Stochastic Dominance Option Pricing

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Publisher : Springer
ISBN 13 : 3030115909
Total Pages : 294 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Stochastic Dominance Option Pricing by : Stylianos Perrakis

Download or read book Stochastic Dominance Option Pricing written by Stylianos Perrakis and published by Springer. This book was released on 2019-05-03 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the application of the economic concept of stochastic dominance to option markets and presents an alternative option pricing paradigm to the prevailing no arbitrage simultaneous equilibrium in the frictionless underlying and option markets. This new methodology was developed primarily by the author, working independently or jointly with other co-authors, over the course of more than thirty years. Among others, it yields the fundamental Black-Scholes-Merton option value when markets are complete, presents a new approach to the pricing of rare event risk, and uncovers option mispricing that leads to tradeable strategies in the presence of transaction costs. In the latter case it shows how a utility-maximizing investor trading in the market and a riskless bond, subject to proportional transaction costs, can increase his/her expected utility by overlaying a zero-net-cost portfolio of options bought at their ask price and written at their bid price, irrespective of the specific form of the utility function. The book contains a unified presentation of these methods and results, making it a highly readable supplement for educators and sophisticated professionals working in the popular field of option pricing. It also features a foreword by George Constantinides, the Leo Melamed Professor of Finance at the Booth School of Business, University of Chicago, USA, who was a co-author in several parts of the book.

Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes)

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Publisher : World Scientific
ISBN 13 : 9811202400
Total Pages : 5053 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes) by : Cheng Few Lee

Download or read book Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes) written by Cheng Few Lee and published by World Scientific. This book was released on 2020-07-30 with total page 5053 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-volume handbook covers important concepts and tools used in the fields of financial econometrics, mathematics, statistics, and machine learning. Econometric methods have been applied in asset pricing, corporate finance, international finance, options and futures, risk management, and in stress testing for financial institutions. This handbook discusses a variety of econometric methods, including single equation multiple regression, simultaneous equation regression, and panel data analysis, among others. It also covers statistical distributions, such as the binomial and log normal distributions, in light of their applications to portfolio theory and asset management in addition to their use in research regarding options and futures contracts.In both theory and methodology, we need to rely upon mathematics, which includes linear algebra, geometry, differential equations, Stochastic differential equation (Ito calculus), optimization, constrained optimization, and others. These forms of mathematics have been used to derive capital market line, security market line (capital asset pricing model), option pricing model, portfolio analysis, and others.In recent times, an increased importance has been given to computer technology in financial research. Different computer languages and programming techniques are important tools for empirical research in finance. Hence, simulation, machine learning, big data, and financial payments are explored in this handbook.Led by Distinguished Professor Cheng Few Lee from Rutgers University, this multi-volume work integrates theoretical, methodological, and practical issues based on his years of academic and industry experience.

Handbooks in Operations Research and Management Science: Financial Engineering

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Publisher : Elsevier
ISBN 13 : 9780080553252
Total Pages : 1026 pages
Book Rating : 4.5/5 (532 download)

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Book Synopsis Handbooks in Operations Research and Management Science: Financial Engineering by : John R. Birge

Download or read book Handbooks in Operations Research and Management Science: Financial Engineering written by John R. Birge and published by Elsevier. This book was released on 2007-11-16 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: The remarkable growth of financial markets over the past decades has been accompanied by an equally remarkable explosion in financial engineering, the interdisciplinary field focusing on applications of mathematical and statistical modeling and computational technology to problems in the financial services industry. The goals of financial engineering research are to develop empirically realistic stochastic models describing dynamics of financial risk variables, such as asset prices, foreign exchange rates, and interest rates, and to develop analytical, computational and statistical methods and tools to implement the models and employ them to design and evaluate financial products and processes to manage risk and to meet financial goals. This handbook describes the latest developments in this rapidly evolving field in the areas of modeling and pricing financial derivatives, building models of interest rates and credit risk, pricing and hedging in incomplete markets, risk management, and portfolio optimization. Leading researchers in each of these areas provide their perspective on the state of the art in terms of analysis, computation, and practical relevance. The authors describe essential results to date, fundamental methods and tools, as well as new views of the existing literature, opportunities, and challenges for future research.

Numerical Methods in Finance

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Publisher : Cambridge University Press
ISBN 13 : 9780521573542
Total Pages : 348 pages
Book Rating : 4.5/5 (735 download)

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Book Synopsis Numerical Methods in Finance by : L. C. G. Rogers

Download or read book Numerical Methods in Finance written by L. C. G. Rogers and published by Cambridge University Press. This book was released on 1997-06-26 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods in Finance describes a wide variety of numerical methods used in financial analysis.

Optimization Techniques And Applications: International Conference (In 2 Volumes)

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Author :
Publisher : World Scientific
ISBN 13 : 9814554561
Total Pages : 1264 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Optimization Techniques And Applications: International Conference (In 2 Volumes) by : F S Chou

Download or read book Optimization Techniques And Applications: International Conference (In 2 Volumes) written by F S Chou and published by World Scientific. This book was released on 1992-05-25 with total page 1264 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advent of powerful computers and novel mathematical programming techniques, the multidisciplinary field of optimization has advanced to the stage that quite complicated systems can be addressed. The conference was organized to provide a platform for the exchanging of new ideas and information and for identifying areas for future research. The contributions covered both theoretical techniques and a rich variety of case studies to which optimization can be usefully applied.

Stochastic Dominance

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Publisher : Springer
ISBN 13 : 3319217089
Total Pages : 517 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Stochastic Dominance by : Haim Levy

Download or read book Stochastic Dominance written by Haim Levy and published by Springer. This book was released on 2015-10-31 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fully updated third edition is devoted to the analysis of various Stochastic Dominance (SD) decision rules. It discusses the pros and cons of each of the alternate SD rules, the application of these rules to various research areas like statistics, agriculture, medicine, measuring income inequality and the poverty level in various countries, and of course, to investment decision-making under uncertainty. The book features changes and additions to the various chapters, and also includes two completely new chapters. One deals with asymptotic SD and the relation between FSD and the maximum geometric mean (MGM) rule (or the maximum growth portfolio). The other new chapter discusses bivariate SD rules where the individual’s utility is determined not only by his own wealth, but also by his standing relative to his peer group. Stochastic Dominance: Investment Decision Making under Uncertainty, 3rd Ed. covers the following basic issues: the SD approach, asymptotic SD rules, the mean-variance (MV) approach, as well as the non-expected utility approach. The non-expected utility approach focuses on Regret Theory (RT) and mainly on prospect theory (PT) and its modified version, cumulative prospect theory (CPT) which assumes S-shape preferences. In addition to these issues the book suggests a new stochastic dominance rule called the Markowitz stochastic dominance (MSD) rule corresponding to all reverse-S-shape preferences. It also discusses the concept of the multivariate expected utility and analyzed in more detail the bivariate expected utility case. From the reviews of the second edition: "This book is an economics book about stochastic dominance. ... is certainly a valuable reference for graduate students interested in decision making under uncertainty. It investigates and compares different approaches and presents many examples. Moreover, empirical studies and experimental results play an important role in this book, which makes it interesting to read." (Nicole Bäuerle, Mathematical Reviews, Issue 2007 d)

Intermediate Financial Theory

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Publisher : Academic Press
ISBN 13 : 0123868718
Total Pages : 580 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Intermediate Financial Theory by : Jean-Pierre Danthine

Download or read book Intermediate Financial Theory written by Jean-Pierre Danthine and published by Academic Press. This book was released on 2014-09-30 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Targeting readers with backgrounds in economics, Intermediate Financial Theory, Third Edition includes new material on the asset pricing implications of behavioral finance perspectives, recent developments in portfolio choice, derivatives-risk neutral pricing research, and implications of the 2008 financial crisis. Each chapter concludes with questions, and for the first time a freely accessible website presents complementary and supplementary material for every chapter. Known for its rigor and intuition, Intermediate Financial Theory is perfect for those who need basic training in financial theory and those looking for a user-friendly introduction to advanced theory. - Completely updated edition of classic textbook that fills a gap between MBA- and PhD-level texts - Focuses on clear explanations of key concepts and requires limited mathematical prerequisites - Online solutions manual available - Updates include new structure emphasizing the distinction between the equilibrium and the arbitrage perspectives on valuation and pricing, and a new chapter on asset management for the long-term investor

Derivatives, Risk Management & Value

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Publisher : World Scientific
ISBN 13 : 9812838635
Total Pages : 996 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Derivatives, Risk Management & Value by : Mondher Bellalah

Download or read book Derivatives, Risk Management & Value written by Mondher Bellalah and published by World Scientific. This book was released on 2010 with total page 996 pages. Available in PDF, EPUB and Kindle. Book excerpt: 19.1. Numerical analysis and simulation techniques : an introduction to finite difference methods. 19.2. Application to European options on non-dividend paying stocks. 19.3. Valuation of American options with a composite volatility. 19.4. Simulation methods : Monte-Carlo method. ch. 20. Numerical methods and partial differential equations for European and American derivatives with complete and incomplete information. 20.1. Valuation of American calls on dividend-paying stocks. 20.2. American puts on dividend-paying stocks. 20.3. Numerical procedures in the presence of information costs : applications. 20.4. Convertible bonds. 20.5. Two-factor interest rate models and bond pricing within information uncertainty. 20.6. CBs pricing within information uncertainty -- pt. VIII. Exotic derivatives. ch. 21. Risk management : exotics and second-generation options. 21.1. Exchange options. 21.2. Forward-start options. 21.3. Pay-later options. 21.4. Simple chooser options. 21.5. Complex choosers. 21.6. Compound options. 21.7. Options on the maximum (minimum). 21.8. Extendible options. 21.9. Equity-linked foreign exchange options and quantos. 21.10. Binary barrier options. 21.11. Lookback options. ch. 22. Value at risk, credit risk, and credit derivatives. 22.1. VaR and riskmetrics : definitions and basic concepts. 22.2. Statistical and probability foundation of VaR. 22.3. A more advanced approach to VaR. 22.4. Credit valuation and the creditmetrics approach. 22.5. Default and credit-quality migration in the creditmetrics approach. 22.6. Credit-quality correlations. 22.7. Portfolio management of default risk in the Kealhofer, McQuown and Vasicek (KMV) approach. 22.8. Credit derivatives : definitions and main concepts. 22.9. The rating agencies models and the proprietary models.

Weak Convergence of Financial Markets

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Publisher : Springer Science & Business Media
ISBN 13 : 3540248315
Total Pages : 432 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Weak Convergence of Financial Markets by : Jean-Luc Prigent

Download or read book Weak Convergence of Financial Markets written by Jean-Luc Prigent and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of weak convergence of stochastic processes and its application to the study of financial markets. Split into three parts, the first recalls the mathematics of stochastic processes and stochastic calculus with special emphasis on contiguity properties and weak convergence of stochastic integrals. The second part is devoted to the analysis of financial theory from the convergence point of view. The main problems, which include portfolio optimization, option pricing and hedging are examined, especially when considering discrete-time approximations of continuous-time dynamics. The third part deals with lattice- and tree-based computational procedures for option pricing both on stocks and stochastic bonds. More general discrete approximations are also introduced and detailed. Includes detailed examples.

Fundamental Models in Financial Theory

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Publisher : MIT Press
ISBN 13 : 0262322668
Total Pages : 493 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Fundamental Models in Financial Theory by : Doron Peleg

Download or read book Fundamental Models in Financial Theory written by Doron Peleg and published by MIT Press. This book was released on 2014-04-11 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding and applying complex modern financial models in real life scenarios, including the Black-Litterman model for constructing an optimal portfolio while incorporating personal views. This book provides an innovative, integrated, and methodical approach to understanding complex financial models, integrating topics usually presented separately into a comprehensive whole. The book brings together financial models and high-level mathematics, reviewing the mathematical background necessary for understanding these models organically and in context. It begins with underlying assumptions and progresses logically through increasingly complex models to operative conclusions. Readers who have mastered the material will gain the tools needed to put theory into practice and incorporate financial models into real-life investment, financial, and business scenarios. Modern finance's most bothersome shortcoming is that the two basic models for building an optimal investment portfolio, Markowitz's mean-variance model and Sharpe and Treynor's Capital Asset Pricing Model (CAPM), fall short when we try to apply them using Excel Solver. This book explores these two models in detail, and for the first time in a textbook the Black-Litterman model for building an optimal portfolio constructed from a small number of assets (developed at Goldman Sachs) is thoroughly presented. The model's integration of personal views and its application using Excel templates are demonstrated. The book also offers innovative presentations of the Modigliani–Miller model and the Consumption-Based Capital Asset Pricing Model (CCAPM). Problems at the end of each chapter invite the reader to put the models into immediate use. Fundamental Models in Financial Theory is suitable for classroom use or as a reference for finance practitioners.

Risk Measures with Applications in Finance and Economics

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Publisher : MDPI
ISBN 13 : 3038974439
Total Pages : 536 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Risk Measures with Applications in Finance and Economics by : Michael McAleer

Download or read book Risk Measures with Applications in Finance and Economics written by Michael McAleer and published by MDPI. This book was released on 2019-07-23 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk measures play a vital role in many subfields of economics and finance. It has been proposed that risk measures could be analysed in relation to the performance of variables extracted from empirical real-world data. For example, risk measures may help inform effective monetary and fiscal policies and, therefore, the further development of pricing models for financial assets such as equities, bonds, currencies, and derivative securities.A Special Issue of “Risk Measures with Applications in Finance and Economics” will be devoted to advancements in the mathematical and statistical development of risk measures with applications in finance and economics. This Special Issue will bring together the theory, practice and real-world applications of risk measures. This book is a collection of papers published in the Special Issue of “Risk Measures with Applications in Finance and Economics” for Sustainability in 2018.

Methods of Mathematical Finance

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Publisher : Springer
ISBN 13 : 1493968459
Total Pages : 426 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Methods of Mathematical Finance by : Ioannis Karatzas

Download or read book Methods of Mathematical Finance written by Ioannis Karatzas and published by Springer. This book was released on 2017-01-10 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sequel to Brownian Motion and Stochastic Calculus by the same authors develops contingent claim pricing and optimal consumption/investment in both complete and incomplete markets, within the context of Brownian-motion-driven asset prices. The latter topic is extended to a study of equilibrium, providing conditions for existence and uniqueness of market prices which support trading by several heterogeneous agents. Although much of the incomplete-market material is available in research papers, these topics are treated for the first time in a unified manner. The book contains an extensive set of references and notes describing the field, including topics not treated in the book. This book will be of interest to researchers wishing to see advanced mathematics applied to finance. The material on optimal consumption and investment, leading to equilibrium, is addressed to the theoretical finance community. The chapters on contingent claim valuation present techniques of practical importance, especially for pricing exotic options.

Frontiers in Quantitative Finance

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Publisher : John Wiley & Sons
ISBN 13 : 0470456809
Total Pages : 312 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Frontiers in Quantitative Finance by : Rama Cont

Download or read book Frontiers in Quantitative Finance written by Rama Cont and published by John Wiley & Sons. This book was released on 2009-03-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Petit D'euner de la Finance–which author Rama Cont has been co-organizing in Paris since 1998–is a well-known quantitative finance seminar that has progressively become a platform for the exchange of ideas between the academic and practitioner communities in quantitative finance. Frontiers in Quantitative Finance is a selection of recent presentations in the Petit D'euner de la Finance. In this book, leading quants and academic researchers cover the most important emerging issues in quantitative finance and focus on portfolio credit risk and volatility modeling.

The Black–Scholes–Merton Model as an Idealization of Discrete-Time Economies

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Publisher : Cambridge University Press
ISBN 13 : 1108775500
Total Pages : 218 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis The Black–Scholes–Merton Model as an Idealization of Discrete-Time Economies by : David M. Kreps

Download or read book The Black–Scholes–Merton Model as an Idealization of Discrete-Time Economies written by David M. Kreps and published by Cambridge University Press. This book was released on 2019-09-19 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines whether continuous-time models in frictionless financial economies can be well approximated by discrete-time models. It specifically looks to answer the question: in what sense and to what extent does the famous Black-Scholes-Merton (BSM) continuous-time model of financial markets idealize more realistic discrete-time models of those markets? While it is well known that the BSM model is an idealization of discrete-time economies where the stock price process is driven by a binomial random walk, it is less known that the BSM model idealizes discrete-time economies whose stock price process is driven by more general random walks. Starting with the basic foundations of discrete-time and continuous-time models, David M. Kreps takes the reader through to this important insight with the goal of lowering the entry barrier for many mainstream financial economists, thus bringing less-technical readers to a better understanding of the connections between BSM and nearby discrete-economies.

Financial Mathematics

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Publisher : CRC Press
ISBN 13 : 1439892431
Total Pages : 826 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Financial Mathematics by : Giuseppe Campolieti

Download or read book Financial Mathematics written by Giuseppe Campolieti and published by CRC Press. This book was released on 2014-03-12 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt: Versatile for Several Interrelated Courses at the Undergraduate and Graduate Levels Financial Mathematics: A Comprehensive Treatment provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. Tested and refined through years of the authors’ teaching experiences, the book encompasses a breadth of topics, from introductory to more advanced ones. Accessible to undergraduate students in mathematics, finance, actuarial science, economics, and related quantitative areas, much of the text covers essential material for core curriculum courses on financial mathematics. Some of the more advanced topics, such as formal derivative pricing theory, stochastic calculus, Monte Carlo simulation, and numerical methods, can be used in courses at the graduate level. Researchers and practitioners in quantitative finance will also benefit from the combination of analytical and numerical methods for solving various derivative pricing problems. 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. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. The book provides complete coverage of both discrete- and continuous-time financial models that form the cornerstones of financial derivative pricing theory. It also presents a self-contained introduction to stochastic calculus and martingale theory, which are key fundamental elements in quantitative finance.

Derivatives Markets

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Author :
Publisher : Routledge
ISBN 13 : 1317423550
Total Pages : 518 pages
Book Rating : 4.3/5 (174 download)

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Book Synopsis Derivatives Markets by : David Goldenberg

Download or read book Derivatives Markets written by David Goldenberg and published by Routledge. This book was released on 2016-03-02 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Derivatives Markets is a thorough and well-presented textbook that offers readers an introduction to derivatives instruments, with a gentle introduction to mathematical finance, and provides a working knowledge of derivatives to a wide area of market participants. This new and accessible book provides a lucid, down-to-earth, theoretically rigorous but applied introduction to derivatives. Many insights have been discovered since the seminal work in the 1970s and the text provides a bridge to and incorporates them. It develops the skill sets needed to both understand and to intelligently use derivatives. These skill sets are developed in part by using concept checks that test the reader's understanding of the material as it is presented. The text discusses some fairly sophisticated topics not usually discussed in introductory derivatives texts. For example, real-world electronic market trading platforms such as CME’s Globex. On the theory side, a much needed and detailed discussion of what risk-neutral valuation really means in the context of the dynamics of the hedge portfolio. The text is a balanced, logical presentation of the major derivatives classes including forward and futures contracts in Part I, swaps in Part II, and options in Part III. The material is unified by providing a modern conceptual framework and exploiting the no-arbitrage relationships between the different derivatives classes. Some of the elements explained in detail in the text are: Hedging, Basis Risk, Spreading, and Spread Basis Risk Financial Futures Contracts, their Underlying Instruments, Hedging and Speculating OTC Markets and Swaps Option Strategies: Hedging and Speculating Risk-Neutral Valuation and the Binomial Option Pricing Model Equivalent Martingale Measures: The Modern Approach to Option Pricing Option Pricing in Continuous Time: from Bachelier to Black-Scholes and Beyond. Professor Goldenberg’s clear and concise explanations and end-of-chapter problems, guide the reader through the derivatives markets, developing the reader’s skill sets needed in order to incorporate and manage derivatives in a corporate or risk management setting. This textbook is for students, both undergraduate and postgraduate, as well as for those with an interest in how and why these markets work and thrive.

Foundations of the Pricing of Financial Derivatives

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1394179669
Total Pages : 631 pages
Book Rating : 4.3/5 (941 download)

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Book Synopsis Foundations of the Pricing of Financial Derivatives by : Robert E. Brooks

Download or read book Foundations of the Pricing of Financial Derivatives written by Robert E. Brooks and published by John Wiley & Sons. This book was released on 2024-01-25 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible and mathematically rigorous resource for masters and PhD students In Foundations of the Pricing of Financial Derivatives: Theory and Analysis two expert finance academics with professional experience deliver a practical new text for doctoral and masters’ students and also new practitioners. The book draws on the authors extensive combined experience teaching, researching, and consulting on this topic and strikes an effective balance between fine-grained quantitative detail and high-level theoretical explanations. The authors fill the gap left by books directed at masters’-level students that often lack mathematical rigor. Further, books aimed at mathematically trained graduate students often lack quantitative explanations and critical foundational materials. Thus, this book provides the technical background required to understand the more advanced mathematics used in this discipline, in class, in research, and in practice. Readers will also find: Tables, figures, line drawings, practice problems (with a solutions manual), references, and a glossary of commonly used specialist terms Review of material in calculus, probability theory, and asset pricing Coverage of both arithmetic and geometric Brownian motion Extensive treatment of the mathematical and economic foundations of the binomial and Black-Scholes-Merton models that explains their use and derivation, deepening readers’ understanding of these essential models Deep discussion of essential concepts, like arbitrage, that broaden students’ understanding of the basis for derivative pricing Coverage of pricing of forwards, futures, and swaps, including arbitrage-free term structures and interest rate derivatives An effective and hands-on text for masters’-level and PhD students and beginning practitioners with an interest in financial derivatives pricing, Foundations of the Pricing of Financial Derivatives is an intuitive and accessible resource that properly balances math, theory, and practical applications to help students develop a healthy command of a difficult subject.