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On Arbitrage And Duality Under Model Uncertainty And Portfolio Constraints
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Book Synopsis On Arbitrage and Duality Under Model Uncertainty and Portfolio Constraints by : Erhan Bayraktar
Download or read book On Arbitrage and Duality Under Model Uncertainty and Portfolio Constraints written by Erhan Bayraktar and published by . This book was released on 2014 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the fundamental theorem of asset pricing (FTAP) and hedging prices of options under non-dominated model uncertainty and portfolio constrains in discrete time. We first show that no arbitrage holds if and only if there exists some family of probability measures such that any admissible portfolio value process is a local super-martingale under these measures. We also get the non-dominated optional decomposition with constraints. From this decomposition, we get duality of the super-hedging prices of European options, as well as the sub- and super-hedging prices of American options. Finally, we get the FTAP and duality of super-hedging prices in a market where stocks are traded dynamically and options are traded statically.
Book Synopsis Stochastic Finance by : Hans Föllmer
Download or read book Stochastic Finance written by Hans Föllmer and published by Walter de Gruyter. This book was released on 2011 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third, revised and extended edition of the classical introduction to the mathematics of finance, based on stochastic models in discrete time. In the first part of the book simple one-period models are studied, in the second part the idea
Book Synopsis Asset Pricing and Portfolio Choice Theory by : Kerry E. Back
Download or read book Asset Pricing and Portfolio Choice Theory written by Kerry E. Back and published by Oxford University Press. This book was released on 2017-01-04 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 2nd edition of Asset Pricing and Portfolio Choice Theory, Kerry E. Back offers a concise yet comprehensive introduction to and overview of asset pricing. Intended as a textbook for asset pricing theory courses at the Ph.D. or Masters in Quantitative Finance level with extensive exercises and a solutions manual available for professors, the book is also an essential reference for financial researchers and professionals, as it includes detailed proofs and calculations as section appendices. The first two parts of the book explain portfolio choice and asset pricing theory in single-period, discrete-time, and continuous-time models. For valuation, the focus throughout is on stochastic discount factors and their properties. A section on derivative securities covers the usual derivatives (options, forwards and futures, and term structure models) and also applications of perpetual options to corporate debt, real options, and optimal irreversible investment. A chapter on "explaining puzzles" and the last part of the book provide introductions to a number of additional current topics in asset pricing research, including rare disasters, long-run risks, external and internal habits, asymmetric and incomplete information, heterogeneous beliefs, and non-expected-utility preferences. Each chapter includes a "Notes and References" section providing additional pathways to the literature. Each chapter also includes extensive exercises.
Book Synopsis Paris-Princeton Lectures on Mathematical Finance 2013 by : Fred Espen Benth
Download or read book Paris-Princeton Lectures on Mathematical Finance 2013 written by Fred Espen Benth and published by Springer. This book was released on 2013-07-11 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The current volume presents four chapters touching on some of the most important and modern areas of research in Mathematical Finance: asset price bubbles (by Philip Protter); energy markets (by Fred Espen Benth); investment under transaction costs (by Paolo Guasoni and Johannes Muhle-Karbe); and numerical methods for solving stochastic equations (by Dan Crisan, K. Manolarakis and C. Nee).The Paris-Princeton Lecture Notes on Mathematical Finance, of which this is the fifth volume, publish cutting-edge research in self-contained, expository articles from renowned specialists. The aim is to produce a series of articles that can serve as an introductory reference source for research in the field.
Book Synopsis Financial Economics by : Antonio Mele
Download or read book Financial Economics written by Antonio Mele and published by MIT Press. This book was released on 2022-11-22 with total page 1147 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive reference for financial economics, balancing theoretical explanations, empirical evidence, and the practical relevance of knowledge in the field. This volume offers a comprehensive, integrated treatment of financial economics, tracking the major milestones in the field and providing methodological tools. Doing so, it balances theoretical explanations, empirical evidence, and practical relevance. It illustrates nearly a century of theoretical advances with a vast array of models, showing how real phenomena (and, at times, market practice) have helped economists reformulate existing theories. Throughout, the book offers examples and solved problems that help readers understand the main lessons conveyed by the models analyzed. The book provides a unique and authoritative reference for the field of financial economics. Part I offers the foundations of the field, introducing asset evaluation, information problems in asset markets and corporate finance, and methods of statistical inference. Part II explains the main empirical facts and the challenges these pose for financial economists, which include excess price volatility, market liquidity, market dysfunctionalities, and the countercyclical behavior of market volatility. Part III covers the main instruments that protect institutions against the volatilities and uncertainties of capital markets described in part II. Doing so, it relies on models that have become the market standard, and incorporates practices that emerged from the 2007–2008 financial crisis.
Book Synopsis Model-free Hedging by : Pierre Henry-Labordere
Download or read book Model-free Hedging written by Pierre Henry-Labordere and published by CRC Press. This book was released on 2017-05-25 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model-free Hedging: A Martingale Optimal Transport Viewpoint focuses on the computation of model-independent bounds for exotic options consistent with market prices of liquid instruments such as Vanilla options. The author gives an overview of Martingale Optimal Transport, highlighting the differences between the optimal transport and its martingale counterpart. This topic is then discussed in the context of mathematical finance.
Book Synopsis Nonlinear Option Pricing by : Julien Guyon
Download or read book Nonlinear Option Pricing written by Julien Guyon and published by CRC Press. This book was released on 2013-12-19 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Tools to Solve Your Option Pricing Problems For nonlinear PDEs encountered in quantitative finance, advanced probabilistic methods are needed to address dimensionality issues. Written by two leaders in quantitative research—including Risk magazine’s 2013 Quant of the Year—Nonlinear Option Pricing compares various numerical methods for solving high-dimensional nonlinear problems arising in option pricing. Designed for practitioners, it is the first authored book to discuss nonlinear Black-Scholes PDEs and compare the efficiency of many different methods. Real-World Solutions for Quantitative Analysts The book helps quants develop both their analytical and numerical expertise. It focuses on general mathematical tools rather than specific financial questions so that readers can easily use the tools to solve their own nonlinear problems. The authors build intuition through numerous real-world examples of numerical implementation. Although the focus is on ideas and numerical examples, the authors introduce relevant mathematical notions and important results and proofs. The book also covers several original approaches, including regression methods and dual methods for pricing chooser options, Monte Carlo approaches for pricing in the uncertain volatility model and the uncertain lapse and mortality model, the Markovian projection method and the particle method for calibrating local stochastic volatility models to market prices of vanilla options with/without stochastic interest rates, the a + bλ technique for building local correlation models that calibrate to market prices of vanilla options on a basket, and a new stochastic representation of nonlinear PDE solutions based on marked branching diffusions.
Book Synopsis Mathematical Finance by : Mark Davis
Download or read book Mathematical Finance written by Mark Davis and published by . This book was released on 1995-04-13 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent revolutions in the world of finance have created a need for mathematical expertise to solve certain problems. This study addresses the development of the unique field of mathematical finance.
Book Synopsis Mathematical Modelling and Numerical Methods in Finance by : Alain Bensoussan
Download or read book Mathematical Modelling and Numerical Methods in Finance written by Alain Bensoussan and published by Elsevier. This book was released on 2009-06-16 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical finance is a prolific scientific domain in which there exists a particular characteristic of developing both advanced theories and practical techniques simultaneously. Mathematical Modelling and Numerical Methods in Finance addresses the three most important aspects in the field: mathematical models, computational methods, and applications, and provides a solid overview of major new ideas and results in the three domains. - Coverage of all aspects of quantitative finance including models, computational methods and applications - Provides an overview of new ideas and results - Contributors are leaders of the field
Book Synopsis A Dynamic Model with Import Quota Constraints by : Suleyman Basak
Download or read book A Dynamic Model with Import Quota Constraints written by Suleyman Basak and published by . This book was released on 2002 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Efficient Asset Management by : Richard O. Michaud
Download or read book Efficient Asset Management written by Richard O. Michaud and published by Oxford University Press. This book was released on 2008-03-03 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: In spite of theoretical benefits, Markowitz mean-variance (MV) optimized portfolios often fail to meet practical investment goals of marketability, usability, and performance, prompting many investors to seek simpler alternatives. Financial experts Richard and Robert Michaud demonstrate that the limitations of MV optimization are not the result of conceptual flaws in Markowitz theory but unrealistic representation of investment information. What is missing is a realistic treatment of estimation error in the optimization and rebalancing process. The text provides a non-technical review of classical Markowitz optimization and traditional objections. The authors demonstrate that in practice the single most important limitation of MV optimization is oversensitivity to estimation error. Portfolio optimization requires a modern statistical perspective. Efficient Asset Management, Second Edition uses Monte Carlo resampling to address information uncertainty and define Resampled Efficiency (RE) technology. RE optimized portfolios represent a new definition of portfolio optimality that is more investment intuitive, robust, and provably investment effective. RE rebalancing provides the first rigorous portfolio trading, monitoring, and asset importance rules, avoiding widespread ad hoc methods in current practice. The Second Edition resolves several open issues and misunderstandings that have emerged since the original edition. The new edition includes new proofs of effectiveness, substantial revisions of statistical estimation, extensive discussion of long-short optimization, and new tools for dealing with estimation error in applications and enhancing computational efficiency. RE optimization is shown to be a Bayesian-based generalization and enhancement of Markowitz's solution. RE technology corrects many current practices that may adversely impact the investment value of trillions of dollars under current asset management. RE optimization technology may also be useful in other financial optimizations and more generally in multivariate estimation contexts of information uncertainty with Bayesian linear constraints. Michaud and Michaud's new book includes numerous additional proposals to enhance investment value including Stein and Bayesian methods for improved input estimation, the use of portfolio priors, and an economic perspective for asset-liability optimization. Applications include investment policy, asset allocation, and equity portfolio optimization. A simple global asset allocation problem illustrates portfolio optimization techniques. A final chapter includes practical advice for avoiding simple portfolio design errors. With its important implications for investment practice, Efficient Asset Management 's highly intuitive yet rigorous approach to defining optimal portfolios will appeal to investment management executives, consultants, brokers, and anyone seeking to stay abreast of current investment technology. Through practical examples and illustrations, Michaud and Michaud update the practice of optimization for modern investment management.
Book Synopsis Asset Pricing and Portfolio Choice Theory by : Kerry Back
Download or read book Asset Pricing and Portfolio Choice Theory written by Kerry Back and published by Oxford University Press, USA. This book was released on 2010 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the classical results on single-period, discrete-time, and continuous-time models of portfolio choice and asset pricing. It also treats asymmetric information, production models, various proposed explanations for the equity premium puzzle, and topics important for behavioral finance.
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Optimization Methods in Finance by : Gerard Cornuejols
Download or read book Optimization Methods in Finance written by Gerard Cornuejols and published by Cambridge University Press. This book was released on 2006-12-21 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization models play an increasingly important role in financial decisions. This is the first textbook devoted to explaining how recent advances in optimization models, methods and software can be applied to solve problems in computational finance more efficiently and accurately. Chapters discussing the theory and efficient solution methods for all major classes of optimization problems alternate with chapters illustrating their use in modeling problems of mathematical finance. The reader is guided through topics such as volatility estimation, portfolio optimization problems and constructing an index fund, using techniques such as nonlinear optimization models, quadratic programming formulations and integer programming models respectively. The book is based on Master's courses in financial engineering and comes with worked examples, exercises and case studies. It will be welcomed by applied mathematicians, operational researchers and others who work in mathematical and computational finance and who are seeking a text for self-learning or for use with courses.
Book Synopsis An Introduction to Financial Markets by : Paolo Brandimarte
Download or read book An Introduction to Financial Markets written by Paolo Brandimarte and published by John Wiley & Sons. This book was released on 2017-10-11 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: COVERS THE FUNDAMENTAL TOPICS IN MATHEMATICS, STATISTICS, AND FINANCIAL MANAGEMENT THAT ARE REQUIRED FOR A THOROUGH STUDY OF FINANCIAL MARKETS This comprehensive yet accessible book introduces students to financial markets and delves into more advanced material at a steady pace while providing motivating examples, poignant remarks, counterexamples, ideological clashes, and intuitive traps throughout. Tempered by real-life cases and actual market structures, An Introduction to Financial Markets: A Quantitative Approach accentuates theory through quantitative modeling whenever and wherever necessary. It focuses on the lessons learned from timely subject matter such as the impact of the recent subprime mortgage storm, the collapse of LTCM, and the harsh criticism on risk management and innovative finance. The book also provides the necessary foundations in stochastic calculus and optimization, alongside financial modeling concepts that are illustrated with relevant and hands-on examples. An Introduction to Financial Markets: A Quantitative Approach starts with a complete overview of the subject matter. It then moves on to sections covering fixed income assets, equity portfolios, derivatives, and advanced optimization models. This book’s balanced and broad view of the state-of-the-art in financial decision-making helps provide readers with all the background and modeling tools needed to make “honest money” and, in the process, to become a sound professional. Stresses that gut feelings are not always sufficient and that “critical thinking” and real world applications are appropriate when dealing with complex social systems involving multiple players with conflicting incentives Features a related website that contains a solution manual for end-of-chapter problems Written in a modular style for tailored classroom use Bridges a gap for business and engineering students who are familiar with the problems involved, but are less familiar with the methodologies needed to make smart decisions An Introduction to Financial Markets: A Quantitative Approach offers a balance between the need to illustrate mathematics in action and the need to understand the real life context. It is an ideal text for a first course in financial markets or investments for business, economic, statistics, engineering, decision science, and management science students.
Book Synopsis Essays on Portfolio Optimization and ESG Ratings under Risk Constraints and Incomplete Information by : Janke, Oliver
Download or read book Essays on Portfolio Optimization and ESG Ratings under Risk Constraints and Incomplete Information written by Janke, Oliver and published by Lehmanns Media. This book was released on with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we analyze various problems of dynamic portfolio optimization as well as green capital requirements under risk constraints and incomplete information. First, we examine the problem of optimal expected utility under the constraint of a utility-based shortfall risk measure in an incomplete market. The existence and uniqueness of an optimal solution to the problem are shown using a Lagrange multiplier and duality methods. Second, we consider the optimization problem under various levels of the investor’s information. By using martingale representation theorems, we demonstrate the existence and uniqueness of optimal solutions, which differ in their market dynamics. Third, we analyze the effects of green- and brownwashing on banks’ lending to firms, on the regulator’s deposit insurance subsidy, and on carbon emissions under different green capital requirement functions. Furthermore, we show that green capital requirements may compromise financial stability.
