This book introduces the mathematics of stochastic interest rate modeling and the pricing of related derivatives, based on a step-by-step presentation of concepts with a focus on explicit calculations. The types of interest rates considered range from short rates to forward rates such as LIBOR and swap rates, which are presented in the HJM and BGM frameworks. The pricing and hedging of interest rate and fixed income derivatives such as bond options, caps, and swaptions, are treated using forward measure techniques. An introduction to default bond pricing and an outlook on model calibration are also included as additional topics.This third edition represents a significant update on the second edition published by World Scientific in 2012. Most chapters have been reorganized and largely rewritten with additional details and supplementary solved exercises. New graphs and simulations based on market data have been included, together with the corresponding R codes.This new edition also contains 75 exercises and 4 problems with detailed solutions, making it suitable for advanced undergraduate and graduate level students.

The third edition updates the text in two significant ways. First, it updates the presentation to reflect changes that have occurred in financial markets since the publication of the 2nd edition. One such change is with respect to the over-the-counter interest rate derivatives markets and the abolishment of LIBOR as a reference rate. Second, it updates the theory to reflect new research related to asset price bubbles and the valuation of options. Asset price bubbles are a reality in financial markets and their impact on derivative pricing is essential to understand. This is the only introductory textbook that contains these insights on asset price bubbles and options.

This book presents new approaches to fixed income modeling and portfolio management techniques. Taking into account the latest mathematical and econometric developments in finance, it analyzes the hedging securities and structured instruments that are offered by banks, since recent research in the field of fixed incomes and financial markets has raised awareness for changes in market risk management strategies. The book offers a valuable resource for all researchers and practitioners interested in the theory behind fixed income instruments, and in their applications in financial portfolio management.

Fixed Income Modelling offers a unified presentation of dynamic term structure models and their applications to the pricing and risk management of fixed income securities. It explains the basic fixed income securities and their properties and uses as well as the relations between those securities. The book presents and compares the classical affine models, Heath-Jarrow-Morton models, and LIBOR market models, and demonstrates how to apply those models for the pricing of various widely traded fixed income securities. It offers a balanced presentation with both formal mathematical modelling and economic intuition and understanding. The book has a number of distinctive features including a thorough and accessible introduction to stochastic processes and the stochastic calculus needed for the modern financial modelling approach used in the book, as well as a separate chapter that explains how the term structure of interest rates relates to macro-economic variables and to what extent the concrete interest rate models are founded in general economic theory. The book focuses on the most widely used models and the main fixed income securities, instead of trying to cover all the many specialized models and the countless exotic real-life products. The in-depth explanation of the main pricing principles, techniques, and models as well as their application to the most important types of securities will enable the reader to understand and apply other models and price other securities. The book includes chapters on interest rate risk management, credit risk, mortgage-backed securities, and relevant numerical techniques. Each chapter concludes with a number of exercises of varying complexity. Suitable for MSc students specializing in finance and economics, quantitatively oriented MBA students, and first- or second-year PhD students, this book will also be a useful reference for researchers and finance professionals and can be used in specialized courses on fixed income or broader courses on derivatives.

Written by two of the most distinguished finance scholars in the industry, this introductory textbook on derivatives and risk management is highly accessible in terms of the concepts as well as the mathematics.With its economics perspective, this rewritten and streamlined second edition textbook, is closely connected to real markets, and:Beginning at a level that is comfortable to lower division college students, the book gradually develops the content so that its lessons can be profitably used by business majors, arts, science, and engineering graduates as well as MBAs who would work in the finance industry. Supplementary materials are available to instructors who adopt this textbook for their courses. These include:Solutions Manual with detailed solutions to nearly 500 end-of-chapter questions and problemsPowerPoint slides and a Test Bank for adoptersPRICED! In line with current teaching trends, we have woven spreadsheet applications throughout the text. Our aim is for students to achieve self-sufficiency so that they can generate all the models and graphs in this book via a spreadsheet software, Priced!

Fixed Income and Interest Rate Derivative Analysis gives a clear and accessible approach to the analytical techniques of debt instrument valuation. Without using complicated mathematical abstractions, this text shows that the fundamentals of fixed income and interest rate derivate analysis can be easily understood when seen as a small number of simple economic concepts. Concepts inroduced in this book are reinforced and explained, not with the use of high-powered mathematics, but with actual examples of various market instruments and case studies from North America, Europe, Australia and Hong Kong. The text also contains review questions which aid the reader in their understanding. Mark Britten-Jones, BEcon, MA, PhD, is an Assistant Professor of Finance at the London Business School where he teaches Fixed Income Securities and Markets as part of a MBA and Master's course in Finance. A comprehensive and accessible explanation of underlying theory, and its practical application Case studies and worked examples from around the world's capital markets How to use spreadsheet modelling in fixed income and interest rate derivative valuation

This book is a collection of original papers by Robert Jarrow that contributed to significant advances in financial economics. Divided into three parts, Part I concerns option pricing theory and its foundations. The papers here deal with the famous Black-Scholes-Merton model, characterizations of the American put option, and the first applications of arbitrage pricing theory to market manipulation and liquidity risk.Part II relates to pricing derivatives under stochastic interest rates. Included is the paper introducing the famous HeathOCoJarrowOCoMorton (HJM) model, together with papers on topics like the characterization of the difference between forward and futures prices, the forward price martingale measure, and applications of the HJM model to foreign currencies and commodities.Part III deals with the pricing of financial derivatives considering both stochastic interest rates and the likelihood of default. Papers cover the reduced form credit risk model, in particular the original Jarrow and Turnbull model, the Markov model for credit rating transitions, counterparty risk, and diversifiable default risk.

This textbook will be designed for fixed-income securities courses taught on MSc Finance and MBA courses. There is currently no suitable text that offers a 'Hull-type' book for the fixed income student market. This book aims to fill this need. The book will contain numerous worked examples, excel spreadsheets, with a building block approach throughout. A key feature of the book will be coverage of both traditional and alternative investment strategies in the fixed-income market, for example, the book will cover the modern strategies used by fixed-income hedge funds. The text will be supported by a set of PowerPoint slides for use by the lecturer First textbook designed for students written on fixed-income securities - a growing market Contains numerous worked examples throughout Includes coverage of important topics often omitted in other books i.e. deriving the zero yield curve, deriving credit spreads, hedging and also covers interest rate and credit derivatives

An Introduction to the Mathematics of Financial Derivatives is a popular, intuitive text that eases the transition between basic summaries of financial engineering to more advanced treatments using stochastic calculus. Requiring only a basic knowledge of calculus and probability, it takes readers on a tour of advanced financial engineering. This classic title has been revised by Ali Hirsa, who accentuates its well-known strengths while introducing new subjects, updating others, and bringing new continuity to the whole. Popular with readers because it emphasizes intuition and common sense, An Introduction to the Mathematics of Financial Derivatives remains the only "introductory" text that can appeal to people outside the mathematics and physics communities as it explains the hows and whys of practical finance problems. - Facilitates readers' understanding of underlying mathematical and theoretical models by presenting a mixture of theory and applications with hands-on learning - Presented intuitively, breaking up complex mathematics concepts into easily understood notions - Encourages use of discrete chapters as complementary readings on different topics, offering flexibility in learning and teaching

Advances in Fixed Income Valuation Modeling and Risk Management provides in-depth examinations by thirty-one expert research and opinion leaders on topics such as: problems encountered in valuing interest rate derivatives, tax effects in U.S. government bond markets, portfolio risk management, valuation of treasury bond futures contract's embedded options, and risk analysis of international bonds.