Pricing Bermudan Variance Swaptions Using Multinomial Trees

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Pricing Bermudan Variance Swaptions Using Multinomial Trees

Author : Honglei Zhao
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Pricing Bermudan Variance Swaptions Using Multinomial Trees by : Honglei Zhao

Download or read book Pricing Bermudan Variance Swaptions Using Multinomial Trees written by Honglei Zhao and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In a recent study, we present a tree methodology to evaluate the expected generalized realized variance in a general stochastic volatility model. This provides an efficient way of calculating the fair value of the strike for variance swaps. In this article, we expand the methodology to price nonlinear derivatives written on realized variance. Particularly we introduce a new option contract a Bermudan variance swaption, defined as an option on variance swap with early exercise dates. Within the same framework, we also show how to value forward-start variance swaps, VIX futures and VIX options. Numerical tests show that the methodology introduced is efficient and accurate.

Pricing Variance, Gamma and Corridor Swaps Using Multinomial Trees

Author : Honglei Zhao
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Pricing Variance, Gamma and Corridor Swaps Using Multinomial Trees by : Honglei Zhao

Download or read book Pricing Variance, Gamma and Corridor Swaps Using Multinomial Trees written by Honglei Zhao and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This article introduces a new methodology to approximate the prices of variance, gamma and corridor swaps in a stochastic volatility framework applicable to any given tree structure. The efficiency of this tree method is based on the decomposing the payoff structure into nested conditional expectations which may be calculated using a single pass through the tree. The total number of calculations is commensurable with the number of tree nodes, making it substantially faster than Monte Carlo simulations. We exemplify the methodology using two different tree structures that approximate several types of stochastic volatility models. Furthermore, this methodology is general enough to be applied to any given tree structure. Extensive numerical tests show that the methodology introduced is fast, efficient and accurate. The method was applied to volatility instruments quoted on the CBOE.

Quantitative Finance

Author : Maria Cristina Mariani
Publisher : John Wiley & Sons
ISBN 13 : 1118629957
Total Pages : 496 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Quantitative Finance by : Maria Cristina Mariani

Download or read book Quantitative Finance written by Maria Cristina Mariani and published by John Wiley & Sons. This book was released on 2019-12-12 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a multitude of topics relevant to the quantitative finance community by combining the best of the theory with the usefulness of applications Written by accomplished teachers and researchers in the field, this book presents quantitative finance theory through applications to specific practical problems and comes with accompanying coding techniques in R and MATLAB, and some generic pseudo-algorithms to modern finance. It also offers over 300 examples and exercises that are appropriate for the beginning student as well as the practitioner in the field. The Quantitative Finance book is divided into four parts. Part One begins by providing readers with the theoretical backdrop needed from probability and stochastic processes. We also present some useful finance concepts used throughout the book. In part two of the book we present the classical Black-Scholes-Merton model in a uniquely accessible and understandable way. Implied volatility as well as local volatility surfaces are also discussed. Next, solutions to Partial Differential Equations (PDE), wavelets and Fourier transforms are presented. Several methodologies for pricing options namely, tree methods, finite difference method and Monte Carlo simulation methods are also discussed. We conclude this part with a discussion on stochastic differential equations (SDE’s). In the third part of this book, several new and advanced models from current literature such as general Lvy processes, nonlinear PDE's for stochastic volatility models in a transaction fee market, PDE's in a jump-diffusion with stochastic volatility models and factor and copulas models are discussed. In part four of the book, we conclude with a solid presentation of the typical topics in fixed income securities and derivatives. We discuss models for pricing bonds market, marketable securities, credit default swaps (CDS) and securitizations. Classroom-tested over a three-year period with the input of students and experienced practitioners Emphasizes the volatility of financial analyses and interpretations Weaves theory with application throughout the book Utilizes R and MATLAB software programs Presents pseudo-algorithms for readers who do not have access to any particular programming system Supplemented with extensive author-maintained web site that includes helpful teaching hints, data sets, software programs, and additional content Quantitative Finance is an ideal textbook for upper-undergraduate and beginning graduate students in statistics, financial engineering, quantitative finance, and mathematical finance programs. It will also appeal to practitioners in the same fields.

Modeling Derivatives in C++

Author : Justin London
Publisher : John Wiley & Sons
ISBN 13 : 047168189X
Total Pages : 922 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Modeling Derivatives in C++ by : Justin London

Download or read book Modeling Derivatives in C++ written by Justin London and published by John Wiley & Sons. This book was released on 2005-01-21 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the definitive and most comprehensive guide to modeling derivatives in C++ today. Providing readers with not only the theory and math behind the models, as well as the fundamental concepts of financial engineering, but also actual robust object-oriented C++ code, this is a practical introduction to the most important derivative models used in practice today, including equity (standard and exotics including barrier, lookback, and Asian) and fixed income (bonds, caps, swaptions, swaps, credit) derivatives. The book provides complete C++ implementations for many of the most important derivatives and interest rate pricing models used on Wall Street including Hull-White, BDT, CIR, HJM, and LIBOR Market Model. London illustrates the practical and efficient implementations of these models in real-world situations and discusses the mathematical underpinnings and derivation of the models in a detailed yet accessible manner illustrated by many examples with numerical data as well as real market data. A companion CD contains quantitative libraries, tools, applications, and resources that will be of value to those doing quantitative programming and analysis in C++. Filled with practical advice and helpful tools, Modeling Derivatives in C++ will help readers succeed in understanding and implementing C++ when modeling all types of derivatives.

Hedging with Trees

Author : Mark Nathan Broadie
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Hedging with Trees by : Mark Nathan Broadie

Download or read book Hedging with Trees written by Mark Nathan Broadie and published by . This book was released on 1998 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: An insightful collection of 35+ articles encapsulating advances in financial derivatives, selected by two well-respected academics.

Financial Asset Pricing Theory

Author : Claus Munk
Publisher : Oxford University Press, USA
ISBN 13 : 0199585490
Total Pages : 598 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Financial Asset Pricing Theory by : Claus Munk

Download or read book Financial Asset Pricing Theory written by Claus Munk and published by Oxford University Press, USA. This book was released on 2013-04-18 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents models for the pricing of financial assets such as stocks, bonds, and options. The models are formulated and analyzed using concepts and techniques from mathematics and probability theory. It presents important classic models and some recent 'state-of-the-art' models that outperform the classics.

Handbook of Modeling High-Frequency Data in Finance

Author : Frederi G. Viens
Publisher : John Wiley & Sons
ISBN 13 : 0470876883
Total Pages : 468 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Handbook of Modeling High-Frequency Data in Finance by : Frederi G. Viens

Download or read book Handbook of Modeling High-Frequency Data in Finance written by Frederi G. Viens and published by John Wiley & Sons. This book was released on 2011-12-20 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: CUTTING-EDGE DEVELOPMENTS IN HIGH-FREQUENCY FINANCIAL ECONOMETRICS In recent years, the availability of high-frequency data and advances in computing have allowed financial practitioners to design systems that can handle and analyze this information. Handbook of Modeling High-Frequency Data in Finance addresses the many theoretical and practical questions raised by the nature and intrinsic properties of this data. A one-stop compilation of empirical and analytical research, this handbook explores data sampled with high-frequency finance in financial engineering, statistics, and the modern financial business arena. Every chapter uses real-world examples to present new, original, and relevant topics that relate to newly evolving discoveries in high-frequency finance, such as: Designing new methodology to discover elasticity and plasticity of price evolution Constructing microstructure simulation models Calculation of option prices in the presence of jumps and transaction costs Using boosting for financial analysis and trading The handbook motivates practitioners to apply high-frequency finance to real-world situations by including exclusive topics such as risk measurement and management, UHF data, microstructure, dynamic multi-period optimization, mortgage data models, hybrid Monte Carlo, retirement, trading systems and forecasting, pricing, and boosting. The diverse topics and viewpoints presented in each chapter ensure that readers are supplied with a wide treatment of practical methods. Handbook of Modeling High-Frequency Data in Finance is an essential reference for academics and practitioners in finance, business, and econometrics who work with high-frequency data in their everyday work. It also serves as a supplement for risk management and high-frequency finance courses at the upper-undergraduate and graduate levels.

Quantitative Finance

Author : Maria C. Mariani
Publisher : John Wiley & Sons
ISBN 13 : 1118629965
Total Pages : 496 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Quantitative Finance by : Maria C. Mariani

Download or read book Quantitative Finance written by Maria C. Mariani and published by John Wiley & Sons. This book was released on 2019-11-06 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a multitude of topics relevant to the quantitative finance community by combining the best of the theory with the usefulness of applications Written by accomplished teachers and researchers in the field, this book presents quantitative finance theory through applications to specific practical problems and comes with accompanying coding techniques in R and MATLAB, and some generic pseudo-algorithms to modern finance. It also offers over 300 examples and exercises that are appropriate for the beginning student as well as the practitioner in the field. The Quantitative Finance book is divided into four parts. Part One begins by providing readers with the theoretical backdrop needed from probability and stochastic processes. We also present some useful finance concepts used throughout the book. In part two of the book we present the classical Black-Scholes-Merton model in a uniquely accessible and understandable way. Implied volatility as well as local volatility surfaces are also discussed. Next, solutions to Partial Differential Equations (PDE), wavelets and Fourier transforms are presented. Several methodologies for pricing options namely, tree methods, finite difference method and Monte Carlo simulation methods are also discussed. We conclude this part with a discussion on stochastic differential equations (SDE’s). In the third part of this book, several new and advanced models from current literature such as general Lvy processes, nonlinear PDE's for stochastic volatility models in a transaction fee market, PDE's in a jump-diffusion with stochastic volatility models and factor and copulas models are discussed. In part four of the book, we conclude with a solid presentation of the typical topics in fixed income securities and derivatives. We discuss models for pricing bonds market, marketable securities, credit default swaps (CDS) and securitizations. Classroom-tested over a three-year period with the input of students and experienced practitioners Emphasizes the volatility of financial analyses and interpretations Weaves theory with application throughout the book Utilizes R and MATLAB software programs Presents pseudo-algorithms for readers who do not have access to any particular programming system Supplemented with extensive author-maintained web site that includes helpful teaching hints, data sets, software programs, and additional content Quantitative Finance is an ideal textbook for upper-undergraduate and beginning graduate students in statistics, financial engineering, quantitative finance, and mathematical finance programs. It will also appeal to practitioners in the same fields.

RETRACTED BOOK: 151 Trading Strategies

Author : Zura Kakushadze
Publisher : Springer
ISBN 13 : 3030027929
Total Pages : 480 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis RETRACTED BOOK: 151 Trading Strategies by : Zura Kakushadze

Download or read book RETRACTED BOOK: 151 Trading Strategies written by Zura Kakushadze and published by Springer. This book was released on 2018-12-13 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides detailed descriptions, including more than 550 mathematical formulas, for more than 150 trading strategies across a host of asset classes and trading styles. These include stocks, options, fixed income, futures, ETFs, indexes, commodities, foreign exchange, convertibles, structured assets, volatility, real estate, distressed assets, cash, cryptocurrencies, weather, energy, inflation, global macro, infrastructure, and tax arbitrage. Some strategies are based on machine learning algorithms such as artificial neural networks, Bayes, and k-nearest neighbors. The book also includes source code for illustrating out-of-sample backtesting, around 2,000 bibliographic references, and more than 900 glossary, acronym and math definitions. The presentation is intended to be descriptive and pedagogical and of particular interest to finance practitioners, traders, researchers, academics, and business school and finance program students.

Correlation Risk Modeling and Management

Author : Gunter Meissner
Publisher : John Wiley & Sons
ISBN 13 : 1118796896
Total Pages : 268 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Correlation Risk Modeling and Management by : Gunter Meissner

Download or read book Correlation Risk Modeling and Management written by Gunter Meissner and published by John Wiley & Sons. This book was released on 2013-12-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough guide to correlation risk and its growing importance in global financial markets Ideal for anyone studying for CFA, PRMIA, CAIA, or other certifications, Correlation Risk Modeling and Management is the first rigorous guide to the topic of correlation risk. A relatively overlooked type of risk until it caused major unexpected losses during the financial crisis of 2007 through 2009, correlation risk has become a major focus of the risk management departments in major financial institutions, particularly since Basel III specifically addressed correlation risk with new regulations. This offers a rigorous explanation of the topic, revealing new and updated approaches to modelling and risk managing correlation risk. Offers comprehensive coverage of a topic of increasing importance in the financial world Includes the Basel III correlation framework Features interactive models in Excel/VBA, an accompanying website with further materials, and problems and questions at the end of each chapter

Quantitative Energy Finance

Author : Fred Espen Benth
Publisher : Springer Science & Business Media
ISBN 13 : 1461472482
Total Pages : 318 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Quantitative Energy Finance by : Fred Espen Benth

Download or read book Quantitative Energy Finance written by Fred Espen Benth and published by Springer Science & Business Media. This book was released on 2013-08-28 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finance and energy markets have been an active scientific field for some time, even though the development and applications of sophisticated quantitative methods in these areas are relatively new—and referred to in a broader context as energy finance. Energy finance is often viewed as a branch of mathematical finance, yet this area continues to provide a rich source of issues that are fuelling new and exciting research developments. Based on a special thematic year at the Wolfgang Pauli Institute (WPI) in Vienna, Austria, this edited collection features cutting-edge research from leading scientists in the fields of energy and commodity finance. Topics discussed include modeling and analysis of energy and commodity markets, derivatives hedging and pricing, and optimal investment strategies and modeling of emerging markets, such as power and emissions. The book also confronts the challenges one faces in energy markets from a quantitative point of view, as well as the recent advances in solving these problems using advanced mathematical, statistical and numerical methods. By addressing the emerging area of quantitative energy finance, this volume will serve as a valuable resource for graduate-level students and researchers studying financial mathematics, risk management, or energy finance.

Advanced Financial Risk Management

Author : Donald R. Van Deventer
Publisher : John Wiley & Sons
ISBN 13 : 1118278550
Total Pages : 834 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Advanced Financial Risk Management by : Donald R. Van Deventer

Download or read book Advanced Financial Risk Management written by Donald R. Van Deventer and published by John Wiley & Sons. This book was released on 2013-02-06 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical tools and advice for managing financial risk, updated for a post-crisis world Advanced Financial Risk Management bridges the gap between the idealized assumptions used for risk valuation and the realities that must be reflected in management actions. It explains, in detailed yet easy-to-understand terms, the analytics of these issues from A to Z, and lays out a comprehensive strategy for risk management measurement, objectives, and hedging techniques that apply to all types of institutions. Written by experienced risk managers, the book covers everything from the basics of present value, forward rates, and interest rate compounding to the wide variety of alternative term structure models. Revised and updated with lessons from the 2007-2010 financial crisis, Advanced Financial Risk Management outlines a framework for fully integrated risk management. Credit risk, market risk, asset and liability management, and performance measurement have historically been thought of as separate disciplines, but recent developments in financial theory and computer science now allow these views of risk to be analyzed on a more integrated basis. The book presents a performance measurement approach that goes far beyond traditional capital allocation techniques to measure risk-adjusted shareholder value creation, and supplements this strategic view of integrated risk with step-by-step tools and techniques for constructing a risk management system that achieves these objectives. Practical tools for managing risk in the financial world Updated to include the most recent events that have influenced risk management Topics covered include the basics of present value, forward rates, and interest rate compounding; American vs. European fixed income options; default probability models; prepayment models; mortality models; and alternatives to the Vasicek model Comprehensive and in-depth, Advanced Financial Risk Management is an essential resource for anyone working in the financial field.

Martingale Methods in Financial Modelling

Author : Marek Musiela
Publisher : Springer Science & Business Media
ISBN 13 : 3662221322
Total Pages : 521 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Martingale Methods in Financial Modelling by : Marek Musiela

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.

International Finance and Accounting Handbook

Author : Frederick D. S. Choi
Publisher : John Wiley & Sons
ISBN 13 : 0471647942
Total Pages : 889 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis International Finance and Accounting Handbook by : Frederick D. S. Choi

Download or read book International Finance and Accounting Handbook written by Frederick D. S. Choi and published by John Wiley & Sons. This book was released on 2003-10-31 with total page 889 pages. Available in PDF, EPUB and Kindle. Book excerpt: "International Accounting + Finance Handbook" - Jetzt neu in der 3. aktualisierten Auflage. Ein ausgezeichnetes Nachschlagewerk für alle, die mit Rechnungslegung, Finanzberichterstattung, Controlling und Finanzen im internationalen Umfeld zu tun haben. Es vermittelt Managern die notwendigen Tools, um die Unterschiede bei Bilanzierungsgrundsätzen, Finanzberichterstattung und Buchprüfungsverfahren in der internationalen Finanzarena in den Griff zu bekommen. Der Band gibt einen Überblick über internationale Rechnungslegungs- und Finanzfragen und weist auf wichtige Trends in der internationalen Rechnungslegung und Finanzwirtschaft hin. Mit Beiträgen von Vertretern der "Großen 5" amerikanischen Anwalts- und Finanzfirmen sowie von bekannten Akademikern. Mit ausführlichem Beispielmaterial aus der Praxis sowie zahlreichen Fallstudien. Autor Frederick Choi ist ein führender Experte auf dem Gebiet der internationalen Rechnungslegung und Finanzwirtschaft und verfügt über umfangreiche praktische Consulting-Erfahrung.

Volatility Trading, + website

Author : Euan Sinclair
Publisher : John Wiley & Sons
ISBN 13 : 0470181990
Total Pages : 228 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Volatility Trading, + website by : Euan Sinclair

Download or read book Volatility Trading, + website written by Euan Sinclair and published by John Wiley & Sons. This book was released on 2008-06-23 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Volatility Trading, Sinclair offers you a quantitative model for measuring volatility in order to gain an edge in your everyday option trading endeavors. With an accessible, straightforward approach. He guides traders through the basics of option pricing, volatility measurement, hedging, money management, and trade evaluation. In addition, Sinclair explains the often-overlooked psychological aspects of trading, revealing both how behavioral psychology can create market conditions traders can take advantage of-and how it can lead them astray. Psychological biases, he asserts, are probably the drivers behind most sources of edge available to a volatility trader. Your goal, Sinclair explains, must be clearly defined and easily expressed-if you cannot explain it in one sentence, you probably aren't completely clear about what it is. The same applies to your statistical edge. If you do not know exactly what your edge is, you shouldn't trade. He shows how, in addition to the numerical evaluation of a potential trade, you should be able to identify and evaluate the reason why implied volatility is priced where it is, that is, why an edge exists. This means it is also necessary to be on top of recent news stories, sector trends, and behavioral psychology. Finally, Sinclair underscores why trades need to be sized correctly, which means that each trade is evaluated according to its projected return and risk in the overall context of your goals. As the author concludes, while we also need to pay attention to seemingly mundane things like having good execution software, a comfortable office, and getting enough sleep, it is knowledge that is the ultimate source of edge. So, all else being equal, the trader with the greater knowledge will be the more successful. This book, and its companion CD-ROM, will provide that knowledge. The CD-ROM includes spreadsheets designed to help you forecast volatility and evaluate trades together with simulation engines.

Market-Conform Valuation of Options

Author : Tobias Herwig
Publisher : Springer Science & Business Media
ISBN 13 : 3540308385
Total Pages : 112 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Market-Conform Valuation of Options by : Tobias Herwig

Download or read book Market-Conform Valuation of Options written by Tobias Herwig and published by Springer Science & Business Media. This book was released on 2006-03-12 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. 1 The Area of Research In this thesis, we will investigate the 'market-conform' pricing of newly issued contingent claims. A contingent claim is a derivative whose value at any settlement date is determined by the value of one or more other underlying assets, e. g. , forwards, futures, plain-vanilla or exotic options with European or American-style exercise features. Market-conform pricing means that prices of existing actively traded securities are taken as given, and then the set of equivalent martingale measures that are consistent with the initial prices of the traded securities is derived using no-arbitrage arguments. Sometimes in the literature other expressions are used for 'market-conform' valuation - 'smile-consistent' valuation or 'fair-market' valuation - that describe the same basic idea. The seminal work by Black and Scholes (1973) (BS) and Merton (1973) mark a breakthrough in the problem of hedging and pricing contingent claims based on no-arbitrage arguments. Harrison and Kreps (1979) provide a firm mathematical foundation for the Black-Scholes- Merton analysis. They show that the absence of arbitrage is equivalent to the existence of an equivalent martingale measure. Under this mea sure the normalized security price process forms a martingale and so securities can be valued by taking expectations. If the securities market is complete, then the equivalent martingale measure and hence the price of any security are unique.

Louis Bachelier's Theory of Speculation

Author : Louis Bachelier
Publisher : Princeton University Press
ISBN 13 : 1400829305
Total Pages : 205 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Louis Bachelier's Theory of Speculation by : Louis Bachelier

Download or read book Louis Bachelier's Theory of Speculation written by Louis Bachelier and published by Princeton University Press. This book was released on 2011-12-12 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: March 29, 1900, is considered by many to be the day mathematical finance was born. On that day a French doctoral student, Louis Bachelier, successfully defended his thesis Théorie de la Spéculation at the Sorbonne. The jury, while noting that the topic was "far away from those usually considered by our candidates," appreciated its high degree of originality. This book provides a new translation, with commentary and background, of Bachelier's seminal work. Bachelier's thesis is a remarkable document on two counts. In mathematical terms Bachelier's achievement was to introduce many of the concepts of what is now known as stochastic analysis. His purpose, however, was to give a theory for the valuation of financial options. He came up with a formula that is both correct on its own terms and surprisingly close to the Nobel Prize-winning solution to the option pricing problem by Fischer Black, Myron Scholes, and Robert Merton in 1973, the first decisive advance since 1900. Aside from providing an accurate and accessible translation, this book traces the twin-track intellectual history of stochastic analysis and financial economics, starting with Bachelier in 1900 and ending in the 1980s when the theory of option pricing was substantially complete. The story is a curious one. The economic side of Bachelier's work was ignored until its rediscovery by financial economists more than fifty years later. The results were spectacular: within twenty-five years the whole theory was worked out, and a multibillion-dollar global industry of option trading had emerged.