Interest Rate Modeling. Volume 1 Foundations and Vanilla Models

Table of contents for all three volumes (full details at andersen-piterbarg-book.com)

Volume I. Foundations and Vanilla Models

      Part I. Foundations

• Introduction to Arbitrage Pricing Theory
• Finite Difference Methods
• Monte Carlo Methods
• Fundamentals of Interest Rate Modelling
• Fixed Income Instruments

      Part II. Vanilla Models

• Yield Curve Construction and Risk Management
• Vanilla Models with Local Volatility
• Vanilla Models with Stochastic Volatility I
• Vanilla Models with Stochastic Volatility II 

Volume II. Term Structure Models

      Part III. Term Structure Models

• One-Factor Short Rate Models I
• One-Factor Short Rate Models II
• Multi-Factor Short Rate Models
• The Quasi-Gaussian Model with Local and Stochastic Volatility
• The Libor Market Model I
• The Libor Market Model II

Volume III. Products and Risk Management

      Part IV. Products

• Single-Rate Vanilla Derivatives
• Multi-Rate Vanilla Derivatives
• Callable Libor Exotics
• Bermudan Swaptions 
• TARNs, Volatility Swaps, and Other Derivatives
• Out-of-Model Adjustments

      Part V. Risk management

• Fundamentals of Risk Management  
• Payoff Smoothing and Related Methods 
• Pathwise Differentiation 
• Importance Sampling and Control Variates 
• Vegas in Libor Market Models 

      Appendix

• Markovian Projection 

Leif B.G. Andersen is a Managing Director and the Co-Head of the Global Quantitative Group at Bank of America Merrill Lynch, and is an adjunct professor at NYU's Courant Institute of Mathematical Sciences. He holds MS degrees in Electrical and Mechanical Engineering from the Technical University of Denmark, an MBA from University of California at Berkeley, and a PhD in Finance from Aarhus Business School. He was the recipient of Risk Magazine's 2001 Quant of the Year Award, and has worked since 1993 as a quantitative researcher in the derivatives pricing area. He has authored many influential research papers in all areas of quantitative finance, and is an associate editor of the Journal of Computational Finance. Vladimir V. Piterbarg is a Managing Director and the Global Head of the Quantitative Analytics group at Barclays Capital, and has worked since 1997 as an interest rate quant at top investment banks. He taught at the University of Chicago Mathematical Finance program for a number of years, and is a prolific and respected researcher in the area of interest rate modeling. He won Risk Magazine's 2006 Quant of the Year Award, and holds a PhD in Mathematics (Probability Theory) from the University of Southern California. He serves as an associate editor of the Journal of Computational Finance.