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Author :Ole E Barndorff-Nielsen Publisher :World Scientific Publishing Company ISBN 13 :9814678600 Total Pages :344 pages Book Rating :4.8/5 (146 download)
Book Synopsis Change of Time and Change of Measure by : Ole E Barndorff-Nielsen
Download or read book Change of Time and Change of Measure written by Ole E Barndorff-Nielsen and published by World Scientific Publishing Company. This book was released on 2015-05-07 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Change of Time and Change of Measure provides a comprehensive account of two topics that are of particular significance in both theoretical and applied stochastics: random change of time and change of probability law. Random change of time is key to understanding the nature of various stochastic processes, and gives rise to interesting mathematical results and insights of importance for the modeling and interpretation of empirically observed dynamic processes. Change of probability law is a technique for solving central questions in mathematical finance, and also has a considerable role in insurance mathematics, large deviation theory, and other fields. The book comprehensively collects and integrates results from a number of scattered sources in the literature and discusses the importance of the results relative to the existing literature, particularly with regard to mathematical finance. In this Second Edition a Chapter 13 entitled 'A Wider View' has been added. This outlines some of the developments that have taken place in the area of Change of Time and Change of Measure since the publication of the First Edition. Most of these developments have their root in the study of the Statistical Theory of Turbulence rather than in Financial Mathematics and Econometrics, and they form part of the new research area termed 'Ambit Stochastics'.
Book Synopsis Change of Time and Change of Measure by : Ole E. Barndorff-Nielsen
Download or read book Change of Time and Change of Measure written by Ole E. Barndorff-Nielsen and published by World Scientific. This book was released on 2010 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of two topics that are of particular significance in both theoretical and applied stochastics: random change of time and change of probability law. The book comprehensively collects and integrates results from a number of scattered sources in the literature and discusses the importance of the results.
Book Synopsis Diffusions, Markov Processes and Martingales: Volume 2, Itô Calculus by : L. C. G. Rogers
Download or read book Diffusions, Markov Processes and Martingales: Volume 2, Itô Calculus written by L. C. G. Rogers and published by Cambridge University Press. This book was released on 2000-09-07 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This celebrated volume gives an accessible introduction to stochastic integrals, stochastic differential equations, excursion theory and the general theory of processes.
Book Synopsis Change of Time and Change of Measure by : Ole E. Barndorff-Nielsen
Download or read book Change of Time and Change of Measure written by Ole E. Barndorff-Nielsen and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Change of Time Methods in Quantitative Finance by : Anatoliy Swishchuk
Download or read book Change of Time Methods in Quantitative Finance written by Anatoliy Swishchuk and published by Springer. This book was released on 2016-05-31 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the history of Change of Time Methods (CTM), the connections of CTM to stochastic volatilities and finance, fundamental aspects of the theory of CTM, basic concepts, and its properties. An emphasis is given on many applications of CTM in financial and energy markets, and the presented numerical examples are based on real data. The change of time method is applied to derive the well-known Black-Scholes formula for European call options, and to derive an explicit option pricing formula for a European call option for a mean-reverting model for commodity prices. Explicit formulas are also derived for variance and volatility swaps for financial markets with a stochastic volatility following a classical and delayed Heston model. The CTM is applied to price financial and energy derivatives for one-factor and multi-factor alpha-stable Levy-based models. Readers should have a basic knowledge of probability and statistics, and some familiarity with stochastic processes, such as Brownian motion, Levy process and martingale.
Book Synopsis Optimal Stopping and Free-Boundary Problems by : Goran Peskir
Download or read book Optimal Stopping and Free-Boundary Problems written by Goran Peskir and published by Springer Science & Business Media. This book was released on 2006-11-10 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discloses a fascinating connection between optimal stopping problems in probability and free-boundary problems. It focuses on key examples and the theory of optimal stopping is exposed at its basic principles in discrete and continuous time covering martingale and Markovian methods. Methods of solution explained range from change of time, space, and measure, to more recent ones such as local time-space calculus and nonlinear integral equations. A chapter on stochastic processes makes the material more accessible. The book will appeal to those wishing to master stochastic calculus via fundamental examples. Areas of application include financial mathematics, financial engineering, and mathematical statistics.
Book Synopsis Elementary Stochastic Calculus with Finance in View by : Thomas Mikosch
Download or read book Elementary Stochastic Calculus with Finance in View written by Thomas Mikosch and published by World Scientific. This book was released on 1998 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling with the Ito integral or stochastic differential equations has become increasingly important in various applied fields, including physics, biology, chemistry and finance. However, stochastic calculus is based on a deep mathematical theory. This book is suitable for the reader without a deep mathematical background. It gives an elementary introduction to that area of probability theory, without burdening the reader with a great deal of measure theory. Applications are taken from stochastic finance. In particular, the Black -- Scholes option pricing formula is derived. The book can serve as a text for a course on stochastic calculus for non-mathematicians or as elementary reading material for anyone who wants to learn about Ito calculus and/or stochastic finance.
Book Synopsis Brownian Motion and Stochastic Calculus by : Ioannis Karatzas
Download or read book Brownian Motion and Stochastic Calculus written by Ioannis Karatzas and published by Springer. This book was released on 2014-03-27 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-course text, written for readers familiar with measure-theoretic probability and discrete-time processes, wishing to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed, illustrated by results concerning representations of martingales and change of measure on Wiener space, which in turn permit a presentation of recent advances in financial economics. The book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The whole is backed by a large number of problems and exercises.
Book Synopsis Introduction to Stochastic Calculus with Applications by : Fima C. Klebaner
Download or read book Introduction to Stochastic Calculus with Applications written by Fima C. Klebaner and published by Imperial College Press. This book was released on 2005 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise treatment of stochastic calculus and its applications. It gives a simple but rigorous treatment of the subject including a range of advanced topics, it is useful for practitioners who use advanced theoretical results. It covers advanced applications, such as models in mathematical finance, biology and engineering.Self-contained and unified in presentation, the book contains many solved examples and exercises. It may be used as a textbook by advanced undergraduates and graduate students in stochastic calculus and financial mathematics. It is also suitable for practitioners who wish to gain an understanding or working knowledge of the subject. For mathematicians, this book could be a first text on stochastic calculus; it is good companion to more advanced texts by a way of examples and exercises. For people from other fields, it provides a way to gain a working knowledge of stochastic calculus. It shows all readers the applications of stochastic calculus methods and takes readers to the technical level required in research and sophisticated modelling.This second edition contains a new chapter on bonds, interest rates and their options. New materials include more worked out examples in all chapters, best estimators, more results on change of time, change of measure, random measures, new results on exotic options, FX options, stochastic and implied volatility, models of the age-dependent branching process and the stochastic Lotka-Volterra model in biology, non-linear filtering in engineering and five new figures.Instructors can obtain slides of the text from the author.
Book Synopsis Modeling and Pricing of Swaps for Financial and Energy Markets with Stochastic Volatilities by : Anatoliy Swishchuk
Download or read book Modeling and Pricing of Swaps for Financial and Energy Markets with Stochastic Volatilities written by Anatoliy Swishchuk and published by World Scientific. This book was released on 2013-06-03 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and Pricing of Swaps for Financial and Energy Markets with Stochastic Volatilities is devoted to the modeling and pricing of various kinds of swaps, such as those for variance, volatility, covariance, correlation, for financial and energy markets with different stochastic volatilities, which include CIR process, regime-switching, delayed, mean-reverting, multi-factor, fractional, Levy-based, semi-Markov and COGARCH(1,1). One of the main methods used in this book is change of time method. The book outlines how the change of time method works for different kinds of models and problems arising in financial and energy markets and the associated problems in modeling and pricing of a variety of swaps. The book also contains a study of a new model, the delayed Heston model, which improves the volatility surface fitting as compared with the classical Heston model. The author calculates variance and volatility swaps for this model and provides hedging techniques. The book considers content on the pricing of variance and volatility swaps and option pricing formula for mean-reverting models in energy markets. Some topics such as forward and futures in energy markets priced by multi-factor Levy models and generalization of Black-76 formula with Markov-modulated volatility are part of the book as well, and it includes many numerical examples such as S&P60 Canada Index, S&P500 Index and AECO Natural Gas Index. Contents:Stochastic VolatilityStochastic Volatility ModelsSwapsChange of Time MethodsBlack-Scholes Formula by Change of Time MethodModeling and Pricing of Swaps for Heston ModelModeling and Pricing of Variance Swaps for Stochastic Volatilities with DelayModeling and Pricing of Variance Swaps for Multi-Factor Stochastic Volatilities with DelayPricing Variance Swaps for Stochastic Volatilities with Delay and JumpsVariance Swap for Local Lévy-Based Stochastic Volatility with DelayDelayed Heston Model: Improvement of the Volatility Surface FittingPricing and Hedging of Volatility Swap in the Delayed Heston ModelPricing of Variance and Volatility Swaps with Semi-Markov VolatilitiesCovariance and Correlation Swaps for Markov-Modulated VolatilitiesVolatility and Variance Swaps for the COGARCH(1,1) ModelVariance and Volatility Swaps for Volatilities Driven by Fractional Brownian MotionVariance and Volatility Swaps in Energy MarketsExplicit Option Pricing Formula for a Mean-Reverting Asset in Energy MarketsForward and Futures in Energy Markets: Multi-Factor Lévy ModelsGeneralization of Black-76 Formula: Markov-Modulated Volatility Readership: Post-graduate level researchers and professionals with interest in the modeling and pricing of swaps for energy and financial markets. Keywords:Stochastic Volatilities;Variance, Volatility, Covariance, Correlation Swaps;Change of Time;Option Pricing;Stochastic Volatilities with Delay;Multi-Factor Stochastic Volatilities Models;Regime-Switching Stochastic Volatilities;Levy-Based Stochastic Volatilities with Delay;COGARCH Stochastic Volatility;Stochastic Volatility Driven by Fractional Brownian Motion;Delayed Heston Model;Semi-Markov Stochastic Volatilities;Energy Markets;Forward and Futures in Energy MarketsKey Features:Provides coverage on topic of swaps not covered in such detail by other titles, in relation to energy and financial marketsIn particular, offers a comprehensive treatment of various types of swaps and a variety of stochastic volatility models, in relation to energy and financial marketsReviews: “A separate session about the derivative pricing on the energy market is included. Moreover, this book provides many numerical examples to illustrate applications of the stochastic volatility pricing models. This book is quite useful not only for academics and researchers in mathematical and energy finance, but also for practitioners in the financial and energy industries.” Zentralblatt MATH
Book Synopsis Stochastic Calculus for Finance II by : Steven E. Shreve
Download or read book Stochastic Calculus for Finance II written by Steven E. Shreve and published by Springer Science & Business Media. This book was released on 2004-06-03 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions. In summary, this is a well-written text that treats the key classical models of finance through an applied probability approach....It should serve as an excellent introduction for anyone studying the mathematics of the classical theory of finance." --SIAM
Book Synopsis The Economics of Continuous-Time Finance by : Bernard Dumas
Download or read book The Economics of Continuous-Time Finance written by Bernard Dumas and published by MIT Press. This book was released on 2017-10-27 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to economic applications of the theory of continuous-time finance that strikes a balance between mathematical rigor and economic interpretation of financial market regularities. This book introduces the economic applications of the theory of continuous-time finance, with the goal of enabling the construction of realistic models, particularly those involving incomplete markets. Indeed, most recent applications of continuous-time finance aim to capture the imperfections and dysfunctions of financial markets—characteristics that became especially apparent during the market turmoil that started in 2008. The book begins by using discrete time to illustrate the basic mechanisms and introduce such notions as completeness, redundant pricing, and no arbitrage. It develops the continuous-time analog of those mechanisms and introduces the powerful tools of stochastic calculus. Going beyond other textbooks, the book then focuses on the study of markets in which some form of incompleteness, volatility, heterogeneity, friction, or behavioral subtlety arises. After presenting solutions methods for control problems and related partial differential equations, the text examines portfolio optimization and equilibrium in incomplete markets, interest rate and fixed-income modeling, and stochastic volatility. Finally, it presents models where investors form different beliefs or suffer frictions, form habits, or have recursive utilities, studying the effects not only on optimal portfolio choices but also on equilibrium, or the price of primitive securities. The book strikes a balance between mathematical rigor and the need for economic interpretation of financial market regularities, although with an emphasis on the latter.
Book Synopsis Stochastic Simulation: Algorithms and Analysis by : Søren Asmussen
Download or read book Stochastic Simulation: Algorithms and Analysis written by Søren Asmussen and published by Springer Science & Business Media. This book was released on 2007-07-14 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sampling-based computational methods have become a fundamental part of the numerical toolset of practitioners and researchers across an enormous number of different applied domains and academic disciplines. This book provides a broad treatment of such sampling-based methods, as well as accompanying mathematical analysis of the convergence properties of the methods discussed. The reach of the ideas is illustrated by discussing a wide range of applications and the models that have found wide usage. The first half of the book focuses on general methods; the second half discusses model-specific algorithms. Exercises and illustrations are included.
Book Synopsis Risk Neutral Pricing and Financial Mathematics by : Peter M. Knopf
Download or read book Risk Neutral Pricing and Financial Mathematics written by Peter M. Knopf and published by Elsevier. This book was released on 2015-07-29 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk Neutral Pricing and Financial Mathematics: A Primer provides a foundation to financial mathematics for those whose undergraduate quantitative preparation does not extend beyond calculus, statistics, and linear math. It covers a broad range of foundation topics related to financial modeling, including probability, discrete and continuous time and space valuation, stochastic processes, equivalent martingales, option pricing, and term structure models, along with related valuation and hedging techniques. The joint effort of two authors with a combined 70 years of academic and practitioner experience, Risk Neutral Pricing and Financial Mathematics takes a reader from learning the basics of beginning probability, with a refresher on differential calculus, all the way to Doob-Meyer, Ito, Girsanov, and SDEs. It can also serve as a useful resource for actuaries preparing for Exams FM and MFE (Society of Actuaries) and Exams 2 and 3F (Casualty Actuarial Society). Includes more subjects than other books, including probability, discrete and continuous time and space valuation, stochastic processes, equivalent martingales, option pricing, term structure models, valuation, and hedging techniques Emphasizes introductory financial engineering, financial modeling, and financial mathematics Suited for corporate training programs and professional association certification programs
Book Synopsis Growing Younger: How to Measure & Change Your Body's Age by : Robert F. Morgan
Download or read book Growing Younger: How to Measure & Change Your Body's Age written by Robert F. Morgan and published by Morgan Foundation Publishers. This book was released on 2005-08 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Techniques in Finance by : Ales Cerný
Download or read book Mathematical Techniques in Finance written by Ales Cerný and published by Princeton University Press. This book was released on 2009-07-06 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 2003, Mathematical Techniques in Finance has become a standard textbook for master's-level finance courses containing a significant quantitative element while also being suitable for finance PhD students. This fully revised second edition continues to offer a carefully crafted blend of numerical applications and theoretical grounding in economics, finance, and mathematics, and provides plenty of opportunities for students to practice applied mathematics and cutting-edge finance. Ales Cerný mixes tools from calculus, linear algebra, probability theory, numerical mathematics, and programming to analyze in an accessible way some of the most intriguing problems in financial economics. The textbook is the perfect hands-on introduction to asset pricing, optimal portfolio selection, risk measurement, and investment evaluation. The new edition includes the most recent research in the area of incomplete markets and unhedgeable risks, adds a chapter on finite difference methods, and thoroughly updates all bibliographic references. Eighty figures, over seventy examples, twenty-five simple ready-to-run computer programs, and several spreadsheets enhance the learning experience. All computer codes have been rewritten using MATLAB and online supplementary materials have been completely updated. A standard textbook for graduate finance courses Introduction to asset pricing, portfolio selection, risk measurement, and investment evaluation Detailed examples and MATLAB codes integrated throughout the text Exercises and summaries of main points conclude each chapter
Book Synopsis Advanced Financial Modelling by : Hansjörg Albrecher
Download or read book Advanced Financial Modelling written by Hansjörg Albrecher and published by Walter de Gruyter. This book was released on 2009 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This book is a collection of state-of-the-art surveys on various topics in mathematical finance, with an emphasis on recent modelling and computational approaches. The volume is related to a a ~Special Semester on Stochastics with Emphasis on Financea (TM) that took place from September to December 2008 at the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences in Linz, Austria
