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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.

Corporate finance --- Operational research. Game theory --- -Mathematical optimization --- Finance --- Mathematical optimization --- lineaire algebra --- lineaire programmering --- mathematische modellen, toegepast op economie --- stochastische processen --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Mathematical models --- Mathematical optimization. --- Finances --- Optimisation mathématique --- Mathematical models. --- Modèles mathématiques --- Finance - Mathematical models --- Mathematical Sciences --- General and Others

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A production economist focuses on assessment, and will use an aggregate description of technology to answer such questions as: How does the firm compare to its competitors? Has the firm improved its production capabilities? A production engineer focuses on optimizing resources, and will use a detailed description of technology to answer a completely different set of questions: Which operations or plants should produce which products at what time? Should resource capacity be expanded and, if so, which resources should be acquired? Each group could benefit from the other group's perspective. This book offers a unified, integrated point of view that bridges the gap between these two historically distinct perspectives.

Microeconomics. --- Production (Economic theory) --- Price theory --- Economics --- Microeconomics --- Supply and demand --- Demand (Economic theory) --- Supply-side economics --- Production management. --- Industrial engineering. --- Operations research. --- Operations Management. --- Industrial and Production Engineering. --- Operations Research/Decision Theory. --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Management engineering --- Simplification in industry --- Engineering --- Value analysis (Cost control) --- Manufacturing management --- Industrial management --- Economics. --- Production engineering. --- Decision making. --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Manufacturing engineering --- Process engineering --- Mechanical engineering --- Decision making --- micro-economie --- mathematische modellen, toegepast op economie --- operations research --- stochastische modellen --- productiviteit --- kosten-batenanalyse --- performance measurement --- productmanagement

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• The book introduces the key ideas behind practical nonlinear optimization. • Computational finance—an increasingly popular area of mathematics degree programmes—is combined here with the study of an important class of numerical techniques. • The financial content of the book is designed to be relevant and interesting to specialists. However, this material—which occupies about one-third of the text—is also sufficiently accessible to allow the book to be used on optimization courses of a more general nature. • The essentials of most currently popular algorithms are described and their performance is demonstrated on a range of optimization problems arising in financial mathematics. • Theoretical convergence properties of methods are stated and formal proofs are provided in enough cases to be instructive rather than overwhelming. • Practical behaviour of methods is illustrated by computational examples and discussions of efficiency, accuracy and computational costs. • Supporting software for the examples and exercises is available (but the text does not require the reader to use or understand these particular codes). • The author has been active in optimization for over thirty years in algorithm development and application and in teaching and research supervision. Audience The book is aimed at lecturers and students (undergraduate and postgraduate) in mathematics, computational finance and related subjects. It is also useful for researchers and practitioners who need a good introduction to nonlinear optimization.

Nonlinear programming. --- Mathematical optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Programming (Mathematics) --- Electronic data processing. --- Computer science --- Finance. --- Numerical analysis. --- Optimization. --- Operations Research, Management Science. --- Numeric Computing. --- Computational Mathematics and Numerical Analysis. --- Finance, general. --- Numerical Analysis. --- Mathematics. --- Funding --- Funds --- Economics --- Currency question --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- ADP (Data processing) --- Automatic data processing --- Data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Computers --- Office practice --- Mathematics --- Automation --- Mathematical optimization --- Nonlinear programming --- Optimisation mathematique --- Programmation non lineaire --- dataverwerking --- lineaire programmering --- mathematische modellen, toegepast op economie --- portfoliobeheer --- Operations research. --- Management science. --- Computer mathematics. --- Quantitative business analysis --- Management --- Problem solving --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Operations Research, Management Science . --- Financial Economics. --- Data processing.