Local search for constrained financial portfolio selection problems with short sellings

  • Authors:
  • Luca Di Gaspero;Giacomo di Tollo;Andrea Roli;Andrea Schaerf

  • Affiliations:
  • DIEGM, Università degli Studi di Udine, Udine, Italy;LERIA, Université d'Angers en Pays-de-Loire, Angers, France;DEIS, Alma Mater Studiorum Università di Bologna, Cesena, Italy;DIEGM, Università degli Studi di Udine, Udine, Italy

  • Venue:
  • LION'05 Proceedings of the 5th international conference on Learning and Intelligent Optimization
  • Year:
  • 2011

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Abstract

The Portfolio Selection Problem [7] is amongst the most studied issues in finance. In this problem, given a universe of assets (shares, options, bonds, . . . ), we are concerned in finding out a portfolio (i.e., which asset to invest in and by how much) which minimizes the risk while ensuring a given minimum return. In the most common formulation it is required that all the asset shares have to be non-negative. Even though this requirement is a common assumption behind theoretical approaches, it is not enforced in real-markets, where the presence of short positions (i.e., assets with negative shares corresponding to speculations on falling prices) is intertwined to long positions (i.e., assets with positive shares).