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Asymmetric Information In A Financial Market With Jumps

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  • AXEL GRORUD

    (L.A.T.P., Université de Provence, 39 rue Joliot-Curie, F13453 MARSEILLE cedex 13, France)

Abstract

This paper uses the enlargement of filtrations to analyze the financial strategy of an insider trader in a discontinuous time market where prices are driven by a Brownian motion and a compound Poisson process. We compare this strategy with that of a non-insider trader. The market is a chosen viable and complete; we can give an explicit expression of the optimal portfolio of the insider trader.On considère un marché financier dont les prix sont dirigés par un mouvement brownien et un processus de Poisson multivarié. Dans ce cadre le marché peut être complet et viable. Nous étudions la stratégie financière d'un agent qui a une information anticipant l'évolution du marché et nous la comparons un agent qui n'a pas cette information. La complétude du marché permet d'expliciter le portefeuille optimal de l'agent initié. Le grossissement de filtration permet de replacer une équation anticipante dans un cadre adapté.

Suggested Citation

  • Axel Grorud, 2000. "Asymmetric Information In A Financial Market With Jumps," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 3(04), pages 641-659.
    • Handle: RePEc:wsi:ijtafx:v:03:y:2000:i:04:n:s0219024900000802
    DOI: 10.1142/S0219024900000802
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    Cited by:

    1. 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.
    2. Kohatsu-Higa, Arturo & Yamazato, Makoto, 2008. "Enlargement of filtrations with random times for processes with jumps," Stochastic Processes and their Applications, Elsevier, vol. 118(7), pages 1136-1158, July.
    3. 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.
    4. 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.
    5. Buckley, Winston S. & Long, Hongwei, 2015. "A discontinuous mispricing model under asymmetric information," European Journal of Operational Research, Elsevier, vol. 243(3), pages 944-955.
    6. 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.
    7. Luke M. Bennett & Wei Hu, 2023. "Filtration enlargement‐based time series forecast in view of insider trading," Journal of Economic Surveys, Wiley Blackwell, vol. 37(1), pages 112-140, February.

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