A stochastic model for order book dynamics

Operations Research

Volumn 58, Issue 3, 2010, Pages 549-563

  Cont, Rama ^a   Stoikov, Sasha ^b   Talreja, Rishi ^a  

^a Department of Earth and Environmental Sciences   (United States)

^b School of Operations Research and Industrial Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL TRACTABILITY; CONTINUOUS TIME; EMPIRICAL PROPERTIES; FAST COMPUTATION; HIGH FREQUENCY DATA; HIGH FREQUENCY HF; LAPLACE TRANSFORM METHOD; LIMIT ORDER BOOK; MATRIX COMPUTATION; ORDER BOOK; TOKYO STOCK EXCHANGE; TRADING STRATEGIES;

COMPUTER SIMULATION; DYNAMICS; FREQUENCY ESTIMATION; LAPLACE TRANSFORMS; MATRIX ALGEBRA; PARAMETER ESTIMATION; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; WAVELET TRANSFORMS;

CORRELATION THEORY;

EID: 77953582022     PISSN: 0030364X     EISSN: 15265463     Source Type: Journal    
DOI: 10.1287/opre.1090.0780     Document Type: Article

References (19)

1. Abate, J., W. Whitt. 1992. The Fourier-series method for inverting transforms of probability distributions. Queueing Systems 10 5-88.
2. Abate, J., W. Whitt. 1995. Numerical inversion of Laplace transforms of probability distributions. ORSA J. Comput. 7(1) 36-43.
3. Abate, J., W. Whitt. 1999. Computing Laplace transforms for numerical inversion via continued fractions. INFORMS J. Comput. 11(4) 394-405.
4. Alfonsi, A., A. Schied, A. Schulz. 2010. Optimal execution strategies in limit order books with general shape functions. Quant. Finance 10(2) 143-157.
5. Asmussen, S. 2003. Applied Probability and Queues. Springer-Verlag, New York.
6. Bouchaud, J.-P., D. Farmer, F. Lillo. 2008. How markets slowly digest changes in supply and demand. T. Hens, K. Schenk-Hoppe, eds. Handbook of Financial Markets: Dynamics and Evolution. North-Holland Publishers, Amsterdam, 57-160.
7. Bouchaud, J.-P., M. Mézard, M. Potters. 2002. Statistical properties of stock order books: Empirical results and models. Quant. Finance 2 251-256.
8. Bovier, A., J. Černý, O. Hryniv. 2006. The opinion game: Stock price evolution from microscopic market modelling. Internat. J. Theoret. Appl. Finance 9 91-111.
9. Farmer, J. D., L. Gillemot, F. Lillo, S. Mike, A. Sen. 2004. What really causes large price changes? Quant. Finance 4 383-397.
10. Foucault, T., O. Kadan, E. Kandel. 2005. Limit order book as a market for liquidity. Rev. Financial Stud. 18(4) 1171-1217.
11. Hollifield, B., R. A. Miller, P. Sandas. 2004. Empirical analysis of limit order markets. Rev. Econom. Stud. 71(4) 1027-1063.
12. Luckock, H. 2003. A steady-state model of the continuous double auction. Quant. Finance 3 385-404.
13. Maslov, S., M. Mills. 2001. Price fluctuations from the order book perspective-Empirical facts and a simple model. PHYSICA A 299 234-246.
14. Obizhaeva, A., J. Wang. 2006. Optimal trading strategy and supply/demand dynamics. Working paper, Massachusetts Institute of Technology, Cambridge, MA.
15. Parlour, Ch. A. 1998. Price dynamics in limit order markets. Rev. Financial Stud. 11(4) 789-816.
16. Ross, S. 1996. Stochastic Processes. John Wiley & Sons, New York.
17. Rosu, I. 2009. A dynamic model of the limit order book. Rev. Financial Stud. 22 4601-4641.
18. Smith, E., J. D. Farmer, L. Gillemot, S. Krishnamurthy. 2003. Statistical theory of the continuous double auction. Quant. Finance 3(6) 481-514.
19. Zovko, I., J. D. Farmer. 2002. The power of patience; A behavioral regularity in limit order placement. Quant. Finance 2 387-392.