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The insider trading problem in a jump-binomial model

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  • Hélène Halconruy

    (Léonard de Vinci Pôle universitaire, Research Center
    Laboratoire Modal’X, Université Paris Nanterre)

Abstract

We study insider trading in a jump-binomial model of the financial market that is based on a marked binomial process and that serves as a suitable alternative to some classical trinomial models. Our investigations focus on the two main questions: measuring the advantage of the insider’s additional information and stating a closed form for her hedging strategy. Our approach is based on the results of enlargement of filtration in a discrete-time setting stated by Blanchet-Scalliet and Jeanblanc (in: From probability to finance, Springer, Berlin, 2020) and on a stochastic analysis for marked binomial processes developed in the companion paper (Halconruy in Electron J Probab 27:1–39, 2022). Our work provides in a discrete-time and an incomplete market setting the analogues of some results of Amendinger et al. (Stoch Process Appl 89(1):101–116, 2000; Finance Stoch 7(1):29–46, 2003), Imkeller et al. (1998, 2006) and extends in an insider framework some utility maximization results stated in Delbaen and Schachermayer (The mathematics of arbitrage, Springer, Berlin, 2006) and in Runggaldier et al. (in: Seminar on stochastic analysis, random fields and applications III, Springer, Berlin, 2002).

Suggested Citation

  • Hélène Halconruy, 2023. "The insider trading problem in a jump-binomial model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(2), pages 379-413, December.
    • Handle: RePEc:spr:decfin:v:46:y:2023:i:2:d:10.1007_s10203-023-00412-2
    DOI: 10.1007/s10203-023-00412-2
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    More about this item

    Keywords

    Insider trading; Trinomial model; Enlargement of filtrations; Malliavin’s calculus; Utility maximization;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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