Skip to main content
Log in

The effects of market depth on the arrival rate of orders

  • Published:
Journal of Systems Science and Complexity Aims and scope Submit manuscript

Abstract

This paper presents a model to describe the dynamic trading process in limit order book. By studying the dynamic pattern of execution probabilities of limit orders with both time and the depth of limit order book, the authors conclude with the following properties: Arrival rates of market buy orders increase as the depth of buy queue in the book increases and decrease as the depth of sell queue increases, and vice versa; similar regularities for the arrival rate of market sell orders; both the arrival rate of market buy order and market sell orders increase as the depth of both sides in the book increases by the same amount. Furthermore, the authors describe more detailed temporary and permanent effects of the market depth on the arrival rates of orders.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Harris L, Optimal dynamic order submission strategies in some stylized trading problems, Financial Markets, Institutions & Instruments, 1998, 7: 1–76.

    Article  Google Scholar 

  2. Foucault T, Order flow composition and trading costs in a dynamic limit order market, Journal of Financial Markets, 1999, 2: 99–134.

    Article  Google Scholar 

  3. Hollifield B, Miller R, and Sandas P, Empirical analysis of limit order markets, Review of Economic Studies, 2004, 71: 1027–1063.

    Article  MATH  MathSciNet  Google Scholar 

  4. Hollifield B, Miller R, Sandas P, and Slive J, Estimating the gains from trade in limit-order markets, Journal of Finance, 2006, 61: 2753–2804.

    Article  Google Scholar 

  5. Cohen K, Maier S, Schwartz R, and Whitcomb D, Transaction costs, order placement strategy, and existence of the bid-ask spread, Journal of Political Economy, 1981, 89: 287–305.

    Article  Google Scholar 

  6. Glosten L, Is the electronic open limit order book inevitable?, Journal of Finance, 1994, 49: 1127–1161.

    Article  Google Scholar 

  7. Seppi D, Liquidity provision with limit orders and a strategic specialist, Review of Financial Studies, 1997, 10: 103–150.

    Article  Google Scholar 

  8. Parlour C, Price dynamics in limit order markets, Review of Financial Studies, 1998, 11: 789–816.

    Article  Google Scholar 

  9. Goettler R, Parlour C, and Rajan U, Equilibrium in a dynamic limit order market, Journal of Finance, 2005, 60: 2149–2192.

    Article  Google Scholar 

  10. Goettler R, Parlour C, and Rajan U, Informed traders and limit order markets, Journal of Financial Economics, 2009, 93(1): 67–87.

    Article  Google Scholar 

  11. Foucault T, Kadan O, and Kandel E, The limit order book as a market for liquidity, Review of Financial Studies, 2005, 18: 1171–1217.

    Article  Google Scholar 

  12. Rosu I, Dynamic model of the limit order book, Review of Financial Studies, 2009, 22: 4601–641.

    Article  Google Scholar 

  13. Biais B, Hillon P, and Spatt C, An empirical analysis of the limit order book and the order flow in the Paris bourse, Journal of Finance, 1995, 50: 1655–1689.

    Article  Google Scholar 

  14. Griffiths M, Smith B, Turnball A, and White R, The costs and determinants of order aggressiveness, Journal of Financial Economics, 2000, 56: 65–88.

    Article  Google Scholar 

  15. Ranaldo A, Order aggressiveness in limit order book markets, Journal of Financial Markets, 2004, 7: 53–74.

    Article  Google Scholar 

  16. Dufour A and Engle R, Time and the price impact of a trade, Journal of Finance, 2000, 55: 2467–2498.

    Article  Google Scholar 

  17. Hasbrouck J, Measuring the information content of stock trades, Journal of Finance, 1991a, 46: 179–207.

    Article  Google Scholar 

  18. Hasbrouck J, The summary informativeness of stock trades: An econometric analysis, The Review of Financial Studies, 1991b, 4(3): 571–595.

    Article  Google Scholar 

  19. Furfine C, When is inter-transaction time informative?, Journal of Empirical Finance, 2007, 14: 310–332.

    Article  Google Scholar 

  20. Spierdijk L, An empirical analysis of the role of the trading intensity in information dissemination on the NYSE, Journal of Empirical Finance, 2004, 11: 163–184.

    Article  Google Scholar 

  21. Madhavan A, Richardson M, and Roomans M, Why do security prices change? A transactionlevel analysis of NYSE stocks, Review of Financial Studies, 1997, 10: 1035–1064.

    Article  Google Scholar 

  22. Engle R and Russell J, Autoregressive conditional duration: A new model for irregularly spaced transaction data, Econometrica, 1998, 66: 1127–1162.

    Article  MATH  MathSciNet  Google Scholar 

  23. Engle R F, The econometrics of Ultra high frequency data, Econometrica, 2000, 68(1): 1–22.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qiang Zhang.

Additional information

This research is supported by the National Natural Science Foundation of China under Grant Nos. 71371024, 71371023 and Fundamental Research Funds for the Central Universities under Grant No. ZZ1319.

This paper was recommended for publication by Editor WANG Shouyang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, Q., Liu, S. & Qiu, W. The effects of market depth on the arrival rate of orders. J Syst Sci Complex 27, 1192–1203 (2014). https://doi.org/10.1007/s11424-014-1247-5

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-014-1247-5

Keywords

Navigation