'This textbook is a welcome addition to the literature on algorithmic trading and the high-frequency markets. It fills a significant gap by bringing cutting-edge mathematical models to bear on the analysis and implementation of practical algorithms. Using a unique blend of microstructure theory, financial data analysis, and mathematical models, the authors walk the reader through the maze of the high-frequency markets, detailing how the exchanges work, and what kind of data they generate. Trading algorithms and their practical implementations are described in easy-to-understand prose, and illustrated with enlightening simulations. This text is ideal for graduate students and researchers in financial mathematics and engineering, as well as for practitioners already working in the field.' René Carmona, Princeton University
Preface; How to read this book; Part I. Microstructure and Empirical Facts: 1. Electronic markets and the limit order book; 2. A primer on the microstructure of financial markets; 3. Empirical and statistical evidence – prices and returns; 4. Empirical and statistical evidence – activity and market quality; Part II. Mathematical Tools: 5. Stochastic optimal control and stopping; Part III. Algorithmic and High-Frequency Trading: 6. Optimal execution with continuous trading I; 7. Optimal execution with continuous trading II; 8. Optimal execution with limit and market orders; 9. Targeting volume; 10. Market making; 11. Pairs trading and statistical arbitrage strategies; 12. Order imbalance; Appendix A. Stochastic calculus for finance; Bibliography; Glossary; Subject index.