Pricing Credit Derivatives In A Libor Market Model

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Pricing Credit Derivatives in a 'Libor Market Model'

Author : Hanno Damm
Publisher : GRIN Verlag
ISBN 13 : 3638709140
Total Pages : 89 pages
Book Rating : 4.6/5 (387 download)

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Book Synopsis Pricing Credit Derivatives in a 'Libor Market Model' by : Hanno Damm

Download or read book Pricing Credit Derivatives in a 'Libor Market Model' written by Hanno Damm and published by GRIN Verlag. This book was released on 2007-08 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diploma Thesis from the year 2002 in the subject Business economics - Investment and Finance, grade: 1,0, University of Bonn (Institut f r Gesellschafts- und Wirtschaftswissenschaften, Statistische Abteilung), 48 entries in the bibliography, language: English, abstract: The growing importance of credit derivatives creates the need to price them in a market consistent manner. In this thesis the well known and accepted Libor Market Model is extended following Sch nbucher (2000). The thesis consists of two main parts: one describing and explaining the theoretical framework that will yield the pricing formulae for credit derivatives, and a second part explaining how to practically implement and calibrate the model. The second part also reports results of our implementation. We show that approximations introduced by Sch nbucher (2000) hold and that the model can be used to price defaultable bonds, credit default swaps as well as options on credit default swaps. The thesis has been written at the Department of Statistics, University of Bonn in cooperation with Deutsche Postbank AG Credit Risk Management.

The SABR/LIBOR Market Model

Author : Riccardo Rebonato
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

SABR and SABR LIBOR Market Models in Practice

Author : Christian Crispoldi
Publisher : Springer
ISBN 13 : 1137378646
Total Pages : 274 pages
Book Rating : 4.1/5 (373 download)

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Book Synopsis SABR and SABR LIBOR Market Models in Practice by : Christian Crispoldi

Download or read book SABR and SABR LIBOR Market Models in Practice written by Christian Crispoldi and published by Springer. This book was released on 2016-04-29 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Pricing of Interest-Rate Derivatives

Author : Riccardo Rebonato
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.

Pricing credit derivatives in a 'Libor Market Model'

Author : Hanno Damm
Publisher : GRIN Verlag
ISBN 13 : 3638499707
Total Pages : 83 pages
Book Rating : 4.6/5 (384 download)

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Book Synopsis Pricing credit derivatives in a 'Libor Market Model' by : Hanno Damm

Download or read book Pricing credit derivatives in a 'Libor Market Model' written by Hanno Damm and published by GRIN Verlag. This book was released on 2006-05-10 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diploma Thesis from the year 2002 in the subject Business economics - Investment and Finance, grade: 1,0, University of Bonn (Institut für Gesellschafts- und Wirtschaftswissenschaften, Statistische Abteilung), language: English, abstract: The growing importance of credit derivatives creates the need to price them in a market consistent manner. In this thesis the well known and accepted Libor Market Model is extended following Schönbucher (2000). The thesis consists of two main parts: one describing and explaining the theoretical framework that will yield the pricing formulae for credit derivatives, and a second part explaining how to practically implement and calibrate the model. The second part also reports results of our implementation. We show that approximations introduced by Schönbucher (2000) hold and that the model can be used to price defaultable bonds, credit default swaps as well as options on credit default swaps. The thesis has been written at the Department of Statistics, University of Bonn in cooperation with Deutsche Postbank AG Credit Risk Management.

Stochastic Interest Rate Modeling With Fixed Income Derivative Pricing (Third Edition)

Author : Nicolas Privault
Publisher : World Scientific
ISBN 13 : 9811226628
Total Pages : 373 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Stochastic Interest Rate Modeling With Fixed Income Derivative Pricing (Third Edition) by : Nicolas Privault

Download or read book Stochastic Interest Rate Modeling With Fixed Income Derivative Pricing (Third Edition) written by Nicolas Privault and published by World Scientific. This book was released on 2021-09-02 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 LIBOR Market Model in Practice

Author : Dariusz Gatarek
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.

Credit Derivatives Pricing Models

Author : Philipp J. Schönbucher
Publisher : John Wiley & Sons
ISBN 13 : 0470868171
Total Pages : 396 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Credit Derivatives Pricing Models by : Philipp J. Schönbucher

Download or read book Credit Derivatives Pricing Models written by Philipp J. Schönbucher and published by John Wiley & Sons. This book was released on 2003-10-31 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The credit derivatives market is booming and, for the first time, expanding into the banking sector which previously has had very little exposure to quantitative modeling. This phenomenon has forced a large number of professionals to confront this issue for the first time. Credit Derivatives Pricing Models provides an extremely comprehensive overview of the most current areas in credit risk modeling as applied to the pricing of credit derivatives. As one of the first books to uniquely focus on pricing, this title is also an excellent complement to other books on the application of credit derivatives. Based on proven techniques that have been tested time and again, this comprehensive resource provides readers with the knowledge and guidance to effectively use credit derivatives pricing models. Filled with relevant examples that are applied to real-world pricing problems, Credit Derivatives Pricing Models paves a clear path for a better understanding of this complex issue. Dr. Philipp J. Schönbucher is a professor at the Swiss Federal Institute of Technology (ETH), Zurich, and has degrees in mathematics from Oxford University and a PhD in economics from Bonn University. He has taught various training courses organized by ICM and CIFT, and lectured at risk conferences for practitioners on credit derivatives pricing, credit risk modeling, and implementation.

An Introduction to Credit Derivatives

Author : Moorad Choudhry
Publisher : Butterworth-Heinemann
ISBN 13 : 0080982980
Total Pages : 173 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis An Introduction to Credit Derivatives by : Moorad Choudhry

Download or read book An Introduction to Credit Derivatives written by Moorad Choudhry and published by Butterworth-Heinemann. This book was released on 2012-12-31 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of An Introduction to Credit Derivatives provides a broad introduction to products and a marketplace that have changed significantly since the financial crisis of 2008. Author Moorad Choudhry gives a practitioner's perspective on credit derivative instruments and the risks they involve in a succinct style without sacrificing technical details and scientific precision. Beginning with foundational discussions of credit risk, credit risk transfer and credit ratings, the book proceeds to examine credit default swaps and related pricing, asset swaps, credit-linked notes, and more. Ample references, appendices and a glossary add considerably to the lasting value of the book for students and professionals in finance. - A post-crisis guide to a powerful bank risk management product, its history and its use - Liberal use of Bloomberg screens and new worked examples increase hands-on practicality - New online set of CDS pricing models and other worksheets multiply the book's uses

The LIBOR Market Model in Practice

Author : Dariusz Gatarek
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

Author : Damiano Brigo
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.

Modeling Derivatives in C++

Author : Justin London
Publisher : John Wiley & Sons
ISBN 13 : 047168189X
Total Pages : 922 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Modeling Derivatives in C++ by : Justin London

Download or read book Modeling Derivatives in C++ written by Justin London and published by John Wiley & Sons. This book was released on 2005-01-21 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the definitive and most comprehensive guide to modeling derivatives in C++ today. Providing readers with not only the theory and math behind the models, as well as the fundamental concepts of financial engineering, but also actual robust object-oriented C++ code, this is a practical introduction to the most important derivative models used in practice today, including equity (standard and exotics including barrier, lookback, and Asian) and fixed income (bonds, caps, swaptions, swaps, credit) derivatives. The book provides complete C++ implementations for many of the most important derivatives and interest rate pricing models used on Wall Street including Hull-White, BDT, CIR, HJM, and LIBOR Market Model. London illustrates the practical and efficient implementations of these models in real-world situations and discusses the mathematical underpinnings and derivation of the models in a detailed yet accessible manner illustrated by many examples with numerical data as well as real market data. A companion CD contains quantitative libraries, tools, applications, and resources that will be of value to those doing quantitative programming and analysis in C++. Filled with practical advice and helpful tools, Modeling Derivatives in C++ will help readers succeed in understanding and implementing C++ when modeling all types of derivatives.

Modern Derivatives Pricing and Credit Exposure Analysis

Author : Roland Lichters
Publisher : Springer
ISBN 13 : 1137494840
Total Pages : 569 pages
Book Rating : 4.1/5 (374 download)

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Book Synopsis Modern Derivatives Pricing and Credit Exposure Analysis by : Roland Lichters

Download or read book Modern Derivatives Pricing and Credit Exposure Analysis written by Roland Lichters and published by Springer. This book was released on 2015-11-15 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modelling Single-name and Multi-name Credit Derivatives

Author : Dominic O'Kane
Publisher : John Wiley & Sons
ISBN 13 : 1119995442
Total Pages : 515 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Modelling Single-name and Multi-name Credit Derivatives by : Dominic O'Kane

Download or read book Modelling Single-name and Multi-name Credit Derivatives written by Dominic O'Kane and published by John Wiley & Sons. This book was released on 2011-03-08 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling Single-name and Multi-name Credit Derivatives presents an up-to-date, comprehensive, accessible and practical guide to the pricing and risk-management of credit derivatives. It is both a detailed introduction to credit derivative modelling and a reference for those who are already practitioners. This book is up-to-date as it covers many of the important developments which have occurred in the credit derivatives market in the past 4-5 years. These include the arrival of the CDS portfolio indices and all of the products based on these indices. In terms of models, this book covers the challenge of modelling single-tranche CDOs in the presence of the correlation skew, as well as the pricing and risk of more recent products such as constant maturity CDS, portfolio swaptions, CDO squareds, credit CPPI and credit CPDOs.

Credit Risk

Author : Darrell Duffie
Publisher : Princeton University Press
ISBN 13 : 1400829178
Total Pages : 415 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Credit Risk by : Darrell Duffie

Download or read book Credit Risk written by Darrell Duffie and published by Princeton University Press. This book was released on 2012-01-12 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, two of America's leading economists provide the first integrated treatment of the conceptual, practical, and empirical foundations for credit risk pricing and risk measurement. Masterfully applying theory to practice, Darrell Duffie and Kenneth Singleton model credit risk for the purpose of measuring portfolio risk and pricing defaultable bonds, credit derivatives, and other securities exposed to credit risk. The methodological rigor, scope, and sophistication of their state-of-the-art account is unparalleled, and its singularly in-depth treatment of pricing and credit derivatives further illuminates a problem that has drawn much attention in an era when financial institutions the world over are revising their credit management strategies. Duffie and Singleton offer critical assessments of alternative approaches to credit-risk modeling, while highlighting the strengths and weaknesses of current practice. Their approach blends in-depth discussions of the conceptual foundations of modeling with extensive analyses of the empirical properties of such credit-related time series as default probabilities, recoveries, ratings transitions, and yield spreads. Both the "structura" and "reduced-form" approaches to pricing defaultable securities are presented, and their comparative fits to historical data are assessed. The authors also provide a comprehensive treatment of the pricing of credit derivatives, including credit swaps, collateralized debt obligations, credit guarantees, lines of credit, and spread options. Not least, they describe certain enhancements to current pricing and management practices that, they argue, will better position financial institutions for future changes in the financial markets. Credit Risk is an indispensable resource for risk managers, traders or regulators dealing with financial products with a significant credit risk component, as well as for academic researchers and students.

Credit Derivatives

Author : Gunter Meissner
Publisher : John Wiley & Sons
ISBN 13 : 1405137460
Total Pages : 248 pages
Book Rating : 4.4/5 (51 download)

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Book Synopsis Credit Derivatives by : Gunter Meissner

Download or read book Credit Derivatives written by Gunter Meissner and published by John Wiley & Sons. This book was released on 2009-02-04 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The market for credit derivatives--financial instruments designedto transfer credit risk from one party to another--has grownexponentially in recent years, with volume expected to reach morethan $4.8 trillion by 2004. With demand increasing from the privatesector for finance professionals trained in the opportunities--anddangers--inherent in this fast-changing market, finance courses arealready springing up to meet this need. Credit Derivatives: Explains the field of credit derivatives to business studentswith a background in finance Cites real-world examples throughout, reinforced byend-of-chapter questions and internet links to pricing models Provides a concise overview of the field that is ideal forinstructors seeking to supplement traditional derivatives coursematerial, as well as those looking to offer a stand-alone course oncredit derivatives.

Interest Rate Modeling

Author : Lixin Wu
Publisher : CRC Press
ISBN 13 : 1351227416
Total Pages : 494 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Interest Rate Modeling by : Lixin Wu

Download or read book Interest Rate Modeling written by Lixin Wu and published by CRC Press. This book was released on 2019-03-04 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing many results that are new, or which exist only in recent research articles, Interest Rate Modeling: Theory and Practice, 2nd 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. Features Presents a complete cycle of model construction and applications, showing readers how to build and use models Provides a systematic treatment of intriguing industrial issues, such as volatility and correlation adjustments Contains exercise sets and a number of examples, with many based on real market data Includes comments on cutting-edge research, such as volatility-smile, positive interest-rate models, and convexity adjustment New to the 2nd edition: volatility smile modeling; a new paradigm for inflation derivatives modeling; an extended market model for credit derivatives; a dual-curved model for the post-crisis interest-rate derivatives markets; and an elegant framework for the xVA.