A global optimization problem in portfolio selection

M. Bartholomew-Biggs, S.J. Kane

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)
    91 Downloads (Pure)

    Abstract

    This paper deals with the issue of buy-in thresholds in portfolio optimization using the Markowitz approach. Optimal values of invested fractions calculated using, for instance, the classical minimum-risk problem can be unsatisfactory in practice because they lead to unrealistically small holdings of certain assets. Hence we may want to impose a discrete restriction on each invested fraction y i such as y i > y min or y i = 0. We shall describe an approach which uses a combination of local and global optimization to determine satisfactory solutions. The approach could also be applied to other discrete conditions—for instance when assets can only be purchased in units of a certain size (roundlots).
    Original languageEnglish
    Pages (from-to)329-345
    JournalComputational Management Science
    Volume6
    Issue number3
    DOIs
    Publication statusPublished - 2009

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