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Dynamic Competitive Economies with Complete Markets and Collateral Constraints

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  • GOTTARDI, Piero
  • KUBLER, Felix

Abstract

In this paper we examine the competitive equilibria of a dynamic stochastic economy with complete markets and collateral constraints. We show that, provided both the set of asset payoffs and collateral levels are sufficiently rich, the equilibrium allocations with sequential trades and collateral constraints are equivalent to those obtained in Arrow-Debreu markets subject to a series of appropriate limited pledgeability constraints. We provide sufficient conditions for equilibria to be Pareto efficient and show that when collateral is scarce equilibria are also often constrained inefficient, in the sense that imposing tighter borrowing restrictions can make everybody in the economy better off. We derive sufficient conditions for the existence of Markov equilibria and show that they typically have finite support when there are two agents' types. The model is then tractable and its equilibria can be computed with arbitrary accuracy. We carry outon this basis a quantitative assessment of the risk sharing and efficiency properties ofequilibria.

Suggested Citation

  • GOTTARDI, Piero & KUBLER, Felix, 2012. "Dynamic Competitive Economies with Complete Markets and Collateral Constraints," Economics Working Papers ECO2012/17, European University Institute.
  • Handle: RePEc:eui:euiwps:eco2012/17
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    References listed on IDEAS

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    Cited by:

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    2. Feixue Gong & Gregory Phelan, 2020. "Debt collateralization, capital structure, and maximal leverage," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 579-605, September.
    3. Boucekkine, Raouf & Nishimura, Kazuo & Venditti, Alain, 2015. "Introduction to financial frictions and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 271-275.
    4. Shibata, Takashi & Nishihara, Michi, 2018. "Investment timing, reversibility, and financing constraints," Journal of Corporate Finance, Elsevier, vol. 48(C), pages 771-796.
    5. Piero Gottardi & Arpad Abraham, 2017. "Optimal Asset Division Rules for Dissolving Partnerships," 2017 Meeting Papers 1372, Society for Economic Dynamics.
    6. 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.
    7. León-Ledesma, Miguel & Orrillo, Jaime, 2021. "Production, bankruptcy, and financial policies under collateral constraints," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 109-119.
    8. 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.
    9. Ani Guerdjikova & John Quiggin, 2019. "Market Selection With Differential Financial Constraints," Econometrica, Econometric Society, vol. 87(5), pages 1693-1762, September.
    10. Denis Gromb & Dimitri Vayanos, 2018. "The Dynamics of Financially Constrained Arbitrage," Journal of Finance, American Finance Association, vol. 73(4), pages 1713-1750, August.
    11. Phelan, Gregory & Toda, Alexis Akira, 2019. "Securitized markets, international capital flows, and global welfare," Journal of Financial Economics, Elsevier, vol. 131(3), pages 571-592.
    12. Feixue Gong & Gregory Phelan, 2016. "Debt Collateralization, Structured Finance, and the CDS Basis," Department of Economics Working Papers 2016-06, Department of Economics, Williams College, revised Aug 2017.
    13. Bloise, Gaetano & Polemarchakis, Herakles & Vailakis, Yiannis, 2017. "Sovereign debt and incentives to default with uninsurable risks," Theoretical Economics, Econometric Society, vol. 12(3), September.
    14. Feixue Gong & Gregory Phelan, 2020. "Collateral Constraints, Tranching, and Price Bases," Department of Economics Working Papers 2020-03, Department of Economics, Williams College.
    15. 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.
    16. Gong Feixue & Gregory Phelan, 2017. "Debt Collateralization, Structured Finance, and the CDS Basis," Department of Economics Working Papers 2017-06, Department of Economics, Williams College.
    17. 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.
    18. Suzuki, Shiba, 2018. "Inequality and asset fire sales," MPRA Paper 90906, University Library of Munich, Germany.
    19. Pham, Ngoc-Sang & Pham, Hien, 2019. "Effects of credit limit on efficiency and welfare in a simple general equilibrium model," MPRA Paper 97927, University Library of Munich, Germany, revised 05 Aug 2019.
    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. Bloise, G. & Citanna, A., 2019. "Asset shortages, liquidity and speculative bubbles," Journal of Economic Theory, Elsevier, vol. 183(C), pages 952-990.
    22. Takashi Shibata & Michi Nishihara, 2019. "Credit Spread And Liquidation Value-Based Debt Financing Constraint," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(05), pages 1-27, August.
    23. Bloise, Gaetano & Citanna, Alessandro, 2015. "Uniqueness of competitive equilibrium with solvency constraints under gross-substitution," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 287-295.
    24. Wei Ma, 2015. "A Constructive Proof of the Existence of Collateral Equilibrium for a Two-Period Exchange Economy Based on a Smooth Interior-Point Path," Computational Economics, Springer;Society for Computational Economics, vol. 45(1), pages 1-30, January.
    25. Christian Loenser & Andreas Schabert, 2020. "Monetary Policy, Financial Constraints, and Redistribution," ECONtribute Discussion Papers Series 011, University of Bonn and University of Cologne, Germany.

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