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Optimizing Portfolio Weights for the First Degree Stochastic Dominance with Maximum Utility

1차 확률적 지배를 하는 최대효용 포트폴리오 가중치의 탐색에 관한 연구

  • Ryu, Choonho (Department of Business Administration, Hongik University)
  • Received : 2013.12.31
  • Accepted : 2014.02.03
  • Published : 2014.03.31

Abstract

The stochastic dominance approach is to form a portfolio that stochastically dominates a predetermined benchmark portfolio such as KOSPI. This study is to search a set of portfolio weights for the first-order stochastic dominance with maximum utility defined in terms of mean and variance by managing the constraint set and the objective function in an iterative manner. A nonlinear programming algorithm was developed and tested with promising results against Korean stock market data sets.

Keywords

References

  1. 김진호, "평균-분산 모형과 평균-VaR 모형 간 최적위험자산배분 전략 비교", 재무연구, 제15권, 제2호(2002), pp.143-172.
  2. 류춘호, "1차 확률적 지배를 하는 최대수익 포트폴리오 가중치의 탐색에 관한 연구", 한국경영과학회지, 제34권, 제4호(2009), pp.153-163.
  3. 류춘호, "1차 확률적 지배를 하는 포트폴리오 가중치의 탐색에 관한 연구", 한국경영과학회지, 제28권, 제1호(2003), pp.25-36.
  4. 류춘호, "2차 확률적 지배를 하는 가중치의 탐색에 관한 연구 : 주식투자의 경우를 중심으로", 경영학연구, 제28권, 제1호(1999), pp.223-239.
  5. 류춘호, 신성환, "최적 포트폴리오 구성에 관한 연구", 경영연구, 홍익대학교 경영연구소, 제22권(1997), pp.363-378.
  6. 박강희, 신현정, "포트폴리오 최적화와 주가예측을 이용한 투자 모형", 대한산업공학회지, 제39권, 제6호(2013), pp.535-545. https://doi.org/10.7232/JKIIE.2013.39.6.535
  7. 박경찬, 정종빈, 김성문, "지수가중 이동평균법과 결합된 마코위츠 포트폴리오 선정 모형 기반 투자 프레임워크 개발 : 글로벌 금융위기 상황 하 한국 주식시장을 중심으로", 한국경영과학회지, 제38권, 제2호(2013), pp.75-93. https://doi.org/10.7737/JKORMS.2013.38.2.075
  8. 변진호, 최문섭, "사례연구 : 해외 프로젝트 파이낸스 투자 사례와 실물옵션기반 투자 의사결정", 대한산업공학회지, 제39권, 제5호(2013), pp.429-439. https://doi.org/10.7232/JKIIE.2013.39.5.429
  9. 전훈, 이학연, "DEA 기반 온라인 게임 성과 관리 포트폴리오 모형", 대한산업공학회지, 제39권, 제4호(2013), pp.260-270. https://doi.org/10.7232/JKIIE.2013.39.4.260
  10. 최재호, 정종빈, 김성문, "마코위츠 포트폴리오 선정 모형을 기반으로 한 투자 알고리즘 개발 및 성과평가 : 미국 및 홍콩 주식시장을 중심으로", 경영과학, 제30권, 제1호(2013), pp.73-89. https://doi.org/10.7737/KMSR.2013.30.1.073
  11. Bodie, Z., A. Kane, and A.J. Marcus, Investments, the 9th ed., Irwin/McGraw Hill, 2010.
  12. Bulmus, T. and S. Ozekici, "Portfolio Selection with Hyperexponential Utility Functions," OR Spectrum, Vol.36, No.1(2014), pp.73-93. https://doi.org/10.1007/s00291-012-0307-2
  13. Canakolu, E. and S. Ozekici, "Portfolio Selection in Stochastic Markets with Exponential Utility Functions," Annals of Operations Research, Vol.166, No.1(2009), pp.281-297. https://doi.org/10.1007/s10479-008-0406-2
  14. Carrion, M., U. Gotzes, and R. Schultz, "Risk Aversion for an Electricity Retailer with Second-order Stochastic Dominance Constraints," Computational Management Science, Vol.6, No.2(2009), pp.233-250. https://doi.org/10.1007/s10287-008-0091-2
  15. Castellano, R. and R. Cerqueti, "Roots and Effects of Financial Misperception in a Stochastic Dominance Framework," Qual Quant, Vol.47(2013), pp.3371-3389. https://doi.org/10.1007/s11135-012-9726-z
  16. Dentcheva, D. and A. Ruszczynski, "Optimality and Duality Theory for Stochastic Optimization Problems with Nonlinear Dominance Constraints," Mathematical Programming, Vol.99, No.2(2004), pp.329-350. https://doi.org/10.1007/s10107-003-0453-z
  17. Dentcheva, D. and A. Ruszczynski, "Optimization with Stochastic Dominance Constraints," SIAM Journal of Optimization, Vol.14, No.2(2003), pp.548-566. https://doi.org/10.1137/S1052623402420528
  18. Falk, C.L. and D.S. Tilley, "Packing Facility Management : Stochastic Dominance Analysis of Cost Allocation and Revenue Distribution," Agribusiness, Vol.6, No.4(1990), pp.355-369. https://doi.org/10.1002/1520-6297(199007)6:4<355::AID-AGR2720060407>3.0.CO;2-C
  19. Gordon, D., "The Role of Stochastic Dominance in Determining Discount Rates in Tort Cases," The Journal of Business and Economic Research, Vol.8, No.3(2010), pp.131-135.
  20. Gotoh, J. and H. Konno, "Third Degree Stochastic Dominance and Mean-Risk Analysis," Management Science, Vol.46, No.2 (2000), pp.289-301. https://doi.org/10.1287/mnsc.46.2.289.11928
  21. Huang, C. and R. H. Litzenberger, Foundations for Financial Economics, Englewood Cliffs, NJ, Prentice Hall, Inc., 1988.
  22. Kuosmanen, T., "Efficient Diversification According To Stochastic Dominance Criteria," Management Science, Vol.50(2004), pp.1390-1406. https://doi.org/10.1287/mnsc.1040.0284
  23. Leshno, M. and H. Levy, "Stochastic Dominance and Medical Decision Making," Health Care Management Science, Vol.7(2004), pp.207-215. https://doi.org/10.1023/B:HCMS.0000039383.54736.65
  24. Levy, H., "Stochastic Dominance and Expected Utility : Survey and Analysis," Management Science, Vol.38, No.4(1992), pp.555-591. https://doi.org/10.1287/mnsc.38.4.555
  25. Markowitz, H., "Portfolio Selection," The Journal of Finance, Vol.7(1952), pp.77-91.
  26. Mathews, T., "Portfolio Selection with Quadratic Utility Revisited," The Geneva Papers on Risk and Insurance Theory, Vol.29(2004), pp.137-144. https://doi.org/10.1023/B:GEPA.0000046566.50332.5b
  27. Matsumoto, K., "Optimal Portfolio of Low Liquid Assets with a Log-utility Function," Finance and Stochastics, Vol.10(2006), pp.121-145. https://doi.org/10.1007/s00780-005-0172-9
  28. McNamara, J.R., "Portfolio Selection Using Stochastic Dominance Criteria," Decision Sciences, Vol.29, No.4(1998), pp.785-801. https://doi.org/10.1111/j.1540-5915.1998.tb00877.x
  29. Meyer, T.O., X.-M. Li, and L.C. Rose, "Comparing Mean-Variance Test with Stochastic Dominance Tests When Assessing International Portfolio Diversification Benefits," Financial Services Review, Vol.14(2005), pp.149-168.
  30. Minoux, M., Mathematical Programming : Theory and Algorithms, New York, NY, John Wiley & Sons, Ltd., 1986.
  31. Noyan, N. and A. Ruszczynski, "Valid Inequalities and Restrictions for Stochastic Programming Problems with First Order Stochastic Dominance Constraints," Mathematical Programming, Vol.114, No.2(2008), pp.249-275. https://doi.org/10.1007/s10107-007-0100-1
  32. Ogryczak, W. and A. Ruszczynski, "Dual Stochastic Dominance and Related Mean-Risk Models," SIAM Journal of Optimization, Vol.13, No.1(2002), pp.60-78. https://doi.org/10.1137/S1052623400375075
  33. Patindol, R.A., C.D. Predo, and R.G. de Guzman, "Risk-efficient Planting Schedules for Corn in Matalom, Leyte, Philippines," Philippine Journal of Development, Vol.36, No.1(2009), pp.65-84.
  34. Ruszczynski, A. and R.J. Vanderbei, "Frontiers of Stochastically Nondominated Portfolios," Econometrica, Vol.71, No.4(2003), pp.1287-1297. https://doi.org/10.1111/1468-0262.t01-1-00448
  35. Tao, M., "The Stochastic Dominance Efficiency of the Mean-Variance Frontier," the master thesis, Concordia University, 2006.
  36. Wilson, W., C. Gustafson, and B. Dahl, "Crop Insurance in Malting Barley : A Stochastic Dominance Analysis," Agricultural Finance Review, Vol.69, No.1(2009), pp.98-112. https://doi.org/10.1108/00021460910960499