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A remark on arbitrage free prices in multi-period economy

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  • Bernard Cornet

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Abhishek Ranjan

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

We study the convexity property of the set of arbitrage-free prices for a multi-period financial exchange economy. We provide sufficient conditions for the set of arbitrage-free prices to be a convex cone, which includes 2-date model. Further we show that a financial exchange economy with the set of arbitrage-free prices neither convex nor cone can be equivalent to a financial exchange economy with the convex cone set of arbitrage-free prices.

Suggested Citation

  • Bernard Cornet & Abhishek Ranjan, 2012. "A remark on arbitrage free prices in multi-period economy," Post-Print halshs-00707401, HAL.
    • Handle: RePEc:hal:journl:halshs-00707401
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00707401
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    References listed on IDEAS

    as
    1. 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.
    2. Aouani, Zaier & Cornet, Bernard, 2009. "Existence of financial equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 772-786, December.
    3. Bernard Cornet & Abhishek Ranjan, 2013. "Equilibria in a multi-period economy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00801402, HAL.
    4. Florenzano, Monique & Gourdel, Pascal, 1994. "T-period economies with incomplete markets," Economics Letters, Elsevier, vol. 44(1-2), pages 91-97.
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    Cited by:

    1. Jean-Marc Bonnisseau & Achis Chery, 2014. "On the equivalence of financial structures with long-term assets," Post-Print hal-01130785, HAL.
    2. Jean-Marc Bonnisseau & Achis Chery, 2013. "On the equivalence of financial structures with short-term assets," Documents de travail du Centre d'Economie de la Sorbonne 13079, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    3. Jean-Marc Bonnisseau & Achis Chery, 2014. "Stability of marketable payoffs with long-term assets," Annals of Finance, Springer, vol. 10(4), pages 523-552, November.
    4. Jean-Marc Bonnisseau & Achis Chery, 2013. "Tackling the instability of growth: A Kaleckian model with autonomous demand expenditures," Documents de travail du Centre d'Economie de la Sorbonne 13029, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    5. Jean-Marc Bonnisseau & Achis Chery, 2013. "Sensitivity of marketable payoffs with long-term assets," Post-Print halshs-00821094, HAL.

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    More about this item

    Keywords

    arbitrage-free prices; Financial exchange economy; equivalent financial structure; Economie d'échange; prix sans arbitrage; structure financière équivalente.; equivalent financial structure.;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets

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