Heuristic Algorithm for Portfolio Selection with Minimum Transaction Lots

ABSTRACT: Portfolio  selection  problem  was  first  formulated  in  a  paper  written  by  Markowitz,  where investment  diversification  can  be  translated  into  computing.  Mean-variance  model  he  introduced has been used and developed because of it’s limitations in the larger constraints found in the real world, as well as it’s computational complexity which found when it used in large-scale portfolio. Quadratic  programming  model  complexity  given  by  Markowitz  has  been  overcome  with  the development  of  the  algorithm  research.  They  introduce  a  linear  risk  function  which  solve  the portfolio  selection  problem  with  real  constraints,  i.e.  minimum  transaction  lots.  With  the  Mixed Integer  Linear  models,  proposed  a  new  heuristic  algorithm  that  starts  from  the  solution  of  the relaxation  problems  which  allow  finding  close-to-optimal  solutions.  This  algorithm  is  built  on Mixed  Integer  Linear  Programming  (MILP)  which  formulated  using  nearest  integer  search method.
Key  words:  MILP,  heuristics,  portfolio  optimization,  minimum  transaction  lots,  nearest  integer search
Author: Afnaria, Herman Mawengkang
Journal Code: jppendidikangg130059

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