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

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

• 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

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

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

• Markovian Projection