Preface; Acknowledgements; 1. Risk; 2. Pricing methodologies and arbitrage; 3. Trees and option pricing; 4. Practicalities; 5. The Ito calculus; 6. Risk neutrality and martingale measures; 7. The practical pricing of a European option; 8. Continuous barrier options; 9. Multi-look exotic options; 10. Static replication; 11. Multiple sources of risk; 12. Options with early exercise features; 13. Interest rate derivatives; 14. The pricing of exotic interest rate derivatives; 15. Incomplete markets and jump-diffusion processes; 16. Stochastic volatility; 17. Variance gamma models; 18. Smile dynamics and the pricing of exotic options; Appendix A. Financial and mathematical jargon; Appendix B. Computer projects; Appendix C. Elements of probability theory; Appendix D. Hints and answers to exercises; Bibliography; Index.