In many areas of finance and stochastics, significant advances have been made since this field of research was opened by Black, Scholes and Merton in 1973. This volume contains a collection of original articles by a number of highly distinguished authors, on research topics that are currently in the focus of interest of both academics and practitioners.
“Jeff’s analysis is unique, at least among academic derivatives textbooks. I would definitely use this material in my derivatives class, as I believe students would benefit from analyzing the many dimensions of Jeff’s trading strategies. I especially found the material on trading the earnings cycle and discussion of how to insure against price jumps at known events very worthwhile.” —DR. ROBERT JENNINGS, Professor of Finance, Indiana University Kelley School of Business “This is not just another book about options trading. The author shares a plethora of knowledge based on 20 years of trading experience and study of the financial markets. Jeff explains the myriad of complexities about options in a manner that is insightful and easy to understand. Given the growth in the options and derivatives markets over the past five years, this book is required reading for any serious investor or anyone in the financial service industries.” —MICHAEL P. O’HARE, Head of Mergers & Acquisitions, Oppenheimer & Co. Inc. “Those in the know will find this book to be an excellent resource and practical guide with exciting new insights into investing and hedging with options.” —JIM MEYER, Managing Director, Sasqua Field Capital Partners LLC “Jeff has focused everything I knew about options pricing and more through a hyper-insightful lens! This book provides a unique and practical perspective about options trading that should be required reading for professional and individual investors.” —ARTHUR TISI, Founder and CEO, EXA Infosystems; private investor and options trader In The Volatility Edge in Options Trading, leading options trader Jeff Augen introduces breakthrough strategies for identifying subtle price distortions that arise from changes in market volatility. Drawing on more than a decade of never-before-published research, Augen provides new analytical techniques that every experienced options trader can use to study historical price changes, mitigate risk, limit market exposure, and structure mathematically sound high-return options positions. Augen bridges the gap between pricing theory mathematics and market realities, covering topics addressed in no other options trading book. He introduces new ways to exploit the rising volatility that precedes earnings releases; trade the monthly options expiration cycle; leverage put:call price parity disruptions; understand weekend and month-end effects on bid-ask spreads; and use options on the CBOE Volatility Index (VIX) as a portfolio hedge. Unlike conventional guides, The Volatility Edge in Options Trading doesn’t rely on oversimplified positional analyses: it fully reflects ongoing changes in the prices of underlying securities, market volatility, and time decay. What’s more, Augen shows how to build your own customized analytical toolset using low-cost desktop software and data sources: tools that can transform his state-of-the-art strategies into practical buy/sell guidance. An options investment strategy that reflects the markets’ fundamental mathematical properties Presents strategies for achieving superior returns in widely diverse market conditions Adaptive trading: how to dynamically manage option positions, and why you must Includes precise, proven metrics and rules for adjusting complex positions Effectively trading the earnings and expiration cycles Leverage price distortions related to earnings and impending options expirations Building a state-of-the-art analytical infrastructure Use standard desktop software and data sources to build world-class decision-making tools
This book contains articles on stochastic processes (stochastic calculus and Malliavin calculus, functionals of Brownian motions and Levy processes, stochastic control and optimization problems, stochastic numerics, and so on) and their applications to problems in mathematical finance. Examples of topics are applications of Malliavin calculus and numerical analysis to a new simulation scheme for calculating the price of financial derivatives, applications of the asymptotic expansion method in Malliavin calculus to financial problems, semimartingale decompositions under an enlargement of filtrations in connection with insider problems, and the problem of transaction costs in connection with stochastic control and optimization problems.
This book contains 17 articles on stochastic processes (stochastic calculus and Malliavin calculus, functionals of Brownian motions and Lévy processes, stochastic control and optimization problems, stochastic numerics, and so on) and their applications to problems in mathematical finance.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• Index to Social Sciences & Humanities Proceedings® (ISSHP® / ISI Proceedings)• Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences
This book contains 17 articles on stochastic processes (stochastic calculus and Malliavin calculus, functionals of Brownian motions and L(r)vy processes, stochastic control and optimization problems, stochastic numerics, and so on) and their applications to problems in mathematical finance.The proceedings have been selected for coverage in: OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings)OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)OCo Index to Social Sciences & Humanities Proceedings- (ISSHP- / ISI Proceedings)OCo Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings)OCo CC Proceedings OCo Engineering & Physical Sciences"
This volume in the series contains chapters on areas such as pareto processes, branching processes, inference in stochastic processes, Poisson approximation, Levy processes, and iterated random maps and some classes of Markov processes. Other chapters cover random walk and fluctuation theory, a semigroup representation and asymptomatic behavior of certain statistics of the Fisher-Wright-Moran coalescent, continuous-time ARMA processes, record sequence and their applications, stochastic networks with product form equilibrium, and stochastic processes in insurance and finance. Other subjects include renewal theory, stochastic processes in reliability, supports of stochastic processes of multiplicity one, Markov chains, diffusion processes, and Ito's stochastic calculus and its applications. c. Book News Inc.
This book presents innovations in the mathematical foundations of financial analysis and numerical methods for finance and applications to the modeling of risk. The topics selected include measures of risk, credit contagion, insider trading, information in finance, stochastic control and its applications to portfolio choices and liquidation, models of liquidity, pricing, and hedging. The models presented are based on the use of Brownian motion, Lévy processes and jump diffusions. Moreover, fractional Brownian motion and ambit processes are also introduced at various levels. The chosen blend of topics gives an overview of the frontiers of mathematics for finance. New results, new methods and new models are all introduced in different forms according to the subject. Additionally, the existing literature on the topic is reviewed. The diversity of the topics makes the book suitable for graduate students, researchers and practitioners in the areas of financial modeling and quantitative finance. The chapters will also be of interest to experts in the financial market interested in new methods and products. This volume presents the results of the European ESF research networking program Advanced Mathematical Methods for Finance.
This book presents the proceedings from ECONOPHYS-2015, an international workshop held in New Delhi, India, on the interrelated fields of “econophysics” and “sociophysics”, which have emerged from the application of statistical physics to economics and sociology. Leading researchers from varied communities, including economists, sociologists, financial analysts, mathematicians, physicists, statisticians, and others, report on their recent work, discuss topical issues, and review the relevant contemporary literature. A society can be described as a group of people who inhabit the same geographical or social territory and are mutually involved through their shared participation in different aspects of life. It is possible to observe and characterize average behaviors of members of a society, an example being voting behavior. Moreover, the dynamic nature of interaction within any economic sector comprising numerous cooperatively interacting agents has many features in common with the interacting systems of statistical physics. It is on these bases that interest has grown in the application within sociology and economics of the tools of statistical mechanics. This book will be of value for all with an interest in this flourishing field.
In many areas of finance and stochastics, significant advances have been made since this field of research was opened by Black, Scholes and Merton in 1973. This volume contains a collection of original articles by a number of highly distinguished authors, on research topics that are currently in the focus of interest of both academics and practitioners.
This is a thoroughly updated edition of Dynamic Asset Pricing Theory, the standard text for doctoral students and researchers on the theory of asset pricing and portfolio selection in multiperiod settings under uncertainty. The asset pricing results are based on the three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality, and equilibrium. These results are unified with two key concepts, state prices and martingales. Technicalities are given relatively little emphasis, so as to draw connections between these concepts and to make plain the similarities between discrete and continuous-time models. Readers will be particularly intrigued by this latest edition's most significant new feature: a chapter on corporate securities that offers alternative approaches to the valuation of corporate debt. Also, while much of the continuous-time portion of the theory is based on Brownian motion, this third edition introduces jumps--for example, those associated with Poisson arrivals--in order to accommodate surprise events such as bond defaults. Applications include term-structure models, derivative valuation, and hedging methods. Numerical methods covered include Monte Carlo simulation and finite-difference solutions for partial differential equations. Each chapter provides extensive problem exercises and notes to the literature. A system of appendixes reviews the necessary mathematical concepts. And references have been updated throughout. With this new edition, Dynamic Asset Pricing Theory remains at the head of the field.
