Download or read book Math matiques financi res written by Pierre Devolder and published by . This book was released on 2018-04-20 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'objectif de l'ouvrage est de présenter de manière moderne et rigoureuse les outils de base des mathématiques financières, branche des mathématiques appliquées. Le but des maths fi est la modélisation, la quantification et la compréhension des phénomènes régissant les marchés financiers._x000D_ L'approche des auteurs est à la fois précise d'un point de vue mathématique et actualisée en intégrant des éléments récents : _x000D_ la gestion actif passif,_x000D_ la duration,_x000D_ la convexité,_x000D_ les produits de taux (les obligations)._x000D_ Le livre souligne ainsi l'imbrication étroite entre les mathématiques financières et la description des marchés financiers. Il montre que la finalité de ces outils mathématiques est de les dédier spécialement à l'intervention sur ces marchés et préalablement à leur compréhension.
Download or read book Statistique math matique et statistique des processus Collection m thodes stochastiques appliqu es written by BOSQ Denis and published by Lavoisier. This book was released on 2012-06-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: La plupart des manuels de statistique traitent seulement le cas des variables indépendantes et de même loi. Or, dans les applications, les variables observées sont très souvent corrélées. Les exemples sont nombreux en physique, chimie, biologie, économie, démographie ou finance. Pour combler cette lacune, cet ouvrage étudie la modélisation mathématique des phénomènes statistiques et s'intéresse plus particulièrement à la statistique des processus. Didactique et illustré de nombreux exercices, il comporte trois parties : la statistique mathématique, basée sur la théorie de la décision et le point de vue asymptotique, la statistique des processus à temps discret (processus ARMA) et à temps continu (processus de Poisson, processus de diffusion) et des compléments de probabilités. Statistique mathématique et statistique des processus s'adresse aux étudiants de master et aux élèves des grandes écoles. L'auteur Denis Bosq est professeur émérite à l'Université Pierre et Marie Curie. Il est l'auteur de nombreux articles et livres de recherche en statistique.
Download or read book Numerical Probability written by Gilles Pagès and published by Springer. This book was released on 2018-07-31 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a self-contained introduction to numerical methods in probability with a focus on applications to finance. Topics covered include the Monte Carlo simulation (including simulation of random variables, variance reduction, quasi-Monte Carlo simulation, and more recent developments such as the multilevel paradigm), stochastic optimization and approximation, discretization schemes of stochastic differential equations, as well as optimal quantization methods. The author further presents detailed applications to numerical aspects of pricing and hedging of financial derivatives, risk measures (such as value-at-risk and conditional value-at-risk), implicitation of parameters, and calibration. Aimed at graduate students and advanced undergraduate students, this book contains useful examples and over 150 exercises, making it suitable for self-study.
Download or read book Stochastic Finance written by Hans Föllmer and published by Walter de Gruyter. This book was released on 2011-01-28 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to financial mathematics. It is intended for graduate students in mathematics and for researchers working in academia and industry. The focus on stochastic models in discrete time has two immediate benefits. First, the probabilistic machinery is simpler, and one can discuss right away some of the key problems in the theory of pricing and hedging of financial derivatives. Second, the paradigm of a complete financial market, where all derivatives admit a perfect hedge, becomes the exception rather than the rule. Thus, the need to confront the intrinsic risks arising from market incomleteness appears at a very early stage. The first part of the book contains a study of a simple one-period model, which also serves as a building block for later developments. Topics include the characterization of arbitrage-free markets, preferences on asset profiles, an introduction to equilibrium analysis, and monetary measures of financial risk. In the second part, the idea of dynamic hedging of contingent claims is developed in a multiperiod framework. Topics include martingale measures, pricing formulas for derivatives, American options, superhedging, and hedging strategies with minimal shortfall risk. This third revised and extended edition now contains more than one hundred exercises. It also includes new material on risk measures and the related issue of model uncertainty, in particular a new chapter on dynamic risk measures and new sections on robust utility maximization and on efficient hedging with convex risk measures.
Download or read book Financial Math for Business and Economics written by Franz W. Peren and published by Springer Nature. This book was released on 2023-07-11 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compendium contains and explains essential mathematical formulas for financial economics and finance. A broad range of aids and supportive examples will help readers to understand the formulas and their practical applications. This mathematical formulary is presented in a practice-oriented, clear, and understandable manner, as it is needed for meaningful and relevant application in global business, as well as in the academic setting and economic practice. The topics presented include but are not limited to accumulation, discounting, annuity, interest calculation, redemption, investment, effective interest rates, ICMA, depreciation, and present value. Given its scope, the book offers an indispensable reference guide and is a must-read for undergraduate and graduate students, as well as managers, scholars, and lecturers in financial economics and business.
Download or read book Portfolio Theory and Arbitrage A Course in Mathematical Finance written by Ioannis Karatzas and published by American Mathematical Soc.. This book was released on 2021-08-12 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a mathematical theory for finance, based on a simple and intuitive absence-of-arbitrage principle. This posits that it should not be possible to fund a non-trivial liability, starting with initial capital arbitrarily near zero. The principle is easy-to-test in specific models, as it is described in terms of the underlying market characteristics; it is shown to be equivalent to the existence of the so-called “Kelly” or growth-optimal portfolio, of the log-optimal portfolio, and of appropriate local martingale deflators. The resulting theory is powerful enough to treat in great generality the fundamental questions of hedging, valuation, and portfolio optimization. The book contains a considerable amount of new research and results, as well as a significant number of exercises. It can be used as a basic text for graduate courses in Probability and Stochastic Analysis, and in Mathematical Finance. No prior familiarity with finance is required, but it is assumed that readers have a good working knowledge of real analysis, measure theory, and of basic probability theory. Familiarity with stochastic analysis is also assumed, as is integration with respect to continuous semimartingales.
Download or read book Modeling Financial Time Series with S PLUS written by Eric Zivot and published by Springer Science & Business Media. This book was released on 2007-10-10 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents an integration of theory, methods, and examples using the S-PLUS statistical modeling language and the S+FinMetrics module to facilitate the practice of financial econometrics. It is the first book to show the power of S-PLUS for the analysis of time series data. It is written for researchers and practitioners in the finance industry, academic researchers in economics and finance, and advanced MBA and graduate students in economics and finance. Readers are assumed to have a basic knowledge of S-PLUS and a solid grounding in basic statistics and time series concepts. This edition covers S+FinMetrics 2.0 and includes new chapters.
Download or read book Binomial Models in Finance written by John van der Hoek and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the modelling of prices of ?nancial assets in a simple d- crete time, discrete state, binomial framework. By avoiding the mathematical technicalitiesofcontinuoustime?nancewehopewehavemadethematerial accessible to a wide audience. Some of the developments and formulae appear here for the ?rst time in book form. We hope our book will appeal to various audiences. These include MBA s- dents,upperlevelundergraduatestudents,beginningdoctoralstudents,qu- titative analysts at a basic level and senior executives who seek material on new developments in ?nance at an accessible level. The basic building block in our book is the one-step binomial model where a known price today can take one of two possible values at a future time, which might, for example, be tomorrow, or next month, or next year. In this simple situation “risk neutral pricing” can be de?ned and the model can be applied to price forward contracts, exchange rate contracts and interest rate derivatives. In a few places we discuss multinomial models to explain the notions of incomplete markets and how pricing can be viewed in such a context, where unique prices are no longer available. The simple one-period framework can then be extended to multi-period m- els.TheCox-Ross-RubinsteinapproximationtotheBlackScholesoptionpr- ing formula is an immediate consequence. American, barrier and exotic - tions can all be discussed and priced using binomial models. More precise modelling issues such as implied volatility trees and implied binomial trees are treated, as well as interest rate models like those due to Ho and Lee; and Black, Derman and Toy.
Download or read book Math matique et statistique de l entreprise written by Alain Forcioli and published by De Boeck. This book was released on 1997 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: La généralisation de l'utilisation de l'outil informatique dans l'entreprise nécessite une transformation radicale de l'apprentissage et de la pratique des techniques quantitatives de gestion. Les auteurs mettent à profit leur expérience pédagogique et professionnelle pour montrer comment formaliser les problèmes à l'aide d'outils statistiques et mathématiques, puis comment les résoudre par un recours systématique au tableur Excel. Les thèmes développés dans ce cadre sont alors ceux qui se prêtent le mieux à un traitement (calcul ou simulation) sous Excel : statistiques descriptives, calcul de probabilités, modélisation, calcul matriciel et financier, optimisation. Une variété d'exemples issus de la réalité de l'entreprise illustre chacune des notions exposées. Cet ouvrage s'adresse : - aux enseignants désireux de développer une méthode d'enseignement originale et pluridisciplinaire, - aux étudiants de premier et second cycle d'économie et de gestion, soucieux de pratiquer les moyens modernes de calcul, - aux gestionnaires susceptibles de développer ou d'exploiter dans l'entreprise des outils de simulation.
Download or read book Financial Mathematics Volume II written by Giuseppe Campolieti and published by CRC Press. This book was released on 2022-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has been tested and refined through years of classroom teaching experience. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. This textbook provides complete coverage of discrete-time financial models that form the cornerstones of financial derivative pricing theory. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. Key features: In-depth coverage of discrete-time theory and methodology Numerous, fully worked out examples and exercises in every chapter Mathematically rigorous and consistent yet bridging various basic and more advanced concepts Judicious balance of financial theory, mathematical, and computational methods Guide to Material This revision contains: Almost 200 pages worth of new material in all chapters A new chapter on elementary probability theory An expanded the set of solved problems and additional exercises Answers to all exercises This book is a comprehensive, self-contained, and unified treatment of the main theory and application of mathematical methods behind modern-day financial mathematics. The text complements Financial Mathematics: A Comprehensive Treatment in Continuous Time, by the same authors, also published by CRC Press.
Download or read book From Stochastic Calculus to Mathematical Finance written by Yu. Kabanov and published by Springer Science & Business Media. This book was released on 2007-04-03 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to the Russian mathematician Albert Shiryaev on his 70th birthday, this is a collection of papers written by his former students, co-authors and colleagues. The book represents the modern state of art of a quickly maturing theory and will be an essential source and reading for researchers in this area. Diversity of topics and comprehensive style of the papers make the book attractive for PhD students and young researchers.
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1936 with total page 1176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book M thodes math matiques de la finance written by Gabrielle Demange and published by . This book was released on 2005 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parallèlement au développement et à la sophistication spectaculaire des marchés et les instruments financiers, la théorie de la Finance a elle aussi connu récemment un essor considérable. Cette théorie s'appuie sur des modèles mathématiques mettant en œuvre des outils relativement complexes : optimisation, processus autorégressifs, programmation dynamique, calcul différentiel stochastique, équations aux dérivées partielles et contrôle optimal. Le but de cet ouvrage est de donner un éventail aussi large que possible de ces outils, tout en montrant précisément la façon dont on doit les appliquer en Finance.
Download or read book Handbook of Financial Econometrics and Statistics written by Cheng-Few Lee and published by Springer. This book was released on 2014-09-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Financial Econometrics and Statistics provides, in four volumes and over 100 chapters, a comprehensive overview of the primary methodologies in econometrics and statistics as applied to financial research. Including overviews of key concepts by the editors and in-depth contributions from leading scholars around the world, the Handbook is the definitive resource for both classic and cutting-edge theories, policies, and analytical techniques in the field. Volume 1 (Parts I and II) covers all of the essential theoretical and empirical approaches. Volumes 2, 3, and 4 feature contributed entries that showcase the application of financial econometrics and statistics to such topics as asset pricing, investment and portfolio research, option pricing, mutual funds, and financial accounting research. Throughout, the Handbook offers illustrative case examples and applications, worked equations, and extensive references, and includes both subject and author indices.
Download or read book Markov Processes and Applications written by Etienne Pardoux and published by John Wiley & Sons. This book was released on 2008-11-20 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This well-written book provides a clear and accessible treatment of the theory of discrete and continuous-time Markov chains, with an emphasis towards applications. The mathematical treatment is precise and rigorous without superfluous details, and the results are immediately illustrated in illuminating examples. This book will be extremely useful to anybody teaching a course on Markov processes." Jean-François Le Gall, Professor at Université de Paris-Orsay, France. Markov processes is the class of stochastic processes whose past and future are conditionally independent, given their present state. They constitute important models in many applied fields. After an introduction to the Monte Carlo method, this book describes discrete time Markov chains, the Poisson process and continuous time Markov chains. It also presents numerous applications including Markov Chain Monte Carlo, Simulated Annealing, Hidden Markov Models, Annotation and Alignment of Genomic sequences, Control and Filtering, Phylogenetic tree reconstruction and Queuing networks. The last chapter is an introduction to stochastic calculus and mathematical finance. Features include: The Monte Carlo method, discrete time Markov chains, the Poisson process and continuous time jump Markov processes. An introduction to diffusion processes, mathematical finance and stochastic calculus. Applications of Markov processes to various fields, ranging from mathematical biology, to financial engineering and computer science. Numerous exercises and problems with solutions to most of them
Download or read book S minaire de Probabilit s XLVI written by Catherine Donati-Martin and published by Springer. This book was released on 2014-12-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a broad overview of the current state of the art in probability theory and its applications, and featuring an article coauthored by Mark Yor, this volume contains contributions on branching processes, Lévy processes, random walks and martingales and their connection with, among other topics, rough paths, semi-groups, heat kernel asymptotics and mathematical finance.
