English

Dynamics of Order Positions and Related Queues in a Limit Order Book

Trading and Market Microstructure 2015-10-14 v2 Mathematical Finance

Abstract

Order positions are key variables in algorithmic trading. This paper studies the limiting behavior of order positions and related queues in a limit order book. In addition to the fluid and diffusion limits for the processes, fluctuations of order positions and related queues around their fluid limits are analyzed. As a corollary, explicit analytical expressions for various quantities of interests in a limit order book are derived.

Keywords

Cite

@article{arxiv.1505.04810,
  title  = {Dynamics of Order Positions and Related Queues in a Limit Order Book},
  author = {Xin Guo and Zhao Ruan and Lingjiong Zhu},
  journal= {arXiv preprint arXiv:1505.04810},
  year   = {2015}
}

Comments

42 pages, 2 figures