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Strategic Insider Trading Equilibrium: A Filter Theory Approach

Author

Listed:
  • Aase, Knut K.

    () (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)

  • Bjuland, Terje

    () (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)

  • Øksendal, Bernt

    (Department of Mathematics, University of Oslo)

Abstract

The continuous-time version of Kyle's (1985) model of asset pricing with asymmetric information is studied, and generalized in various directions, i.e., by allowing time-varying liquidity trading, and by having weaker a priori assumptions on the model. This extension is made possible by the use of filtering theory. We derive the optimal trade for an insider and the corresponding price of the risky asset; the insider's trading intensity satisfies a deterministic integral equation, given perfect inside information.

Suggested Citation

  • Aase, Knut K. & Bjuland, Terje & Øksendal, Bernt, 2010. "Strategic Insider Trading Equilibrium: A Filter Theory Approach," Discussion Papers 2010/9, Norwegian School of Economics, Department of Business and Management Science.
  • Handle: RePEc:hhs:nhhfms:2010_009
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    File URL: http://hdl.handle.net/11250/164140
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    References listed on IDEAS

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    1. Ljungqvist, Alexander P. & Wilhelm, William Jr., 2002. "IPO allocations: discriminatory or discretionary?," Journal of Financial Economics, Elsevier, vol. 65(2), pages 167-201, August.
    2. Bradley, Daniel J. & Jordan, Bradford D., 2002. "Partial Adjustment to Public Information and IPO Underpricing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(04), pages 595-616, December.
    3. Tim Jenkinson & Howard Jones, 2004. "Bids and Allocations in European IPO Bookbuilding," Journal of Finance, American Finance Association, vol. 59(5), pages 2309-2338, October.
    4. Kenji Kutsuna & Janet Kiholm Smith & Richard L. Smith, 2009. "Public Information, IPO Price Formation, and Long-Run Returns: Japanese Evidence," Journal of Finance, American Finance Association, vol. 64(1), pages 505-546, February.
    5. Sherman, Ann E., 2005. "Global trends in IPO methods: Book building versus auctions with endogenous entry," Journal of Financial Economics, Elsevier, vol. 78(3), pages 615-649, December.
    6. Hanley, Kathleen Weiss, 1993. "The underpricing of initial public offerings and the partial adjustment phenomenon," Journal of Financial Economics, Elsevier, vol. 34(2), pages 231-250, October.
    7. Lawrence M. Benveniste & Alexander Ljungqvist & William J. Wilhelm & Xiaoyun Yu, 2003. "Evidence of Information Spillovers in the Production of Investment Banking Services," Journal of Finance, American Finance Association, vol. 58(2), pages 577-608, April.
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    Cited by:

    1. Jos'e Manuel Corcuera & Giulia Di Nunno & Gergely Farkas & Bernt {O}ksendal, 2014. "A continuous auction model with insiders and random time of information release," Papers 1411.2835, arXiv.org, revised Feb 2016.
    2. Christoph Kuhn & Matthias Riedel, 2012. "Price-Setting of Market Makers: A Filtering Problem with an Endogenous Filtration," Papers 1210.4000, arXiv.org.
    3. Aase, Knut K. & Gjesdal, Frøystein, 2016. "Insider trading with non-fiduciary market makers," Discussion Papers 2016/8, Norwegian School of Economics, Department of Business and Management Science.
    4. Aase, Knut K. & Bjuland, Terje & Øksendal, Bernt, 2011. "Insider trading with partially informed traders," Discussion Papers 2011/21, Norwegian School of Economics, Department of Business and Management Science.

    More about this item

    Keywords

    Insider trading; equilibrium; strategic trade; linear filter theory; innovation equation;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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