Portfolio Optimization with Transaction Costs and Preconceived Portfolio Weights

Portfolio Optimization with Transaction Costs and Preconceived Portfolio Weights
Author: Jeremy Dale Myers
Publisher:
Total Pages: 88
Release: 2009
Genre:
ISBN:

In the financial world, many quantitative investment managers have developed sophisticated statistical techniques to generate signals about expected returns from previous market data. However, the manner in which they apply this information to rebalancing their portfolios is often ad-hoc, trading off between rebalancing their assets into an allocation that generates the greatest expected return based on the generated signals and the incurred transaction costs that the reallocation will require. In this thesis, we develop an approximation to our investor's true value function which incorporates both return predictability and transaction costs. By optimizing our approximate value function at each time step, we will generate a portfolio strategy that closely emulates the optimal portfolio strategy, which is based on the true value function. In order to determine the optimal set of parameters for our approximate function which will generate the best overall portfolio performance, we develop a simulation-based method. Our computational implementation is verified against well-known base cases. We determine the optimal parameters for our approximate function in the single stock and bond case. In addition, we determine a confidence level on our simulation results. Our approximate function gives us useful insight into the optimal portfolio allocation in complex higher dimensional cases. Our function derivation and simulation methodology extend easily to portfolio allocation in higher dimensional cases, and we implement the modifications required to run these simulations. Simple cases are tested and more complex tests are specified for testing when appropriate dedicated computing resources are available.

Portfolio Optimization and Performance Analysis

Portfolio Optimization and Performance Analysis
Author: Jean-Luc Prigent
Publisher: CRC Press
Total Pages: 451
Release: 2007-05-07
Genre: Business & Economics
ISBN: 142001093X

In answer to the intense development of new financial products and the increasing complexity of portfolio management theory, Portfolio Optimization and Performance Analysis offers a solid grounding in modern portfolio theory. The book presents both standard and novel results on the axiomatics of the individual choice in an uncertain framework, cont

Modern Portfolio Optimization with NuOPTTM, S-PLUSĀ®, and S+BayesTM

Modern Portfolio Optimization with NuOPTTM, S-PLUSĀ®, and S+BayesTM
Author: Bernd Scherer
Publisher: Springer Science & Business Media
Total Pages: 422
Release: 2007-09-05
Genre: Business & Economics
ISBN: 038727586X

In recent years portfolio optimization and construction methodologies have become an increasingly critical ingredient of asset and fund management, while at the same time portfolio risk assessment has become an essential ingredient in risk management. This trend will only accelerate in the coming years. This practical handbook fills the gap between current university instruction and current industry practice. It provides a comprehensive computationally-oriented treatment of modern portfolio optimization and construction methods using the powerful NUOPT for S-PLUS optimizer.

Robust Portfolio Optimization and Management

Robust Portfolio Optimization and Management
Author: Frank J. Fabozzi
Publisher: John Wiley & Sons
Total Pages: 513
Release: 2007-04-27
Genre: Business & Economics
ISBN: 0470164891

Praise for Robust Portfolio Optimization and Management "In the half century since Harry Markowitz introduced his elegant theory for selecting portfolios, investors and scholars have extended and refined its application to a wide range of real-world problems, culminating in the contents of this masterful book. Fabozzi, Kolm, Pachamanova, and Focardi deserve high praise for producing a technically rigorous yet remarkably accessible guide to the latest advances in portfolio construction." --Mark Kritzman, President and CEO, Windham Capital Management, LLC "The topic of robust optimization (RO) has become 'hot' over the past several years, especially in real-world financial applications. This interest has been sparked, in part, by practitioners who implemented classical portfolio models for asset allocation without considering estimation and model robustness a part of their overall allocation methodology, and experienced poor performance. Anyone interested in these developments ought to own a copy of this book. The authors cover the recent developments of the RO area in an intuitive, easy-to-read manner, provide numerous examples, and discuss practical considerations. I highly recommend this book to finance professionals and students alike." --John M. Mulvey, Professor of Operations Research and Financial Engineering, Princeton University

Efficient Asset Management

Efficient Asset Management
Author: Richard O. Michaud
Publisher: Oxford University Press
Total Pages: 207
Release: 2008-03-03
Genre: Business & Economics
ISBN: 0199887195

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.