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A Stochastic Convergence Model For Portfolio Selection
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Book Synopsis A Stochastic Convergence Model for Portfolio Selection by : Amy Puelz
Download or read book A Stochastic Convergence Model for Portfolio Selection written by Amy Puelz and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Portfolio selection techniques must provide decision-makers with a dynamic model framework that incorporates realistic assumptions regarding financial markets, risk preferences and required portfolio characteristics. Unfortunately, multi-stage stochastic programming (SP) models for portfolio selection very quickly become intractable as assumptions are relaxed and uncertainty is introduced. In this paper I present an alternative model framework for portfolio selection, stochastic convergence (SC), that systematically incorporates uncertainty under a realistic assumption set. The optimal portfolio is derived through an iterative procedure where portfolio plans are evaluated under many possible future scenarios then revised until the model converges to the optimal plan. This approach allows for scenario analysis over all stochastic components, requires no limitation on the structural form of the objective or constraints, and permits evaluation over any length planning horizon while maintaining model tractability by aggregating the scenario tree at each stage in the solution process. In simulated tests, the SC model, with scenario aggregation, generated portfolios exhibiting performance similar to those generated using the SP model form with no aggregation. Empirical tests using historical fund returns show that a multi-period SC decision strategy outperforms various benchmark strategies over a long-term test horizon.
Book Synopsis Stochastic Optimization Models in Finance by : W. T. Ziemba
Download or read book Stochastic Optimization Models in Finance written by W. T. Ziemba and published by World Scientific. This book was released on 2006 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reprint of one of the classic volumes on portfolio theory and investment, this book has been used by the leading professors at universities such as Stanford, Berkeley, and Carnegie-Mellon. It contains five parts, each with a review of the literature and about 150 pages of computational and review exercises and further in-depth, challenging problems. Frequently referenced and highly usable, the material remains as fresh and relevant for a portfolio theory course as ever. Sample Chapter(s). Chapter 1: Expected Utility Theory (373 KB). Contents: Mathematical Tools: Expected Utility Theory; Convexity and the Kuhn-Tucker Conditions; Dynamic Programming; Qualitative Economic Results: Stochastic Dominance; Measures of Risk Aversion; Separation Theorems; Static Portfolio Selection Models: Mean-Variance and Safety First Approaches and Their Extensions; Existence and Diversification of Optimal Portfolio Policies: Effects of Taxes on Risk Taking; Dynamic Models Reducible to Static Models: Models That Have a Single Decision Point; Risk Aversion over Time Implies Static Risk Aversion; Myopic Portfolio Policies; Dynamic Models: Two-Period Consumption Models and Portfolio Revision; Models of Optimal Capital Accumulation and Portfolio Selection; Models of Option Strategy; The Capital Growth Criterion and Continuous-Time Models. Readership: Postdoctoral and graduate students, researchers, academics, and professionals interested in portfolio theory and stochastic optimization.
Book Synopsis Convergence of Stochastic Processes by : D. Pollard
Download or read book Convergence of Stochastic Processes written by D. Pollard and published by David Pollard. This book was released on 1984-10-08 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functionals on stochastic processes; Uniform convergence of empirical measures; Convergence in distribution in euclidean spaces; Convergence in distribution in metric spaces; The uniform metric on space of cadlag functions; The skorohod metric on D [0, oo); Central limit teorems; Martingales.
Download or read book Optimal Portfolios written by Ralf Korn and published by World Scientific. This book was released on 1997 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of the book is the construction of optimal investment strategies in a security market model where the prices follow diffusion processes. It begins by presenting the complete Black-Scholes type model and then moves on to incomplete models and models including constraints and transaction costs. The models and methods presented will include the stochastic control method of Merton, the martingale method of Cox-Huang and Karatzas et al., the log optimal method of Cover and Jamshidian, the value-preserving model of Hellwig etc.
Book Synopsis Stochastic Optimization by : Stanislav Uryasev
Download or read book Stochastic Optimization written by Stanislav Uryasev and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic programming is the study of procedures for decision making under the presence of uncertainties and risks. Stochastic programming approaches have been successfully used in a number of areas such as energy and production planning, telecommunications, and transportation. Recently, the practical experience gained in stochastic programming has been expanded to a much larger spectrum of applications including financial modeling, risk management, and probabilistic risk analysis. Major topics in this volume include: (1) advances in theory and implementation of stochastic programming algorithms; (2) sensitivity analysis of stochastic systems; (3) stochastic programming applications and other related topics. Audience: Researchers and academies working in optimization, computer modeling, operations research and financial engineering. The book is appropriate as supplementary reading in courses on optimization and financial engineering.
Book Synopsis Growth-Oriented Portfolio Selection Based on Stochastic Holding Periods by : Thomas Burkhardt
Download or read book Growth-Oriented Portfolio Selection Based on Stochastic Holding Periods written by Thomas Burkhardt and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the concept of time optimal portfolio selection, a specific model is developed which is designed for investors who wish to attain a certain predefined level of wealth and whose preferences can be defined on the distribution of the time at which this goal level is reached for the first time. This time marks the end of a then stochastic holding period for any risky investment strategy. In contrast to the meanwhile classic approach to portfolio selection originated by Markowitz, the portfolio choice is not based on the distribution of the portfolio value at a given future point in time, but on the distribution of the holding period after which the portfolio value reaches the desired level the first time. The model is based on assumptions which are compatible to those of the classic one period mode. A portfolio is considered the more desirable, the shorter the mean and the lower the variance of the holding period is. This implements a mean-variance-type model based on stochastic holding periods. The asset price dynamics is modeled by an arithmetic Brownian process. The resulting portfolio frontier is isomorphic to the portfolio frontier of the standard model for positive mean returns. The efficient set instead shows highly different qualitative properties, which are investigated in detail and exemplified using realistic data. The set of efficient portfolios of the time optimal model is a subset of those of the standard model.
Book Synopsis Stochastic Portfolio Theory by : E. Robert Fernholz
Download or read book Stochastic Portfolio Theory written by E. Robert Fernholz and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic portfolio theory is a mathematical methodology for constructing stock portfolios and for analyzing the effects induced on the behavior of these portfolios by changes in the distribution of capital in the market. Stochastic portfolio theory has both theoretical and practical applications: as a theoretical tool it can be used to construct examples of theoretical portfolios with specified characteristics and to determine the distributional component of portfolio return. This book is an introduction to stochastic portfolio theory for investment professionals and for students of mathematical finance. Each chapter includes a number of problems of varying levels of difficulty and a brief summary of the principal results of the chapter, without proofs.
Book Synopsis Stochastic Programming in Portfolio Selection by : R. J. Peters
Download or read book Stochastic Programming in Portfolio Selection written by R. J. Peters and published by . This book was released on 1979 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Modeling and Optimization by : David D. Yao
Download or read book Stochastic Modeling and Optimization written by David D. Yao and published by Springer Science & Business Media. This book was released on 2003-01-14 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This books covers the broad range of research in stochastic models and optimization. Applications presented include networks, financial engineering, production planning, and supply chain management. Each contribution is aimed at graduate students working in operations research, probability, and statistics.
Book Synopsis A Stochastic Generalized Network Model and Large-scale Algorithm for Portfolio Selection and Timing in the Frequency Domain and an Empirical Evaluation of Portfolio Performance by : C. Kenneth Jones
Download or read book A Stochastic Generalized Network Model and Large-scale Algorithm for Portfolio Selection and Timing in the Frequency Domain and an Empirical Evaluation of Portfolio Performance written by C. Kenneth Jones and published by . This book was released on 1986 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Analysis and Applications to Finance by : Tusheng Zhang
Download or read book Stochastic Analysis and Applications to Finance written by Tusheng Zhang and published by World Scientific. This book was released on 2012 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of solicited and refereed articles from distinguished researchers across the field of stochastic analysis and its application to finance. The articles represent new directions and newest developments in this exciting and fast growing area. The covered topics range from Markov processes, backward stochastic differential equations, stochastic partial differential equations, stochastic control, potential theory, functional inequalities, optimal stopping, portfolio selection, to risk measure and risk theory. It will be a very useful book for young researchers who want to learn about the research directions in the area, as well as experienced researchers who want to know about the latest developments in the area of stochastic analysis and mathematical finance. Sample Chapter(s). Editorial Foreword (58 KB). Chapter 1: Non-Linear Evolution Equations Driven by Rough Paths (399 KB). Contents: Non-Linear Evolution Equations Driven by Rough Paths (Thomas Cass, Zhongmin Qian and Jan Tudor); Optimal Stopping Times with Different Information Levels and with Time Uncertainty (Arijit Chakrabarty and Xin Guo); Finite Horizon Optimal Investment and Consumption with CARA Utility and Proportional Transaction Costs (Yingshan Chen, Min Dai and Kun Zhao); MUniform Integrability of Exponential Martingales and Spectral Bounds of Non-Local Feynman-Kac Semigroups (Zhen-Qing Chen); Continuous-Time Mean-Variance Portfolio Selection with Finite Transactions (Xiangyu Cui, Jianjun Gao and Duan Li); Quantifying Model Uncertainties in the Space of Probability Measures (J Duan, T Gao and G He); A PDE Approach to Multivariate Risk Theory (Robert J Elliott, Tak Kuen Siu and Hailiang Yang); Stochastic Analysis on Loop Groups (Shizan Fang); Existence and Stability of Measure Solutions for BSDE with Generators of Quadratic Growth (Alexander Fromm, Peter Imkeller and Jianing Zhang); Convex Capital Requirements for Large Portfolios (Hans FAllmer and Thomas Knispel); The Mixed Equilibrium of Insider Trading in the Market with Rational Expected Price (Fuzhou Gong and Hong Liu); Some Results on Backward Stochastic Differential Equations Driven by Fractional Brownian Motions (Yaozhong Hu, Daniel Ocone and Jian Song); Potential Theory of Subordinate Brownian Motions Revisited (Panki Kim, Renming Song and Zoran Vondraiek); Research on Social Causes of the Financial Crisis (Steven Kou); Wick Formulas and Inequalities for the Quaternion Gaussian and -Permanental Variables (Wenbo V Li and Ang Wei); Further Study on Web Markov Skeleton Processes (Yuting Liu, Zhi-Ming Ma and Chuan Zhou); MLE of Parameters in the Drifted Brownian Motion and Its Error (Lemee Nakamura and Weian Zheng); Optimal Partial Information Control of SPDEs with Delay and Time-Advanced Backward SPDEs (Bernt yksendal, Agn s Sulem and Tusheng Zhang); Simulation of Diversified Portfolios in Continuous Financial Markets (Eckhard Platen and Renata Rendek); Coupling and Applications (Feng-Yu Wang); SDEs and a Generalised Burgers Equation (Jiang-Lun Wu and Wei Yang); Mean-Variance Hedging in the Discontinuous Case (Jianming Xia). Readership: Graduates and researchers in stochatic analysis and mathematical finance.
Book Synopsis Portfolio Selection in Stochastic Environments by :
Download or read book Portfolio Selection in Stochastic Environments written by and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, I explicitly solve dynamic portfolio choice problems, up to the solution of an ordinary differential equation (ODE), when the asset returns are quadratic and the agent has a constant relative risk aversion (CRRA) coefficient. My solution includes as special cases many existing explicit solutions of dynamic portfolio choice problems. I also present three applications that are not in the literature. Application 1 is the bond portfolio selection problem when bond returns are described by quot;quadratic term structure models.quot; Application 2 is the stock portfolio selection problem when stock return volatility is stochastic as in Heston model. Application 3 is a bond and stock portfolio selection problem when the interest rate is stochastic and stock returns display stochastic volatility. (JEL G11).
Book Synopsis A Stochastic Programming Approach to Portfolio Selection with a New Definition of Risk by : Jill Anna Smith
Download or read book A Stochastic Programming Approach to Portfolio Selection with a New Definition of Risk written by Jill Anna Smith and published by . This book was released on 2010 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Programming Models for Dedicated Portfolio Selection by : Jeremy F. Shapiro
Download or read book Stochastic Programming Models for Dedicated Portfolio Selection written by Jeremy F. Shapiro and published by . This book was released on 1986 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Particle Swarm Optimization by : Alex Lazinica
Download or read book Particle Swarm Optimization written by Alex Lazinica and published by BoD – Books on Demand. This book was released on 2009-01-01 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particle swarm optimization (PSO) is a population based stochastic optimization technique influenced by the social behavior of bird flocking or fish schooling.PSO shares many similarities with evolutionary computation techniques such as Genetic Algorithms (GA). The system is initialized with a population of random solutions and searches for optima by updating generations. However, unlike GA, PSO has no evolution operators such as crossover and mutation. In PSO, the potential solutions, called particles, fly through the problem space by following the current optimum particles. This book represents the contributions of the top researchers in this field and will serve as a valuable tool for professionals in this interdisciplinary field.
Book Synopsis Portfolio Selection in Stochastic Environments by : Jun Liu
Download or read book Portfolio Selection in Stochastic Environments written by Jun Liu and published by . This book was released on 1999 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
