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Linear and mixed integer programming for portfolio optimization. (English) Zbl 1316.91002

EURO Advanced Tutorials on Operational Research. Cham: Springer (ISBN 978-3-319-18481-4/hbk; 978-3-319-18482-1/ebook). xii, 119 p. (2015).
Publisher’s description: This book presents solutions to the general problem of single period portfolio optimization. It introduces different linear models, arising from different performance measures, and the mixed integer linear models resulting from the introduction of real features. Other linear models, such as models for portfolio rebalancing and index tracking, are also covered. The book discusses computational issues and provides a theoretical framework, including the concepts of risk-averse preferences, stochastic dominance and coherent risk measures. The material is presented in a style that requires no background in finance or in portfolio optimization; some experience in linear and mixed integer models, however, is required. The book is thoroughly didactic, supplementing the concepts with comments and illustrative examples.

MSC:

91-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to game theory, economics, and finance
91G10 Portfolio theory
90C90 Applications of mathematical programming
90C05 Linear programming
90C11 Mixed integer programming
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