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Incomplete financial markets with real assets and wealth-dependent credit limits

Author

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  • Matthew Hoelle

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  • Marina Pireddu

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  • Antonio Villanacci

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Abstract

In this paper we analyze the effects of restricted participation in a two-period general equilibrium model with incomplete financial markets and two key elements: the competitive trading of real assets, i.e., assets having payouts in terms of vectors of commodities, and household-specific inequality constraints that restrict participation in the financial markets. Similar to certain arrangements in the market for bank loans, household borrowing is restricted by a household-specific wealth dependent upper bound on credit lines in all states of uncertainty in the second period. We first establish that, generically in the set of the economies, equilibria exist and are finite and regular. We then show that equilibria are generically suboptimal. Finally, we provide a robust example demonstrating that the equilibrium allocations can be Pareto improved through a tightening of the participation constraints. This suggests, contrary to what is often cited as economic wisdom in the popular press, that in a setting with frictions resulting in an inefficient allocation the regulation of markets may have a Pareto-improving effect on the economy. Copyright Springer-Verlag Wien 2016

Suggested Citation

  • 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.
  • Handle: RePEc:kap:jeczfn:v:117:y:2016:i:1:p:1-36
    DOI: 10.1007/s00712-015-0438-4
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    References listed on IDEAS

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    1. 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.
    2. Carosi, Laura & Gori, Michele & Villanacci, Antonio, 2009. "Endogenous restricted participation in general financial equilibrium," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 787-806, December.
    3. Husseini, S. Y. & Lasry, J. -M. & Magill, M. J. P., 1990. "Existence of equilibrium with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 39-67.
    4. R. G. Lipsey & Kelvin Lancaster, 1956. "The General Theory of Second Best," Review of Economic Studies, Oxford University Press, vol. 24(1), pages 11-32.
    5. Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December.
    6. Polemarchakis, H. M. & Siconolfi, P., 1997. "Generic existence of competitive equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 28(3), pages 289-311, October.
    7. Balasko, Yves & Cass, David & Siconolfi, Paolo, 1990. "The structure of financial equilibrium with exogenous yields : The case of restricted participation," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 195-216.
    8. K. J. Arrow, 1964. "The Role of Securities in the Optimal Allocation of Risk-bearing," Review of Economic Studies, Oxford University Press, vol. 31(2), pages 91-96.
    9. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
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    Citations

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    Cited by:

    1. 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.
    2. Sebastián Cea-Echenique & Juan Pablo Torres-Martínez, 2015. "Credit segmentation in general equilibrium," Post-Print hal-01151576, HAL.
    3. Daniel Jaar, 2018. "Sequential Equilibrium in Incomplete Markets with Long-Term Debt," Working Papers wp474, University of Chile, Department of Economics.

    More about this item

    Keywords

    General equilibrium; Restricted participation; Financial markets; Generic regularity; Real assets; Pareto suboptimality; D50; D53; D61; G10;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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