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Pricing Cac 40 Index Options With Stochastic Volatility
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Book Synopsis Pricing Cac 40 Index Options with Stochastic Volatility by : Sofiane Aboura
Download or read book Pricing Cac 40 Index Options with Stochastic Volatility written by Sofiane Aboura and published by . This book was released on 2015 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The failure of the Black-Scholes (1973) model is now well documented in the literature. In this article, we discuss two alternative option valuation models whose volatility follows a stochastic process. Namely, the Heston (1993) closed-form solution model and the Hull and White (1988) model in a series expansion form, both allowing for arbitrary correlation between increments. The empirical study is carried out on French PXL European call options written on the CAC 40 index during the first half of year 2001. This paper fulfills the lack of option pricing empirical studies devoted to the French market. We discuss calibration of the models and results obtained from the out-of-sample pricing using analysis in cross-section. We also discuss the empirical dynamic of the skew. We found that misprising was globally deacreasing with maturity and increasing with low strike prices. We find that the Heston (1993) model was more likely to capture the changes in the implied volatility regime in that it can allows smile patterns to transform into skew patterns while the Hull and White (1988) model allows only for changes in the skew slope sign. We explain to what extent this phenomenon is linked with the values of some of the structural parameters.
Book Synopsis Pricing Index Options with Stochastic Volatility by : Ronnie Söderman
Download or read book Pricing Index Options with Stochastic Volatility written by Ronnie Söderman and published by . This book was released on 2000 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Option Pricing with Stochastic Volatility by : Bogdan Negrea
Download or read book Option Pricing with Stochastic Volatility written by Bogdan Negrea and published by . This book was released on 2002 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Black and Scholes (1973) option pricing model was developed starting from the hypothesis of constant volatility. However, many empirical studies, have argued that the mentioned hypothesis is subject to debate. A few authors, among who - Stein and Stein (1991), Heston (1993), Bates (1996) and Bakshi et al.(1997, 2000) - suggested the use of the Fourier transform for the density of the underlying return or for the risk-neutral probabilities, in order to evaluate the fair price of an option. In this paper we propose a stochastic valuation model using the Fourier transform for option price. This model can be used for the valuation of European options, characterized by two state variables: the price of the underlying asset and its volatility. We model the stochastic processes described by the two variables and we obtain a partial derivatives equation of which the solution is the price of the derivative. We propose a solution to this partial derivatives equation using the Fourier transform. When we apply the Fourier transform, we demonstrate that a second order partial derivatives equation is solved as an ordinary differential equation. We consider a correlation between the underlying asset price and its volatility and two sources of risk: return and volatility. The first part of the paper describes the hypotheses of the model. After describing the Fourier transforms, we propose a formula for the valuation of European options with stochastic volatility. In the second part, we present a few empirical results on the pricing of CAC 40 index call options.
Book Synopsis Index option pricing models with stochastic volatility and stochastic interest rates by :
Download or read book Index option pricing models with stochastic volatility and stochastic interest rates written by and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Volatility and Pricing Bias in the Swedish OMX-index Call Option Market by : Hans N. E. Byström
Download or read book Stochastic Volatility and Pricing Bias in the Swedish OMX-index Call Option Market written by Hans N. E. Byström and published by . This book was released on 2000 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stock Price Distributions with Stochastic Volatility and Option Pricing by : Clifford A. Ball
Download or read book Stock Price Distributions with Stochastic Volatility and Option Pricing written by Clifford A. Ball and published by . This book was released on 1992 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pricing Cac 40 Index Options Under Asymmetry of Information by : Sofiane Aboura
Download or read book Pricing Cac 40 Index Options Under Asymmetry of Information written by Sofiane Aboura and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article analyses, for the first time, the financial impact on the French market of September 11th, 2001. Was there any information asymmetry around this date? How deep was the reaction of the French investors? This study measures the magnitude of the shock in the stock price process.
Book Synopsis The Empirical Performance of the Stochastic Volatility Model in Pricing FTSE-100 Index Options by : Krisda Phatcharoen
Download or read book The Empirical Performance of the Stochastic Volatility Model in Pricing FTSE-100 Index Options written by Krisda Phatcharoen and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Index Future Pricing Under Imperfect Market and Stochastic Volatility by : Wei-Hsien Li
Download or read book Index Future Pricing Under Imperfect Market and Stochastic Volatility written by Wei-Hsien Li and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Economic Forecasting by : Graham Elliott
Download or read book Handbook of Economic Forecasting written by Graham Elliott and published by Elsevier. This book was released on 2013-10-24 with total page 1386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The highly prized ability to make financial plans with some certainty about the future comes from the core fields of economics. In recent years the availability of more data, analytical tools of greater precision, and ex post studies of business decisions have increased demand for information about economic forecasting. Volumes 2A and 2B, which follows Nobel laureate Clive Granger's Volume 1 (2006), concentrate on two major subjects. Volume 2A covers innovations in methodologies, specifically macroforecasting and forecasting financial variables. Volume 2B investigates commercial applications, with sections on forecasters' objectives and methodologies. Experts provide surveys of a large range of literature scattered across applied and theoretical statistics journals as well as econometrics and empirical economics journals. The Handbook of Economic Forecasting Volumes 2A and 2B provide a unique compilation of chapters giving a coherent overview of forecasting theory and applications in one place and with up-to-date accounts of all major conceptual issues. Focuses on innovation in economic forecasting via industry applications Presents coherent summaries of subjects in economic forecasting that stretch from methodologies to applications Makes details about economic forecasting accessible to scholars in fields outside economics
Book Synopsis Asset Price Dynamics, Volatility, and Prediction by : Stephen J. Taylor
Download or read book Asset Price Dynamics, Volatility, and Prediction written by Stephen J. Taylor and published by Princeton University Press. This book was released on 2011-02-11 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how current and recent market prices convey information about the probability distributions that govern future prices. Moving beyond purely theoretical models, Stephen Taylor applies methods supported by empirical research of equity and foreign exchange markets to show how daily and more frequent asset prices, and the prices of option contracts, can be used to construct and assess predictions about future prices, their volatility, and their probability distributions. Stephen Taylor provides a comprehensive introduction to the dynamic behavior of asset prices, relying on finance theory and statistical evidence. He uses stochastic processes to define mathematical models for price dynamics, but with less mathematics than in alternative texts. The key topics covered include random walk tests, trading rules, ARCH models, stochastic volatility models, high-frequency datasets, and the information that option prices imply about volatility and distributions. Asset Price Dynamics, Volatility, and Prediction is ideal for students of economics, finance, and mathematics who are studying financial econometrics, and will enable researchers to identify and apply appropriate models and methods. It will likewise be a valuable resource for quantitative analysts, fund managers, risk managers, and investors who seek realistic expectations about future asset prices and the risks to which they are exposed.
Book Synopsis Exotic Options and Hybrids by : Mohamed Bouzoubaa
Download or read book Exotic Options and Hybrids written by Mohamed Bouzoubaa and published by John Wiley & Sons. This book was released on 2010-05-17 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recent financial crisis brought to light many of the misunderstandings and misuses of exotic derivatives. With market participants on both the buy and sell-side having been found guilty of not understanding the products they were dealing with, never before has there been a greater need for clarification and explanation. Exotic Options and Hybrids is a practical guide to structuring, pricing and hedging complex exotic options and hybrid derivatives that will serve readers through the recent crisis, the road to recovery, the next bull market and beyond. Written by experienced practitioners, it focuses on the three main parts of a derivative’s life: the structuring of a product, its pricing and its hedging. Divided into four parts, the book covers a multitude of structures, encompassing many of the most up-to-date and promising products from exotic equity derivatives and structured notes to hybrid derivatives and dynamic strategies. Based on a realistic setting from the heart of the business, inside a derivatives operation, the practical and intuitive discussions of these aspects make these exotic concepts truly accessible. Adoptions of real trades are examined in detail, and all of the numerous examples are carefully selected so as to highlight interesting and significant aspects of the business. The introduction of payoff structures is accompanied by scenario analysis, diagrams and lifelike sample term sheets. Readers learn how to spot where the risks lie to pave the way for sound valuation and hedging of such products. There are also questions and accompanying discussions dispersed in the text, each exploited to illustrate one or more concepts from the context in which they are set. The applications, the strengths and the limitations of various models are highlighted, in relevance to the products and their risks, rather than the model implementations. Models are de-mystified in separately dedicated sections, but their implications are alluded to throughout the book in an intuitive and non-mathematical manner. By discussing exotic options and hybrids in a practical, non-mathematical and highly intuitive setting, this book will blast through the misunderstanding of exotic derivatives, enabling practitioners to fully understand and correctly structure, price and hedge theses products effectively, and stand strong as the only book in its class to make these “exotic” concepts truly accessible.
Book Synopsis Measuring Risk in Complex Stochastic Systems by : J. Franke
Download or read book Measuring Risk in Complex Stochastic Systems written by J. Franke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex dynamic processes of life and sciences generate risks that have to be taken. The need for clear and distinctive definitions of different kinds of risks, adequate methods and parsimonious models is obvious. The identification of important risk factors and the quantification of risk stemming from an interplay between many risk factors is a prerequisite for mastering the challenges of risk perception, analysis and management successfully. The increasing complexity of stochastic systems, especially in finance, have catalysed the use of advanced statistical methods for these tasks. The methodological approach to solving risk management tasks may, however, be undertaken from many different angles. A financial insti tution may focus on the risk created by the use of options and other derivatives in global financial processing, an auditor will try to evalu ate internal risk management models in detail, a mathematician may be interested in analysing the involved nonlinearities or concentrate on extreme and rare events of a complex stochastic system, whereas a statis tician may be interested in model and variable selection, practical im plementations and parsimonious modelling. An economist may think about the possible impact of risk management tools in the framework of efficient regulation of financial markets or efficient allocation of capital.
Book Synopsis Stochastic Dominance Option Pricing by : Stylianos Perrakis
Download or read book Stochastic Dominance Option Pricing written by Stylianos Perrakis and published by Springer. This book was released on 2019-05-03 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the application of the economic concept of stochastic dominance to option markets and presents an alternative option pricing paradigm to the prevailing no arbitrage simultaneous equilibrium in the frictionless underlying and option markets. This new methodology was developed primarily by the author, working independently or jointly with other co-authors, over the course of more than thirty years. Among others, it yields the fundamental Black-Scholes-Merton option value when markets are complete, presents a new approach to the pricing of rare event risk, and uncovers option mispricing that leads to tradeable strategies in the presence of transaction costs. In the latter case it shows how a utility-maximizing investor trading in the market and a riskless bond, subject to proportional transaction costs, can increase his/her expected utility by overlaying a zero-net-cost portfolio of options bought at their ask price and written at their bid price, irrespective of the specific form of the utility function. The book contains a unified presentation of these methods and results, making it a highly readable supplement for educators and sophisticated professionals working in the popular field of option pricing. It also features a foreword by George Constantinides, the Leo Melamed Professor of Finance at the Booth School of Business, University of Chicago, USA, who was a co-author in several parts of the book.
Book Synopsis Forecasting Volatility in the Financial Markets by : John L. Knight
Download or read book Forecasting Volatility in the Financial Markets written by John L. Knight and published by Butterworth-Heinemann. This book was released on 2002 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text assumes that the reader has a firm grounding in the key principles and methods of understanding volatility measurement and builds on that knowledge to detail cutting edge modeling and forecasting techniques. It then uses a technical survey to explain the different ways to measure risk and define the different models of volatility and return.
Book Synopsis Innovations in Classification, Data Science, and Information Systems by : Daniel Baier
Download or read book Innovations in Classification, Data Science, and Information Systems written by Daniel Baier and published by Springer Science & Business Media. This book was released on 2004-11-19 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume presents innovations in data analysis and classification and gives an overview of the state of the art in these scientific fields and applications. Areas that receive considerable attention in the book are discrimination and clustering, data analysis and statistics, as well as applications in marketing, finance, and medicine. The reader will find material on recent technical and methodological developments and a large number of applications demonstrating the usefulness of the newly developed techniques.
Book Synopsis Dictionary of Financial Risk Management by : Gary L. Gastineau
Download or read book Dictionary of Financial Risk Management written by Gary L. Gastineau and published by John Wiley & Sons. This book was released on 1999-11-15 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gary Gastineau and Mark Kritzman team up once again for the third edition of this classic reference tool designed for financial analysts and managers. Anyone involved in financial risk management must have a proper understanding of the words, terms, and phrases used in this fast paced field-and Dictionary of Financial Risk Management clearly provides that understanding. Risk management terminology is a part of almost any financial operation, including cash, forwards/futures, swaps, options-and is found in many disciplines: probability and statistics, tax and financial accounting, and law. The vocabulary of the risk manager continues to expand with the creation of new products and new concepts. This volume carefully defines and illustrates all the words and phrases that financial professionals need to know and understand. The Dictionary of Financial Risk Management includes listings of common acronyms, profit/loss diagrams of new financial instruments, and extensive coverage of derivatives and quantitative techniques. This invaluable reference guide provides comprehensive definitions of the key terms and concepts that many financial professionals need to know on a day-to-day basis.
