The SABR/LIBOR Market Model

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Publisher : John Wiley & Sons
ISBN 13 : 1119995639
Total Pages : 308 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis The SABR/LIBOR Market Model by : Riccardo Rebonato

Download or read book The SABR/LIBOR Market Model written by Riccardo Rebonato and published by John Wiley & Sons. This book was released on 2011-03-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Modern Pricing of Interest-Rate Derivatives

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Author :
Publisher : Princeton University Press
ISBN 13 : 1400829321
Total Pages : 486 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Modern Pricing of Interest-Rate Derivatives by : Riccardo Rebonato

Download or read book Modern Pricing of Interest-Rate Derivatives written by Riccardo Rebonato and published by Princeton University Press. This book was released on 2012-01-16 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The LIBOR Market Model in Practice

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Publisher : John Wiley & Sons
ISBN 13 : 0470060417
Total Pages : 290 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis The LIBOR Market Model in Practice by : Dariusz Gatarek

Download or read book The LIBOR Market Model in Practice written by Dariusz Gatarek and published by John Wiley & Sons. This book was released on 2007-01-30 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The LIBOR Market Model (LMM) is the first model of interest rates dynamics consistent with the market practice of pricing interest rate derivatives and therefore it is widely used by financial institution for valuation of interest rate derivatives. This book provides a full practitioner's approach to the LIBOR Market Model. It adopts the specific language of a quantitative analyst to the largest possible level and is one of first books on the subject written entirely by quants. The book is divided into three parts - theory, calibration and simulation. New and important issues are covered, such as various drift approximations, various parametric and nonparametric calibrations, and the uncertain volatility approach to smile modelling; a version of the HJM model based on market observables and the duality between BGM and HJM models. Co-authored by Dariusz Gatarek, the 'G' in the BGM model who is internationally known for his work on LIBOR market models, this book offers an essential perspective on the global benchmark for short-term interest rates.

Interest Rate Models - Theory and Practice

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Publisher : Springer Science & Business Media
ISBN 13 : 354034604X
Total Pages : 1016 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Interest Rate Models - Theory and Practice by : Damiano Brigo

Download or read book Interest Rate Models - Theory and Practice written by Damiano Brigo and published by Springer Science & Business Media. This book was released on 2007-09-26 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2nd edition of this successful book has several new features. The calibration discussion of the basic LIBOR market model has been enriched considerably, with an analysis of the impact of the swaptions interpolation technique and of the exogenous instantaneous correlation on the calibration outputs. A discussion of historical estimation of the instantaneous correlation matrix and of rank reduction has been added, and a LIBOR-model consistent swaption-volatility interpolation technique has been introduced. The old sections devoted to the smile issue in the LIBOR market model have been enlarged into a new chapter. New sections on local-volatility dynamics, and on stochastic volatility models have been added, with a thorough treatment of the recently developed uncertain-volatility approach. Examples of calibrations to real market data are now considered. The fast-growing interest for hybrid products has led to a new chapter. A special focus here is devoted to the pricing of inflation-linked derivatives. The three final new chapters of this second edition are devoted to credit. Since Credit Derivatives are increasingly fundamental, and since in the reduced-form modeling framework much of the technique involved is analogous to interest-rate modeling, Credit Derivatives -- mostly Credit Default Swaps (CDS), CDS Options and Constant Maturity CDS - are discussed, building on the basic short rate-models and market models introduced earlier for the default-free market. Counterparty risk in interest rate payoff valuation is also considered, motivated by the recent Basel II framework developments.

Efficient Methods for Valuing Interest Rate Derivatives

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Publisher : Springer Science & Business Media
ISBN 13 : 1447138880
Total Pages : 177 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Efficient Methods for Valuing Interest Rate Derivatives by : Antoon Pelsser

Download or read book Efficient Methods for Valuing Interest Rate Derivatives written by Antoon Pelsser and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the models that can be used for valuing and managing interest rate derivatives. Split into two parts, the first discusses and compares the traditional models, such as spot- and forward-rate models, while the second concentrates on the more recently developed Market models. Unlike most of his competitors, the author's focus is not only on the mathematics: Antoon Pelsser draws on his experience in industry to explore a host of practical issues.

Term-Structure Models

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Publisher : Springer Science & Business Media
ISBN 13 : 3540680152
Total Pages : 259 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Term-Structure Models by : Damir Filipovic

Download or read book Term-Structure Models written by Damir Filipovic and published by Springer Science & Business Media. This book was released on 2009-07-28 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Changing interest rates constitute one of the major risk sources for banks, insurance companies, and other financial institutions. Modeling the term-structure movements of interest rates is a challenging task. This volume gives an introduction to the mathematics of term-structure models in continuous time. It includes practical aspects for fixed-income markets such as day-count conventions, duration of coupon-paying bonds and yield curve construction; arbitrage theory; short-rate models; the Heath-Jarrow-Morton methodology; consistent term-structure parametrizations; affine diffusion processes and option pricing with Fourier transform; LIBOR market models; and credit risk. The focus is on a mathematically straightforward but rigorous development of the theory. Students, researchers and practitioners will find this volume very useful. Each chapter ends with a set of exercises, that provides source for homework and exam questions. Readers are expected to be familiar with elementary Itô calculus, basic probability theory, and real and complex analysis.

Pricing Models for Bermudan-style Interest Rate Derivatives

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Publisher :
ISBN 13 : 9789058920997
Total Pages : 209 pages
Book Rating : 4.9/5 (29 download)

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Book Synopsis Pricing Models for Bermudan-style Interest Rate Derivatives by : Raoul Pietersz

Download or read book Pricing Models for Bermudan-style Interest Rate Derivatives written by Raoul Pietersz and published by . This book was released on 2005 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Financial Derivatives Modeling

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Publisher : Springer Science & Business Media
ISBN 13 : 3642221556
Total Pages : 320 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Financial Derivatives Modeling by : Christian Ekstrand

Download or read book Financial Derivatives Modeling written by Christian Ekstrand and published by Springer Science & Business Media. This book was released on 2011-08-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive introduction to the modeling of financial derivatives, covering all major asset classes (equities, commodities, interest rates and foreign exchange) and stretching from Black and Scholes' lognormal modeling to current-day research on skew and smile models. The intended reader has a solid mathematical background and is a graduate/final-year undergraduate student specializing in Mathematical Finance, or works at a financial institution such as an investment bank or a hedge fund.

Analytical Finance: Volume II

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Publisher : Springer
ISBN 13 : 3319525840
Total Pages : 741 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Analytical Finance: Volume II by : Jan R. M. Röman

Download or read book Analytical Finance: Volume II written by Jan R. M. Röman and published by Springer. This book was released on 2017-11-30 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytical Finance is a comprehensive introduction to the financial engineering of equity and interest rate instruments for financial markets. Developed from notes from the author’s many years in quantitative risk management and modeling roles, and then for the Financial Engineering course at Mälardalen University, it provides exhaustive coverage of vanilla and exotic mathematical finance applications for trading and risk management, combining rigorous theory with real market application. Coverage includes: • Date arithmetic’s, quote types of interest rate instruments • The interbank market and reference rates, including negative rates• Valuation and modeling of IR instruments; bonds, FRN, FRA, forwards, futures, swaps, CDS, caps/floors and others • Bootstrapping and how to create interest rate curves from prices of traded instruments• Risk measures of IR instruments• Option Adjusted Spread and embedded options• The term structure equation, martingale measures and stochastic processes of interest rates; Vasicek, Ho-Lee, Hull-While, CIR• Numerical models; Black-Derman-Toy and forward induction using Arrow-Debreu prices and Newton–Raphson in 2 dimension• The Heath-Jarrow-Morton framework• Forward measures and general option pricing models• Black log-normal and, normal model for derivatives, market models and managing exotics instruments• Pricing before and after the financial crisis, collateral discounting, multiple curve framework, cheapest-to-deliver curves, CVA, DVA and FVA

Martingale Methods in Financial Modelling

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Publisher : Springer Science & Business Media
ISBN 13 : 3540266534
Total Pages : 721 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Martingale Methods in Financial Modelling by : Marek Musiela

Download or read book Martingale Methods in Financial Modelling written by Marek Musiela and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of a successful, well-established book that provides the reader with a text focused on practical rather than theoretical aspects of financial modelling Includes a new chapter devoted to volatility risk The theme of stochastic volatility reappears systematically and has been revised fundamentally, presenting a much more detailed analyses of interest-rate models

The LIBOR Market Model in Practice

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 9780470014431
Total Pages : 0 pages
Book Rating : 4.0/5 (144 download)

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Book Synopsis The LIBOR Market Model in Practice by : Dariusz Gatarek

Download or read book The LIBOR Market Model in Practice written by Dariusz Gatarek and published by John Wiley & Sons. This book was released on 2007-01-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The LIBOR Market Model (LMM) is the first model of interest rates dynamics consistent with the market practice of pricing interest rate derivatives and therefore it is widely used by financial institution for valuation of interest rate derivatives. This book provides a full practitioner's approach to the LIBOR Market Model. It adopts the specific language of a quantitative analyst to the largest possible level and is one of first books on the subject written entirely by quants. The book is divided into three parts - theory, calibration and simulation. New and important issues are covered, such as various drift approximations, various parametric and nonparametric calibrations, and the uncertain volatility approach to smile modelling; a version of the HJM model based on market observables and the duality between BGM and HJM models. Co-authored by Dariusz Gatarek, the 'G' in the BGM model who is internationally known for his work on LIBOR market models, this book offers an essential perspective on the global benchmark for short-term interest rates.

Dynamic Stochastic Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 3642558844
Total Pages : 337 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Dynamic Stochastic Optimization by : Kurt Marti

Download or read book Dynamic Stochastic Optimization written by Kurt Marti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainties and changes are pervasive characteristics of modern systems involving interactions between humans, economics, nature and technology. These systems are often too complex to allow for precise evaluations and, as a result, the lack of proper management (control) may create significant risks. In order to develop robust strategies we need approaches which explic itly deal with uncertainties, risks and changing conditions. One rather general approach is to characterize (explicitly or implicitly) uncertainties by objec tive or subjective probabilities (measures of confidence or belief). This leads us to stochastic optimization problems which can rarely be solved by using the standard deterministic optimization and optimal control methods. In the stochastic optimization the accent is on problems with a large number of deci sion and random variables, and consequently the focus ofattention is directed to efficient solution procedures rather than to (analytical) closed-form solu tions. Objective and constraint functions of dynamic stochastic optimization problems have the form of multidimensional integrals of rather involved in that may have a nonsmooth and even discontinuous character - the tegrands typical situation for "hit-or-miss" type of decision making problems involving irreversibility ofdecisions or/and abrupt changes ofthe system. In general, the exact evaluation of such functions (as is assumed in the standard optimization and control theory) is practically impossible. Also, the problem does not often possess the separability properties that allow to derive the standard in control theory recursive (Bellman) equations.

Fixed Income Modelling

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Publisher : Oxford University Press
ISBN 13 : 0199575088
Total Pages : 573 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Fixed Income Modelling by : Claus Munk

Download or read book Fixed Income Modelling written by Claus Munk and published by Oxford University Press. This book was released on 2011-06-30 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large number of securities related to various interest rates are traded in financial markets. Traders and analysts in the financial industry apply models based on economics, mathematics and probability theory to compute reasonable prices and risk measures for these securities. This book offers a unified presentation of such models and securities.

Interest Rates and Coupon Bonds in Quantum Finance

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Publisher : Cambridge University Press
ISBN 13 : 1139483552
Total Pages : 509 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Interest Rates and Coupon Bonds in Quantum Finance by : Belal E. Baaquie

Download or read book Interest Rates and Coupon Bonds in Quantum Finance written by Belal E. Baaquie and published by Cambridge University Press. This book was released on 2009-09-17 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: The economic crisis of 2008 has shown that the capital markets need new theoretical and mathematical concepts to describe and price financial instruments. Focusing on interest rates and coupon bonds, this book does not employ stochastic calculus – the bedrock of the present day mathematical finance – for any of the derivations. Instead, it analyzes interest rates and coupon bonds using quantum finance. The Heath-Jarrow-Morton and the Libor Market Model are generalized by realizing the forward and Libor interest rates as an imperfectly correlated quantum field. Theoretical models have been calibrated and tested using bond and interest rates market data. Building on the principles formulated in the author's previous book (Quantum Finance, Cambridge University Press, 2004) this ground-breaking book brings together a diverse collection of theoretical and mathematical interest rate models. It will interest physicists and mathematicians researching in finance, and professionals working in the finance industry.

Quantitative Analysis, Derivatives Modeling, And Trading Strategies: In The Presence Of Counterparty Credit Risk For The Fixed-income Market

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Author :
Publisher : World Scientific
ISBN 13 : 9814494240
Total Pages : 523 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantitative Analysis, Derivatives Modeling, And Trading Strategies: In The Presence Of Counterparty Credit Risk For The Fixed-income Market by : Bin Li

Download or read book Quantitative Analysis, Derivatives Modeling, And Trading Strategies: In The Presence Of Counterparty Credit Risk For The Fixed-income Market written by Bin Li and published by World Scientific. This book was released on 2007-01-23 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses selected practical applications and recent developments in the areas of quantitative financial modeling in derivatives instruments, some of which are from the authors' own research and practice. It is written from the viewpoint of financial engineers or practitioners, and, as such, it puts more emphasis on the practical applications of financial mathematics in the real market than the mathematics itself with precise (and tedious) technical conditions. It attempts to combine economic insights with mathematics and modeling so as to help the reader to develop intuitions.Among the modeling and the numerical techniques presented are the practical applications of the martingale theories, such as martingale model factory and martingale resampling and interpolation. In addition, the book addresses the counterparty credit risk modeling, pricing, and arbitraging strategies from the perspective of a front office functionality and a revenue center (rather than merely a risk management functionality), which are relatively recent developments and are of increasing importance. It also discusses various trading structuring strategies and touches upon some popular credit/IR/FX hybrid products, such as PRDC, TARN, Snowballs, Snowbears, CCDS, and credit extinguishers.While the primary scope of this book is the fixed-income market (with further focus on the interest rate market), many of the methodologies presented also apply to other financial markets, such as the credit, equity, foreign exchange, and commodity markets.

Modeling the Term Structure of Interest Rates

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Author :
Publisher : Now Publishers Inc
ISBN 13 : 1601983727
Total Pages : 171 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Modeling the Term Structure of Interest Rates by : Rajna Gibson

Download or read book Modeling the Term Structure of Interest Rates written by Rajna Gibson and published by Now Publishers Inc. This book was released on 2010 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling the Term Structure of Interest Rates provides a comprehensive review of the continuous-time modeling techniques of the term structure applicable to value and hedge default-free bonds and other interest rate derivatives.

Developments in Macro-Finance Yield Curve Modelling

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107044553
Total Pages : 571 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Developments in Macro-Finance Yield Curve Modelling by : Jagjit S. Chadha

Download or read book Developments in Macro-Finance Yield Curve Modelling written by Jagjit S. Chadha and published by Cambridge University Press. This book was released on 2014-02-06 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: State-of-the-art research from academics and policymakers on the role of and challenges to monetary policy during the ongoing financial crisis.