Abstract
This paper proposed a multi-period dynamic optimal portfolio selection model. Assumptions were made to assure the strictness of reasoning. This Approach depicted the developments and changing of the real stock market and is an attempt to remedy some of the deficiencies of recent researches. The model is a standard form of quadratic programming. Furthermore, this paper presented a numerical example in real stock market.
Similar content being viewed by others
References
Markovitz, H. (1952). Portfolio selection. The Journal of Finance, 7 (1): 77–91
Li, Z. & Wang, S. (2001). Portfolio Optimization and No-Arbitrage Analysis. Science Press, Beijing
Farrell, J.L. & Reinhart, W.J. (1997). Portfolio Management: Theory and Application, 2nd edition. McGraw-Hill Companies Inc.
Yang, G. & Huang, S. (2004). A multi-period dynamic model for optimal portfolio selection. In: The Fifth International Conference on Management-Management Science and Global Strategies in the 21st Century, 2: 29-33, Macau, 2004
Norio, H. (1999). Multi-period stochastic optimization models for dynamic asset allocation. Department of Administration Engineering, Keio University, Technical Report, No.99002, 1999
Dumas, B. & Luciamo, E. (1991). An exact solution to a dynamic portfolio choice problem under transaction costs. The Journal of Finance, 46 (3): 577–595
Mulvey, J.M. & Vladimirou, H. (1992). Stochastic network programming for financial planning problems. Management Science, 38 (11): 1642–1664
Dantzig, G. B. & Infanger, G. (1993). Multi-stage stochastic linear programs for portfolio optimization. Annals of Operations Research, 45: 59–76
Gennotte, G. & Jung, A. (1994). Investment strategies under transaction costs: the finite horizon case. Management Science, 40: 385–404
Akian, M. & Menaldiyand, J.L. & Sulem, A. (1996). On an investment-consumption model with transaction costs. SIAM J Cont Optim, 34: 329–364
Atkinson, C. & Mokkhavesa, S. (2004). Multi-asset portfolio optimization with transaction cost. Applied Mathematical Finance, 95–123
Ziemba, W.T. & Mulvey, J.M. (1998). Worldwide Asset and Liability Modeling, Cambridge University Press
Yang, G. & Huang, S. (2006). Numerical method for optimal portfolio selection in stock market with frictions. Journal of Management Sciences in China, 9 (3): 62–67
Author information
Authors and Affiliations
Corresponding author
Additional information
This research was supported by the Youth Foundation of Institute of Policy and Management of Chinese Academy of Sciences (O600381Q01).
Guoliang Yang, is an assistant professor in Management Science and Engineering at the Institute of Policy and Management in Chinese Academy of Sciences. He is interested in the field of portfolio selection, mathematical programming and decision support system. He has produced over ten publications in refereed journals and conference proceedings during the past several years.
Siming Huang, is a professor at the institute of policy and management in Chinese Academy of Sciences, who obtained his Ph.D. degree in the department of management sciences at the University of Iowa in 1992. His research interest lies in the field of Mathematical programming, Computational complexity, Financial mathematics and Data mining.
Wei Chen, is a researcher in the Research and Development Cente, GUODU Securities. She was born in Sept.16, 1980 and got her M.S. degree in management science in 2003. She is interested in the theory of portfolio selection and technical analysis in real Stock Market.
Rights and permissions
About this article
Cite this article
Yang, G., Huang, S. & Chen, W. An utilities based approach for multi-period dynamic portfolio selection. J. Syst. Sci. Syst. Eng. 16, 277–286 (2007). https://doi.org/10.1007/s11518-007-5051-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11518-007-5051-9