IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-03523222.html
   My bibliography  Save this paper

Continuity ofmarketable payoffs with re-trading

Author

Listed:
  • Jean-Marc Bonnisseau

    (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)

  • Achis Chery

    (CREGED - Centre de Recherche en Gestion et Economie du Développement - Université Quisqueya, LS2E - Laboratoire des Sciences pour l’Environnement et l’Energie - UEH - Université d'État d'Haïti)

Abstract

We consider a stochastic financial exchange economy with a finite date-event tree representing time and uncertainty and a financial structure with possibly long-term assets. We address the question of the continuity of the set of marketable payoffs with respect to the asset prices. In a previous paper, we have exhibited a sufficient condition,which is based only on the returns of the assets.However, it is never satisfied in the structures with re-trading [See Bonnisseau and Chéry (Ann Finance 10:523–552, 2014)], which is a very common feature in many papers following the model of Magill and Quinzii (Theory of Incomplete Markets, MIT Press, Cambridge, 1996). The main purpose of this paper is to address this issue. We exhibit a new sufficient condition for general financial structures, which enjoys the property to be inherited by the re-trading extension of a financial structure. So, we pave the way for equilibrium existence results under assumptions only on the fundamentals of the economy.

Suggested Citation

  • Jean-Marc Bonnisseau & Achis Chery, 2023. "Continuity ofmarketable payoffs with re-trading," Post-Print halshs-03523222, HAL.
    • Handle: RePEc:hal:journl:halshs-03523222
    DOI: 10.1007/s00199-021-01404-2
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Aouani, Zaier & Cornet, Bernard, 2011. "Reduced equivalent form of a financial structure," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 318-327.
    2. repec:hal:pseose:halshs-01056203 is not listed on IDEAS
    3. 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.
    4. Bernard Cornet & Ramu Gopalan, 2010. "Arbitrage and equilibrium with portfolio constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 227-252, October.
    5. Magill, Michael & Quinzii, Martine, 1994. "Infinite Horizon Incomplete Markets," Econometrica, Econometric Society, vol. 62(4), pages 853-880, July.
    6. Aloisio Araujo & Mário Rui Páscoa & Juan Pablo Torres-Martínez, 2002. "Collateral Avoids Ponzi Schemes in Incomplete Markets," Econometrica, Econometric Society, vol. 70(4), pages 1613-1638, July.
    7. Jean-Marc Bottazzi, 2002. "Incomplete markets: transverse financial structures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(1), pages 67-82.
    8. 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.
    9. Araujo, Aloisio & Páscoa, Mário R. & Torres-Martínez, Juan Pablo, 2011. "Long-lived collateralized assets and bubbles," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 260-271.
    10. 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.
    11. 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.
    12. 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.
    13. Hernandez D., Alejandro & Santos, Manuel S., 1996. "Competitive Equilibria for Infinite-Horizon Economies with Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 102-130, October.
    14. Iraola, Miguel A. & Torres-Martínez, Juan Pablo, 2014. "Equilibrium in collateralized asset markets: Credit contractions and negative equity loans," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 113-122.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Iraola, Miguel & Torres-Martínez, Juan Pablo, 2013. "Liquidity Contractions, Incomplete Financial Participation and the Prevalence of Negative Equity Non-recourse Loans," MPRA Paper 46838, University Library of Munich, Germany.
    2. 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.
    3. Cea-Echenique, Sebastián & Torres-Martínez, Juan Pablo, 2016. "Credit segmentation in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 19-27.
    4. Aouani, Zaier & Cornet, Bernard, 2009. "Existence of financial equilibria with restricted participation," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 772-786, December.
    5. Orrillo, Jaime, 2009. "Making promises in infinite-horizon economies with default and collateral," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 3055-3068.
    6. Sebastián Cea-Echenique & Juan Pablo Torres-Martínez, 2018. "General equilibrium with endogenous trading constraints," PLOS ONE, Public Library of Science, vol. 13(9), pages 1-10, September.
    7. 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.
    8. 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.
    9. Bottazzi, Jean-Marc & Luque, Jaime & Páscoa, Mário R., 2012. "Securities market theory: Possession, repo and rehypothecation," Journal of Economic Theory, Elsevier, vol. 147(2), pages 477-500.
    10. John Geanakoplos & William Zame, 2014. "Collateral equilibrium, I: a basic framework," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 443-492, August.
    11. Iraola, Miguel A. & Torres-Martínez, Juan Pablo, 2014. "Equilibrium in collateralized asset markets: Credit contractions and negative equity loans," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 113-122.
    12. Sebastián Cea-Echenique & Carlos Hervés-Beloso & Juan Pablo Torres-Martínez, 2012. "Endogenous Information: The Role of Sequential Trade and Financial Participation," Working Papers wp361, University of Chile, Department of Economics.
    13. Zaier Aouani & Bernard Cornet, 2017. "Eliminating useless portfolios in constrained financial economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 159-190, January.
    14. A. Jofré & R. T. Rockafellar & R. J-B. Wets, 2017. "General economic equilibrium with financial markets and retainability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 309-345, January.
    15. Claudio Mattalia, 2003. "Existence of solutions and asset pricing bubbles in general equilibrium models," ICER Working Papers - Applied Mathematics Series 02-2003, ICER - International Centre for Economic Research.
    16. Lionel de Boisdeffre, 2021. "Dropping the Cass Trick and Extending Cass' Theorem to Asymmetric Information and Restricted Participation," Post-Print halshs-03196923, HAL.
    17. Martins-da-Rocha, Victor Filipe & Vailakis, Yiannis, 2010. "Competitive equilibria in infinite-horizon collateralized economies with default penalties," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 703, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    18. Felipe Martins-da-Rocha & Yiannis Vailakis, 2008. "Collateral, default penalties and almost finite-time solvency," Levine's Working Paper Archive 122247000000002049, David K. Levine.
    19. Philippe Bich & Bernard Cornet, 2009. "Existence of pseudo-equilibria in a financial economy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00426399, HAL.
    20. Bosi, Stefano & Van, Cuong Le & Pham, Ngoc-Sang, 2018. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 1-20.

    More about this item

    Keywords

    Incomplete markets · Financial equilibrium · Multi-period model · Long-term assets · Re-traded assets · Financial structures with re-trading;

    JEL classification:

    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • G1 - Financial Economics - - General Financial Markets

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:halshs-03523222. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.