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Equilibrium with Default and Endogenous Collateral

Author

Listed:
  • 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. Copyright Blackwell Publishers, Inc. 2000.

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.
  • Handle: RePEc:bla:mathfi:v:10:y:2000:i:1:p:1-21
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    Citations

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    Cited by:

    1. Fajardo, Jose, 2005. "A note on arbitrage and exogenous collateral," Mathematical Social Sciences, Elsevier, vol. 50(3), pages 336-341, November.
    2. Aloisio Araujo, 2002. "As Leis de Falência: uma Abordagem Econômica," Working Papers Series 57, Central Bank of Brazil, Research Department.
    3. repec:sbe:breart:v:26:y:2006:i:1:a:2501 is not listed on IDEAS
    4. 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.
    5. Araujo, Aloisio & Fajardo, Jose & Pascoa, Mario R., 2005. "Endogenous collateral," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 439-462, August.
    6. repec:fgv:epgrbe:v:67:n:3:a:3 is not listed on IDEAS
    7. 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.
    8. Cecilia Parlatore Siritto, 2012. "Equilibrium Collateral Constraints," 2012 Meeting Papers 492, Society for Economic Dynamics.
    9. Feijó, Ricardo Luis Chaves, 2013. "The General Equilibrium Framework with Default and Collateral," Revista Brasileira de Economia - RBE, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil), vol. 67(3), September.
    10. 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.
    11. Pascoa, Mario Rui & Araújo, Aloísio Pessoa de & Barbachan, José Santiago Fajardo, 2001. "Endogenous collateral: arbitrage and equilibrium without bounded short sales," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 418, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
    12. Vincent Maurin & Cyril Monnet & Piero Gottardi, 2016. "A Theory of Repurchase Agreement, Collateral Re-use, and Repo Intermediation," 2016 Meeting Papers 417, Society for Economic Dynamics.
    13. 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.
    14. 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.
    15. Madan, Dilip B., 2004. "Monitored financial equilibria," Journal of Banking & Finance, Elsevier, vol. 28(9), pages 2213-2235, September.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. Miguel Leon-Ledesma & Jaime Orrillo, 2016. "Production and Endogenous Bankruptcy under Collateral Constraints," Studies in Economics 1610, School of Economics, University of Kent.
    21. 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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