This 2001 handbook is a comprehensive reference work on mathematical finance, with chapters written by leading researchers.

Introduction; Part I. Option Pricing: Theory and Practice: 1. Arbitrage theory Yu. M. Kabanov; 2. Market models with frictions: arbitrage and pricing issues E. Jouini and C. Napp; 3. American options: symmetry properties J. Detemple; 4. Purely discontinuous asset price processes D. Madan; 5. Latent variable models for stochastic discount factors R. Garcia and É. Renault; 6. Monte Carlo methods for security pricing P. Boyle, M. Broadie and P. Glasserman; Part II. Interest Rate Modeling: 7. A geometric view of interest rate theory T. Bjork; 8. Towards a central interest rate model A. Brace, T. Dun and G. Barton; 9. Infinite dimensional diffusions, Kolmogorov equations and interest rate models B. Goldys and M. Musiela; 10. Libor market model with semimartingales F. Jamshidian; 11. Modeling of forward Libor and swap rates M. Rutkowski; Part III. Risk Management and Hedging: 12. Credit risk modeling, intensity based approach T. Bielecki and M. Rutkowski; 13. Towards a theory of volatility trading P. Carr and D. Madan; 14. Shortfall risk in long-term hedging with short-term futures contracts P. Glasserman; 15. Numerical comparison and local risk-minimisation and mean-variance hedging D. Heath, E. Platen and M. Schweizer; 16. A guided tour through quadratic hedging approaches M. Schweizer; Part IV. Utility Maximization: 17. Theory of portfolio optimization in markets with frictions J. Cvitanic; 18. Bayesian adaptive portfolio optimization I. Karatzas and X. Zhao.