation for Research in Economics, Yale University.
  5. Aloísio Araújo & Susan Schommer & Michael Woodford, 2013. "Conventional and Unconventional Monetary Policy with Endogenous Collateral Constraints," NBER Working Papers 19711, National Bureau of Economic Research, Inc.
  6. Ana Fostel & John Geanakoplos, 2012. "Leverage and Default in Binomial Economies: A Complete Characterization," Cowles Foundation Discussion Papers 1877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 2013.
  7. Dan Cao, 2011. "Collateral Shortages, Asset Price and Investment Volatility with Heterogeneous Beliefs," Working Papers gueconwpa~11-11-01, Georgetown University, Department of Economics.

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