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A remark on arbitrage free prices in multi-period economy

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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," Documents de travail du Centre d'Economie de la Sorbonne 12035, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  • Handle: RePEc:mse:cesdoc:12035
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    File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2012/12035.pdf
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    References listed on IDEAS

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

    1. Jean-Marc Bonnisseau & Achis Chery, 2014. "On the equivalence of financial structures with long-term assets," Documents de travail du Centre d'Economie de la Sorbonne 14081, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    2. 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.
    3. Jean-Marc Bonnisseau & Achis Chery, 2013. "Sensitivity of marketable payoffs with long-term assets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00821094, HAL.
    4. 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.
    5. Jean-Marc Bonnisseau & Achis Chery, 2013. "On the equivalence of financial structures with short-term assets," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00917644, HAL.
    6. repec:hal:cesptp:halshs-00917638 is not listed on IDEAS

    More about this item

    Keywords

    Financial exchange economy; arbitrage-free prices; equivalent financial structure;

    JEL classification:

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

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