Fuzzy dynamic portfolio selection for survival

  • Authors:
  • Jinli Zhang;Wansheng Tang;Cheng Wang;Ruiqing Zhao

  • Affiliations:
  • Institute of Systems Engineering, Tianjin University, Tianjin, China;Institute of Systems Engineering, Tianjin University, Tianjin, China;Institute of Systems Engineering, Tianjin University, Tianjin, China;Institute of Systems Engineering, Tianjin University, Tianjin, China

  • Venue:
  • ICIC'07 Proceedings of the intelligent computing 3rd international conference on Advanced intelligent computing theories and applications
  • Year:
  • 2007

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Abstract

A discrete-time version of dynamic portfolio selection model for survival is proposed in fuzzy environments. The investor gains an initial wealth every period and has a given consumption requirement. The investor survives only if his wealth is large enough to meet the requirement every period over a finite time horizon. After consumption the investor allocates the rest between a risky and a risk-free asset. This paper assumes that the gross rate of return on the risky asset is a fuzzy variable, then the functional equation of dynamic programming is established. In order to get the optimal investment policy, a hybrid intelligent algorithm to solve the optimal problem is presented. Finally, an illustrative case is given to demonstrate the effectiveness of the proposed algorithm.