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Stochastic Optimization Models in Finance

Stochastic Optimization Models in Finance
Author: William T. Ziemba
Publisher: World Scientific
Total Pages: 756
Release: 2006
Genre: Business & Economics
ISBN: 981256800X

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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.


Probabilistic Constrained Optimization

Probabilistic Constrained Optimization
Author: Stanislav Uryasev
Publisher: Springer Science & Business Media
Total Pages: 319
Release: 2013-03-09
Genre: Mathematics
ISBN: 1475731507

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Probabilistic and percentile/quantile functions play an important role in several applications, such as finance (Value-at-Risk), nuclear safety, and the environment. Recently, significant advances have been made in sensitivity analysis and optimization of probabilistic functions, which is the basis for construction of new efficient approaches. This book presents the state of the art in the theory of optimization of probabilistic functions and several engineering and finance applications, including material flow systems, production planning, Value-at-Risk, asset and liability management, and optimal trading strategies for financial derivatives (options). Audience: The book is a valuable source of information for faculty, students, researchers, and practitioners in financial engineering, operation research, optimization, computer science, and related areas.


Practical Financial Optimization

Practical Financial Optimization
Author: Soren S Nielson
Publisher: John Wiley & Sons
Total Pages: 290
Release: 2010-02-05
Genre: Business & Economics
ISBN: 1444317237

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In Practical Financial Optimization: A Library of GAMS Models, the authors provide a diverse set of models for portfolio optimization, based on the General Algebraic Modelling System. ‘GAMS’ consists of a language which allows a high-level, algebraic representation of mathematical models and a set of solvers – numerical algorithms – to solve them. The system was developed in response to the need for powerful and flexible front-end tools to manage large, real-life models. The work begins with an overview of the structure of the GAMS language, and discusses issues relating to the management of data in GAMS models. The authors provide models for mean-variance portfolio optimization which address the question of trading off the portfolio expected return against its risk. Fixed income portfolio optimization models perform standard calculations and allow the user to bootstrap a yield curve from bond prices. Dedication models allow for standard portfolio dedication with borrowing and re-investment decisions, and are extended to deal with maximisation of horizon return and to incorporate various practical considerations on the portfolio tradeability. Immunization models provide for the factor immunization of portfolios of treasury and corporate bonds. The scenario-based portfolio optimization problem is addressed with mean absolute deviation models, tracking models, regret models, conditional VaR models, expected utility maximization models and put/call efficient frontier models. The authors employ stochastic programming for dynamic portfolio optimization, developing stochastic dedication models as stochastic extensions of the fixed income models discussed in chapter 4. Two-stage and multi-stage stochastic programs extend the scenario models analysed in Chapter 5 to allow dynamic rebalancing of portfolios as time evolves and new information becomes known. Models for structuring index funds and hedging interest rate risk on international portfolios are also provided. The final chapter provides a set of ‘case studies’: models for large-scale applications of portfolio optimization, which can be used as the basis for the development of business support systems to suit any special requirements, including models for the management of participating insurance policies and personal asset allocation. The title will be a valuable guide for quantitative developers and analysts, portfolio and asset managers, investment strategists and advanced students of finance.


Simulation Approach to Two-stage Bond Portfolio Optimization Problem

Simulation Approach to Two-stage Bond Portfolio Optimization Problem
Author: Chuan Xu
Publisher:
Total Pages: 70
Release: 2014
Genre: Portfolio management
ISBN:

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Studies on two sides are done in this thesis. First, we consider bond portfolio optimization problem under stochastic optimization structure; second, specific algorithm to solve the problem is explored. A stochastic model for the problem is constructed. Investor is able to minimize the cost of setting up bond portfolio to cover random obligations with our model. The idea of rebalancing is introduced into our model. Investor could adjust the portfolio after he have set up the bond portfolio. Thus, we develop a two-stage stochastic programming with recourse model for bond optimization problem. Specific algorithms to solve the problem are also discussed in the thesis. We focus on simulation approach since it is able to handle special case of the problem whose random variables in constraints have continuous distribution. The key points of the approach are introduced and discussed. We successfully implement the approach on our model. Various numerical example tests with different scenario settings are carried out to see the impacts of different factors on the optimum value, optimum solution and the quality of results. The validity of our model and the efficiency of simulation approach are proved by the results. Several future research directions on this topic are also discussed in the thesis.


Modelling Techniques for Financial Markets and Bank Management

Modelling Techniques for Financial Markets and Bank Management
Author: Marida Bertocchi
Publisher: Springer Science & Business Media
Total Pages: 306
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642517307

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Shown is the application of up-to-date techniques for measuring efficiency, information imperfection and predictability in financial markets. Moreover, trading strategies in commodity future markets, models for the evolution of interest rates and postoptimality analysis in portfolio management are given. A couple of conceptual papers on modelling preference relations are also included.


Handbook of Analytic Computational Methods in Applied Mathematics

Handbook of Analytic Computational Methods in Applied Mathematics
Author: George Anastassiou
Publisher: CRC Press
Total Pages: 413
Release: 2019-06-03
Genre: Mathematics
ISBN: 0429525117

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Working computationally in applied mathematics is the very essence of dealing with real-world problems in science and engineering. Approximation theory-on the borderline between pure and applied mathematics- has always supplied some of the most innovative ideas, computational methods, and original approaches to many types of problems. The f