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A Game Theory Analysis Of Options

Author: Alexandre C. Ziegler
Publisher: Springer Science & Business Media
ISBN: 3540246908
Size: 44.64 MB
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Modern option pricing theory was developed in the late sixties and early seventies by F. Black, R. e. Merton and M. Scholes as an analytical tool for pricing and hedging option contracts and over-the-counter warrants. How ever, already in the seminal paper by Black and Scholes, the applicability of the model was regarded as much broader. In the second part of their paper, the authors demonstrated that a levered firm's equity can be regarded as an option on the value of the firm, and thus can be priced by option valuation techniques. A year later, Merton showed how the default risk structure of cor porate bonds can be determined by option pricing techniques. Option pricing models are now used to price virtually the full range of financial instruments and financial guarantees such as deposit insurance and collateral, and to quantify the associated risks. Over the years, option pricing has evolved from a set of specific models to a general analytical framework for analyzing the production process of financial contracts and their function in the financial intermediation process in a continuous time framework. However, very few attempts have been made in the literature to integrate game theory aspects, i. e. strategic financial decisions of the agents, into the continuous time framework. This is the unique contribution of the thesis of Dr. Alexandre Ziegler. Benefiting from the analytical tractability of contin uous time models and the closed form valuation models for derivatives, Dr.

A Game Theory Analysis Of Options

Author: Alexandre Ziegler
Publisher: Springer Science & Business Media
ISBN: 3662215896
Size: 23.61 MB
Format: PDF, ePub, Mobi
View: 1076
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Modem option pricing theory was developed in the late sixties and early seventies by F. Black, R. C. Merton and M. Scholes as an analytical tool for pricing and hedging option contracts and over-the-counter warrants. However, already in the seminal paper by Black and Scholes, the applicability of the model was regarded as much broader. In the second part of their paper, the authors demonstrated that a levered firm's equity can be regarded as an option on the value of the firm, and thus can be priced by option valuation techniques. A year later, Merton showed how the default risk structure of corporate bonds can be determined by option pricing techniques. Option pricing models are now used to price virtually the full range of financial instruments and financial guarantees such as deposit insurance and collateral, and to quantify the associated risks. Over the years, option pricing has evolved from a set of specific models to a general analytical framework for analyzing the production process of financial contracts and their function in the financial intermediation process in a continuous time framework. However, virtually no attempt has been made in the literature to integrate game theory aspects, i. e. strategic financial decisions of the agents, into the continuous time framework. This is the unique contribution of the thesis of Dr. Alexandre Ziegler. Benefiting from the analytical tractability of continuous time models and the closed form valuation models for derivatives, Dr.

Stochastic Calculus For Finance Ii

Author: Steven E. Shreve
Publisher: Springer Science & Business Media
ISBN: 9780387401010
Size: 54.15 MB
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This is the second volume in a two-volume sequence on Stochastic calculus models in finance. This second volume, which does not require the first volume as a prerequisite, covers infinite state models and continuous time stochastic calculus. The book is suitable for beginning masters-level students in mathematical finance and financial engineering.

Stochastic Calculus For Finance I

Author: Steven Shreve
Publisher: Springer Science & Business Media
ISBN: 9780387401003
Size: 32.12 MB
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Developed for the professional Master's program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S. Has been tested in the classroom and revised over a period of several years Exercises conclude every chapter; some of these extend the theory while others are drawn from practical problems in quantitative finance

The Interval Market Model In Mathematical Finance

Author: Pierre Bernhard
Publisher: Springer Science & Business Media
ISBN: 0817683887
Size: 48.11 MB
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Toward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion “Samuelson” market model (also known as the Black-Scholes model because it is used in that most famous theory), instead opting for models that allowed minimax approaches to complement or replace stochastic methods. Among the most fruitful models were those utilizing game-theoretic tools and the so-called interval market model. Over time, these models have slowly but steadily gained influence in the financial community, providing a useful alternative to classical methods. A self-contained monograph, The Interval Market Model in Mathematical Finance: Game-Theoretic Methods assembles some of the most important results, old and new, in this area of research. Written by seven of the most prominent pioneers of the interval market model and game-theoretic finance, the work provides a detailed account of several closely related modeling techniques for an array of problems in mathematical economics. The book is divided into five parts, which successively address topics including: · probability-free Black-Scholes theory; · fair-price interval of an option; · representation formulas and fast algorithms for option pricing; · rainbow options; · tychastic approach of mathematical finance based upon viability theory. This book provides a welcome addition to the literature, complementing myriad titles on the market that take a classical approach to mathematical finance. It is a worthwhile resource for researchers in applied mathematics and quantitative finance, and has also been written in a manner accessible to financially-inclined readers with a limited technical background.

Continuous Time Finance

Author: Robert C. Merton
Publisher: Wiley-Blackwell
ISBN: 9780631185086
Size: 73.27 MB
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Robert C. Merton's widely-used text provides an overview and synthesis of finance theory from the perspective of continuous-time analysis. It covers individual finance choice, corporate finance, financial intermediation, capital markets, and selected topics on the interface between private and public finance.

Stated Preference Methods Using R

Author: Hideo Aizaki
Publisher: CRC Press
ISBN: 143989048X
Size: 70.14 MB
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Stated Preference Methods Using R explains how to use stated preference (SP) methods, which are a family of survey methods, to measure people’s preferences based on decision making in hypothetical choice situations. Along with giving introductory explanations of the methods, the book collates information on existing R functions and packages as well as those prepared by the authors. It focuses on core SP methods, including contingent valuation (CV), discrete choice experiments (DCEs), and best–worst scaling (BWS). Several example data sets illustrate empirical applications of each method with R. Examples of CV draw on data from well-known environmental valuation studies, such as the Exxon Valdez oil spill in Alaska. To explain DCEs, the authors use synthetic data sets related to food marketing and environmental valuation. The examples illustrating BWS address valuing agro-environmental and food issues. All the example data sets and code are available on the authors’ website, CRAN, and R-Forge, allowing readers to easily reproduce working examples. Although the examples focus on agricultural and environmental economics, they provide beginners with a good foundation to apply SP methods in other fields. Statisticians, empirical researchers, and advanced students can use the book to conduct applied research of SP methods in economics and market research. The book is also suitable as a primary text or supplemental reading in an introductory-level, hands-on course.

A Practical Guide To Corporate Finance

Author: Christophe Thibierge
Publisher: Springer
ISBN: 1137492546
Size: 72.17 MB
Format: PDF, ePub
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This textbook offers an approachable guide to all key concepts within corporate finance. Emphasizing the use of common sense rather than number-crunching models, it provides a compact, easy to read experience for any reader, practitioners and students alike, whatever their background. A Practical Guide to Corporate Finance begins with the basics of how to read financial statements and how to estimate future cash flows. It also includes a guide to subjects such as capital budgeting decisions, the cost of financing for businesses, cash and working capital management, the process of business valuation, and how stock markets work. This textbook breaks the financial ice by offering real, practical advice, helping the reader to avoid common pitfalls, and translate the 'financialese', or business jargon that can cause confusion for those without a financial or banking background. Every chapter features real-life applications, and is punctuated with mini case studies in the form of a 'Slice of Life' and numerous dialogues that help shape the comprehension of the reader.

A History Of The Theory Of Investments

Author: Mark Rubinstein
Publisher: John Wiley & Sons
ISBN: 1118161092
Size: 26.17 MB
Format: PDF, Mobi
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"This exceptional book provides valuable insights into the evolution of financial economics from the perspective of a major player." -- Robert Litzenberger, Hopkinson Professor Emeritus of Investment Banking, Univ. of Pennsylvania; and retired partner, Goldman Sachs A History of the Theory of Investments is about ideas -- where they come from, how they evolve, and why they are instrumental in preparing the future for new ideas. Author Mark Rubinstein writes history by rewriting history. In unearthing long-forgotten books and journals, he corrects past oversights to assign credit where credit is due and assembles a remarkable history that is unquestionable in its accuracy and unprecedented in its power. Exploring key turning points in the development of investment theory, through the critical prism of award-winning investment theory and asset pricing expert Mark Rubinstein, this groundbreaking resource follows the chronological development of investment theory over centuries, exploring the inner workings of great theoretical breakthroughs while pointing out contributions made by often unsung contributors to some of investment's most influential ideas and models.