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Collateral or utility penalties?

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  • Wilfredo L. Maldonado
  • Jaime Orrillo

Abstract

In a two‐period economy with incomplete markets and possibility of default we consider the two classical ways of enforcing the honoring of financial commitments: by using utility penalties and by using collateral requirements that borrowers have to fulfill. First, we prove that any equilibrium in an economy with collateral requirements is also an equilibrium in a non‐collateralized economy where each agent is penalized in their utility if his or her delivery rate is lower than the payment rate of the financial market. Second, we prove the converse: any equilibrium in an economy with utility penalties is also an equilibrium in a collateralized economy. For this to be true, the payoff function and initial endowments of the agents must be modified in a quite natural way. Finally, we prove that the equilibrium in the economy with collateral requirements attains the same welfare as in the new economy with utility penalties.

Suggested Citation

  • Wilfredo L. Maldonado & Jaime Orrillo, 2007. "Collateral or utility penalties?," International Journal of Economic Theory, The International Society for Economic Theory, vol. 3(2), pages 95-111, June.
    • Handle: RePEc:bla:ijethy:v:3:y:2007:i:2:p:95-111
    DOI: 10.1111/j.1742-7363.2007.00049.x
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    References listed on IDEAS

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    1. Orrillo, Jaime, 2009. "Making promises in infinite-horizon economies with default and collateral," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 3055-3068.
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    Cited by:

    1. Carvalho, Jaimilton & Orrillo, Jaime & da Silva, Fernanda Rocha Gomes, 2020. "Probability of default in collateralized credit operations for small business," The North American Journal of Economics and Finance, Elsevier, vol. 52(C).
    2. Jose Angelo Divino & Edna Souza Lima & Jaime Orrillo, 2013. "Interest rates and default in unsecured loan markets," Quantitative Finance, Taylor & Francis Journals, vol. 13(12), pages 1925-1934, December.

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    1. Maldonado, Wilfredo L. & Orrillo, Jaime, 2006. "Two-Sided Altruism in an OLG Model with Incomplete Markets and Default," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 26(2), November.
    2. Orrillo, Jaime, 2005. "Collateral once again," Economics Letters, Elsevier, vol. 87(1), pages 27-33, April.

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