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Containing many results that are new or exist only in recent research articles, Interest Rate Modeling: Theory and Practice portrays the theory of interest rate modeling as a three-dimensional object of finance, mathematics, and computation.
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Containing many results that are new, or which exist only in recent research articles, this thoroughly revised third edition of Interest Rate Modeling: Theory and Practice, Third Edition portrays the theory of interest rate modeling as a three-dimensional object of finance, mathematics, and computation. It introduces all models with financial-economical justifications, develops options along the martingale approach, and handles option evaluations with precise numerical methods.FeaturesPresents a complete cycle of model construction and applications, showing readers how to build and use modelsProvides a systematic treatment of intriguing industrial issues, such as volatility smiles and correlation adjustmentsContains exercise sets and a number of examples, with many based on real market dataIncludes comments on cutting-edge research, such as volatility-smile, positive interest-rate models, and convexity adjustmentNew to the Third editionIntroduction of Fed fund market and Fed fund futuresReplacement of the forward-looking USD LIBOR by the backward-looking SOFR term rates in the market model, and the deletion of dual-curve market model developed especially for the post-crisis derivatives marketsNew chapters on LIBOR Transition and SOFR Derivatives Markets
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Containing many results that are new or exist only in recent research articles, Interest Rate Modeling: Theory and Practice portrays the theory of interest rate modeling as a three-dimensional object of finance, mathematics, and computation. It introduces all models with financial-economical justifications, develops options along the martingale approach, and handles option evaluations with precise numerical methods.The text begins with the mathematical foundations, including Ito’s calculus and the martingale representation theorem. It then introduces bonds and bond yields, followed by the Heath–Jarrow–Morton (HJM) model, which is the framework for no-arbitrage pricing models. The next chapter focuses on when the HJM model implies a Markovian short-rate model and discusses the construction and calibration of short-rate lattice models. In the chapter on the LIBOR market model, the author presents the simplest yet most robust formula for swaption pricing in the literature. He goes on to address model calibration, an important aspect of model applications in the markets; industrial issues; and the class of affine term structure models for interest rates.Taking a top-down approach, Interest Rate Modeling provides readers with a clear picture of this important subject by not overwhelming them with too many specific models. The text captures the interdisciplinary nature of the field and shows readers what it takes to be a competent quant in today’s market.This book can be adopted for instructional use. For this purpose, a solutions manual is available for qualifying instructors.