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Weak Insider Trading and Behavioral Finance

Author

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  • Luciano Campi

    (FiME Lab - Laboratoire de Finance des Marchés d'Energie - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CREST - EDF R&D - EDF R&D - EDF - EDF, CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

  • Matteo del Vigna

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique, DipStat - Department of Statistics and Applied Mathematics - University of Pisa - Università di Pisa)

Abstract

In this paper, we study the optimal portfolio selection problem for weakly informed traders in the sense of Baudoin (2002). Apart from expected utility maximizers, we consider investors with other preference paradigms. In particular, we consider agents following cumulative prospect theory as developed by Tversky and Kahneman (1992) as well as Yaari's dual theory of choice (Yaari (1987)). We solve the corresponding optimization problems, in both non-informed and informed case, i.e. when the agent has an additional weak information. Finally, comparison results among investors with different preferences and information sets are given, together with explicit examples. In particular, the insider's gain, i.e. the difference between the optimal values of an informed and a non informed investor, is explicitly computed.

Suggested Citation

  • Luciano Campi & Matteo del Vigna, 2011. "Weak Insider Trading and Behavioral Finance," Working Papers hal-00566185, HAL.
    • Handle: RePEc:hal:wpaper:hal-00566185
    Note: View the original document on HAL open archive server: https://hal.science/hal-00566185v3
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    References listed on IDEAS

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    1. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    2. Hanqing Jin & Zuo Quan Xu & Xun Yu Zhou, 2008. "A Convex Stochastic Optimization Problem Arising From Portfolio Selection," Mathematical Finance, Wiley Blackwell, vol. 18(1), pages 171-183, January.
    3. Hanqing Jin & Xun Yu Zhou, 2008. "Behavioral Portfolio Selection In Continuous Time," Mathematical Finance, Wiley Blackwell, vol. 18(3), pages 385-426, July.
    4. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    5. Fabrice Baudoin & Laurent Nguyen-Ngoc, 2004. "The financial value of a weak information on a financial market," Finance and Stochastics, Springer, vol. 8(3), pages 415-435, August.
    6. Baudoin, Fabrice, 0. "Conditioned stochastic differential equations: theory, examples and application to finance," Stochastic Processes and their Applications, Elsevier, vol. 100(1-2), pages 109-145, July.
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    Cited by:

    1. Laurence Carassus & Mikl'os R'asonyi & Andrea M. Rodrigues, 2015. "Non-concave utility maximisation on the positive real axis in discrete time," Papers 1501.03123, arXiv.org, revised Apr 2015.

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