Stochastic Volatility And Fx Option Pricing
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Stochastic Volatility And Fx Option Pricing
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Author : Bernd Mahler
language : en
Publisher:
Release Date : 2010
Stochastic Volatility And Fx Option Pricing written by Bernd Mahler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
This paper analyzes if the implied volatility surface of foreign exchange options should be modelled by using classical stochastic volatility option pricing models or if more complex models like the Stochastic Skew models recently proposed by Carr and Wu (2004) are required. For this purpose three stochastic volatility models including the Heston model (1993), a restricted Heston model, a Hull White (1987) Model as well as three Stochastic Skew models based on different Jump structures, are calibrated and applied to the pricing of EURUSD and USDJPY options issued on the German foreign exchange options retail market. The comparison of market prices and model prices indicate that both for EURUSUD and USDJPY Stochastic Skew models based on time-changed Lévy processes mostly outperform traditional stochastic volatility models like Heston in capturing highly skewed implied volatility surfaces.
Foreign Exchange Option Pricing
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Author : Iain J. Clark
language : en
Publisher: John Wiley & Sons
Release Date : 2011-10-20
Foreign Exchange Option Pricing written by Iain J. Clark 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 2011-10-20 with Business & Economics categories.
This book covers foreign exchange options from the point of view of the finance practitioner. It contains everything a quant or trader working in a bank or hedge fund would need to know about the mathematics of foreign exchange—not just the theoretical mathematics covered in other books but also comprehensive coverage of implementation, pricing and calibration. With content developed with input from traders and with examples using real-world data, this book introduces many of the more commonly requested products from FX options trading desks, together with the models that capture the risk characteristics necessary to price these products accurately. Crucially, this book describes the numerical methods required for calibration of these models – an area often neglected in the literature, which is nevertheless of paramount importance in practice. Thorough treatment is given in one unified text to the following features: Correct market conventions for FX volatility surface construction Adjustment for settlement and delayed delivery of options Pricing of vanillas and barrier options under the volatility smile Barrier bending for limiting barrier discontinuity risk near expiry Industry strength partial differential equations in one and several spatial variables using finite differences on nonuniform grids Fourier transform methods for pricing European options using characteristic functions Stochastic and local volatility models, and a mixed stochastic/local volatility model Three-factor long-dated FX model Numerical calibration techniques for all the models in this work The augmented state variable approach for pricing strongly path-dependent options using either partial differential equations or Monte Carlo simulation Connecting mathematically rigorous theory with practice, this is the essential guide to foreign exchange options in the context of the real financial marketplace.
Fx Option Pricing With Stochastic Volatility And Smile Dynamics
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Author : Alex Zilber
language : en
Publisher:
Release Date : 2004
Fx Option Pricing With Stochastic Volatility And Smile Dynamics written by Alex Zilber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Noise Trading Central Bank Interventions And The Informational Content Of Foreign Currency Options
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Author : Christian Pierdzioch
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-12-06
Noise Trading Central Bank Interventions And The Informational Content Of Foreign Currency Options written by Christian Pierdzioch 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 2001-12-06 with Business & Economics categories.
A flexible instrument to insure against adverse exchange rate movements are options on foreign currency. Often a relatively simple foreign currency option valuation model is used to address issues related to the pricing and hedging of such options. The results of many empirical studies document that real-world foreign currency option premia deviate from those predicted by the baseline model. In the first part of the book, it is shown that a noise trader model can help to explain the observed mispricing of the baseline foreign currency option pricing model. In the second part of the book, it is studied how policymakers can exploit the pricing errors of the baseline model. In particular, it is examined how option pricing theory can be applied to assess the effectiveness of central bank interventions in the foreign exchange market. To this end, a model is constructed to analyze the effectiveness of the interventions conducted by the Deutsche Bundesbank during the Louvre period.
The Hybrid Stochastic Local Volatility Model With Applications In Pricing Fx Options
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Author : Yu Tian
language : en
Publisher:
Release Date : 2016
The Hybrid Stochastic Local Volatility Model With Applications In Pricing Fx Options written by Yu Tian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
This thesis presents our study on using the hybrid stochastic-local volatility model for option pricing. Many researchers have demonstrated that stochastic volatility models cannot capture the whole volatility surface accurately, although the model parameters have been calibrated to replicate the market implied volatility data for near at-the-money strikes. On the other hand, the local volatility model can reproduce the implied volatility surface, whereas it does not consider the stochastic behaviour of the volatility. To combine the advantages of stochastic volatility (SV) and local volatility (LV) models, a class of stochastic-local volatility (SLV) models has been developed. The SLV model contains a stochastic volatility component represented by a volatility process and a local volatility component represented by a so-called leverage function. The leverage function can be roughly seen as a ratio between local volatility and conditional expectation of stochastic volatility. The difficulty of implementing the SLV model lies in the calibration of the leverage function. In the thesis, we first review the fundamental theories of stochastic differential equations and the classic option pricing models, and study the behaviour of the volatility in the context of FX market. We then introduce the SLV model and illustrate our implementation of the calibration and pricing procedure. We apply the SLV model to exotic option pricing in the FX market and compare pricing results of the SLV model with pure local volatility and pure stochastic volatility models. Numerical results show that the SLV model can match the implied volatility surface very well as well as improve the pricing performance for barrier options. In addition, we further discuss some extensions of the SLV project, such as parallelization potential for accelerating option pricing and pricing techniques for window barrier options. Although the SLV model we use in the thesis is not entirely new, we contribute to the research in the following aspects: 1) we investigate the hybrid volatility modeling thoroughly from theoretical backgrounds to practical implementations; 2) we resolve some critical issues in implementing the SLV model such as developing a fast and stable numerical method to derive the leverage function; and 3) we build a robust calibration and pricing platform under the SLV model, which can be extended for practical uses.
Fx Options And Smile Risk
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Author : Antonio Castagna
language : en
Publisher:
Release Date : 2010
Fx Options And Smile Risk written by Antonio Castagna and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Foreign exchange options categories.
The FX options market represents one of the most liquid and strongly competitive markets in the world, and features many technical subtleties that can seriously harm the uninformed and unaware trader. This book is a unique guide to running an FX options book from the market maker perspective. Striking a balance between mathematical rigour and market practice and written by experienced practitioner Antonio Castagna, the book shows readers how to correctly build an entire volatility surface from the market prices of the main structures. Starting with the basic conventions related to the main FX deals and the basic traded structures of FX options, the book gradually introduces the main tools to cope with the FX volatility risk. It then goes on to review the main concepts of option pricing theory and their application within a Black-Scholes economy and a stochastic volatility environment. The book also introduces models that can be implemented to price and manage FX options before examining the effects of volatility on the profits and losses arising from the hedging activity. Coverage includes:ul type="disc"lihow the Black-Scholes model is used in professional trading activitylithe most suitable stochastic volatility modelslisources of profit and loss from the Delta and volatility hedging activitylifundamental concepts of smile hedginglimajor market approaches and variations of the Vanna-Volga methodlivolatility-related Greeks in the Black-Scholes modellipricing of plain vanilla options, digital options, barrier options and the less well known exotic optionslitools for monitoring the main risks of an FX options' book/ul The book is accompanied by a CD Rom featuring models in VBA, demonstrating many of the approaches described in the book.
Currency Options And Exchange Rate Economics
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Author : Zhaohui Chen
language : en
Publisher: World Scientific
Release Date : 1998-04-21
Currency Options And Exchange Rate Economics written by Zhaohui Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-21 with Business & Economics categories.
This volume is a collection of classical and recent empirical studies of currency options and their implications for issues of exchange rate economics, such as exchange rate risk premium, volatility, market expectations, and credibility of exchange rate regimes. It contains applications on how to extract useful information from option market data for financial forecasting policy purposes. The subjects are discussed in a self-contained, user-friendly format, with introductory chapters on currency option theory and currency option markets.The book can be used as supplementary reading for graduate finance and international economics courses, as training material for central bank and regulatory authorities, or as a reference book for financial analysts.
Fx Option Pricing With Stochastic Volatility
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Author : Sven Wiedmer
language : en
Publisher:
Release Date : 2010
Fx Option Pricing With Stochastic Volatility written by Sven Wiedmer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Diese Master-Arbeit analysiert die empirische Performance eines multivariaten stochastischen Volatilitätsmodells für die Bewertung von Finanzderivaten. Die Kovarianzmatrizen in diesem Modell sind stochastisch und werden durch einen Wishartprozess beschrieben. Ich verwende dieses Modell, um empirisch Optionspreise und implizite Volatilitäten zu berechnen. Dabei untersuche ich Optionen auf einzelne Basiswerte sowie auf einen Basket von vier Basiswerten. Zunächst schätze ich die Parameter des Wishartprozesses mit der Generalized Method of Moments. Anschliessend generiere ich empirische Optionspreise durch eine Monte Carlo Simulation. Ich kalibriere das Modell auf die Daten von vier liquiden Währungspaaren unter der Annahme, dass die Kovarianzmatrix dieser vier Assets durch denselben diskreten Wishartprozess beschrieben wird. Die Resultate zeigen, dass eine einfache Spezifizierung des Modells bereits in der Lage ist, die Smile- und Skew-Effekte auf den Optionsmärkten abzubilden.
Fx Barrier Options
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Author : Zareer Dadachanji
language : en
Publisher: Springer
Release Date : 2016-04-29
Fx Barrier Options written by Zareer Dadachanji and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-29 with Business & Economics categories.
Barrier options are a class of highly path-dependent exotic options which present particular challenges to practitioners in all areas of the financial industry. They are traded heavily as stand-alone contracts in the Foreign Exchange (FX) options market, their trading volume being second only to that of vanilla options. The FX options industry has correspondingly shown great innovation in this class of products and in the models that are used to value and risk-manage them. FX structured products commonly include barrier features, and in order to analyse the effects that these features have on the overall structured product, it is essential first to understand how individual barrier options work and behave. FX Barrier Options takes a quantitative approach to barrier options in FX environments. Its primary perspectives are those of quantitative analysts, both in the front office and in control functions. It presents and explains concepts in a highly intuitive manner throughout, to allow quantitatively minded traders, structurers, marketers, salespeople and software engineers to acquire a more rigorous analytical understanding of these products. The book derives, demonstrates and analyses a wide range of models, modelling techniques and numerical algorithms that can be used for constructing valuation models and risk-management methods. Discussions focus on the practical realities of the market and demonstrate the behaviour of models based on real and recent market data across a range of currency pairs. It furthermore offers a clear description of the history and evolution of the different types of barrier options, and elucidates a great deal of industry nomenclature and jargon.
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