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Equilibrium with Default and Endogenous Collateral

Author

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  • Aloisio Araújo
  • Jaime Orrillo
  • Mario R. Páscoa

Abstract

We study a two‐period general equilibrium model with incomplete asset markets and default. We make collateral endogenous by allowing each seller of assets to fix the level of collateral. Sellers are required to provide collateral whose first‐period value, per unit of asset, exceeds the asset price by an arbitrarily small amount. Moreover, borrowers are also required to be fully covered by the purchase, in the first period, of state‐by‐state default insurance. These insurance contracts are offered by lenders. The insurance cost or revenue is a linear charge and plays the role of a spread penalizing borrowers who will incur in default and benefiting lenders who will suffer default. Under these assumptions, equilibrium always exists.

Suggested Citation

  • 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.
    • Handle: RePEc:bla:mathfi:v:10:y:2000:i:1:p:1-21
    DOI: 10.1111/1467-9965.00077
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    Cited by:

    1. Wooders, Myrna & Edward Cartwright & Selten, Reinhard, 2002. "Social Conformity And Equilibrium In Pure Strategies In Games With Many Players," The Warwick Economics Research Paper Series (TWERPS) 636, University of Warwick, Department of Economics.
    2. Fajardo, Jose, 2005. "A note on arbitrage and exogenous collateral," Mathematical Social Sciences, Elsevier, vol. 50(3), pages 336-341, November.
    3. Aloisio Araujo, 2002. "As Leis de Falência: uma Abordagem Econômica," Working Papers Series 57, Central Bank of Brazil, Research Department.
    4. Orrilo, Jaime, 2006. "Another Proof of the Existence of GEI Equilibrium with Default and Exogenous Collateral," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 26(1), May.
    5. Araújo, Aloísio & Kubler, Felix & Schommer, Susan, 2012. "Regulating collateral-requirements when markets are incomplete," Journal of Economic Theory, Elsevier, vol. 147(2), pages 450-476.
    6. Araujo, Aloisio & Fajardo, Jose & Pascoa, Mario R., 2005. "Endogenous collateral," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 439-462, August.
    7. Wooders, M. & Selten, R. & Cartwright, E., 2001. "Some First Results for Noncooperative Pregames : Social Conformity and Equilibrium in Pure Strategies," The Warwick Economics Research Paper Series (TWERPS) 589, University of Warwick, Department of Economics.
    8. repec:fgv:epgrbe:v:67:n:3:a:3 is not listed on IDEAS
    9. Jaime Luque, 2014. "Wages, local amenities and the rise of the multi-skilled city," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 52(2), pages 457-467, March.
    10. León-Ledesma, Miguel & Orrillo, Jaime, 2021. "Production, bankruptcy, and financial policies under collateral constraints," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 109-119.
    11. Piero Gottardi & Vincent Maurin & Cyril Monnet, 2019. "A theory of repurchase agreements, collateral re-use, and repo intermediation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 33, pages 30-56, July.
    12. Adriano Campos Menezes & Jaime Orrillo, 2018. "Concerning The Seizure Of Collateral In Collateralized Loan Markets," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 1-9, September.
    13. Cecilia Parlatore Siritto, 2012. "Equilibrium Collateral Constraints," 2012 Meeting Papers 492, Society for Economic Dynamics.
    14. Aloísio Araújo & Susan Schommer & Michael Woodford, 2015. "Conventional and Unconventional Monetary Policy with Endogenous Collateral Constraints," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(1), pages 1-43, January.
    15. Orrillo, Jaime, 2001. "Default and exogenous collateral in incomplete markets with a continuum of states," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 151-165, February.
    16. Nuno Gouveia, 2004. "General equilibrium with asymmetric information and default penalties," Cahiers de la Maison des Sciences Economiques b05051, Université Panthéon-Sorbonne (Paris 1), revised Jan 2005.
    17. Madan, Dilip B., 2004. "Monitored financial equilibria," Journal of Banking & Finance, Elsevier, vol. 28(9), pages 2213-2235, September.
    18. Madison, Florian, 2024. "Asymmetric information in frictional markets for liquidity: Collateralized credit vs asset sale," Journal of Economic Dynamics and Control, Elsevier, vol. 159(C).
    19. Rubén Poblete-Cazenave & Juan Torres-Martínez, 2013. "Equilibrium with limited-recourse collateralized loans," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 181-211, May.
    20. Nuno Gouveia, 2005. "General equilibrium with asymmetric information and default penalties," Post-Print halshs-00195526, HAL.
    21. Athanasios Geromichalos & Jiwon Lee & Seungduck Lee & Keita Oikawa, 2014. "Over-the-Counter Trade and the Value of Assets as Collateral," Working Papers 143, University of California, Davis, Department of Economics.
    22. Miguel Leon-Ledesma & Jaime Orrillo, 2016. "Production and Endogenous Bankruptcy under Collateral Constraints," Studies in Economics 1610, School of Economics, University of Kent.
    23. Magill, Michael & Quinzii, Martine, 2015. "Prices and investment with collateral and default," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 111-132.

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