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Credit segmentation in general equilibrium

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Abstract
We build a general equilibrium model with endogenous borrowing constraints compatible with credit segmentation. There are personalized trading restrictions connecting prices with both portfolio constraints and consumption possibilities, a setting which has not thoroughly been addressed by the literature. Our approach is general enough to be compatible with incomplete market economies where there exist wealth-dependent and/or investment-dependent credit access, borrowing constraints precluding bankruptcy, or assets backed by physical collateral. To prove equilibrium existence, we assume that transfers implementable in segmented markets can be super-replicated by investments in non-segmented markets. We prove that equilibrium exists because of this super-replication property, which is satisfied if either (i) all individuals have access to borrow at a risk-free rate; or (ii) financial contracts make real promises in terms of non-perishable commodities; or (iii) promises are backed by physical collateral

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  • Sebastián Cea-Echenique & Juan Pablo Torres-Martínez, 2014. "Credit segmentation in general equilibrium," Documents de travail du Centre d'Economie de la Sorbonne 14095, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  • Handle: RePEc:mse:cesdoc:14095
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    1. Aouani, Zaier & Cornet, Bernard, 2011. "Reduced equivalent form of a financial structure," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 318-327.
    2. Laura Angeloni & Bernard Cornet, 2005. "Existence Of Financial Equilibria In A Multiperiod Stochastic Economy," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200506, University of Kansas, Department of Economics, revised Feb 2005.
    3. Aouani, Zaier & Cornet, Bernard, 2009. "Existence of financial equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 772-786, December.
    4. Matthew Hoelle & Marina Pireddu & Antonio Villanacci, 2016. "Incomplete financial markets with real assets and wealth-dependent credit limits," Journal of Economics, Springer, vol. 117(1), pages 1-36, January.
    5. John Geanakoplos & William Zame, 2014. "Collateral equilibrium, I: a basic framework," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 443-492, August.
    6. Seghir, Abdelkrim & Torres-Martínez, Juan Pablo, 2011. "On equilibrium existence with endogenous restricted financial participation," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 37-42, January.
    7. Bernard Cornet & Ramu Gopalan, 2010. "Arbitrage and equilibrium with portfolio constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 227-252, October.
    8. Cass, David & Siconolfi, Paolo & Villanacci, Antonio, 2001. "Generic regularity of competitive equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 61-76, September.
    9. Sebastián Cea-Echenique & Juan Pablo Torres-Martínez, 2018. "General equilibrium with endogenous trading constraints," PLOS ONE, Public Library of Science, vol. 13(9), pages 1-10, September.
    10. Michele Gori & Marina Pireddu & Antonio Villanacci, 2014. "Existence of financial equilibria with endogenous short selling restrictions and real assets," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(2), pages 349-371, October.
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    17. Matthew Hoelle & Marina Pireddu & Antonio Villanacci, 2012. "Incomplete Financial Markets With Real Assets and Endogenous Credit Limits," Purdue University Economics Working Papers 1271, Purdue University, Department of Economics.
    18. Iraola, Miguel A. & Torres-Martínez, Juan Pablo, 2014. "Equilibrium in collateralized asset markets: Credit contractions and negative equity loans," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 113-122.
    19. V.F. Martins-da-Rocha & L. Triki, 2005. "Equilibria in exchange economies with financial constraints: Beyond the Cass Trick," Microeconomics 0503013, University Library of Munich, Germany.
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    Cited by:

    1. Sebastián Cea-Echenique & Juan Pablo Torres-Martínez, 2018. "General equilibrium with endogenous trading constraints," PLOS ONE, Public Library of Science, vol. 13(9), pages 1-10, September.
    2. Faias, Marta & Torres-Martínez, Juan Pablo, 2017. "Credit market segmentation, essentiality of commodities, and supermodularity," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 115-122.
    3. Iraola, Miguel A. & Sepúlveda, Fabián & Torres-Martínez, Juan Pablo, 2019. "Financial segmentation and collateralized debt in infinite-horizon economies," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 56-69.

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    More about this item

    Keywords

    Incomplete Markets; General Equilibrium; Endogenous Trading Constraints;
    All these keywords.

    JEL classification:

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

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