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Author: Julien Guyon Publisher: CRC Press ISBN: 1466570334 Category : Business & Economics Languages : en Pages : 486
Book Description
New Tools to Solve Your Option Pricing Problems For nonlinear PDEs encountered in quantitative finance, advanced probabilistic methods are needed to address dimensionality issues. Written by two leaders in quantitative research—including Risk magazine’s 2013 Quant of the Year—Nonlinear Option Pricing compares various numerical methods for solving high-dimensional nonlinear problems arising in option pricing. Designed for practitioners, it is the first authored book to discuss nonlinear Black-Scholes PDEs and compare the efficiency of many different methods. Real-World Solutions for Quantitative Analysts The book helps quants develop both their analytical and numerical expertise. It focuses on general mathematical tools rather than specific financial questions so that readers can easily use the tools to solve their own nonlinear problems. The authors build intuition through numerous real-world examples of numerical implementation. Although the focus is on ideas and numerical examples, the authors introduce relevant mathematical notions and important results and proofs. The book also covers several original approaches, including regression methods and dual methods for pricing chooser options, Monte Carlo approaches for pricing in the uncertain volatility model and the uncertain lapse and mortality model, the Markovian projection method and the particle method for calibrating local stochastic volatility models to market prices of vanilla options with/without stochastic interest rates, the a + bλ technique for building local correlation models that calibrate to market prices of vanilla options on a basket, and a new stochastic representation of nonlinear PDE solutions based on marked branching diffusions.
Author: Julien Guyon Publisher: CRC Press ISBN: 1466570334 Category : Business & Economics Languages : en Pages : 486
Book Description
New Tools to Solve Your Option Pricing Problems For nonlinear PDEs encountered in quantitative finance, advanced probabilistic methods are needed to address dimensionality issues. Written by two leaders in quantitative research—including Risk magazine’s 2013 Quant of the Year—Nonlinear Option Pricing compares various numerical methods for solving high-dimensional nonlinear problems arising in option pricing. Designed for practitioners, it is the first authored book to discuss nonlinear Black-Scholes PDEs and compare the efficiency of many different methods. Real-World Solutions for Quantitative Analysts The book helps quants develop both their analytical and numerical expertise. It focuses on general mathematical tools rather than specific financial questions so that readers can easily use the tools to solve their own nonlinear problems. The authors build intuition through numerous real-world examples of numerical implementation. Although the focus is on ideas and numerical examples, the authors introduce relevant mathematical notions and important results and proofs. The book also covers several original approaches, including regression methods and dual methods for pricing chooser options, Monte Carlo approaches for pricing in the uncertain volatility model and the uncertain lapse and mortality model, the Markovian projection method and the particle method for calibrating local stochastic volatility models to market prices of vanilla options with/without stochastic interest rates, the a + bλ technique for building local correlation models that calibrate to market prices of vanilla options on a basket, and a new stochastic representation of nonlinear PDE solutions based on marked branching diffusions.
Author: Patrick Boyle Publisher: Walter de Gruyter GmbH & Co KG ISBN: 1547401214 Category : Business & Economics Languages : en Pages : 273
Book Description
Trading and Pricing Financial Derivatives is an introduction to the world of futures, options, and swaps. Investors who are interested in deepening their knowledge of derivatives of all kinds will find this book to be an invaluable resource. The book is also useful in a very applied course on derivative trading. The authors delve into the history of options pricing; simple strategies of options trading; binomial tree valuation; Black-Scholes option valuation; option sensitivities; risk management and interest rate swaps in this immensely informative yet easy to comprehend work. Using their vast working experience in the financial markets at international investment banks and hedge funds since the late 1990s and teaching derivatives and investment courses at the Master's level, Patrick Boyle and Jesse McDougall put forth their knowledge and expertise in clearly explained concepts. This book does not presuppose advanced mathematical knowledge, though it is presented for completeness for those that may benefit from it, and is designed for a general audience, suitable for beginners through to those with intermediate knowledge of the subject.
Author: Nigel J. Cutland Publisher: Springer Science & Business Media ISBN: 1447144074 Category : Mathematics Languages : en Pages : 329
Book Description
Derivatives are financial entities whose value is derived from the value of other more concrete assets such as stocks and commodities. They are an important ingredient of modern financial markets. This book provides an introduction to the mathematical modelling of real world financial markets and the rational pricing of derivatives, which is part of the theory that not only underpins modern financial practice but is a thriving area of mathematical research. The central theme is the question of how to find a fair price for a derivative; defined to be a price at which it is not possible for any trader to make a risk free profit by trading in the derivative. To keep the mathematics as simple as possible, while explaining the basic principles, only discrete time models with a finite number of possible future scenarios are considered. The theory examines the simplest possible financial model having only one time step, where many of the fundamental ideas occur, and are easily understood. Proceeding slowly, the theory progresses to more realistic models with several stocks and multiple time steps, and includes a comprehensive treatment of incomplete models. The emphasis throughout is on clarity combined with full rigour. The later chapters deal with more advanced topics, including how the discrete time theory is related to the famous continuous time Black-Scholes theory, and a uniquely thorough treatment of American options. The book assumes no prior knowledge of financial markets, and the mathematical prerequisites are limited to elementary linear algebra and probability. This makes it accessible to undergraduates in mathematics as well as students of other disciplines with a mathematical component. It includes numerous worked examples and exercises, making it suitable for self-study.
Author: Steve Shaw Publisher: Trafford Publishing ISBN: 1553698576 Category : Business & Economics Languages : en Pages : 182
Book Description
BLACK-SCHOLES OPTIONS VALUATION FACTOR TABLE AT $1 OF BOTH EXERCISE PRICE AND STOCK OPTION" provides you with a simple classic way to use Nobel prized "Black-Scholes Option Pricing Model" in valuing stock options granted at the market price. The basic assumption is that the stock options are granted at the market price, which is true for most companies, although some companies do grant options at premium or discount to the market price at the date of grant. This book gives the Valuation Factors (per share Black-Scholes value) of option, assuming both exercise price and stock price are $1, at different combinations of estimated dividend yield, expected life of options, risk free interest rate, and estimated volatility. Determining the value of stock options with this book is similar to defining the present value of future payments by using a present value table at $1. Investors first find a Valuation Factor by matching their assumptions on risk-free interest rates (using Treasury STRIPS), estimated dividend yield, expected life of options and estimated volatility, and then multiply it by either the exercise price or the stock price followed by the number of shares. With this book, business professionals can easily prepare their FAS 123 pro-form disclosures on both their annual and interim reports as required by SEC.
Author: Giorgio Consigli Publisher: Springer ISBN: 3319416138 Category : Business & Economics Languages : en Pages : 310
Book Description
The scope of this volume is primarily to analyze from different methodological perspectives similar valuation and optimization problems arising in financial applications, aimed at facilitating a theoretical and computational integration between methods largely regarded as alternatives. Increasingly in recent years, financial management problems such as strategic asset allocation, asset-liability management, as well as asset pricing problems, have been presented in the literature adopting formulation and solution approaches rooted in stochastic programming, robust optimization, stochastic dynamic programming (including approximate SDP) methods, as well as policy rule optimization, heuristic approaches and others. The aim of the volume is to facilitate the comprehension of the modeling and methodological potentials of those methods, thus their common assumptions and peculiarities, relying on similar financial problems. The volume will address different valuation problems common in finance related to: asset pricing, optimal portfolio management, risk measurement, risk control and asset-liability management. The volume features chapters of theoretical and practical relevance clarifying recent advances in the associated applied field from different standpoints, relying on similar valuation problems and, as mentioned, facilitating a mutual and beneficial methodological and theoretical knowledge transfer. The distinctive aspects of the volume can be summarized as follows: Strong benchmarking philosophy, with contributors explicitly asked to underline current limits and desirable developments in their areas. Theoretical contributions, aimed at advancing the state-of-the-art in the given domain with a clear potential for applications The inclusion of an algorithmic-computational discussion of issues arising on similar valuation problems across different methods. Variety of applications: rarely is it possible within a single volume to consider and analyze different, and possibly competing, alternative optimization techniques applied to well-identified financial valuation problems. Clear definition of the current state-of-the-art in each methodological and applied area to facilitate future research directions.
Author: Aswath Damodaran Publisher: John Wiley & Sons ISBN: 1118161084 Category : Business & Economics Languages : en Pages : 661
Book Description
"Aswath Damodaran is simply the best valuation teacher around. If you are interested in the theory or practice of valuation, you should have Damodaran on Valuation on your bookshelf. You can bet that I do." -- Michael J. Mauboussin, Chief Investment Strategist, Legg Mason Capital Management and author of More Than You Know: Finding Financial Wisdom in Unconventional Places In order to be a successful CEO, corporate strategist, or analyst, understanding the valuation process is a necessity. The second edition of Damodaran on Valuation stands out as the most reliable book for answering many of today?s critical valuation questions. Completely revised and updated, this edition is the ideal book on valuation for CEOs and corporate strategists. You'll gain an understanding of the vitality of today?s valuation models and develop the acumen needed for the most complex and subtle valuation scenarios you will face.
Author: Wolfgang Hafner Publisher: Springer Science & Business Media ISBN: 3540857117 Category : Business & Economics Languages : en Pages : 553
Book Description
In 1908, Vinzenz Bronzin, a professor of mathematics at the Accademia di Commercio e Nautica in Trieste, published a booklet in German entitled Theorie der Prämiengeschäfte (Theory of Premium Contracts) which is an old type of option contract. Almost like Bachelier’s now famous dissertation (1900), the work seems to have been forgotten shortly after it was published. However, almost every element of modern option pricing can be found in Bronzin’s book. He derives option prices for an illustrative set of distributions, including the Normal. - This volume includes a reprint of the original German text, a translation, as well as an appreciation of Bronzin's work from various perspectives (economics, history of finance, sociology, economic history) including some details about the professional life and circumstances of the author. The book brings Bronzin's early work to light again and adds an almost forgotten piece of research to the theory of option pricing.
Author: Aswath Damodaran Publisher: FT Press ISBN: 9780130406521 Category : Business & Economics Languages : en Pages : 504
Book Description
Concurrent with the rise of technology companies, particularly dot.coms. there has been a disquiet among investors. Just what is their worth? How do you assess them as an investor? This book, by Damodaran, who is considered the world's leading authority on valuation, answers these questions and more.
Author: Julien Guyon
Author: Julien Guyon
Author: Sebastian Paik
Author: Patrick Boyle
Author: Nigel J. Cutland
Author: 
Author: Steve Shaw
Author: Giorgio Consigli
Author: Aswath Damodaran
Author: Wolfgang Hafner
Author: Aswath Damodaran