The SABR/LIBOR Market Model

The SABR/LIBOR Market Model PDF Author: Riccardo Rebonato
Publisher: John Wiley & Sons
ISBN: 1119995639
Category : Business & Economics
Languages : en
Pages : 308

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Book Description
This book presents a major innovation in the interest rate space. It explains a financially motivated extension of the LIBOR Market model which accurately reproduces the prices for plain vanilla hedging instruments (swaptions and caplets) of all strikes and maturities produced by the SABR model. The authors show how to accurately recover the whole of the SABR smile surface using their extension of the LIBOR market model. This is not just a new model, this is a new way of option pricing that takes into account the need to calibrate as accurately as possible to the plain vanilla reference hedging instruments and the need to obtain prices and hedges in reasonable time whilst reproducing a realistic future evolution of the smile surface. It removes the hard choice between accuracy and time because the framework that the authors provide reproduces today's market prices of plain vanilla options almost exactly and simultaneously gives a reasonable future evolution for the smile surface. The authors take the SABR model as the starting point for their extension of the LMM because it is a good model for European options. The problem, however with SABR is that it treats each European option in isolation and the processes for the various underlyings (forward and swap rates) do not talk to each other so it isn't obvious how to relate these processes into the dynamics of the whole yield curve. With this new model, the authors bring the dynamics of the various forward rates and stochastic volatilities under a single umbrella. To ensure the absence of arbitrage they derive drift adjustments to be applied to both the forward rates and their volatilities. When this is completed, complex derivatives that depend on the joint realisation of all relevant forward rates can now be priced. Contents THE THEORETICAL SET-UP The Libor Market model The SABR Model The LMM-SABR Model IMPLEMENTATION AND CALIBRATION Calibrating the LMM-SABR model to Market Caplet prices Calibrating the LMM/SABR model to Market Swaption Prices Calibrating the Correlation Structure EMPIRICAL EVIDENCE The Empirical problem Estimating the volatility of the forward rates Estimating the correlation structure Estimating the volatility of the volatility HEDGING Hedging the Volatility Structure Hedging the Correlation Structure Hedging in conditions of market stress

The SABR/LIBOR Market Model

The SABR/LIBOR Market Model PDF Author: Riccardo Rebonato
Publisher: John Wiley & Sons
ISBN: 1119995639
Category : Business & Economics
Languages : en
Pages : 308

Get Book Here

Book Description
This book presents a major innovation in the interest rate space. It explains a financially motivated extension of the LIBOR Market model which accurately reproduces the prices for plain vanilla hedging instruments (swaptions and caplets) of all strikes and maturities produced by the SABR model. The authors show how to accurately recover the whole of the SABR smile surface using their extension of the LIBOR market model. This is not just a new model, this is a new way of option pricing that takes into account the need to calibrate as accurately as possible to the plain vanilla reference hedging instruments and the need to obtain prices and hedges in reasonable time whilst reproducing a realistic future evolution of the smile surface. It removes the hard choice between accuracy and time because the framework that the authors provide reproduces today's market prices of plain vanilla options almost exactly and simultaneously gives a reasonable future evolution for the smile surface. The authors take the SABR model as the starting point for their extension of the LMM because it is a good model for European options. The problem, however with SABR is that it treats each European option in isolation and the processes for the various underlyings (forward and swap rates) do not talk to each other so it isn't obvious how to relate these processes into the dynamics of the whole yield curve. With this new model, the authors bring the dynamics of the various forward rates and stochastic volatilities under a single umbrella. To ensure the absence of arbitrage they derive drift adjustments to be applied to both the forward rates and their volatilities. When this is completed, complex derivatives that depend on the joint realisation of all relevant forward rates can now be priced. Contents THE THEORETICAL SET-UP The Libor Market model The SABR Model The LMM-SABR Model IMPLEMENTATION AND CALIBRATION Calibrating the LMM-SABR model to Market Caplet prices Calibrating the LMM/SABR model to Market Swaption Prices Calibrating the Correlation Structure EMPIRICAL EVIDENCE The Empirical problem Estimating the volatility of the forward rates Estimating the correlation structure Estimating the volatility of the volatility HEDGING Hedging the Volatility Structure Hedging the Correlation Structure Hedging in conditions of market stress

SABR and SABR LIBOR Market Models in Practice

SABR and SABR LIBOR Market Models in Practice PDF Author: Christian Crispoldi
Publisher: Springer
ISBN: 1137378646
Category : Business & Economics
Languages : en
Pages : 274

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Book Description
Interest rate traders have been using the SABR model to price vanilla products for more than a decade. However this model suffers however from a severe limitation: its inability to value exotic products. A term structure model à la LIBOR Market Model (LMM) is often employed to value these more complex derivatives, however the LMM is unable to capture the volatility smile. A joint SABR LIBOR Market Model is the natural evolution towards a consistent pricing of vanilla and exotic products. Knowledge of these models is essential to all aspiring interest rate quants, traders and risk managers, as well an understanding of their failings and alternatives. SABR and SABR Libor Market Models in Practice is an accessible guide to modern interest rate modelling. Rather than covering an array of models which are seldom used in practice, it focuses on the SABR model, the market standard for vanilla products, the LIBOR Market Model, the most commonly used model for exotic products and the extended SABR LIBOR Market Model. The book takes a hands-on approach, demonstrating simply how to implement and work with these models in a market setting. It bridges the gap between the understanding of the models from a conceptual and mathematical perspective and the actual implementation by supplementing the interest rate theory with modelling specific, practical code examples written in Python.

The Spider Network

The Spider Network PDF Author: David Enrich
Publisher: Custom House
ISBN: 9780062452986
Category : Business & Economics
Languages : en
Pages : 0

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Book Description
SHORT-LISTED FOR THE FINANCIAL TIMES BUSINESS BOOK OF THE YEAR The Wall Street Journal's award-winning business reporter unveils the bizarre and sinister story of how a math genius named Tom Hayes, a handful of outrageous confederates, and a deeply corrupt banking system ignited one of the greatest financial scandals in history. In 2006, an oddball group of bankers, traders and brokers from some of the world’s largest financial institutions made a startling realization: Libor—the London interbank offered rate, which determines interest rates on trillions in loans worldwide—was set daily by a small group of easily manipulated functionaries. Tom Hayes, a brilliant but troubled mathematician, became the lynchpin of shadowy team that used hook and crook to take over the process and set rates that made them a fortune, no matter the cost to others. Among the motley crew was a French trader nicknamed “Gollum”; the broker “Abbo,” who liked to publicly strip naked when drinking; a Kazakh chicken farmer turned something short of financial whiz kid; an executive called “Clumpy” because of his patchwork hair loss; and a broker uncreatively nicknamed “Big Nose.” Eventually known as the “Spider Network,” Hayes’s circle generated untold riches —until it all unraveled in spectacularly vicious, backstabbing fashion. Praised as reading “like a fast-paced John le Carré thriller” (New York Times), “compelling” (Washington Post) and “jaw-dropping” (Financial Times), The Spider Network is not only a rollicking account of the scam, but a provocative examination of a financial system that was warped and shady throughout.

Discounting, LIBOR, CVA and Funding

Discounting, LIBOR, CVA and Funding PDF Author: C. Kenyon
Publisher: Springer
ISBN: 1137268522
Category : Business & Economics
Languages : en
Pages : 280

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Book Description
Providing the most up-to-date tools and techniques for pricing interest rate and credit products for the new financial world, this book discusses pricing and hedging, funding and regulation, and interpretation, as an essential resource for quantitatively minded practitioners and researchers in finance.

The LIBOR Market Model in Practice

The LIBOR Market Model in Practice PDF Author: Dariusz Gatarek
Publisher: John Wiley & Sons
ISBN: 9780470014431
Category : Business & Economics
Languages : en
Pages : 0

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Book Description
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.

The Fix

The Fix PDF Author: Liam Vaughan
Publisher: John Wiley & Sons
ISBN: 1118995724
Category : Business & Economics
Languages : en
Pages : 229

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Book Description
"The first thing you think is where's the edge, where can I make a bit more money, how can I push, push the boundaries. But the point is, you are greedy, you want every little bit of money that you can possibly get because, like I say, that is how you are judged, that is your performance metric" —Tom Hayes, 2013 In the midst of the financial crisis, Tom Hayes and his network of traders and brokers from Wall Street's leading firms set to work engineering the biggest financial conspiracy ever seen. As the rest of the world burned, they came together on secret chat rooms and late night phone calls to hatch an audacious plan to rig Libor, the 'world's most important number' and the basis for $350 trillion of securities from mortgages to loans to derivatives. Without the persistence of a rag-tag team of investigators from the U.S., they would have got away with it.... The Fix by award-winning Bloomberg journalists Liam Vaughan and Gavin Finch, is the inside story of the Libor scandal, told through the journey of the man at the centre of it: a young, scruffy, socially awkward misfit from England whose genius for math and obsessive personality made him a trading phenomenon, but ultimately paved the way for his own downfall. Based on hundreds of interviews, and unprecedented access to the traders and brokers involved, and the investigators who caught up with them, The Fix provides a rare look into the dark heart of global finance at the start of the 21st Century.

Modern Pricing of Interest-Rate Derivatives

Modern Pricing of Interest-Rate Derivatives PDF Author: Riccardo Rebonato
Publisher: Princeton University Press
ISBN: 1400829321
Category : Business & Economics
Languages : en
Pages : 486

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Book Description
In recent years, interest-rate modeling has developed rapidly in terms of both practice and theory. The academic and practitioners' communities, however, have not always communicated as productively as would have been desirable. As a result, their research programs have often developed with little constructive interference. In this book, Riccardo Rebonato draws on his academic and professional experience, straddling both sides of the divide to bring together and build on what theory and trading have to offer. Rebonato begins by presenting the conceptual foundations for the application of the LIBOR market model to the pricing of interest-rate derivatives. Next he treats in great detail the calibration of this model to market prices, asking how possible and advisable it is to enforce a simultaneous fitting to several market observables. He does so with an eye not only to mathematical feasibility but also to financial justification, while devoting special scrutiny to the implications of market incompleteness. Much of the book concerns an original extension of the LIBOR market model, devised to account for implied volatility smiles. This is done by introducing a stochastic-volatility, displaced-diffusion version of the model. The emphasis again is on the financial justification and on the computational feasibility of the proposed solution to the smile problem. This book is must reading for quantitative researchers in financial houses, sophisticated practitioners in the derivatives area, and students of finance.

Antitrust Law in the New Economy

Antitrust Law in the New Economy PDF Author: Mark R. Patterson
Publisher: Harvard University Press
ISBN: 0674971426
Category : Law
Languages : en
Pages : 330

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Book Description
Markets run on information. Buyers make decisions by relying on their knowledge of the products available, and sellers decide what to produce based on their understanding of what buyers want. But the distribution of market information has changed, as consumers increasingly turn to sources that act as intermediaries for information—companies like Yelp and Google. Antitrust Law in the New Economy considers a wide range of problems that arise around one aspect of information in the marketplace: its quality. Sellers now have the ability and motivation to distort the truth about their products when they make data available to intermediaries. And intermediaries, in turn, have their own incentives to skew the facts they provide to buyers, both to benefit advertisers and to gain advantages over their competition. Consumer protection law is poorly suited for these problems in the information economy. Antitrust law, designed to regulate powerful firms and prevent collusion among producers, is a better choice. But the current application of antitrust law pays little attention to information quality. Mark Patterson discusses a range of ways in which data can be manipulated for competitive advantage and exploitation of consumers (as happened in the LIBOR scandal), and he considers novel issues like “confusopoly” and sellers’ use of consumers’ personal information in direct selling. Antitrust law can and should be adapted for the information economy, Patterson argues, and he shows how courts can apply antitrust to address today’s problems.

Why Wall Street Matters

Why Wall Street Matters PDF Author: William D. Cohan
Publisher: Random House
ISBN: 0399590706
Category : Business & Economics
Languages : en
Pages : 193

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Book Description
A timely, counterintuitive defense of Wall Street and the big banks as the invisible—albeit flawed—engines that power our ideas, and should be made to work better for all of us Maybe you think the banks should be broken up and the bankers should be held accountable for the financial crisis in 2008. Maybe you hate the greed of Wall Street but know that it’s important to the proper functioning of the world economy. Maybe you don’t really understand Wall Street, and phrases such as “credit default swap” make your eyes glaze over. Maybe you are utterly confused by the fact that after attacking Wall Street mercilessly during his campaign, Donald Trump has surrounded himself with Wall Street veterans. But if you like your smart phone or your widescreen TV, your car or your morning bacon, your pension or your 401(k), then—whether you know it or not—you are a fan of Wall Street. William D. Cohan is no knee-jerk advocate for Wall Street and the big banks. He’s one of America’s most respected financial journalists and the progressive bestselling author of House of Cards. He has long been critical of the bad behavior that plagued much of Wall Street in the years leading up to the 2008 financial crisis, and because he spent seventeen years as an investment banker on Wall Street, he is an expert on its inner workings as well. But in recent years he’s become alarmed by the cheap shots and ceaseless vitriol directed at Wall Street’s bankers, traders, and executives—the people whose job it is to provide capital to those who need it, the grease that keeps our economy humming. In this brisk, no-nonsense narrative, Cohan reminds us of the good these institutions do—and the dire consequences for us all if the essential role they play in making our lives better is carelessly curtailed. Praise for William D. Cohan “Cohan writes with an insider’s knowledge of the workings of Wall Street, a reporter’s investigative instincts and a natural storyteller’s narrative command.”—The New York Times “[Cohan is] one of our most able financial journalists.”—Los Angeles Times “A former Wall Street man and a talented writer, [Cohan] has the rare gift not only of understanding the fiendishly complicated goings-on, but also of being able to explain them in terms the lay reader can grasp.”—The Observer (London)

Modern Pricing of Interest-Rate Derivatives

Modern Pricing of Interest-Rate Derivatives PDF Author: Riccardo Rebonato
Publisher: Princeton University Press
ISBN: 0691089736
Category : Business & Economics
Languages : en
Pages : 485

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Book Description
In recent years, interest-rate modeling has developed rapidly in terms of both practice and theory. The academic and practitioners' communities, however, have not always communicated as productively as would have been desirable. As a result, their research programs have often developed with little constructive interference. In this book, Riccardo Rebonato draws on his academic and professional experience, straddling both sides of the divide to bring together and build on what theory and trading have to offer. Rebonato begins by presenting the conceptual foundations for the application of the LIBOR market model to the pricing of interest-rate derivatives. Next he treats in great detail the calibration of this model to market prices, asking how possible and advisable it is to enforce a simultaneous fitting to several market observables. He does so with an eye not only to mathematical feasibility but also to financial justification, while devoting special scrutiny to the implications of market incompleteness. Much of the book concerns an original extension of the LIBOR market model, devised to account for implied volatility smiles. This is done by introducing a stochastic-volatility, displaced-diffusion version of the model. The emphasis again is on the financial justification and on the computational feasibility of the proposed solution to the smile problem. This book is must reading for quantitative researchers in financial houses, sophisticated practitioners in the derivatives area, and students of finance.