Index tracking with fixed and variable transaction costs

Index tracking is a form of passive portfolio (fund) management that attempts to mirror the performance of a specific index and generate returns that are equal to those of the index, but without purchasing all of the stocks that make up the index. We present two mixed-integer linear programming formulations of this problem. In particular we explicitly consider both fixed and variable transaction costs. Computational results are presented for data sets drawn from major world markets.

[1]  Ismael Moya,et al.  The curvature of the tracking frontier: A new criterion for the partial index tracking problem , 2011, Math. Comput. Model..

[2]  Dietmar Maringer,et al.  Index tracking with constrained portfolios , 2007, Intell. Syst. Account. Finance Manag..

[3]  E. Takeda,et al.  Bicriteria Optimization Problem of Designing an Index Fund , 1995 .

[4]  Jan van den Berg,et al.  Optimized index tracking using a hybrid genetic algorithm , 2008, 2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence).

[5]  Chen Chen,et al.  Robust portfolio selection for index tracking , 2012, Comput. Oper. Res..

[6]  Maria Grazia Speranza,et al.  Kernel Search: An application to the index tracking problem , 2012, Eur. J. Oper. Res..

[7]  Maria Grazia Speranza,et al.  Kernel Search: a new heuristic framework for portfolio selection , 2012, Comput. Optim. Appl..

[8]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[9]  John E. Beasley,et al.  An evolutionary heuristic for the index tracking problem , 2003, Eur. J. Oper. Res..

[10]  Dietmar Maringer,et al.  Metaheuristics for the Index Tracking Problem , 2009 .

[11]  Dietmar Maringer.  Constrained Index Tracking under Loss Aversion Using Differential Evolution , 2008, Natural Computing in Computational Finance.

[12]  Sandra Paterlini,et al.  Differential evolution and combinatorial search for constrained index-tracking , 2009, Ann. Oper. Res..

[13]  Zbigniew Michalewicz,et al.  Index tracking fund enhancement using evolving multi-criteria fuzzy decision models , 2010, IEEE Congress on Evolutionary Computation.

[14]  John E. Beasley,et al.  Mixed-integer programming approaches for index tracking and enhanced indexation , 2009, Eur. J. Oper. Res..

[15]  Kees van Montfort,et al.  Index Tracking by Means of Optimized Sampling , 2008 .

[16]  Alberto Suárez,et al.  A hybrid optimization approach to index tracking , 2009, Ann. Oper. Res..

[17]  Maria Grazia Speranza,et al.  Kernel search: A general heuristic for the multi-dimensional knapsack problem , 2010, Comput. Oper. Res..

[18]  Qian Li,et al.  Enhanced index tracking based on multi-objective immune algorithm , 2011, Expert Syst. Appl..

[19]  John E. Beasley,et al.  OR-Library: Distributing Test Problems by Electronic Mail , 1990 .