Pde Valuation Of Interest Rate Derivatives

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PDE Valuation of Interest Rate Derivatives

Author : Peter Kohl-Landgraf
Publisher : BoD – Books on Demand
ISBN 13 : 3833495375
Total Pages : 222 pages
Book Rating : 4.8/5 (334 download)

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Book Synopsis PDE Valuation of Interest Rate Derivatives by : Peter Kohl-Landgraf

Download or read book PDE Valuation of Interest Rate Derivatives written by Peter Kohl-Landgraf and published by BoD – Books on Demand. This book was released on 2007 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Libor Market Model and its several extensions can be seen as state of the art in interest rate modeling. However, due to the ever increasing complexity of interest rate products, the high dimensionality of this approach starts to reach its limits from the computational side. This book is mainly concerned with a class of Markovian Yield Curve Models which try to overcome that disadvantage as they enable a low-dimensional deterministic and fast PDE valuation. The objective of this book is thereby threefold: - To illuminate in a compact way the connection between stochastic processes and partial differential equations as well as review the key features of arbitrage-free pricing. - To embed the here analyzed Markovian model class into the entire framework of interest rate models. - To present and implement robust numerical schemes, which enable an efficient computational treatment of risk-neutral product valuation by using PDE methods.

Efficient Methods for Valuing Interest Rate Derivatives

Author : Antoon Pelsser
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.

Interest Rate Derivatives

Author : Ingo Beyna
Publisher : Springer Science & Business Media
ISBN 13 : 3642349250
Total Pages : 220 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Interest Rate Derivatives by : Ingo Beyna

Download or read book Interest Rate Derivatives written by Ingo Beyna and published by Springer Science & Business Media. This book was released on 2013-02-20 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The class of interest rate models introduced by O. Cheyette in 1994 is a subclass of the general HJM framework with a time dependent volatility parameterization. This book addresses the above mentioned class of interest rate models and concentrates on the calibration, valuation and sensitivity analysis in multifactor models. It derives analytical pricing formulas for bonds and caplets and applies several numerical valuation techniques in the class of Cheyette model, i.e. Monte Carlo simulation, characteristic functions and PDE valuation based on sparse grids. Finally it focuses on the sensitivity analysis of Cheyette models and derives Model- and Market Greeks. To the best of our knowledge, this sensitivity analysis of interest rate derivatives in the class of Cheyette models is unique in the literature. Up to now the valuation of interest rate derivatives using PDEs has been restricted to 3 dimensions only, since the computational effort was too great. The author picks up the sparse grid technique, adjusts it slightly and can solve high-dimensional PDEs (four dimensions plus time) accurately in reasonable time. Many topics investigated in this book are new areas of research and make a significant contribution to the scientific community of financial engineers. They also represent a valuable development for practitioners.

Interest Rate Dynamics, Derivatives Pricing, and Risk Management

Author : Lin Chen
Publisher : Springer Science & Business Media
ISBN 13 : 364246825X
Total Pages : 158 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Interest Rate Dynamics, Derivatives Pricing, and Risk Management by : Lin Chen

Download or read book Interest Rate Dynamics, Derivatives Pricing, and Risk Management written by Lin Chen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two types of tenn structure models in the literature: the equilibrium models and the no-arbitrage models. And there are, correspondingly, two types of interest rate derivatives pricing fonnulas based on each type of model of the tenn structure. The no-arbitrage models are characterized by the work of Ho and Lee (1986), Heath, Jarrow, and Morton (1992), Hull and White (1990 and 1993), and Black, Dennan and Toy (1990). Ho and Lee (1986) invent the no-arbitrage approach to the tenn structure modeling in the sense that the model tenn structure can fit the initial (observed) tenn structure of interest rates. There are a number of disadvantages with their model. First, the model describes the whole volatility structure by a sin gle parameter, implying a number of unrealistic features. Furthennore, the model does not incorporate mean reversion. Black-Dennan-Toy (1990) develop a model along tbe lines of Ho and Lee. They eliminate some of the problems of Ho and Lee (1986) but create a new one: for a certain specification of the volatility function, the short rate can be mean-fteeting rather than mean-reverting. Heath, Jarrow and Morton (1992) (HJM) construct a family of continuous models of the term struc ture consistent with the initial tenn structure data.

Derivative Securities and Difference Methods

Author : You-lan Zhu
Publisher : Springer Science & Business Media
ISBN 13 : 1475739389
Total Pages : 522 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Derivative Securities and Difference Methods by : You-lan Zhu

Download or read book Derivative Securities and Difference Methods written by You-lan Zhu and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies pricing financial derivatives with a partial differential equation approach. The treatment is mathematically rigorous and covers a variety of topics in finance including forward and futures contracts, the Black-Scholes model, European and American type options, free boundary problems, lookback options, interest rate models, interest rate derivatives, swaps, caps, floors, and collars. Each chapter concludes with exercises.

Interest Rate Swaps and Their Derivatives

Author : Amir Sadr
Publisher : John Wiley & Sons
ISBN 13 : 0470443944
Total Pages : 276 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Interest Rate Swaps and Their Derivatives by : Amir Sadr

Download or read book Interest Rate Swaps and Their Derivatives written by Amir Sadr and published by John Wiley & Sons. This book was released on 2009-09-09 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Pricing and Trading Interest Rate Derivatives

Author : J Hamish M Darbyshire
Publisher : Aitch & Dee Limited
ISBN 13 : 9780995455535
Total Pages : 0 pages
Book Rating : 4.4/5 (555 download)

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Book Synopsis Pricing and Trading Interest Rate Derivatives by : J Hamish M Darbyshire

Download or read book Pricing and Trading Interest Rate Derivatives written by J Hamish M Darbyshire and published by Aitch & Dee Limited. This book was released on 2022-08-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Valuation of Interest Rate Swaps and Swaptions

Author : Gerald W. Buetow
Publisher : John Wiley & Sons
ISBN 13 : 9781883249892
Total Pages : 258 pages
Book Rating : 4.2/5 (498 download)

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Book Synopsis Valuation of Interest Rate Swaps and Swaptions by : Gerald W. Buetow

Download or read book Valuation of Interest Rate Swaps and Swaptions written by Gerald W. Buetow and published by John Wiley & Sons. This book was released on 2000-06-15 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

Modeling Dependence in Econometrics

Author : Van-Nam Huynh
Publisher : Springer Science & Business Media
ISBN 13 : 3319033956
Total Pages : 570 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Modeling Dependence in Econometrics by : Van-Nam Huynh

Download or read book Modeling Dependence in Econometrics written by Van-Nam Huynh and published by Springer Science & Business Media. This book was released on 2013-11-18 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: In economics, many quantities are related to each other. Such economic relations are often much more complex than relations in science and engineering, where some quantities are independence and the relation between others can be well approximated by linear functions. As a result of this complexity, when we apply traditional statistical techniques - developed for science and engineering - to process economic data, the inadequate treatment of dependence leads to misleading models and erroneous predictions. Some economists even blamed such inadequate treatment of dependence for the 2008 financial crisis. To make economic models more adequate, we need more accurate techniques for describing dependence. Such techniques are currently being developed. This book contains description of state-of-the-art techniques for modeling dependence and economic applications of these techniques. Most of these research developments are centered around the notion of a copula - a general way of describing dependence in probability theory and statistics. To be even more adequate, many papers go beyond traditional copula techniques and take into account, e.g., the dynamical (changing) character of the dependence in economics.

Fixed Income and Interest Rate Derivative Analysis

Author : Mark Britten-Jones
Publisher : Elsevier
ISBN 13 : 0080506542
Total Pages : 179 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Fixed Income and Interest Rate Derivative Analysis by : Mark Britten-Jones

Download or read book Fixed Income and Interest Rate Derivative Analysis written by Mark Britten-Jones and published by Elsevier. This book was released on 1998-10-15 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

An Introduction to the Mathematics of Financial Derivatives

Author : Salih N. Neftci
Publisher : Academic Press
ISBN 13 : 0125153929
Total Pages : 550 pages
Book Rating : 4.1/5 (251 download)

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Book Synopsis An Introduction to the Mathematics of Financial Derivatives by : Salih N. Neftci

Download or read book An Introduction to the Mathematics of Financial Derivatives written by Salih N. Neftci and published by Academic Press. This book was released on 2000-05-19 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: A step-by-step explanation of the mathematical models used to price derivatives. For this second edition, Salih Neftci has expanded one chapter, added six new ones, and inserted chapter-concluding exercises. He does not assume that the reader has a thorough mathematical background. His explanations of financial calculus seek to be simple and perceptive.

The Mathematics of Financial Derivatives

Author : Paul Wilmott
Publisher : Cambridge University Press
ISBN 13 : 9780521497893
Total Pages : 338 pages
Book Rating : 4.4/5 (978 download)

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Book Synopsis The Mathematics of Financial Derivatives by : Paul Wilmott

Download or read book The Mathematics of Financial Derivatives written by Paul Wilmott and published by Cambridge University Press. This book was released on 1995-09-29 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic option theory - Numerical methods - Further option theory - Interest rate derivative products.

Pricing Models for Bermudan-style Interest Rate Derivatives

Author : Raoul Pietersz
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:

Mathematics of Derivative Securities

Author : Michael A. H. Dempster
Publisher : Cambridge University Press
ISBN 13 : 9780521584241
Total Pages : 614 pages
Book Rating : 4.5/5 (842 download)

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Book Synopsis Mathematics of Derivative Securities by : Michael A. H. Dempster

Download or read book Mathematics of Derivative Securities written by Michael A. H. Dempster and published by Cambridge University Press. This book was released on 1997-10-13 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: During 1995 the Isaac Newton Institute for the Mathematical Sciences at Cambridge University hosted a six month research program on financial mathematics. During this period more than 300 scholars and financial practitioners attended to conduct research and to attend more than 150 research seminars. Many of the presented papers were on the subject of financial derivatives. The very best were selected to appear in this volume. They range from abstract financial theory to practical issues pertaining to the pricing and hedging of interest rate derivatives and exotic options in the market place. Hence this book will be of interest to both academic scholars and financial engineers.

Dynamic Term Structure Modeling

Author : Sanjay K. Nawalkha
Publisher : John Wiley & Sons
ISBN 13 : 0470140062
Total Pages : 722 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Dynamic Term Structure Modeling by : Sanjay K. Nawalkha

Download or read book Dynamic Term Structure Modeling written by Sanjay K. Nawalkha and published by John Wiley & Sons. This book was released on 2007-05-23 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for Dynamic Term Structure Modeling "This book offers the most comprehensive coverage of term-structure models I have seen so far, encompassing equilibrium and no-arbitrage models in a new framework, along with the major solution techniques using trees, PDE methods, Fourier methods, and approximations. It is an essential reference for academics and practitioners alike." --Sanjiv Ranjan Das Professor of Finance, Santa Clara University, California, coeditor, Journal of Derivatives "Bravo! This is an exhaustive analysis of the yield curve dynamics. It is clear, pedagogically impressive, well presented, and to the point." --Nassim Nicholas Taleb author, Dynamic Hedging and The Black Swan "Nawalkha, Beliaeva, and Soto have put together a comprehensive, up-to-date textbook on modern dynamic term structure modeling. It is both accessible and rigorous and should be of tremendous interest to anyone who wants to learn about state-of-the-art fixed income modeling. It provides many numerical examples that will be valuable to readers interested in the practical implementations of these models." --Pierre Collin-Dufresne Associate Professor of Finance, UC Berkeley "The book provides a comprehensive description of the continuous time interest rate models. It serves an important part of the trilogy, useful for financial engineers to grasp the theoretical underpinnings and the practical implementation." --Thomas S. Y. Ho, PHD President, Thomas Ho Company, Ltd, coauthor, The Oxford Guide to Financial Modeling

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.