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Endogenous collateral

Author

Listed:
  • Pascoa, Mario Rui
  • Araújo, Aloísio Pessoa de
  • Barbachan, José Santiago Fajardo

Abstract

We study an economy where there are two types of assets. Consumers’ promises are the primitive defaultable assets secured by collateral chosen by the consumers themselves. The purchase of these personalized assets by financial intermediaries is financed by selling back derivatives to consumers. We show that nonarbitrage prices of primitive assets are strict submartingales, whereas nonarbitrage prices of derivatives are supermartingales. Next we establish existence of equilibrium, without imposing bounds on short sales. The nonconvexity of the budget set is overcome by considering a continuum of agents.

Suggested Citation

  • Pascoa, Mario Rui & Araújo, Aloísio Pessoa de & Barbachan, José Santiago Fajardo, 2003. "Endogenous collateral," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 511, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    • Handle: RePEc:fgv:epgewp:511
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    References listed on IDEAS

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    1. Aloisio Araújo & Jaime Orrillo & Mario R. Páscoa, 2000. "Equilibrium with Default and Endogenous Collateral," Mathematical Finance, Wiley Blackwell, vol. 10(1), pages 1-21, January.
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    10. Araujo, Aloisio. & Fajardo, J. & Páscoa. M. R., 2004. "Endogenous Collateral," Finance Lab Working Papers flwp_68, Finance Lab, Insper Instituto de Ensino e Pesquisa.
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    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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