Download or read book La volatilit stochastique dans les mod les d valuation d option written by Sabita Devi Raj and published by . This book was released on 2003 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Les mod les d valuation d options volatilit stochastique written by Sébastien Bietho and published by . This book was released on 1999 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book La volatilit stochastique et la valorisation des options written by Bogdan Cristian Negrea and published by . This book was released on 2005 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nous traitons les modèles d'évaluation d'options à volatilité stochastique en deux parties. Dans la première, deux variables d'état sont prises en considération -le prix du sous-jacent et sa volatilité- alors que, dans la seconde partie, une troisième variable d'état -le taux d'intérêt- est retenue. La première partie est consacrée à une présentation unifiée des travaux de Hull et White, de Stein et Stein, et de Heston dans l'évaluation des options à volatilité stochastique ce qui nous a permit d'établir quelques résultats originaux. En premier lieu, nous avons obtenu une formule plus simple et plus précise du prix de l'option à volatilité stochastique lorsque les variables d'état ne sont pas corrélées. En second lieu, nous avons démontré que la distribution des rendements terminaux de l'actif sous-jacent est alors asymétrique ce qui contredit la théorie défendue par Heston selon laquelle la volatilité stochastique n'entraîne qu'un aplatissement de la densité. Dans la deuxième partie, nous avons proposé une formule analytique du prix de l'option d'achat européenne à volatilité stochastique et à taux d'intérêt stochastique. La formule que nous proposons permet d'éviter de faire intervenir des variables caractérisant l'évolution du taux d'intérêt en ne retenant que le prix -observé- d'une obligation zéro coupon. La comparaison des performances empiriques d'évaluation des formules de prix des options du modèle de Black et Scholes et des modèles à volatilité stochastique révèle que le modèle à volatilité et à taux d'intérêt stochastiques conduit aux plus faibles erreurs d'évaluation des options. Le modèle à volatilité stochastique avec une corrélation non nulle entre les variables d'état surclasse les autres de point de vue des performances de couverture des options en temps continu et en temps discret. Lors d'une volatilité stochastique, le comportement des opérateurs sur le marché financier français est bien décrit par le modèle à trois variables d'état, s'agissant des bonnes anticipations des taux courts. Le modèle à deux variables d'état ne permet de prendre en compte que les anticipations de la volatilité future, mais elles sont bien plus précises que celles obtenue à partir du modèle à trois variables d'état.

Download or read book Handbook of Volatility Models and Their Applications written by Luc Bauwens and published by John Wiley & Sons. This book was released on 2012-03-22 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete guide to the theory and practice of volatility models in financial engineering Volatility has become a hot topic in this era of instant communications, spawning a great deal of research in empirical finance and time series econometrics. Providing an overview of the most recent advances, Handbook of Volatility Models and Their Applications explores key concepts and topics essential for modeling the volatility of financial time series, both univariate and multivariate, parametric and non-parametric, high-frequency and low-frequency. Featuring contributions from international experts in the field, the book features numerous examples and applications from real-world projects and cutting-edge research, showing step by step how to use various methods accurately and efficiently when assessing volatility rates. Following a comprehensive introduction to the topic, readers are provided with three distinct sections that unify the statistical and practical aspects of volatility: Autoregressive Conditional Heteroskedasticity and Stochastic Volatility presents ARCH and stochastic volatility models, with a focus on recent research topics including mean, volatility, and skewness spillovers in equity markets Other Models and Methods presents alternative approaches, such as multiplicative error models, nonparametric and semi-parametric models, and copula-based models of (co)volatilities Realized Volatility explores issues of the measurement of volatility by realized variances and covariances, guiding readers on how to successfully model and forecast these measures Handbook of Volatility Models and Their Applications is an essential reference for academics and practitioners in finance, business, and econometrics who work with volatility models in their everyday work. The book also serves as a supplement for courses on risk management and volatility at the upper-undergraduate and graduate levels.

Download or read book Les Mod les d valuation d options avec volatilit stochastique written by Jean-Jacques Legendre and published by . This book was released on 1993 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Les mod les d valuation des options avec volatilit stochastique written by Kamal Lahbib and published by . This book was released on 2000 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book MODELES D OPTION A VOLATILITE STOCHASTIQUE written by CHRISTOPHE.. VILLA and published by . This book was released on 1997 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: CETTE THESE EST ORGANISEE EN DEUX PARTIES DE DEUX CHAPITRES CHACUNE. LA PREMIERE PARTIE TRAITE DU CADRE GENERAL DE L'EVALUATION DES OPTIONS EUROPEENNES PAR UN MODELE A VOLATILITE STOCHASTIQUE. UN PREMIER CHAPITRE EST CONSACRE AUX ASPECTS THEORIQUES DE L'EVALUATION PAR ARBITRAGE. LA REMISE EN CAUSE DE L'HYPOTHESE D'UN MARCHE COMPLET ENTRAINE L'EXISTENCE D'UNE INFINITE DE PROBABILITES " RISQUE-NEUTRE " ET DONC UNE INFINITE DE PRIX POSSIBLES. PARMI, CET ENSEMBLE, NOUS EVALUONS LES OPTIONS SOUS LA PROBABILITE MINIMALE (FOLLMER ET SCHWEIZER [1991]). UN SECOND CHAPITRE EST DEDIE A L'APPROFONDISSEMENT DES DIFFERENTES METHODES DE VALORISATION ET A L'ETUDE DES PROPRIETES INDUITES PAR CES MODELES. NOUS PROPOSONS UNE UTILISATION PARTICULIERE DES TRANSFORMEES DE FOURIER PAR L'INTERMEDIAIRE DU THEOREME DE PARSEVAL. NOUS MONTRONS QUE LA FORMULE FONDAMENTALE DE VALORISATION DERIVEE PAR HULL ET WHITE [1987] PEUT ETRE CALCULEE DE FACON ORIGINALE ET SURTOUT EFFICACE (UNE SEULE INTEGRATION NUMERIQUE SUFFIT). LA SECONDE PARTIE S'INTERESSE A LA MISE EN OEUVRE DES MODELES A VOLATILITE STOCHASTIQUE. LE PREMIER CHAPITRE INTRODUIT UNE METHODE ORIGINALE D'ESTIMATION DES PARAMETRES A PARTIR DU PRIX DES OPTIONS. ELLE REQUIERT LA CONSTRUCTION D'UN INDICE DE VOLATILITE. NOUS MONTRONS QUE LA ROBUSTESSE DE LA RELATION " VARIANCE MOYENNE ESPEREE - VARIANCE IMPLICITE; PERMET UNE UTILISATION SIMPLIFIEE DE LA METHODE DU MAXIMUM DE VRAISEMBLANCE. LE SECOND ET DERNIER CHAPITRE EST DEDIE A LA VALIDATION EMPIRIQUE DE CES MODELES. LA PERIODE DE REFERENCE VA DU 1ER JANVIER 1995 AU 31 MAI 1997. L'ETUDE PORTE SUR LA PREDICTION DU PRIX DES OPTIONS LONG TERME SUR INDICE CAC 40 COTEES SUR LE MONEP. NOUS MONTRONS QUE L'INTRODUCTION D'UNE PRIME DE RISQUE DE NATURE CONJONCTURELLE PERMET A CES MODELES DE DOMINER CELUI DE BLACK ET SCHOLES (DIMINUTION D'ENVIRON 40% DE L'ERREUR RELATIVE ABSOLUE MOYENNE).

Download or read book Valorisation et gestion d options written by Adam Kurpiel and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book L apport de la volatilit stochastique dans les mod les d valuation des options en temps continu written by Grégoire Ledoux and published by . This book was released on 1999 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Application of Stochastic Volatility Models in Option Pricing written by Pascal Debus and published by . This book was released on 2013 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bachelorarbeit aus dem Jahr 2010 im Fachbereich BWL - Investition und Finanzierung, Note: 1,2, EBS Universitat fur Wirtschaft und Recht, Sprache: Deutsch, Abstract: The Black-Scholes (or Black-Scholes-Merton) Model has become the standard model for the pricing of options and can surely be seen as one of the main reasons for the growth of the derivative market after the models introduction in 1973. As a consequence, the inventors of the model, Robert Merton, Myron Scholes, and without doubt also Fischer Black, if he had not died in 1995, were awarded the Nobel prize for economics in 1997. The model, however, makes some strict assumptions that must hold true for accurate pricing of an option. The most important one is constant volatility, whereas empirical evidence shows that volatility is heteroscedastic. This leads to increased mispricing of options especially in the case of out of the money options as well as to a phenomenon known as volatility smile. As a consequence, researchers introduced various approaches to expand the model by allowing the volatility to be non-constant and to follow a sto-chastic process. It is the objective of this thesis to investigate if the pricing accuracy of the Black-Scholes model can be significantly improved by applying a stochastic volatility model.

Download or read book Martingale Methods in Financial Modelling written by Marek Musiela and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and self-contained treatment of the theory and practice of option pricing. The role of martingale methods in financial modeling is exposed. The emphasis is on using arbitrage-free models already accepted by the market as well as on building the new ones. Standard calls and puts together with numerous examples of exotic options such as barriers and quantos, for example on stocks, indices, currencies and interest rates are analysed. The importance of choosing a convenient numeraire in price calculations is explained. Mathematical and financial language is used so as to bring mathematicians closer to practical problems of finance and presenting to the industry useful maths tools.

Download or read book A Simple New Formula for Options with Stochastic Volatility written by Steven L. Heston and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper shows a relationship between bond pricing models and option pricing models with stochastic volatility. It exploits this relationship to find a new stochastic volatility model with a closed-form solution for European option prices. The model allows nonzero correlation between volatility and spot asset returns. When the correlation is unity the model contains the Black-Scholes [1973] model and Cox's [1975] constant elasticity of variance model as special cases. The option formula preserves the Black-Scholes property that changes in volatility are equivalent to changes in option expiration.

Download or read book Volatility Surface and Term Structure written by Kin Keung Lai and published by Routledge. This book was released on 2013-09-11 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides different financial models based on options to predict underlying asset price and design the risk hedging strategies. Authors of the book have made theoretical innovation to these models to enable the models to be applicable to real market. The book also introduces risk management and hedging strategies based on different criterions. These strategies provide practical guide for real option trading. This book studies the classical stochastic volatility and deterministic volatility models. For the former, the classical Heston model is integrated with volatility term structure. The correlation of Heston model is considered to be variable. For the latter, the local volatility model is improved from experience of financial practice. The improved local volatility surface is then used for price forecasting. VaR and CVaR are employed as standard criterions for risk management. The options trading strategies are also designed combining different types of options and they have been proven to be profitable in real market. This book is a combination of theory and practice. Users will find the applications of these financial models in real market to be effective and efficient.

Download or read book MODELES A VOLATILITE STOCHASTIQUE written by ABDELLAHE.. OULD BABOU and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: CETTE THESE PRESENTE UNE APPROCHE THEORIQUE DES MODELES A VOLATILITE STOCHASTIQUE AVEC UNE RESOLUTION ANALYTIQUE DE 3 SPECIFICATIONS DIFFERENTES DE VOLATILITE. CETTE RESOLUTION EST EFFECTUEE SOUS L'HYPOTHESE DE LOGNORMALITE. LE PREMIER MODELE INTRODUIT UN BRUIT BLANC SUR LA VOLATILITEE LE DEUXIEME MODELE UTILISE UNE RELATION VOLUME-VOLATILITE POUR INFERER UN PROCESSUS DE LA VOLATILITE A TRAVERS CELUI DES ACCROISSEMENTS NON ANTICIPES DE VOLUME DE TRANSACTION. LE TROISIEME MODELE EST A VOLATILI5TE MEAN-REVERTING QUI CORRESPOND AU CHEMINEMENT EMPIRIQUE DE LA VOLATILITE. CES MODELES FONT ENSUITE L'OBJET D'UNE ETUDE EMPIRIQUE SUR DES DONNEES DU MONEP POUR MESURER LES BIAIS QUI APPARAISSENT PAR RAPPORT AU MODELE DE BLACK-SHOLES. L'APPORT SE SITUE DONC DANS : - UNE RESOLUTION ANALYTIQUE DE MODELES A VOLATILITE STOCHASTIQUE. - UNE APPLICATION EMPIRIQUE DE CES SOLUTIONS.

Download or read book Mod lisation stochastique en finance written by Taoufik Chérif and published by . This book was released on 1996 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: CETTE THESE, REALISEE SOUS LA DIRECTION DU PROFESSEUR NICOLE EL KAROUI, EST CONSTITUEE DE TRAVAUX MOTIVES PAR LES PROBLEMES POSES PAR LA MODELISATION, L'EVALUATION ET LA COUVERTURE DES ACTIFS FINANCIERS. LA THEORIE DES PROCESSUS STOCHASTIQUES ET LE CALCUL D'ITO EN SONT LES OUTILS MATHEMATIQUES. LA PREMIERE PARTIE EST CONSTITUEE DE DEUX PAPIERS DONT LE SUJET EST L'ETUDE DES CONSEQUENCES DE L'ARBITRAGE MULTIDEVISE SUR L'EVALUATION DES ACTIFS CONTIGENTS DANS DEUX ECONOMIES DIFFERENTES, ET NOTAMMENT SUR L'EVALUATION DES OPTIONS QUANTO. LES CONSEQUENCES DE L'HYPOTHESE D'ABSENCE D'OPPORTUNITE D'ARBITRAGE (AOA), AINSI QUE LES TECHNIQUES DE CHANGEMENTS DE NUMERAIRES SONT EXPLOITEES. L'EVALUATION ET LA COUVERTURE DES OPTIONS QUANTO ET DES OPTIONS SUR LE CHANGE SONT RESOLUES DANS LE CADRE D'UN MODELE LINEAIRE GAUSSIEN, AINSI QUE DANS UN MODELE A VOLATILITE STOCHASTIQUE ENDOGENE DU TYPE QUADRATIQUE GAUSSIEN MULTIFACTORIEL. LA DUXIEME PARTIE DE CE MEMOIRE, CONSTITUEE DE TROIS ARTICLES, TRAITE DE L'EVALUATION ET LA COUVERTURE DES OPTIONS DE SOUS-JACENT DES CONTRATS FORWARDS ET FUTURES DANS LES MARCHES A TERME. LES MODELES CONSIDERES SONT DES MODELES D'ARBITRAGE DU TYPE HEATH-JARROW-MORTON. LE CAS DES OPTIONS SUR LES CONTRATS NOTIONNEL ET PIBOR DU MATIF EST ETUDIE. LES RESULTATS SONT TESTES SUR DES DONNEES DE MARCHE, LES STRATEGIES DE COUVERTURE INHERENTES AUX MODELES UTILISES SONT COMPAREES A CELLES IMPLIQUEES PAR LES MODELES CLASSIQUES DU TYPE BLACK ET SCHOLES GENERALISE. LA TROISIEME ET DERNIERE PARTIE COMPORTE DEUX PAPIERS. LE PREMIER ARTICLE TRAITE DE L'EVALUATION DES OPTIONS SUR TITRE ET SUR CONTRAT FUTURE DANS LE CADRE D'UN MODELE QUADRATIQUE GAUSSIEN. CE MODELE A VOLATILITE STOCHASTIQUE PRESENTE L'AVANTAGE D'AVOIR DES HYPOTHESES PEU CONTRAIGNANTES ET PLUS PROCHES DES DONNEES REELLES, TOUT EN CONSERVANT L'HYPOTHESE DE LA COMPLETUDE DES MARCHES ET UNE BONNE TRACTABILITE DES CALCULS. DES SIMULATIONS, DANS UN MODELE QUADRATIQUE GAUSSIEN BIFACTORIEL, MONTRENT NOTAMMENT DES FORMES DE SMILES ET DE SURFACES DE VOLATILITES POSSIBLES PAR CE MODELE. LE DERNIER PAPIER DONNE L'EVALUATION, SELON LE MEME PRINCIPE, DES OBLIGATIONS A COUPONS VARIABLES ET DES OPTIONS SUR CES OBLIGATIONS. CETTE OPTION, PAR LA NATURE DE SON SOUS-JACENT S'APPARENTE A UNE OPTION SUR OPTION. ON MONTRE NOTAMMENT QUE LES CHANGEMENTS DE NUMERAIRES ET LES TECHNIQUES DU CALCUL GAUSSIEN PERMETTENT D'EXHIBER UNE FORMULE QUASI-EXPLICITE POUR CETTE OPTION

Download or read book Analytically Tractable Stochastic Stock Price Models written by Archil Gulisashvili and published by Springer Science & Business Media. This book was released on 2012-09-04 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic analysis of stochastic stock price models is the central topic of the present volume. Special examples of such models are stochastic volatility models, that have been developed as an answer to certain imperfections in a celebrated Black-Scholes model of option pricing. In a stock price model with stochastic volatility, the random behavior of the volatility is described by a stochastic process. For instance, in the Hull-White model the volatility process is a geometric Brownian motion, the Stein-Stein model uses an Ornstein-Uhlenbeck process as the stochastic volatility, and in the Heston model a Cox-Ingersoll-Ross process governs the behavior of the volatility. One of the author's main goals is to provide sharp asymptotic formulas with error estimates for distribution densities of stock prices, option pricing functions, and implied volatilities in various stochastic volatility models. The author also establishes sharp asymptotic formulas for the implied volatility at extreme strikes in general stochastic stock price models. The present volume is addressed to researchers and graduate students working in the area of financial mathematics, analysis, or probability theory. The reader is expected to be familiar with elements of classical analysis, stochastic analysis and probability theory.

Download or read book Stochastic Volatility Modeling written by Lorenzo Bergomi and published by CRC Press. This book was released on 2015-12-16 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Packed with insights, Lorenzo Bergomi's Stochastic Volatility Modeling explains how stochastic volatility is used to address issues arising in the modeling of derivatives, including:Which trading issues do we tackle with stochastic volatility? How do we design models and assess their relevance? How do we tell which models are usable and when does c