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Arbitrage Hedging And Utility Maximization Using Semi Static Trading Strategies With American Options
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Book Synopsis Arbitrage, Hedging and Utility Maximization Using Semi-Static Trading Strategies with American Options by : Erhan Bayraktar
Download or read book Arbitrage, Hedging and Utility Maximization Using Semi-Static Trading Strategies with American Options written by Erhan Bayraktar and published by . This book was released on 2015 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a financial model where stocks are available for dynamic trading, and European and American options are available for static trading (semi-static trading strategies). We assume that the American options are infinitely divisible, and can only be bought but not sold. We first get the fundamental theorem of asset pricing (FTAP) using semi-static trading strategies. Using the FTAP result, we further get the dualities for the hedging prices of European and American options. Based on the hedging dualities, we also get the duality for the utility maximization involving semi-static trading strategies.
Book Synopsis Super-Hedging American Options with Semi-Static Trading Strategies Under Model Uncertainty by : Erhan Bayraktar
Download or read book Super-Hedging American Options with Semi-Static Trading Strategies Under Model Uncertainty written by Erhan Bayraktar and published by . This book was released on 2016 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the super-hedging price of an American option in a discrete-time market in which stocks are available for dynamic trading and European options are available for static trading. We show that the super-hedging price is given by the supremum over the prices of the American option under randomized models.
Book Synopsis No-Arbitrage and Hedging with Liquid American Options by : Erhan Bayraktar
Download or read book No-Arbitrage and Hedging with Liquid American Options written by Erhan Bayraktar and published by . This book was released on 2016 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since most of the traded options on individual stocks is of American type it is of interest to generalize the results obtained in semi-static trading to the case when one is allowed to statically trade American options. However, this problem has proved to be elusive so far because of the asymmetric nature of the positions of holding versus shorting such options.Here we provide a unified framework and generalize the fundamental theorem of asset pricing (FTAP) and hedging dualities in Bayraktar and Zhou (2015, to appear in Annals of Applied Probability, also available at 'http://ssrn.com/abstract=2569256' http://ssrn.com/abstract=2569256) to the case where the investor can also short American options. Following this earlier work, we assume that the longed American options are divisible. As for the shorted American options, we show that the divisibility plays no role regarding arbitrage property and hedging prices. Then using the method of enlarging probability spaces proposed in Deng and Tan (2016, ArXiv e-prints), we convert the shorted American options to European options, and establish the FTAP and sub- and super-hedging dualities in the enlarged space both with and without model uncertainty.
Book Synopsis Making Money with Statistical Arbitrage: Generating Alpha in Sideway Markets with this Option Strategy by : Jan Becker
Download or read book Making Money with Statistical Arbitrage: Generating Alpha in Sideway Markets with this Option Strategy written by Jan Becker and published by Anchor Academic Publishing (aap_verlag). This book was released on 2013-05-17 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the following study, I am going to present a short survey of the hedge fund industry, its regulation and the existent hedge fund strategies. Statistical arbitrage in particular is explained in further detail, and major performance measurement ratios are presented. In the second part, I am going to introduce a semi-variance model for statistical arbitrage. The model is compared to the standard Garch model, which is often used in daily option trading, derivate pricing and risk management. As investment returns are not equally distributed over time, sources for statistical arbitrage occur. The semi-variance model takes skewness into account and provides higher returns at lower volatility than the Garch model. The concept is aimed to be a synopsis of mean reversion and chart pattern detection. The computer model is generated with respect to Brownian motion and technical analysis and provides significant returns to the investment. While the market efficiency hypothesis states the impossibility of long-term arbitrage opportunities, market anomalies outstand significantly. Connecting both elements creates a profitable trading system. The combination of both approaches delivers a sensible hedge fund concept. The out-of-sample backtest verifies out-performance and implies the need for further research in the area of higher moment CAPM and additional market timing strategies as sources of statistical arbitrage.
Book Synopsis Market-Consistent Prices by : Pablo Koch-Medina
Download or read book Market-Consistent Prices written by Pablo Koch-Medina and published by Springer Nature. This book was released on 2020-07-16 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arbitrage Theory provides the foundation for the pricing of financial derivatives and has become indispensable in both financial theory and financial practice. This textbook offers a rigorous and comprehensive introduction to the mathematics of arbitrage pricing in a discrete-time, finite-state economy in which a finite number of securities are traded. In a first step, various versions of the Fundamental Theorem of Asset Pricing, i.e., characterizations of when a market does not admit arbitrage opportunities, are proved. The book then focuses on incomplete markets where the main concern is to obtain a precise description of the set of “market-consistent” prices for nontraded financial contracts, i.e. the set of prices at which such contracts could be transacted between rational agents. Both European-type and American-type contracts are considered. A distinguishing feature of this book is its emphasis on market-consistent prices and a systematic description of pricing rules, also at intermediate dates. The benefits of this approach are most evident in the treatment of American options, which is novel in terms of both the presentation and the scope, while also presenting new results. The focus on discrete-time, finite-state models makes it possible to cover all relevant topics while requiring only a moderate mathematical background on the part of the reader. The book will appeal to mathematical finance and financial economics students seeking an elementary but rigorous introduction to the subject; mathematics and physics students looking for an opportunity to get acquainted with a modern applied topic; and mathematicians, physicists and quantitatively inclined economists working or planning to work in the financial industry.
Book Synopsis Advanced Options Trading by : Robert T. Daigler
Download or read book Advanced Options Trading written by Robert T. Daigler and published by McGraw Hill Professional. This book was released on 1994 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book thoroughly explains the options markets. Moreover, the work contains several unique features, including computer codes to calculate changes in options properties and a historic evaluation of options strategies and pricing theories. As a result, traders learn what works and what doesn't wor
Book Synopsis Options Arbitrage in Imperfect Markets by : Stephen Figlewski
Download or read book Options Arbitrage in Imperfect Markets written by Stephen Figlewski and published by . This book was released on 1987 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Arbitrage by : Andrew Pole
Download or read book Statistical Arbitrage written by Andrew Pole and published by LibreDigital. This book was released on 2008-03-31 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: While statistical arbitrage has faced some tough times?as markets experienced dramatic changes in dynamics beginning in 2000?new developments in algorithmic trading have allowed it to rise from the ashes of that fire. Based on the results of author Andrew Pole?s own research and experience running a statistical arbitrage hedge fund for eight years?in partnership with a group whose own history stretches back to the dawn of what was first called pairs trading?this unique guide provides detailed insights into the nuances of a proven investment strategy. Filled with in-depth insights and expert advice, Statistical Arbitrage contains comprehensive analysis that will appeal to both investors looking for an overview of this discipline, as well as quants looking for critical insights into modeling, risk management, and implementation of the strategy.
Book Synopsis Utility Maximization When Shorting American Options by : Zhou Zhou
Download or read book Utility Maximization When Shorting American Options written by Zhou Zhou and published by . This book was released on 2020 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Options Hedging & Arbitrage by : Simon Eades
Download or read book Options Hedging & Arbitrage written by Simon Eades and published by . This book was released on 1992-01-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hedging, Arbitrage, and Optimality with Superlinear Frictions by : Paolo Guasoni
Download or read book Hedging, Arbitrage, and Optimality with Superlinear Frictions written by Paolo Guasoni and published by . This book was released on 2013 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a continuous-time model with multiple assets described by cadlag processes, this paper characterizes superhedging prices, absence of arbitrage, and utility maximizing strategies, under general frictions that make execution prices arbitrarily unfavorable for high trading intensity. With such frictions, dual elements correspond to a pair of a shadow execution price combined with an equivalent martingale measure. For utility functions defined on the real line, optimal strategies exist even if arbitrage is present, because it is not scalable at will.
Book Synopsis Trading Up by : Michael J. Silverstein
Download or read book Trading Up written by Michael J. Silverstein and published by Portfolio Trade. This book was released on 2008 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study on middle-class consumerism finds that today's customers are seeking higher levels of quality, taste, and aspiration, in a revised edition of the best-seller that draws on new research to explore the trading up phenomenon to reveal how entrepreneurs, innovators, managers, and marketers can make the most out of related opportunities. Reprint.
Book Synopsis Introduction to Mathematical Finance by : David C. Heath Glen Swindle
Download or read book Introduction to Mathematical Finance written by David C. Heath Glen Swindle and published by American Mathematical Soc.. This book was released on 2000-01-25 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The foundation for the subject of mathematical finance was laid nearly 100 years ago by Bachelier in his fundamental work, Theorie de la speculation. In this work, he provided the first treatment of Brownian motion. Since then, the research of Markowitz, and then of Black, Merton, Scholes, and Samuelson brought remarkable and important strides in the field. A few years later, Harrison and Kreps demonstrated the fundamental role of martingales and stochastic analysis in constructing and understanding models for financial markets. The connection opened the door for a flood of mathematical developments and growth. Concurrently with these mathematical advances, markets have grown, and developments in both academia and industry continue to expand. This lively activity inspired an AMS Short Course at the Joint Mathematics Meetings in San Diego (CA). The present volume includes the written results of that course. Articles are featured by an impressive list of recognized researchers and practitioners. Their contributions present deep results, pose challenging questions, and suggest directions for future research. This collection offers compelling introductory articles on this new, exciting, and rapidly growing field.
Book Synopsis Introduction to the Economics and Mathematics of Financial Markets by : Jaksa Cvitanic
Download or read book Introduction to the Economics and Mathematics of Financial Markets written by Jaksa Cvitanic and published by MIT Press. This book was released on 2004-02-27 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: An innovative textbook for use in advanced undergraduate and graduate courses; accessible to students in financial mathematics, financial engineering and economics. Introduction to the Economics and Mathematics of Financial Markets fills the longstanding need for an accessible yet serious textbook treatment of financial economics. The book provides a rigorous overview of the subject, while its flexible presentation makes it suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three different degrees of sophistication: single-period, multi-period, and continuous-time. The single-period and multi-period models require only basic calculus and an introductory probability/statistics course, while an advanced undergraduate course in probability is helpful in understanding the continuous-time models. In this way, the material is given complete coverage at different levels; the less advanced student can stop before the more sophisticated mathematics and still be able to grasp the general principles of financial economics. The book is divided into three parts. The first part provides an introduction to basic securities and financial market organization, the concept of interest rates, the main mathematical models, and quantitative ways to measure risks and rewards. The second part treats option pricing and hedging; here and throughout the book, the authors emphasize the Martingale or probabilistic approach. Finally, the third part examines equilibrium models—a subject often neglected by other texts in financial mathematics, but included here because of the qualitative insight it offers into the behavior of market participants and pricing.
Download or read book Options Markets written by John C. Cox and published by Prentice Hall. This book was released on 1985 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes the first published detailed description of option exchange operations, the first published treatment using only elementary mathematics and the first step-by-step procedure for implementing the Black-Scholes formula in actual trading.
Book Synopsis Dynamic Asset Pricing Theory by : Darrell Duffie
Download or read book Dynamic Asset Pricing Theory written by Darrell Duffie and published by Princeton University Press. This book was released on 2010-01-27 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis How I Became a Quant by : Richard R. Lindsey
Download or read book How I Became a Quant written by Richard R. Lindsey and published by John Wiley & Sons. This book was released on 2011-01-11 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for How I Became a Quant "Led by two top-notch quants, Richard R. Lindsey and Barry Schachter, How I Became a Quant details the quirky world of quantitative analysis through stories told by some of today's most successful quants. For anyone who might have thought otherwise, there are engaging personalities behind all that number crunching!" --Ira Kawaller, Kawaller & Co. and the Kawaller Fund "A fun and fascinating read. This book tells the story of how academics, physicists, mathematicians, and other scientists became professional investors managing billions." --David A. Krell, President and CEO, International Securities Exchange "How I Became a Quant should be must reading for all students with a quantitative aptitude. It provides fascinating examples of the dynamic career opportunities potentially open to anyone with the skills and passion for quantitative analysis." --Roy D. Henriksson, Chief Investment Officer, Advanced Portfolio Management "Quants"--those who design and implement mathematical models for the pricing of derivatives, assessment of risk, or prediction of market movements--are the backbone of today's investment industry. As the greater volatility of current financial markets has driven investors to seek shelter from increasing uncertainty, the quant revolution has given people the opportunity to avoid unwanted financial risk by literally trading it away, or more specifically, paying someone else to take on the unwanted risk. How I Became a Quant reveals the faces behind the quant revolution, offering you?the?chance to learn firsthand what it's like to be a?quant today. In this fascinating collection of Wall Street war stories, more than two dozen quants detail their roots, roles, and contributions, explaining what they do and how they do it, as well as outlining the sometimes unexpected paths they have followed from the halls of academia to the front lines of an investment revolution.
