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Production and Endogenous Bankruptcy under Collateral Constraints

Author

Listed:
  • Miguel Leon-Ledesma
  • Jaime Orrillo
Abstract
We propose an extension of the incomplete markets general equilibrium model with production to situations in which firms default. In the model, firms are assumed to be owned by a single individual whose roles as entrepreneur and consumer are anonymous. Assets are exogenously collateralised and are seized together with future output in case of defaulting. Default is thus endogenous as output determines the deliveries from the assets issued. In turn, the receipts from each asset purchased are assumed to depend on a fraction of the firm's output. This fraction is assumed to be anonymous and is treated as given by individuals who will anticipate it, in equilibrium, as a fraction of the whole output of the economy, generating counter-cyclical default. We show that, under usual assumptions on utilities and technologies, an equilibrium always exists. We then discuss the implications of this setting for Fisher's "separation theorem" and the irrelevance of the financial policies of the firm.

Suggested Citation

  • Miguel Leon-Ledesma & Jaime Orrillo, 2016. "Production and Endogenous Bankruptcy under Collateral Constraints," Studies in Economics 1610, School of Economics, University of Kent.
    • Handle: RePEc:ukc:ukcedp:1610
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    File URL: https://www.kent.ac.uk/economics/repec/1610.pdf
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    References listed on IDEAS

    as
    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.
    2. Jacques Drèze & Enrico Minelli & Mario Tirelli, 2008. "Production and financial policies under asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 217-231, May.
    3. Piero Gottardi & Felix Kubler, 2015. "Dynamic Competitive Economies with Complete Markets and Collateral Constraints," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(3), pages 1119-1153.
    4. 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.
    5. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, January.
    6. Markus K. Brunnermeier & Thomas M. Eisenbach & Yuliy Sannikov, 2012. "Macroeconomics with Financial Frictions: A Survey," Levine's Working Paper Archive 786969000000000384, David K. Levine.
    7. Vincenzo Quadrini, 2011. "Financial frictions in macroeconomic fluctations," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 97(3Q), pages 209-254.
    8. Araujo, Aloisio & Fajardo, Jose & Pascoa, Mario R., 2005. "Endogenous collateral," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 439-462, August.
    9. Guido Ruta & Piero Gottardi, 2009. "Equilibrium corporate finance," 2009 Meeting Papers 149, Society for Economic Dynamics.
    10. Hellwig, Martin F, 1981. "Bankruptcy, Limited Liability, and the Modigliani-Miller Theorem," American Economic Review, American Economic Association, vol. 71(1), pages 155-170, March.
    11. repec:fip:fedreq:y:2011:i:3q:p:209-254:n:vol.97no.3 is not listed on IDEAS
    12. Gersbach, Hans & Haller, Hans & Müller, Jürg, 2015. "The macroeconomics of Modigliani–Miller," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1081-1113.
    13. DeMarzo, Peter M., 1988. "An extension of the Modigliani-Miller theorem to stochastic economies with incomplete markets and interdependent securities," Journal of Economic Theory, Elsevier, vol. 45(2), pages 353-369, August.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. León-Ledesma, Miguel & Orrillo, Jaime, 2021. "Production, bankruptcy, and financial policies under collateral constraints," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 109-119.
    2. 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).

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    More about this item

    Keywords

    General equilibrium; Incomplete markets; default; production economy;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access

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