Limit Order Books

Frederic Abergel is Professor and Chair of Quantitative Finance, CentraleSupélec, France. He holds a PhD in Mathematics from the Université Paris-Sud. He began his career as a CNRS scientist at the Université Paris-Sud and gained several years of industrial experience in investment banking at BNP Paribas, CAI Cheuvreux, Barclays Capital and Natixis CIB. His areas of research include financial markets, pricing and hedging of derivatives, quantitative finance and empirical properties of financial data. Marouane Anane is a Quantitative Analyst at BNP Paribas, Paris. He holds a Ph.D. in Applied Mathematics from the École Centrale Paris. His research interests include market-making strategies, price dynamics and automated technical analysis. Anirban Chakraborti is Professor and Dean of the School of Computational and Integrative Sciences, Jawaharlal Nehru University. He holds a Ph.D. in Physics from the Saha Institute of Nuclear Physics. He has held several academic and research positions at the Saha Institute of Nuclear Physics, the Helsinki University of Technology, Brookhaven National Laboratory, Banaras Hindu University and the École Centrale Paris. In 2009, he received the Young Scientist Medal from the Indian National Science Academy. His areas of research include econophysics, statistical physics and quantum physics. Aymen Jedidi is a Quantitative Analyst at HSBC Bank, Paris. He holds a Ph.D. in Applied Mathematics from the École Centrale Paris. His research interests are quantitative risk management and stochastic order book modelling. Ioane Muni Toke is Associate Professor and Dean of Studies at the Université de la Nouvelle-Calédonie, New Caledonia. He holds a Ph.D. in Applied Mathematics from the École Centrale Paris. He has held academic and research positions at the École Centrale Paris and the University of Texas, Dallas. His research interests include financial markets modelling and microstructure, quantitative finance, statistical finance, applied mathematics and applied probability.

• Foreword; Preface; Acknowledgements; List of tables; List of figures; 1. A short introduction to limit order books; 2. Statistical properties of limit order books: a survey; 3. The order book shape as a function of the average size of limit orders; 4. Empirical evidence of market making and market taking; 5. Agent-based modelling of limit order books: a survey; 6. The mathematical structure of zero-intelligence limit order book models; 7. The order book as a queueing system; 8. Advanced modelling of limit order books; 9. Numerical simulation of limit order books; 10. Market imperfection and predictability; Appendix A. A catalogue of order types on financial markets; Appendix B. Limit order book data; Appendix C. Some useful mathematical notions; Appendix D. Comparison of various prediction methods; Bibliography; Index.