An algebraic approach to integer portfolio problems

Integer variables allow the treatment of some portfolio optimization problems in a more realistic way and introduce the possibility of adding some natural features to the model. We propose an algebraic approach to maximize the expected return under a given admissible level of risk measured by the co...

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Vydáno v:European journal of operational research Ročník 210; číslo 3; s. 647 - 659
Hlavní autoři: Castro, F., Gago, J., Hartillo, I., Puerto, J., Ucha, J.M.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier B.V 01.05.2011
Elsevier
Elsevier Sequoia S.A
Edice:European Journal of Operational Research
Témata:
ISSN:0377-2217, 1872-6860
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Shrnutí:Integer variables allow the treatment of some portfolio optimization problems in a more realistic way and introduce the possibility of adding some natural features to the model. We propose an algebraic approach to maximize the expected return under a given admissible level of risk measured by the covariance matrix. To reach an optimal portfolio it is an essential ingredient the computation of different test sets (via Gröbner basis) of linear subproblems that are used in a dual search strategy.
Bibliografie:SourceType-Scholarly Journals-1
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ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2010.11.007