Author: Riccardo Rebonato
Publisher: Princeton University Press
ISBN: 1400829321
Category : Business & Economics
Languages : en
Pages : 486
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Book Description
In recent years, interest-rate modeling has developed rapidly in terms of both practice and theory. The academic and practitioners' communities, however, have not always communicated as productively as would have been desirable. As a result, their research programs have often developed with little constructive interference. In this book, Riccardo Rebonato draws on his academic and professional experience, straddling both sides of the divide to bring together and build on what theory and trading have to offer. Rebonato begins by presenting the conceptual foundations for the application of the LIBOR market model to the pricing of interest-rate derivatives. Next he treats in great detail the calibration of this model to market prices, asking how possible and advisable it is to enforce a simultaneous fitting to several market observables. He does so with an eye not only to mathematical feasibility but also to financial justification, while devoting special scrutiny to the implications of market incompleteness. Much of the book concerns an original extension of the LIBOR market model, devised to account for implied volatility smiles. This is done by introducing a stochastic-volatility, displaced-diffusion version of the model. The emphasis again is on the financial justification and on the computational feasibility of the proposed solution to the smile problem. This book is must reading for quantitative researchers in financial houses, sophisticated practitioners in the derivatives area, and students of finance.
Author: J Hamish M Darbyshire
Publisher: Aitch & Dee Limited
ISBN: 9780995455535
Category :
Languages : en
Pages : 0
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Book Description
The most professional and industry relatable text currently available for linear interest rate derivatives. Written by a practicing derivatives portfolio manager with over fifteen years of fixed income trading experience, this book focuses on core trading concepts; pricing, curve building (single and multi-currency), risk, credit and CSAs, regulations, VaR and PCA, volatility, cross-gamma, trade strategy analysis and market moving influences. The book's focus is interest rate swaps and cross-currency swaps, updated for a risk free rate (RFR, such as SOFR and ESTR) framework as opposed to LIBOR. Topics are presented from that perspective, outlining the importance of regulations in an IRD capacity, with volatility and swaptions taught from a practical point of view rather than an overly cumbersome academic one. This third edition (2022) markedly expands the second edition (2017), by not only providing extensive analysis but also building up a modern codebase, step-by-step, in Python. It constructs and solves interest rate curves and goes on to implement risk and cross-gamma calculations, demonstrating the implementation of automatic differentiation for superior efficiency. Read more at https: //github.com/attack68/book_irds3. The treatment of risk is expansive and thorough. The author formally analyses modern market-maker techniques to accurately predict PnL, and successfully implement multiple, consistent perspectives to view all details of risks. Almost everything included here is compulsory knowledge for a modern, successful, swaps trader or interest rate risk portfolio manager. Certainly this book sets the benchmark for the level of expertise that swaps traders should strive for, and the style is aimed at the novice and professional alike.
Author: Roland Lichters
Publisher: Springer
ISBN: 1137494840
Category : Business & Economics
Languages : en
Pages : 569
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Book Description
This book provides a comprehensive guide for modern derivatives pricing and credit analysis. Written to provide sound theoretical detail but practical implication, it provides readers with everything they need to know to price modern financial derivatives and analyze the credit exposure of a financial instrument in today's markets.
Author: Riccardo Rebonato
Publisher: John Wiley & Sons
ISBN: 1119995639
Category : Business & Economics
Languages : en
Pages : 308
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Book Description
This book presents a major innovation in the interest rate space. It explains a financially motivated extension of the LIBOR Market model which accurately reproduces the prices for plain vanilla hedging instruments (swaptions and caplets) of all strikes and maturities produced by the SABR model. The authors show how to accurately recover the whole of the SABR smile surface using their extension of the LIBOR market model. This is not just a new model, this is a new way of option pricing that takes into account the need to calibrate as accurately as possible to the plain vanilla reference hedging instruments and the need to obtain prices and hedges in reasonable time whilst reproducing a realistic future evolution of the smile surface. It removes the hard choice between accuracy and time because the framework that the authors provide reproduces today's market prices of plain vanilla options almost exactly and simultaneously gives a reasonable future evolution for the smile surface. The authors take the SABR model as the starting point for their extension of the LMM because it is a good model for European options. The problem, however with SABR is that it treats each European option in isolation and the processes for the various underlyings (forward and swap rates) do not talk to each other so it isn't obvious how to relate these processes into the dynamics of the whole yield curve. With this new model, the authors bring the dynamics of the various forward rates and stochastic volatilities under a single umbrella. To ensure the absence of arbitrage they derive drift adjustments to be applied to both the forward rates and their volatilities. When this is completed, complex derivatives that depend on the joint realisation of all relevant forward rates can now be priced. Contents THE THEORETICAL SET-UP The Libor Market model The SABR Model The LMM-SABR Model IMPLEMENTATION AND CALIBRATION Calibrating the LMM-SABR model to Market Caplet prices Calibrating the LMM/SABR model to Market Swaption Prices Calibrating the Correlation Structure EMPIRICAL EVIDENCE The Empirical problem Estimating the volatility of the forward rates Estimating the correlation structure Estimating the volatility of the volatility HEDGING Hedging the Volatility Structure Hedging the Correlation Structure Hedging in conditions of market stress
Author: Robert A Jarrow
Publisher: World Scientific
ISBN: 9814470635
Category : Business & Economics
Languages : en
Pages : 609
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Book Description
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 Heath-Jarrow-Morton (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.
Author: Rudi Zagst
Publisher: Springer Science & Business Media
ISBN: 3662121069
Category : Business & Economics
Languages : en
Pages : 349
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Book Description
This book combines a rigorous overview of the mathematics of financial markets with an insight into the practical application of these models to the risk and portfolio management of interest-rate derivatives. It can also serve as a valuable textbook on financial markets for graduate and PhD students in mathematics. Interesting and comprehensive case studies illustrate the theoretical concepts.
Author: Amir Sadr
Publisher: John Wiley & Sons
ISBN: 0470443944
Category : Business & Economics
Languages : en
Pages : 276
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Book Description
An up-to-date look at the evolution of interest rate swaps and derivatives Interest Rate Swaps and Derivatives bridges the gap between the theory of these instruments and their actual use in day-to-day life. This comprehensive guide covers the main "rates" products, including swaps, options (cap/floors, swaptions), CMS products, and Bermudan callables. It also covers the main valuation techniques for the exotics/structured-notes area, which remains one of the most challenging parts of the market. Provides a balance of relevant theory and real-world trading instruments for rate swaps and swap derivatives Uses simple settings and illustrations to reveal key results Written by an experienced trader who has worked with swaps, options, and exotics With this book, author Amir Sadr shares his valuable insights with practitioners in the field of interest rate derivatives-from traders and marketers to those in operations.
Author: Christian Crispoldi
Publisher: Springer
ISBN: 1137378646
Category : Business & Economics
Languages : en
Pages : 274
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Book Description
Interest rate traders have been using the SABR model to price vanilla products for more than a decade. However this model suffers however from a severe limitation: its inability to value exotic products. A term structure model à la LIBOR Market Model (LMM) is often employed to value these more complex derivatives, however the LMM is unable to capture the volatility smile. A joint SABR LIBOR Market Model is the natural evolution towards a consistent pricing of vanilla and exotic products. Knowledge of these models is essential to all aspiring interest rate quants, traders and risk managers, as well an understanding of their failings and alternatives. SABR and SABR Libor Market Models in Practice is an accessible guide to modern interest rate modelling. Rather than covering an array of models which are seldom used in practice, it focuses on the SABR model, the market standard for vanilla products, the LIBOR Market Model, the most commonly used model for exotic products and the extended SABR LIBOR Market Model. The book takes a hands-on approach, demonstrating simply how to implement and work with these models in a market setting. It bridges the gap between the understanding of the models from a conceptual and mathematical perspective and the actual implementation by supplementing the interest rate theory with modelling specific, practical code examples written in Python.
Author: Gerald W. Buetow
Publisher: John Wiley & Sons
ISBN: 9781883249892
Category : Business & Economics
Languages : en
Pages : 258
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Book Description
Among the major innovations in the financial markets have been interest rate swaps and swapations, instruments which entail having an arrangement to barter differently structured payment flows for a particular period of time. These instruments have furnished portfolio and risk managers and corporate treasurers with a better tool for controlling interest rate risk. Valuation of Interest Rate Swaps and Swapations explains how interest rate swaps are valued and the factors that affect their value-an ideal way to manage interest or income payments. Various valuations approaches and models are covered, with special end-of-chapter questions and solutions included.
Author: Leif B. G. Andersen
Publisher:
ISBN: 9780984422104
Category : Business & Economics
Languages : en
Pages : 1154
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Book Description
"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.
