Stochastic Dominance Option Pricing

Stochastic Dominance Option Pricing

Author: Stylianos Perrakis

Publisher: Springer

Published: 2019-05-03

Total Pages: 294

ISBN-13: 3030115909

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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)

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

Author: Cheng Few Lee

Publisher: World Scientific

Published: 2020-07-30

Total Pages: 5053

ISBN-13: 9811202400

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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

Handbooks in Operations Research and Management Science: Financial Engineering

Author: John R. Birge

Publisher: Elsevier

Published: 2007-11-16

Total Pages: 1026

ISBN-13: 9780080553252

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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.


Recent Developments in Mathematical Finance

Recent Developments in Mathematical Finance

Author: Jiongmin Yong

Publisher: World Scientific

Published: 2002

Total Pages: 286

ISBN-13: 9810247974

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The book deals with topics such as the pricing of various contingent claims within different frameworks, risk-sensitive problems, optimal investment, defaultable term structure, etc. It also reflects on some recent developments in certain important aspects of mathematical finance.


Numerical Methods in Finance

Numerical Methods in Finance

Author: L. C. G. Rogers

Publisher: Cambridge University Press

Published: 1997-06-26

Total Pages: 348

ISBN-13: 9780521573542

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Numerical Methods in Finance describes a wide variety of numerical methods used in financial analysis.


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

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

Author: F S Chou

Publisher: World Scientific

Published: 1992-05-25

Total Pages: 1264

ISBN-13: 9814554561

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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.


Risk Measures with Applications in Finance and Economics

Risk Measures with Applications in Finance and Economics

Author: Michael McAleer

Publisher: MDPI

Published: 2019-07-23

Total Pages: 536

ISBN-13: 3038974439

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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.


Stochastic Dominance

Stochastic Dominance

Author: Haim Levy

Publisher: Springer

Published: 2015-10-31

Total Pages: 517

ISBN-13: 3319217089

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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

Intermediate Financial Theory

Author: Jean-Pierre Danthine

Publisher: Academic Press

Published: 2014-09-30

Total Pages: 580

ISBN-13: 0123868718

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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

Derivatives, Risk Management & Value

Author: Mondher Bellalah

Publisher: World Scientific

Published: 2010

Total Pages: 996

ISBN-13: 9812838635

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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.