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 MethodsMonte Carlo MethodsFundamentals of Interest Rate ModellingFixed Income Instruments Part II. Vanilla ModelsYield Curve Construction and Risk ManagementVanilla Models with Local VolatilityVanilla 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 IOne-Factor Short Rate Models IIMulti-Factor Short Rate ModelsThe Quasi-Gaussian Model with Local and Stochastic VolatilityThe Libor Market Model IThe Libor Market Model IIVolume III. Products and Risk Management Part IV. ProductsSingle-Rate Vanilla DerivativesMulti-Rate Vanilla DerivativesCallable Libor ExoticsBermudan 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 v. 1. Foundations and vanilla models: Introduction to arbitrage pricing theory ; Finite difference methods ; Monte Carlo methods ; Fundamentals of interest rate modeling ; 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 v. 2. Term structure models: One-factor short rate models I ; One-factor short rate models II ; Multi-factor short rate models ; The quasi-Gaussian model ; The Libor market model I ; The Libor market model II v. 3. Products and risk management: Single-rate vanilla derivatives ; Multi-rate vanilla derivatives ; Callable Libor exotics ; Bermudan swaptions ; TARNs, volatility swaps, and other derivatives ; Out-of-model adjustments ; Introduction to risk management ; Payoff smoothing and related methods ; Pathwise differentiation ; Importance sampling and control variates ; Vegas in Libor market models Appendix: Markovian projection. Scope and content: "The three volumes of Interest rate modeling are aimed primarily at practitioners working in the area of interest rate derivatives, but much of the material is quite general and, we believe, will also hold significant appeal to researchers working in other asset classes. Students and academics interested in financial engineering and applied work will find the material particularly useful for its description of real-life model usage and for its expansive discussion of model calibration, approximation theory, and numerical methods."--Preface "The three volumes of Interest rate modeling are aimed primarily at practitioners working in the area of interest rate derivatives, but much of the material is quite general and, we believe, will also hold significant appeal to researchers working in other asset classes. Students and academics interested in financial engineering and applied work will find the material particularly useful for its description of real-life model usage and for its expansive discussion of model calibration, approximation theory, and numerical methods." --Prefacio Table of contents for all three volumes (full details at andersen-piterbarg-book.com) Volume I. Foundations and Vanilla Models Part I. Foundations Part II. Vanilla Models Volume II. Term Structure Models Part III. Term Structure Models Volume III. Products and Risk Management Part IV. Products Part V. Risk management Appendix