Libor Market Mode Theory And Practice
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Libor Market Mode Theory And Practice
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Author : Irina Götsch
language : en
Publisher: GRIN Verlag
Release Date : 2006-03-26
Libor Market Mode Theory And Practice written by Irina Götsch and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-26 with Business & Economics categories.
Diploma Thesis from the year 2006 in the subject Economics - Monetary theory and policy, grade: 2.0, University of Frankfurt (Main), language: English, abstract: The goal of this thesis is to examine the LMM theoretically and apply practically to derivatives pricing. The input data structuring and calibration to market and historical data, implementing and pricing issues will be specifically investigated. This work begins with the comparison of the LMM to alternative interest rate models in chapter 2. A review of basic theory of the valuation of derivatives, which will be used in the next chapters, is presented in chapter 3. Theoretical description of the LMM is presented in the next chapter. Chapter 5 investigates several methods of calibrating directly to market cap and swaption prices. The way of obtaining the initial Libor yield curve is also summarized. In chapter 6 and 7 modeling of forward Libor rates volatility and correlation is presented. Hedging issues are to find in chapter 8. Chapter 9 covers pricing with the LMM by Monte Carlo simulations. This chapter presents the results of imple-menting the cascade calibration and of valuation of derivatives to illustrate the performance of the LMM. Finally the last chapter summarises and concludes the thesis.
Modern Pricing Of Interest Rate Derivatives
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Author : Riccardo Rebonato
language : en
Publisher: Princeton University Press
Release Date : 2002-11-24
Modern Pricing Of Interest Rate Derivatives written by Riccardo Rebonato and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-24 with Business & Economics categories.
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.
Smile Consistent Libor Market Models
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Author : Stefan Markus Kassberger
language : en
Publisher:
Release Date : 2005
Smile Consistent Libor Market Models written by Stefan Markus Kassberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Interest Rate Models Theory And Practice
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Author : Damiano Brigo
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-26
Interest Rate Models Theory And Practice written by Damiano Brigo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-26 with Mathematics categories.
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.
Volatility And Correlation
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Author : Riccardo Rebonato
language : en
Publisher: John Wiley & Sons
Release Date : 2005-07-08
Volatility And Correlation written by Riccardo Rebonato and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-08 with Business & Economics categories.
In Volatility and Correlation 2nd edition: The Perfect Hedger and the Fox, Rebonato looks at derivatives pricing from the angle of volatility and correlation. With both practical and theoretical applications, this is a thorough update of the highly successful Volatility & Correlation – with over 80% new or fully reworked material and is a must have both for practitioners and for students. The new and updated material includes a critical examination of the ‘perfect-replication’ approach to derivatives pricing, with special attention given to exotic options; a thorough analysis of the role of quadratic variation in derivatives pricing and hedging; a discussion of the informational efficiency of markets in commonly-used calibration and hedging practices. Treatment of new models including Variance Gamma, displaced diffusion, stochastic volatility for interest-rate smiles and equity/FX options. The book is split into four parts. Part I deals with a Black world without smiles, sets out the author’s ‘philosophical’ approach and covers deterministic volatility. Part II looks at smiles in equity and FX worlds. It begins with a review of relevant empirical information about smiles, and provides coverage of local-stochastic-volatility, general-stochastic-volatility, jump-diffusion and Variance-Gamma processes. Part II concludes with an important chapter that discusses if and to what extent one can dispense with an explicit specification of a model, and can directly prescribe the dynamics of the smile surface. Part III focusses on interest rates when the volatility is deterministic. Part IV extends this setting in order to account for smiles in a financially motivated and computationally tractable manner. In this final part the author deals with CEV processes, with diffusive stochastic volatility and with Markov-chain processes. Praise for the First Edition: “In this book, Dr Rebonato brings his penetrating eye to bear on option pricing and hedging.... The book is a must-read for those who already know the basics of options and are looking for an edge in applying the more sophisticated approaches that have recently been developed.” —Professor Ian Cooper, London Business School “Volatility and correlation are at the very core of all option pricing and hedging. In this book, Riccardo Rebonato presents the subject in his characteristically elegant and simple fashion...A rare combination of intellectual insight and practical common sense.” —Anthony Neuberger, London Business School
Sabr And Sabr Libor Market Models In Practice
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Author : Christian Crispoldi
language : en
Publisher: Palgrave Macmillan
Release Date : 2014-01-14
Sabr And Sabr Libor Market Models In Practice written by Christian Crispoldi and has been published by Palgrave Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-14 with Business & Economics categories.
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.
The Sabr Libor Market Model
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Author : Riccardo Rebonato
language : en
Publisher: Wiley
Release Date : 2010-04-01
The Sabr Libor Market Model written by Riccardo Rebonato and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-01 with Business & Economics categories.
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
Robust Libor Modelling And Pricing Of Derivative Products
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Author : John Schoenmakers
language : en
Publisher: CRC Press
Release Date : 2005-03-29
Robust Libor Modelling And Pricing Of Derivative Products written by John Schoenmakers and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-29 with Business & Economics categories.
One of Riskbook.com's Best of 2005 - Top Ten Finance Books The Libor market model remains one of the most popular and advanced tools for modelling interest rates and interest rate derivatives, but finding a useful procedure for calibrating the model has been a perennial problem. Also the respective pricing of exotic derivative products such
Market Practice In Financial Modelling
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Author : Chia Chiang Tan
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-07-11
Market Practice In Financial Modelling written by Chia Chiang Tan and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-11 with Business & Economics categories.
Written to bridge the gap between foundational quantitative finance and market practice, this book goes beyond the basics covered in most textbooks by presenting content concerning actual industry norms, thus resulting in a clearer picture of the field for the readers. These include, for instance, the practitioner's perspective of how local versus stochastic volatility affects forward smile, or the implications of mean reversion on forward volatility. Key considerations for modelling in rates, equities and foreign exchange are presented from the perspective of common themes across various assets, as well as their individual characteristics. The discussion on models emphasizes the key aspects that are relevant to the pricing of different types of financial derivatives, so that the reader can observe how an appropriate choice of models is essential in reflecting the risk profile and hedging considerations for different products. With the knowledge gleaned from this book, readers will attain a more comprehensive understanding of market practice in derivatives modelling. Foreword Foreword (246 KB)
Islamic Capital Markets
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Author : Noureddine Krichene
language : en
Publisher: John Wiley & Sons
Release Date : 2012-11-28
Islamic Capital Markets written by Noureddine Krichene and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-28 with Business & Economics categories.
A comprehensive look at the essentials of Islamic capital markets Bringing together theoretical and practical aspects of capital markets, Islamic Capital Markets offers readers a comprehensive insight into the institutions, instruments, and regulatory framework that comprise Islamic capital markets. Also exploring ideas about money, central banking, and economic growth theory and their role in Islamic capital markets, the book provides students and practitioners with essential information about the analytical tools of Islamic capital markets, serves as a guide to investing in Islamic assets, and examines risk management and the structure of Islamic financial products. Author and Islamic finance expert Noureddine Krichene examines the development of leading Islamic capital markets, including Malaysia, looking at sukuks and stocks in detail and emphasizing valuation, duration, convexity, immunization, yield curves, forward rates, swaps, and risks. Analyzing stock markets, stock valuation, price-earnings ratio, market efficiency hypothesis, and equity premiums, the book addresses uncertainty in capital markets, portfolio diversification theory, risk-return trade-off, pricing of assets, cost of capital, derivatives and their role in hedging and speculation, the principle of arbitrage and replication, Islamic structured products, the financing of large projects, and more. Emphasizes both theoretical and practical aspects of capital markets, covering analytical concepts such as the theory of arbitrage, pricing of assets, capital market pricing model, Arrow-Debreu state prices, risk-neutral pricing, derivatives markets, hedging and risk management, and structured products Provides students and practitioners of finance with must-have information about the analytical tools employed in Islamic capital markets Examines all the most recent developments in major Islamic capital markets, including Malaysia Discussing the advantages of Islamic capital markets and the prospects for their development, Islamic Capital Markets gives readers a fundamental grounding in the subject, with an emphasis on financial theory and real world practice.