Korean Management Science Review (경영과학)

The Korean Operations Research and Management Science Society (한국경영과학회)
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Effects of Additional Constraints on Performance of Portfolio Selection Models with Incomplete Information : Case Study of Group Stocks in the Korean Stock Market

불완전 정보 하에서 추가적인 제약조건들이 포트폴리오 선정 모형의 성과에 미치는 영향 : 한국 주식시장의 그룹주 사례들을 중심으로

  • Received : 2014.11.24
  • Accepted : 2014.12.05
  • Published : 2015.03.31
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Abstract

Under complete information, introducing additional constraints to a portfolio will have a negative impact on performance. However, real-life investments inevitably involve use of error-prone estimations, such as expected stock returns. In addition to the reality of incomplete data, investments of most Korean domestic equity funds are regulated externally by the government, as well as internally, resulting in limited maximum investment allocation to single stocks and risk free assets. This paper presents an investment framework, which takes such real-life situations into account, based on a newly developed portfolio selection model considering realistic constraints under incomplete information. Additionally, we examined the effects of additional constraints on portfolio's performance under incomplete information, taking the well-known Samsung and SK group stocks as performance benchmarks during the period beginning from the launch of each commercial fund, 2005 and 2007 respectively, up to 2013. The empirical study shows that an investment model, built under incomplete information with additional constraints, outperformed a model built without any constraints, and benchmarks, in terms of rate of return, standard deviation of returns, and Sharpe ratio.

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References

  1. 고광수, 하연정, "주식형 펀드 투자자의 디스포지션 효과", 한국증권학회지, 제39권, 제4호(2010), pp.517-543.
  2. 김성문, 김홍선, "한국 주식시장에서 비선형계획법을 이용한 마코위츠의 포트폴리오 선정 모형의 투자 성과에 관한 연구", 경영과학, 제26권, 제2호(2009), pp.19-35.
  3. 김홍선, 정종빈, 김성문, "한국 주식시장에서 마코위츠 포트폴리오 선정 모형의 입력 변수의 정확도에 따른 투자 성과 연구", 한국경영과학회지, 제38권, 제4호(2013), pp.35-52. https://doi.org/10.7737/JKORMS.2013.38.4.035
  4. 박경찬, 정종빈, 김성문, "지수가중이동평균법과 결합된 마코위츠 포트폴리오 선정 모형 기반 투자 프레임워크 개발 : 글로벌 금융위기 상황 하 한국주식시장을 중심으로," 경영과학회지, 제38권, 제2호(2013), pp.75-93.
  5. 엄철준, "최적자산배분이론의 유용성에 관한 연구", 산업경제연구, 제16권, 제5호(2003), pp.17-26.
  6. 자본시장과 금융투자업에 관한 법률, 법률 제9408호(2009).
  7. 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
  8. Alexander, G.J. and A.M. Baptista, "Portfolio selection with a drawdown constraint," Journal of Banking and Finance, Vol.30(2006), pp.3171-3189. https://doi.org/10.1016/j.jbankfin.2005.12.006
  9. Almazan, A. and K.C. Brown, M. Carlson, and D.A. Chapman, "Why constrain your mutual fund manager?," Journal of Financial E-conomics, Vol.73(2004), pp.289-321. https://doi.org/10.1016/j.jfineco.2003.05.007
  10. Bawa, V.S., S.J. Brown, and R.W. Klein, Estimation Risk and Optimal Portfolio Choice, Amsterdam : North-Holland, 1979.
  11. Ben-Tal, A., T. Margalit, and A.N. Nemirovski, "Robust modeling of multi-stage portfolio problems," in Frenk H., K. Roos, T. Terlaky, and S. Zhang (Eds.), High performance optimization, Dordrecht : Kluwer, 2002.
  12. Bjork, T., M.H.A. Davis, and C. Landen, "Optimal investment under partial information," Mathematical Methods of Operations Research, Vol.71(2010), pp.371-399. https://doi.org/10.1007/s00186-010-0301-x
  13. Blume, M.E., "Portfolio Theory : A Step Toward Its Practical Application," The Journal of Business, Vol.43, No.2(1970), pp.152-173. https://doi.org/10.1086/295262
  14. Bodie, Z., A. Kane, and A.J. Marcus, Investments, 9th edition, New York : McGraw-Hill, 2011.
  15. Clarke, R., H. de Silvia, and S. Thorley, "Portfolio constraints and the fundamental law of active management," Financial Analysts Journal, Vol.58, No.5(2002), pp.48-66. https://doi.org/10.2469/faj.v58.n5.2468
  16. DeMiguel, V., L. Garlappi, F.J. Nogales, and R. Uppal, "A Generalized Approach to Portfolio Optimization : Improving Performance by Constraining Portfolio Norms," Management Science, Vol.55, No.5(2009), pp.798-812. https://doi.org/10.1287/mnsc.1080.0986
  17. Dothan, M.U. and D. Feldman, "Equillibrium Interest Rates and Multiperiod Bonds in a Partially Observable Economy," The Journal of Finance, Vol.XLI, No.2(1986), pp.369-382.
  18. El Ghaoui, L., M. Oks, and F. Oustry, "Worst-Case Value-At-Risk and Robust Portfolio Optimization : A Conic Programming Approach," Operations Research, Vol.51, No.4(2003), pp.543-556. https://doi.org/10.1287/opre.51.4.543.16101
  19. Goldfarb, D. and G. Iyengar, "Robust Portfolio Selection Problems," Mathematics of Operations Research, Vol.28, No.1(2003), pp.1-38. https://doi.org/10.1287/moor.28.1.1.14260
  20. Israelsen, C., "A refinement to the Sharpe ratio and information ratio," Journal of Asset Management, Vol.5, No.6(2005), pp.423-427. https://doi.org/10.1057/palgrave.jam.2240158
  21. Jagannathan, R. and T. Ma, "Risk Reduction in Large Portfolios : Why Imposing the Wrong Constraints Helps," The Journal of Finance, Vol.58, No.4(2003), pp.1651-1683. https://doi.org/10.1111/1540-6261.00580
  22. Jobson, J.D. and B. Korkie, "Estimation for Markowitz Estimation Efficient Portfolios," Journal of the American Statistical Association, Vol.75, No.371(1980), pp.544-554. https://doi.org/10.1080/01621459.1980.10477507
  23. Jobson, J.D. and B. Korkie, "Putting Markowitz theory to work," The Journal of Portfolio Management, Vol.7, No.4(1981), pp.70-74. https://doi.org/10.3905/jpm.1981.408816
  24. Jorion, P., "International Portfolio Diversification with Estimation Risk," The Journal of Business, Vol.58, No.3(1985), pp.259-278. https://doi.org/10.1086/296296
  25. Jung, J. and S. Kim, "An adaptively managed dynamic portfolio selection model using a time-varying investment target according to the market forecast," Journal of the Operational Research Society, (2014), doi:10.1057/jors.2014.72.
  26. Lakner, P., "Utility maximization with partial information," Stochastic Processes and their Applications, Vol.56(1995), pp.247-273. https://doi.org/10.1016/0304-4149(94)00073-3
  27. Lakner, P., "Optimal trading strategy for an investor : the case of partial information," Stochastic Processes and their Applications, Vol.76(1998), pp.77-97. https://doi.org/10.1016/S0304-4149(98)00032-5
  28. Markowitz, H., "Portfolio selection," Journal of Finance, Vol.7(1952), pp.77-91.
  29. Markowitz, H., Portfolio Selection : Efficient Diversification of Investments (Cowles Foundation Monograph : No.16). New York : John Wiley & Sons, 1959.
  30. Michaud, R.O., "The Markowitz Optimization Enigma : Is "Optimized" Optimal?," Financial Analysts Journal, Vol.45, No.1(1989), pp.31-42. https://doi.org/10.2469/faj.v45.n1.31
  31. Putschogl, W. and J. Sass, "Optimal consumption and investment under partial information," Decisions in Economics and Finance, Vol.31, No.2(2008), pp.137-170. https://doi.org/10.1007/s10203-008-0082-3
  32. Putschogl, W. and J. Sass, "Optimal investment under dynamic risk constraints and partial information," Quantitative Finance, Vol.11, No.10 (2011), pp.1547-1564. https://doi.org/10.1080/14697680903193413
  33. Roy, A.D., "Safety first and the holding of assets," Econometrica, Vol.20, No.3(1952), pp.431-449. https://doi.org/10.2307/1907413
  34. Sharpe, W.F., "The Sharpe Ratio," The Journal of Portfolio Management, Vol.21, No.1(1994), pp.49-58. https://doi.org/10.3905/jpm.1994.409501
  35. Yamamoto, R., T. Ishibashi, and H. Konno, "Portfolio optimization under transfer coefficient constraint," Journal of Asset Management, Vol.13, No.1(2011), pp.51-57. https://doi.org/10.1057/jam.2011.13
  36. Zellner, A. and V.K. Chetty, "Prediction and Decision Problems in Regression Models from the Bayesian Point of View," Journal of the American Statistical Association, Vol.60(1965), pp.608-616. https://doi.org/10.1080/01621459.1965.10480817