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Metaheuristic optimization of marginal risk constrained long - short portfolios

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of portfolio optimization with its twin objectives of maximizing expected portfolio return and minimizing portfolio risk renders itself difficult for direct solving using traditional methods when constraints reflective of investor preferences, risk management and market conditions are imposed on the underlying mathematical model. Marginal risk that represents the risk contributed by an asset to the total portfolio risk is an important criterion during portfolio selection and risk management. However, the inclusion of the constraint turns the problem model into a notorious non-convex quadratic constrained quadratic programming problem that seeks acceptable solutions using metaheuristic methods. In this work, two metaheuristic methods, viz., Evolution Strategy with Hall of Fame and Differential Evolution (rand/1/bin) with Hall of Fame have been evolved to solve the complex problem and compare the quality of the solutions obtained. The experimental studies have been undertaken on the Bombay Stock Exchange (BSE200) data set for the period March 1999-March 2009. The efficiency of the portfolios obtained by the two metaheuristic methods have been analyzed using Data Envelopment Analysis.
Rocznik
Strony
259--274
Opis fizyczny
Bibliogr. 22 poz., rys.
Twórcy
  • Department of Computer Applications PSG College of Technology, Coimbatore, India
autor
  • Tactical Asset Allocation and Overlay Lombard Odier Darier Hentsch Gestion Paris, FRANCE
Bibliografia
  • 1. Andries Engelbrecht, Computational Intelligence, John Wiley, 2007.
  • 2. Andrzej Osyczka, Evolutionary algorithms for single and multicriteria design optimization, Physica –Verlag, 2002.
  • 3. Banker R D, A Charnes and W W Cooper, Some models for estimating technological and scale inefficiencies in Data Envelopment Analysis, Management Science, vol. 30, no.9, 1078-1092, 1984.
  • 4. T J Chang, N Meade, J B Beasley and Y M Sharaiha, Heuristics for cardinality constrained portfolio optimization, Computers and Operations Research, 27: 1271-1302, 2000.
  • 5. Charnes A, W W Cooper and E Rhodes, Measuring the efficiency of decision making units, European Journal of Operational Research, 2, 429-444, 1978.
  • 6. E J Elton,MJ Gruber, S J Brown andWN Goetzmann, Modern Portfolio Theory and Investment analysis, Wiley & Sons, In., Hoboken, NJ, 6th ed., 2003
  • 7. Fernandez Alberto and Sergio Gomez, Portfolio selection using neural networks, Computers and Operations Research, 34, 1177-1191, 2007.
  • 8. Gilli Manfred and Enrico Schumann, Heuristic optimization in financial modelling, SSRN: http://ssrn.com/abstract=1277114, September 29, 2008.
  • 9. R C Grinold, and R N Kahn, Active Portfolio Management: A Quantitative Approach for Producing Superior Returns and Controlling Risk, McGraw-Hill, New York, 1999.
  • 10. J A Joines and C R Houck, On the use of nonstationary penalty functions to solve nonlinear constrained optimization problems with Gas, Proceedings of the First IEEE Conference on Evolutionary Computation, pp. 579-584, 1994.
  • 11. G Kendall and Y Su, A particle swarm optimization approach in the construction of optimal risky portfolios, in Proc. Of the 23rd International Multiconference on Artificial Intelligence and Applications (IASTED, 2005) pp. 140-145, 2005.
  • 12. Maringer Dietmar, Portfolio management with heuristic optimization, Springer, 2005.
  • 13. Markowitz H M, Portfolio selection, The Journal of Finance, 7(1), 77-91, 1952.
  • 14. Shusang Zhu, Duan Li and Xiaoling Sun, Portfolio selection with marginal risk control, Journal of Computational Finance, 14(1), 3-28, 2012.
  • 15. Storn, R. and Price, K., Differential Evolution - a Simple and Efficient Heuristic for Global Optimization over Continuous Spaces, Journal of Global Optimization, Kluwer Academic Publishers, Vol. 11, pp. 341 – 359, 1997.
  • 16. Streichert Felix, Holger Ulmer and Andreas Zell, Evolutionary algorithms and the cardinality constrained portfolio optimization problem, Intl. Conf. on Operations Research, pp. 253-260, Springer, 2003.
  • 17. Thomaidis Nikos, Timotheos Angelidis, Vassilios Vassiliadis, Georgios Dounias. Active portfolio management with cardinality constraints: An application of particle swarm optimization, New Computational Methods for Financial Engineering (Spl. Issue), Journal of New Mathematics and Natural Computation, November 09, 5(3), pp. 535-555, DOI No.10.1142/S1793005709001519, 2009.
  • 18. Pai Vijayalakshmi G A , Thierry Michel. Evolutionary optimization of constrained k-means clustered assets for diversification in small portfolios, IEEE Transactions on Evolutionary Computation, 13(3), pp. 1030-1053, 2009.
  • 19. Vijayalakshmi Pai G A and Thierry Michel, Integrated metaheuristic optimization of 130-30 investment strategy based long-short portfolios, Intelligent Systems in Accounting, Finance and Management, 19, 43-74, Blackwell-Wiley, 2012.
  • 20. Vijayalakshmi Pai G A and Thierry Michel, Differential Evolution based Optimization of Evolutionary Risk Budgeted Equity Market Neutral Portfolios, Proc. IEEE World Congress on Computational Intelligence (IEEE WCCI 2012), 2012 IEEE Congress on Evolutionary Computation, pp. 1888-1895, Brisbane, Australia, June 2012.
  • 21. Vijayalakshmi Pai G A and Thierry Michel, Evolutionary optimization of Risk Budgeted Long-Short Portfolios, Proc. IEEE Symposium Series in Computational Intelligence (IEEE SSCI 2011): 2011 IEEE symposium on Computational Intelligence for Financial Engineering and Economics (CIFEr 2011), pp. 59-66, Paris, France, April 2011.
  • 22. Vitaliy Feoktistov, Differential Evolution : In search of solutions, Springer, 2006.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-9ce90337-f9a4-470d-8076-1e21595d1c72
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