Minimax portfolio optimization under interval uncertainty

Meng Yuan, Xu Lin, Junzo Watada, Vladik Kreinovich

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)


    In the 1950s, Markowitz proposed to combine different investment instruments to design a portfolio that either maximizes the expected return under constraints on volatility (risk) or minimizes the risk under given expected return. Markowitz's formulas are still widely used in financial practice. However, these formulas assume that we know the exact values of expected return and variance for each instrument, and that we know the exact covariance of every two instruments. In practice, we only know these values with some uncertainty. Often, we only know the lower and upper bounds on these values - i.e., in other words, we only know the intervals that contain these values. In this paper, we show how to select an optimal portfolio under such interval uncertainty.

    Original languageEnglish
    Pages (from-to)575-580
    Number of pages6
    JournalJournal of Advanced Computational Intelligence and Intelligent Informatics
    Issue number5
    Publication statusPublished - 2015 Sept 1


    • Interval uncertainty
    • Markowitz model
    • Portfolio optimization

    ASJC Scopus subject areas

    • Artificial Intelligence
    • Computer Vision and Pattern Recognition
    • Human-Computer Interaction


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