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Path-dependent Kyle equilibrium model

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  • Jos'e M. Corcuera
  • Giulia Di Nunno

Abstract

We consider an auction type equilibrium model with an insider in line with the one originally introduced by Kyle in 1985 and then extended to the continuous time setting by Back in 1992. The novelty introduced with this paper is that we deal with a general price functional depending on the whole past of the aggregate demand, i.e. we work with path-dependency. By using the functional It\^o calculus, we provide necessary and sufficient conditions for the existence of an equilibrium. Furthermore, we consider both the cases of a risk-neutral and a risk-averse insider.

Suggested Citation

  • Jos'e M. Corcuera & Giulia Di Nunno, 2020. "Path-dependent Kyle equilibrium model," Papers 2006.06395, arXiv.org, revised Oct 2022.
    • Handle: RePEc:arx:papers:2006.06395
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    References listed on IDEAS

    as
    1. Back, Kerry & Pedersen, Hal, 1998. "Long-lived information and intraday patterns," Journal of Financial Markets, Elsevier, vol. 1(3-4), pages 385-402, September.
    2. Guillaume Lasserre, 2004. "Asymmetric information and imperfect competition in a continuous time multivariate security model," Finance and Stochastics, Springer, vol. 8(2), pages 285-309, May.
    3. Luciano Campi & Umut Çetin, 2007. "Insider trading in an equilibrium model with default: a passage from reduced-form to structural modelling," Finance and Stochastics, Springer, vol. 11(4), pages 591-602, October.
    4. Pierre Collin‐Dufresne & Vyacheslav Fos, 2016. "Insider Trading, Stochastic Liquidity, and Equilibrium Prices," Econometrica, Econometric Society, vol. 84, pages 1441-1475, July.
    5. repec:dau:papers:123456789/6880 is not listed on IDEAS
    6. RenÈ Caldentey & Ennio Stacchetti, 2010. "Insider Trading With a Random Deadline," Econometrica, Econometric Society, vol. 78(1), pages 245-283, January.
    7. repec:dau:papers:123456789/4436 is not listed on IDEAS
    8. José Manuel Corcuera & Giulia Nunno & José Fajardo, 2019. "Kyle equilibrium under random price pressure," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(1), pages 77-101, June.
    9. Back, Kerry, 1993. "Asymmetric Information and Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 435-472.
    10. Luciano Campi & Umut Çetin & Albina Danilova, 2013. "Equilibrium model with default and dynamic insider information," Finance and Stochastics, Springer, vol. 17(3), pages 565-585, July.
    11. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    12. José Manuel Corcuera & Giulia Di Nunno, 2018. "Kyle–Back’S Model With A Random Horizon," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 1-41, March.
    13. Kerry Back & Shmuel Baruch, 2004. "Information in Securities Markets: Kyle Meets Glosten and Milgrom," Econometrica, Econometric Society, vol. 72(2), pages 433-465, March.
    14. Back, Kerry, 1992. "Insider Trading in Continuous Time," The Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 387-409.
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