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Author: Renata Mansini Publisher: Springer ISBN: 3319184822 Category : Business & Economics Languages : en Pages : 131
Book Description
This book presents solutions to the general problem of single period portfolio optimization. It introduces different linear models, arising from different performance measures, and the mixed integer linear models resulting from the introduction of real features. Other linear models, such as models for portfolio rebalancing and index tracking, are also covered. The book discusses computational issues and provides a theoretical framework, including the concepts of risk-averse preferences, stochastic dominance and coherent risk measures. The material is presented in a style that requires no background in finance or in portfolio optimization; some experience in linear and mixed integer models, however, is required. The book is thoroughly didactic, supplementing the concepts with comments and illustrative examples.
Author: Renata Mansini Publisher: Springer ISBN: 3319184822 Category : Business & Economics Languages : en Pages : 131
Book Description
This book presents solutions to the general problem of single period portfolio optimization. It introduces different linear models, arising from different performance measures, and the mixed integer linear models resulting from the introduction of real features. Other linear models, such as models for portfolio rebalancing and index tracking, are also covered. The book discusses computational issues and provides a theoretical framework, including the concepts of risk-averse preferences, stochastic dominance and coherent risk measures. The material is presented in a style that requires no background in finance or in portfolio optimization; some experience in linear and mixed integer models, however, is required. The book is thoroughly didactic, supplementing the concepts with comments and illustrative examples.
Author: Stephen Boyd Publisher: ISBN: 9781680833287 Category : Mathematics Languages : en Pages : 92
Book Description
This monograph collects in one place the basic deļ¬nitions, a careful description of the model, and discussion of how convex optimization can be used in multi-period trading, all in a common notation and framework.
Author: Frank J. Fabozzi Publisher: John Wiley & Sons ISBN: 0470037695 Category : Business & Economics Languages : en Pages : 673
Book Description
An inside look at modern approaches to modeling equity portfolios Financial Modeling of the Equity Market is the most comprehensive, up-to-date guide to modeling equity portfolios. The book is intended for a wide range of quantitative analysts, practitioners, and students of finance. Without sacrificing mathematical rigor, it presents arguments in a concise and clear style with a wealth of real-world examples and practical simulations. This book presents all the major approaches to single-period return analysis, including modeling, estimation, and optimization issues. It covers both static and dynamic factor analysis, regime shifts, long-run modeling, and cointegration. Estimation issues, including dimensionality reduction, Bayesian estimates, the Black-Litterman model, and random coefficient models, are also covered in depth. Important advances in transaction cost measurement and modeling, robust optimization, and recent developments in optimization with higher moments are also discussed. Sergio M. Focardi (Paris, France) is a founding partner of the Paris-based consulting firm, The Intertek Group. He is a member of the editorial board of the Journal of Portfolio Management. He is also the author of numerous articles and books on financial modeling. Petter N. Kolm, PhD (New Haven, CT and New York, NY), is a graduate student in finance at the Yale School of Management and a financial consultant in New York City. Previously, he worked in the Quantitative Strategies Group of Goldman Sachs Asset Management, where he developed quantitative investment models and strategies.
Author: Paolo Brandimarte Publisher: John Wiley & Sons ISBN: 1118625579 Category : Mathematics Languages : en Pages : 501
Book Description
A state-of-the-art introduction to the powerful mathematical and statistical tools used in the field of finance The use of mathematical models and numerical techniques is a practice employed by a growing number of applied mathematicians working on applications in finance. Reflecting this development, Numerical Methods in Finance and Economics: A MATLAB?-Based Introduction, Second Edition bridges the gap between financial theory and computational practice while showing readers how to utilize MATLAB?--the powerful numerical computing environment--for financial applications. The author provides an essential foundation in finance and numerical analysis in addition to background material for students from both engineering and economics perspectives. A wide range of topics is covered, including standard numerical analysis methods, Monte Carlo methods to simulate systems affected by significant uncertainty, and optimization methods to find an optimal set of decisions. Among this book's most outstanding features is the integration of MATLAB?, which helps students and practitioners solve relevant problems in finance, such as portfolio management and derivatives pricing. This tutorial is useful in connecting theory with practice in the application of classical numerical methods and advanced methods, while illustrating underlying algorithmic concepts in concrete terms. Newly featured in the Second Edition: * In-depth treatment of Monte Carlo methods with due attention paid to variance reduction strategies * New appendix on AMPL in order to better illustrate the optimization models in Chapters 11 and 12 * New chapter on binomial and trinomial lattices * Additional treatment of partial differential equations with two space dimensions * Expanded treatment within the chapter on financial theory to provide a more thorough background for engineers not familiar with finance * New coverage of advanced optimization methods and applications later in the text Numerical Methods in Finance and Economics: A MATLAB?-Based Introduction, Second Edition presents basic treatments and more specialized literature, and it also uses algebraic languages, such as AMPL, to connect the pencil-and-paper statement of an optimization model with its solution by a software library. Offering computational practice in both financial engineering and economics fields, this book equips practitioners with the necessary techniques to measure and manage risk.
Author: Harry Markowitz Publisher: World Scientific ISBN: 981283365X Category : Business & Economics Languages : en Pages : 719
Book Description
Harry M Markowitz received the Nobel Prize in Economics in 1990 for his pioneering work in portfolio theory. He also received the von Neumann Prize from the Institute of Management Science and the Operations Research Institute of America in 1989 for his work in portfolio theory, sparse matrices and the SIMSCRIPT computer language. While Dr Markowitz is well-known for his work on portfolio theory, his work on sparse matrices remains an essential part of linear optimization calculations. In addition, he designed and developed SIMSCRIPT OCo a computer programming language. SIMSCRIPT has been widely used for simulations of systems such as air transportation and communication networks."
Author: Gerard Cornuejols Publisher: Cambridge University Press ISBN: 9780521861700 Category : Mathematics Languages : en Pages : 358
Book Description
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.
Author: Constantin Zopounidis Publisher: Springer Science & Business Media ISBN: 0387766820 Category : Business & Economics Languages : en Pages : 494
Book Description
This comprehensive handbook discusses the most recent advances within the field of financial engineering, focusing not only on the description of the existing areas in financial engineering research, but also on the new methodologies that have been developed for modeling and addressing financial engineering problems. The book is intended for financial engineers, researchers, applied mathematicians, and graduate students interested in real-world applications to financial engineering.
Author: Stephen P. Boyd Publisher: Cambridge University Press ISBN: 9780521833783 Category : Business & Economics Languages : en Pages : 744
Book Description
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
Author: Shouyang Wang Publisher: Springer ISBN: Category : Business & Economics Languages : en Pages : 220
Book Description
This monograph consists of two parts. One part is portfolio selection theory and the other part is capital asset pricing theory. For each part, a comprehensive review of the original theory, efforts to improve the theory afterwards and future works to be done are presented. Some innovative models and empirical research works are given in subsequent chapters following the review. For example, a model for portfolio selection with order of expected returns is presented in Chapter 2, the model addresses the inaccuracy in the estimation the expected returns of securities by putting the expected returns of securities as variables rather than known constant. Readers will see some new results which are very practical and interesting. TOC:Criteria, Models and Strategies in Portfolio Selection.- A Model for Portfolio Selection with Order of Expected Returns.- A Compromise Solution to Mutual Funds Portfolio Selection with Transaction Cost.- Optimal Portfolio Selection of Assets with Transaction Costs and No Short Sales.- Portfolio Frontier with Different Rates for Borrowing and Lending.- Multi-period Investment.- Mean-Variance-Skewness Model for Portfolio Selection with Transaction Costs.- Capital Asset Pricing Theory.- Empirical Tests of CAPM for China's Stock Markets.- References.- Subject Index.- Author Index.
Author: Yinyu Ye Publisher: John Wiley & Sons ISBN: 1118030958 Category : Mathematics Languages : en Pages : 440
Book Description
The first comprehensive review of the theory and practice of one oftoday's most powerful optimization techniques. The explosive growth of research into and development of interiorpoint algorithms over the past two decades has significantlyimproved the complexity of linear programming and yielded some oftoday's most sophisticated computing techniques. This book offers acomprehensive and thorough treatment of the theory, analysis, andimplementation of this powerful computational tool. Interior Point Algorithms provides detailed coverage of all basicand advanced aspects of the subject. Beginning with an overview offundamental mathematical procedures, Professor Yinyu Ye movesswiftly on to in-depth explorations of numerous computationalproblems and the algorithms that have been developed to solve them.An indispensable text/reference for students and researchers inapplied mathematics, computer science, operations research,management science, and engineering, Interior Point Algorithms: * Derives various complexity results for linear and convexprogramming * Emphasizes interior point geometry and potential theory * Covers state-of-the-art results for extension, implementation,and other cutting-edge computational techniques * Explores the hottest new research topics, including nonlinearprogramming and nonconvex optimization.
Author: Renata Mansini
Author: Renata Mansini
Author: Stephen Boyd
Author: Frank J. Fabozzi
Author: Paolo Brandimarte
Author: Harry Markowitz
Author: Gerard Cornuejols
Author: Constantin Zopounidis
Author: Stephen P. Boyd
Author: Shouyang Wang
Author: Yinyu Ye