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A Principal-Agent Model of Trading Under Market Impact -Crossing networks interacting with dealer markets-

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  • Jana Bielagk
  • Ulrich Horst
  • Santiago Moreno--Bromberg

Abstract

We use a principal-agent model to analyze the structure of a book-driven dealer market when the dealer faces competition from a crossing network or dark pool. The agents are privately informed about their types (e.g. their portfolios), which is something that the dealer must take into account when engaging his counterparties. Instead of trading with the dealer, the agents may chose to trade in a crossing network. We show that the presence of such a network results in more types being serviced by the dealer and that, under certain conditions and due to reduced adverse selection effects, the book's spread shrinks. We allow for the pricing on the dealer market to determine the structure of the crossing network and show that the same conditions that lead to a reduction of the spread imply the existence of an equilibrium book/crossing network pair.

Suggested Citation

  • Jana Bielagk & Ulrich Horst & Santiago Moreno--Bromberg, 2016. "A Principal-Agent Model of Trading Under Market Impact -Crossing networks interacting with dealer markets-," Papers 1607.04047, arXiv.org, revised Aug 2016.
    • Handle: RePEc:arx:papers:1607.04047
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    References listed on IDEAS

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    1. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(6), pages 1157-1160, December.
    2. Bruno Biais & David Martimort & Jean-Charles Rochet, 2000. "Competing Mechanisms in a Common Value Environment," Econometrica, Econometric Society, vol. 68(4), pages 799-838, July.
    3. Ulrich Horst & Santiago Moreno-Bromberg, 2010. "Efficiency and Equilibria in Games of Optimal Derivative Design," SFB 649 Discussion Papers SFB649DP2010-035, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    4. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    5. Glosten, Lawrence R, 1994. "Is the Electronic Open Limit Order Book Inevitable?," Journal of Finance, American Finance Association, vol. 49(4), pages 1127-1161, September.
    6. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(5), pages 1025-1031, October.
    7. Buti, Sabrina & Rindi, Barbara & Werner, Ingrid M., 2010. "Diving into Dark Pools," Working Paper Series 2010-10, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    8. Forsyth, P.A. & Kennedy, J.S. & Tse, S.T. & Windcliff, H., 2012. "Optimal trade execution: A mean quadratic variation approach," Journal of Economic Dynamics and Control, Elsevier, vol. 36(12), pages 1971-1991.
    9. Daniëls, Tijmen R. & Dönges, Jutta & Heinemann, Frank, 2013. "Crossing network versus dealer market: Unique equilibrium in the allocation of order flow," European Economic Review, Elsevier, vol. 62(C), pages 41-57.
    10. Haoxiang Zhu, 2014. "Do Dark Pools Harm Price Discovery?," The Review of Financial Studies, Society for Financial Studies, vol. 27(3), pages 747-789.
    11. Jim Gatheral & Alexander Schied, 2011. "Optimal Trade Execution Under Geometric Brownian Motion In The Almgren And Chriss Framework," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 353-368.
    12. Christine A. Parlour & Duane J. Seppi, 2003. "Liquidity-Based Competition for Order Flow," The Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 301-343.
    13. Alexander Schied & Torsten Schoneborn & Michael Tehranchi, 2010. "Optimal Basket Liquidation for CARA Investors is Deterministic," Applied Mathematical Finance, Taylor & Francis Journals, vol. 17(6), pages 471-489.
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