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Topics In Dynamic Portfolio Choice Problems
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Book Synopsis Portfolio Choice Problems by : Nicolas Chapados
Download or read book Portfolio Choice Problems written by Nicolas Chapados and published by Springer Science & Business Media. This book was released on 2011-07-12 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief offers a broad, yet concise, coverage of portfolio choice, containing both application-oriented and academic results, along with abundant pointers to the literature for further study. It cuts through many strands of the subject, presenting not only the classical results from financial economics but also approaches originating from information theory, machine learning and operations research. This compact treatment of the topic will be valuable to students entering the field, as well as practitioners looking for a broad coverage of the topic.
Book Synopsis Topics in Dynamic Portfolio Choice Problems by : Poomyos Wimonkittiwat
Download or read book Topics in Dynamic Portfolio Choice Problems written by Poomyos Wimonkittiwat and published by . This book was released on 2013 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study two important generalizations of dynamic portfolio choice problems: a portfolio choice problem with market impact costs and a portfolio choice problem under the Hidden Markov Model. In the first problem, we allow the presence of market impact and illiquidity. Illiquidity and market impact refer to the situation where it may be costly or difficult to trade a desired quantity of assets over a desire period of time. In this work, we formulate a simple model of dynamic portfolio choice that incorporates liquidity effects. The resulting problem is a stochastic linear quadratic control problem where liquidity costs are modeled as a quadratic penalty on the trading rate. Though easily computable via Riccati equations, we also derive a multiple time scale asymptotic expansion of the value function and optimal trading rate in the regime of vanishing market impact costs. This expansion reveals an interesting but intuitive relationship between the optimal trading rate for the illiquid problem and the classical Merton model for dynamic portfolio selection in perfectly liquid markets. It also gives rise to the notion of a liquidity time scale. Furthermore, the solution to our illiquid portfolio problem shows promising performance and robustness properties. In the second problem, we study dynamic portfolio choice problems under regime switching market. We assume the market follows the Hidden Markov Model with unknown transition probabilities and unknown observation statistics. The main difficulty of this dynamic programming problem is its high-dimensional state variables. The joint probability density function of the hidden regimes and the unknown quantities is part of the state variables, and this makes the problem suffer from the curse of dimensionality. Though the problem cannot be solved by any standard fashions, we propose approximate methods that tractably solve the problem. The key is to approximate the value function by that of a simpler problem where the regime is not hidden and the parameters are observable (the C-problem). This approximation allows the optimal portfolio to be computed in a semi-explicit way. The approximate solution shares the same structure with the solution of C-problem, but at the same time it provides clear insight into the unobservable extension. In addition, the performance of the proposed methods is reasonably close to the upper-bound obtained from the information relaxation problem.
Book Synopsis Problems In Portfolio Theory And The Fundamentals Of Financial Decision Making by : Leonard C Maclean
Download or read book Problems In Portfolio Theory And The Fundamentals Of Financial Decision Making written by Leonard C Maclean and published by World Scientific Publishing Company. This book was released on 2016-09-29 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of invaluable introductions, tutorials and problems which are helpful for teaching purposes and have a very broad appeal and usage. The problems cover many aspects of static and dynamic portfolio theory as well as other important subjects such as arbitrage and asset pricing, utility theory, stochastic dominance, risk aversion and static portfolio theory, risk measures, dynamic portfolio theory and asset allocation. This material could be used with important books that cover these topics including MacLean-Ziemba's The Handbook of the Fundamentals of Financial Decision Making, and Ziemba-Vickson's Stochastic Optimization Models in Finance.
Book Synopsis Solving Optimal Portfolio Choice Problems with Predictable Returns by Dynamic Programming Methods by : Siyang Wu
Download or read book Solving Optimal Portfolio Choice Problems with Predictable Returns by Dynamic Programming Methods written by Siyang Wu and published by . This book was released on 2018 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Strategic Asset Allocation by : John Y. Campbell
Download or read book Strategic Asset Allocation written by John Y. Campbell and published by OUP Oxford. This book was released on 2002-01-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Academic finance has had a remarkable impact on many financial services. Yet long-term investors have received curiously little guidance from academic financial economists. Mean-variance analysis, developed almost fifty years ago, has provided a basic paradigm for portfolio choice. This approach usefully emphasizes the ability of diversification to reduce risk, but it ignores several critically important factors. Most notably, the analysis is static; it assumes that investors care only about risks to wealth one period ahead. However, many investors—-both individuals and institutions such as charitable foundations or universities—-seek to finance a stream of consumption over a long lifetime. In addition, mean-variance analysis treats financial wealth in isolation from income. Long-term investors typically receive a stream of income and use it, along with financial wealth, to support their consumption. At the theoretical level, it is well understood that the solution to a long-term portfolio choice problem can be very different from the solution to a short-term problem. Long-term investors care about intertemporal shocks to investment opportunities and labor income as well as shocks to wealth itself, and they may use financial assets to hedge their intertemporal risks. This should be important in practice because there is a great deal of empirical evidence that investment opportunities—-both interest rates and risk premia on bonds and stocks—-vary through time. Yet this insight has had little influence on investment practice because it is hard to solve for optimal portfolios in intertemporal models. This book seeks to develop the intertemporal approach into an empirical paradigm that can compete with the standard mean-variance analysis. The book shows that long-term inflation-indexed bonds are the riskless asset for long-term investors, it explains the conditions under which stocks are safer assets for long-term than for short-term investors, and it shows how labor income influences portfolio choice. These results shed new light on the rules of thumb used by financial planners. The book explains recent advances in both analytical and numerical methods, and shows how they can be used to understand the portfolio choice problems of long-term investors.
Book Synopsis A Simulation Approach to Dynamic Portfolio Choice with an Application to Learning about Return Predictability by : Michael W. Brandt
Download or read book A Simulation Approach to Dynamic Portfolio Choice with an Application to Learning about Return Predictability written by Michael W. Brandt and published by . This book was released on 2004 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: "We present a simulation-based method for solving discrete-time portfolio choice problems involving non-standard preferences, a large number of assets with arbitrary return distribution, and, most importantly, a large number of state variables with potentially path-dependent or non-stationary dynamics. The method is flexible enough to accommodate intermediate consumption, portfolio constraints, parameter and model uncertainty, and learning. We first establish the properties of the method for the portfolio choice between a stock index and cash when the stock returns are either iid or predictable by the dividend yield. We then explore the problem of an investor who takes into account the predictability of returns but is uncertain about the parameters of the data generating process. The investor chooses the portfolio anticipating that future data realizations will contain useful information to learn about the true parameter values"--National Bureau of Economic Research web site.
Book Synopsis Dynamic Portfolio Choice with Bayesian Learning by : Georgios Skoulakis
Download or read book Dynamic Portfolio Choice with Bayesian Learning written by Georgios Skoulakis and published by . This book was released on 2008 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper examines the importance of parameter uncertainty and learning in the context of dynamic portfolio choice. In a discrete time setting, we consider a Bayesian investor who faces parameter uncertainty and solves her portfolio choice problem while updating her beliefs about the parameters. For different return data generating processes, including i.i.d. returns, autoregressive returns, and exogenous predictability, we show how the investor makes dynamic portfolio choices, taking into account that she will learn from future data. We find that, in general, learning introduces negative horizon effects and that ignoring parameter uncertainty may lead to significant losses in certainty equivalent return on wealth. However, the significance of learning is reduced when the investor uses more past data in her estimation and/or when her risk aversion increases. Learning about unconditional expected returns appears to be the most important aspect of the learning process. Using the earnings-to-price ratio as a predictor and an empirical Bayes prior, we find that learning reduces, but does not necessarily eliminate, the positive hedging demands induced by predictability and correlation between the return and predictor innovations.
Author :William T. Ziemba Publisher :World Scientific Series in Finance ISBN 13 :9789814759144 Total Pages :201 pages Book Rating :4.7/5 (591 download)
Book Synopsis Problems in Portfolio Theory and the Fundamentals of Financial Decision Making by : William T. Ziemba
Download or read book Problems in Portfolio Theory and the Fundamentals of Financial Decision Making written by William T. Ziemba and published by World Scientific Series in Finance. This book was released on 2016-07-11 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of invaluable introductions, tutorials and problems which are helpful for teaching purposes and have a very broad appeal and usage. The problems cover many aspects of static and dynamic portfolio theory as well as other important subjects such as arbitrage and asset pricing, utility theory, stochastic dominance, risk aversion and static portfolio theory, risk measures, dynamic portfolio theory and asset allocation. This material could be used with important books that cover these topics including MacLean-Ziemba's The Handbook of the Fundamentals of Financial Decision Making, and Ziemba-Vickson's Stochastic Optimization Models in Finance.
Book Synopsis Dynamic Portfolio Choice by : Michael W. Brandt
Download or read book Dynamic Portfolio Choice written by Michael W. Brandt and published by . This book was released on 2001 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a simulation-based method for solving realistic portfolio choice problems that potentially involve non-standard preferences and a large number of assets with arbitrary return distribution. Specifically, the return distribution can be time-varying as a function of many observable or unobservable state variables and can even be path-dependent. Furthermore, the method is flexible enough to accommodate intermediate consumption, parameter and model uncertainty, and portfolio constraints. We first establish the properties of the method for the choice between a stock index and cash when the stock returns are either iid or predictable by the dividend yield. We then explore the optimal asset allocation across ten industry portfolios that exhibit momentum through its empirical pattern of own- and cross-serial correlations of returns.
Book Synopsis Dynamic Portfolio Choice under Ambiguity and Regime Switching Mean Returns by : Hening Liu
Download or read book Dynamic Portfolio Choice under Ambiguity and Regime Switching Mean Returns written by Hening Liu and published by . This book was released on 2011 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: I examine a continuous-time intertemporal consumption and portfolio choice problem under ambiguity, where expected returns of a risky asset follow a hidden Markov chain. Investors with Chen and Epstein''s (2002) recursive multiple priors utility possess a set of priors for unobservable investment opportunities. We explicitly characterize optimal consumption and portfolio policies in terms of the Malliavin derivatives and stochastic integrals. When the model is calibrated to U.S. stock market data, I find that continuous Bayesian revisions under incomplete information generate ambiguity-driven hedging demands that mitigate intertemporal hedging demands. In addition, ambiguity aversion magnifies the importance of hedging demands in the optimal portfolio policies. Out-of-sample experiments demonstrate the economic importance of accounting for ambiguity.
Book Synopsis Dynamic Portfolio Choice with Linear Rebalancing Rules by : Ciamac C. Moallemi
Download or read book Dynamic Portfolio Choice with Linear Rebalancing Rules written by Ciamac C. Moallemi and published by . This book was released on 2015 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a broad class of dynamic portfolio optimization problems that allow for complex models of return predictability, transaction costs, trading constraints, and risk considerations. Determining an optimal policy in this general setting is almost always intractable. We propose a class of linear rebalancing rules, and describe an efficient computational procedure to optimize with this class. We illustrate this method in the context of portfolio execution, and show that it achieves near optimal performance. We consider another numerical example involving dynamic trading with mean-variance preferences and demonstrate that our method can result in economically large benefits.
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. This book was released on 2010-09-10 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Asset Pricing and Portfolio Choice Theory, Kerry E. Back at last offers what is at once a welcoming introduction to and a comprehensive overview of asset pricing. Useful as a textbook for graduate students in finance, with extensive exercises and a solutions manual available for professors, the book will also serve as an essential reference for scholars and professionals, as it includes detailed proofs and calculations as section appendices. Topics covered include the classical results on single-period, discrete-time, and continuous-time models, as well as various proposed explanations for the equity premium and risk-free rate puzzles and chapters on heterogeneous beliefs, asymmetric information, non-expected utility preferences, and production models. The book includes numerous exercises designed to provide practice with the concepts and to introduce additional results. Each chapter concludes with a notes and references section that supplies pathways to additional developments in the field.
Book Synopsis Dynamic Portfolio Theory and Management by : Richard E. Oberuc
Download or read book Dynamic Portfolio Theory and Management written by Richard E. Oberuc and published by McGraw Hill Professional. This book was released on 2004 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications by : Oscar Castillo
Download or read book Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications written by Oscar Castillo and published by Springer Nature. This book was released on 2020-02-27 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the latest advances in fuzzy logic, neural networks, and optimization algorithms, as well as their hybrid intelligent combinations, and their applications in the areas such as intelligent control, robotics, pattern recognition, medical diagnosis, time series prediction, and optimization. The topic is highly relevant as most current intelligent systems and devices use some form of intelligent feature to enhance their performance. The book also presents new and advanced models and algorithms of type-2 fuzzy logic and intuitionistic fuzzy systems, which are of great interest to researchers in these areas. Further, it proposes novel, nature-inspired optimization algorithms and innovative neural models. Featuring contributions on theoretical aspects as well as applications, the book appeals to a wide audience.
Book Synopsis Semiparametric Dynamic Portfolio Choice with Multiple Conditioning Variables by :
Download or read book Semiparametric Dynamic Portfolio Choice with Multiple Conditioning Variables written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A State-Variable Decomposition Approach for Solving Portfolio Choice Problems by : Lorenzo Garlappi
Download or read book A State-Variable Decomposition Approach for Solving Portfolio Choice Problems written by Lorenzo Garlappi and published by . This book was released on 2008 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we develop a new method for the solution of dynamic portfolio choice problems. Our approach consists of decomposing each state variable into a sum of its conditional mean and the corresponding zero-mean shock. Such a state variable decomposition (SVD) allows efficient computation of the conditional expectations required for the solution of the dynamic optimization problem. Under commonly used distributional assumptions for the state variable shocks (e.g., normality or lognormality), this decomposition allows closed-form evaluation of such expectations, thus avoiding computationally intensive quadrature or simulation-based techniques. Our approach can easily handle intermediate consumption, multiple risky assets, multiple state variables, portfolio constraints, non-expected utility preferences as well as portfolio problems in which wealth is not a redundant state variable. We illustrate the accuracy of the method by comparing our solution to either the analytical solution, whenever available, or the solution obtained by quadrature methods. Finally, we employ our method to solve a large-scale strategic asset allocation problem with recursive preferences and predictable asset returns similar to the one solved by Campbell, Chan, and Viceira (2003) via log-linear approximation. Our approach allows us to impose realistic no borrowing and short-selling constraints and its precision, unlike that of the log-linear approximation, does not rely on the elasticity of intertemporal substitution being close to unity. The versatility of our approach makes it a suitable solution method for a wide range of dynamic problems in finance and economics.
Book Synopsis Handbook of the Fundamentals of Financial Decision Making by : Leonard C. MacLean
Download or read book Handbook of the Fundamentals of Financial Decision Making written by Leonard C. MacLean and published by World Scientific. This book was released on 2013 with total page 941 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook in two parts covers key topics of the theory of financial decision making. Some of the papers discuss real applications or case studies as well. There are a number of new papers that have never been published before especially in Part II.Part I is concerned with Decision Making Under Uncertainty. This includes subsections on Arbitrage, Utility Theory, Risk Aversion and Static Portfolio Theory, and Stochastic Dominance. Part II is concerned with Dynamic Modeling that is the transition for static decision making to multiperiod decision making. The analysis starts with Risk Measures and then discusses Dynamic Portfolio Theory, Tactical Asset Allocation and Asset-Liability Management Using Utility and Goal Based Consumption-Investment Decision Models.A comprehensive set of problems both computational and review and mind expanding with many unsolved problems are in an accompanying problems book. The handbook plus the book of problems form a very strong set of materials for PhD and Masters courses both as the main or as supplementary text in finance theory, financial decision making and portfolio theory. For researchers, it is a valuable resource being an up to date treatment of topics in the classic books on these topics by Johnathan Ingersoll in 1988, and William Ziemba and Raymond Vickson in 1975 (updated 2 nd edition published in 2006).
