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Multiplicity in general financial equilibrium with portfolio constraints

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  • Basak, Suleyman
  • Cass, David
  • Licari, Juan Manuel
  • Pavlova, Anna

Abstract

This paper explores the role of portfolio constraints in generating multiplicity of equilibrium. We present a simple financial market economy with two goods and two households, households who face constraints on their ability to take unbounded positions in risky stocks. Absent such constraints, equilibrium allocation is unique and is Pareto efficient. With one portfolio constraint in place, the efficient equilibrium is still possible; however, additional inefficient equilibria in which the constraint is binding may emerge. We show further that with portfolio constraints cum incomplete markets, there may be a continuum of equilibria; adding incomplete markets may lead to real indeterminacy.

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  • Basak, Suleyman & Cass, David & Licari, Juan Manuel & Pavlova, Anna, 2008. "Multiplicity in general financial equilibrium with portfolio constraints," Journal of Economic Theory, Elsevier, vol. 142(1), pages 100-127, September.
    • Handle: RePEc:eee:jetheo:v:142:y:2008:i:1:p:100-127
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    Cited by:

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    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. Jose M. Marin & Jacques P. Olivier, 2008. "The Dog That Did Not Bark: Insider Trading and Crashes," Journal of Finance, American Finance Association, vol. 63(5), pages 2429-2476, October.
    4. Sumudu W. Watugala, 2015. "Economic Uncertainty and Commodity Futures Volatility," Working Papers 15-14, Office of Financial Research, US Department of the Treasury.
    5. Gori, Michele & Pireddu, Marina & Villanacci, Antonio, 2013. "Regularity and Pareto improving on financial equilibria with price-dependent borrowing restrictions," Research in Economics, Elsevier, vol. 67(1), pages 100-110.
    6. Gârleanu, Nicolae & Panageas, Stavros, 2021. "What to expect when everyone is expecting: Self-fulfilling expectations and asset-pricing puzzles," Journal of Financial Economics, Elsevier, vol. 140(1), pages 54-73.
    7. Michele Gori & Marina Pireddu & Antonio Villanacci, 2010. "Regularity and Pareto Improving on financial equilibria with endogenous borrowing restrictions," Working Papers - Mathematical Economics 2010-08, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa, revised Aug 2012.
    8. Kocherlakota, Narayana & Wright, Randall, 2008. "Introduction to monetary and macro economics," Journal of Economic Theory, Elsevier, vol. 142(1), pages 1-4, September.
    9. Sumudu W. Watugala, 2019. "Economic uncertainty, trading activity, and commodity futures volatility," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(8), pages 921-945, August.

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    More about this item

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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