IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-01998386.html
   My bibliography  Save this paper

How Does Asymmetric Information Create Market Incompleteness?

Author

Listed:
  • Anne Eyraud-Loisel

    (SAF - Laboratoire de Sciences Actuarielle et Financière - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon)

Abstract

The aim of this work is to show that incompleteness is due in general not only to a lack of assets, but also to a lack of information. In this paper we present a simple inuence model where the inuencial agent has access to additional information. This leads to the construction of two models, a complete model and an incomplete model where the only dierence is a dierence of information. This leads to a simple model of incomplete market where the number of assets is not the cause of incompleteness: incomplete information is the explanation. Keywords Information · asymmetric information · option pricing · martin-gales · insider trading · complete market · incomplete market AMS Classication (2000): 60H10, 60G44, 60H07, 60J75, 91G20, 91B70, 93E11. JEL Classication: C60,G11,G14.

Suggested Citation

  • Anne Eyraud-Loisel, 2019. "How Does Asymmetric Information Create Market Incompleteness?," Post-Print hal-01998386, HAL.
  • Handle: RePEc:hal:journl:hal-01998386
    Note: View the original document on HAL open archive server: https://hal.science/hal-01998386
    as

    Download full text from publisher

    File URL: https://hal.science/hal-01998386/document
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Axel Grorud & Monique Pontier, 1998. "Insider Trading in a Continuous Time Market Model," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 1(03), pages 331-347.
    2. Anne Eyraud-Loisel, 2005. "Backward stochastic differential equations with enlarged filtration: Option hedging of an insider trader in a financial market with jumps," Post-Print hal-01298905, HAL.
    3. Axel Grorud & Monique Pontier, 2001. "Asymmetrical Information And Incomplete Markets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 4(02), pages 285-302.
    4. Caroline Hillairet, 2005. "Existence Of An Equilibrium With Discontinuous Prices, Asymmetric Information, And Nontrivial Initial Σ‐Fields," Mathematical Finance, Wiley Blackwell, vol. 15(1), pages 99-117, January.
    5. Anne Eyraud-Loisel, 2013. "Quadratic hedging in an incomplete market derived by an influent informed investor," Post-Print hal-00450949, HAL.
    6. K. J. Arrow, 1964. "The Role of Securities in the Optimal Allocation of Risk-bearing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(2), pages 91-96.
    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. Anne Eyraud-Loisel, 2019. "How Does Asymmetric Information Create Market Incompleteness?," Methodology and Computing in Applied Probability, Springer, vol. 21(2), pages 531-538, June.
    2. Fontana, Claudio, 2018. "The strong predictable representation property in initially enlarged filtrations under the density hypothesis," Stochastic Processes and their Applications, Elsevier, vol. 128(3), pages 1007-1033.
    3. Anne Eyraud-Loisel, 2011. "Option Hedging By An Influent Informed Investor," Post-Print hal-00450948, HAL.
    4. Beatrice Acciaio & Claudio Fontana & Constantinos Kardaras, 2014. "Arbitrage of the first kind and filtration enlargements in semimartingale financial models," Papers 1401.7198, arXiv.org, revised May 2015.
    5. José Manuel Corcuera & Giulia Nunno & José Fajardo, 2019. "Kyle equilibrium under random price pressure," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(1), pages 77-101, June.
    6. Anne Eyraud-Loisel, 2013. "Quadratic hedging in an incomplete market derived by an influent informed investor," Post-Print hal-00450949, HAL.
    7. Claudio Fontana, 2015. "The strong predictable representation property in initially enlarged filtrations under the density hypothesis," Papers 1508.03282, arXiv.org, revised Jun 2017.
    8. Huy N. Chau & Andrea Cosso & Claudio Fontana, 2018. "The value of informational arbitrage," Papers 1804.00442, arXiv.org.
    9. Acciaio, Beatrice & Fontana, Claudio & Kardaras, Constantinos, 2016. "Arbitrage of the first kind and filtration enlargements in semimartingale financial models," LSE Research Online Documents on Economics 65150, London School of Economics and Political Science, LSE Library.
    10. Caroline Hillairet & Ying Jiao, 2015. "Portfolio optimization with insider’s initial information and counterparty risk," Finance and Stochastics, Springer, vol. 19(1), pages 109-134, January.
    11. Hillairet, Caroline, 2005. "Comparison of insiders' optimal strategies depending on the type of side-information," Stochastic Processes and their Applications, Elsevier, vol. 115(10), pages 1603-1627, October.
    12. Anne Eyraud-Loisel, 2005. "Backward stochastic differential equations with enlarged filtration: Option hedging of an insider trader in a financial market with jumps," Post-Print hal-01298905, HAL.
    13. Eyraud-Loisel, Anne, 2005. "Backward stochastic differential equations with enlarged filtration: Option hedging of an insider trader in a financial market with jumps," Stochastic Processes and their Applications, Elsevier, vol. 115(11), pages 1745-1763, November.
    14. Huy N. Chau & Andrea Cosso & Claudio Fontana, 2020. "The value of informational arbitrage," Finance and Stochastics, Springer, vol. 24(2), pages 277-307, April.
    15. José Manuel Corcuera & Giulia Di Nunno, 2018. "Kyle–Back’S Model With A Random Horizon," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 1-41, March.
    16. Acciaio, Beatrice & Fontana, Claudio & Kardaras, Constantinos, 2016. "Arbitrage of the first kind and filtration enlargements in semimartingale financial models," Stochastic Processes and their Applications, Elsevier, vol. 126(6), pages 1761-1784.
    17. Robert J. Shiller & Stefano Athanasoulis, 1995. "World Income Components: Measuring and Exploiting International Risk Sharing Opportunities," NBER Working Papers 5095, National Bureau of Economic Research, Inc.
    18. Mas-Colell, Andreu & Zame, William R., 1996. "The existence of security market equilibrium with a non-atomic state space," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 63-84.
    19. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 541-571.
    20. Jonathan Eaton & Samuel Kortum & Brent Neiman & John Romalis, 2016. "Trade and the Global Recession," American Economic Review, American Economic Association, vol. 106(11), pages 3401-3438, November.

    More about this item

    Keywords

    incomplete market; Information; asymmetric information; option pricing; martin-gales; Insider trading; complete market ·;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:hal-01998386. 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.