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Transmission of Trading Orders through Communication Line with Relativistic Delay

Author

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  • Peter B. Lerner

    (Anglo-American University, Letenská 120/5, 118 00 Malá Strana, Czech Republic
    Device Consultants, LLC, Woodland Drive, State College, PA 16804, USA)

Abstract

The notion of “relativistic finance” became ingrained in the public imagination and has been asserted in many mass-media reports. However, despite an observed drive of the most reputable Wall Street firms to establish their servers ever closer to the trading hubs, there is surprisingly little concrete information related to the relativistic delay of the trading orders. There is an underlying assumption that faster electronics are always beneficial to the stability of the network. In this paper, the author proposes a modified M/M/G queue theory to describe the propagation of the trading signal with finite velocity. Based on this theory, we demonstrate that, even if the reaction time of the system is negligible, the propagating signal is distorted by simple acts of trading along the transmission line.

Suggested Citation

  • Peter B. Lerner, 2021. "Transmission of Trading Orders through Communication Line with Relativistic Delay," IJFS, MDPI, vol. 9(1), pages 1-11, February.
    • Handle: RePEc:gam:jijfss:v:9:y:2021:i:1:p:12-:d:506473
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    References listed on IDEAS

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    1. Jovanovic, Franck & Mantegna, Rosario N. & Schinckus, Christophe, 2019. "When financial economics influences physics: The role of Econophysics," International Review of Financial Analysis, Elsevier, vol. 65(C).
    2. Yoshihiro Yura & Hideki Takayasu & Didier Sornette & Misako Takayasu, 2014. "Financial Brownian Particle in the Layered Order Book Fluid and Fluctuation-Dissipation Relations," Swiss Finance Institute Research Paper Series 14-06, Swiss Finance Institute.
    3. Bartlett, Robert P. & McCrary, Justin, 2019. "How rigged are stock markets? Evidence from microsecond timestamps," Journal of Financial Markets, Elsevier, vol. 45(C), pages 37-60.
    4. Yoshihiro Yura & Hideki Takayasu & Didier Sornette & Misako Takayasu, 2014. "Financial Brownian particle in the layered order book fluid and Fluctuation-Dissipation relations," Papers 1401.8065, arXiv.org.
    5. Yoshihiro Yura & Hideki Takayasu & Didier Sornette & Misako Takayasu, 2015. "Financial Knudsen number: breakdown of continuous price dynamics and asymmetric buy and sell structures confirmed by high precision order book information," Papers 1508.06024, arXiv.org.
    6. James J. Angel & Lawrence E. Harris & Chester S. Spatt, 2015. "Equity Trading in the 21st Century: An Update," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 5(01), pages 1-39.
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