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A possibilistic portfolio adjusting model with new added assets

  • Zhang, Wei-Guo
  • Xiao, Wei-Lin
  • Xu, Wei-Jun
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    In order to fit changes in financial markets, portfolio managers often need to revise an existing portfolio. This article analyzes the portfolio adjusting problem with new added assets. We propose a possibilistic portfolio adjusting model with transaction costs and bounded constraints on holdings of assets, which can be transformed into a linear programming problem. Both the lower bounds on holdings and the total investment constraints influence the optimal portfolio adjusting strategies. Furthermore, a numerical example of a portfolio adjusting problem is given to illustrate our proposed effective approaches. The numerical results show the case that investors do not need to invest total capital and to hold all assets in the portfolio for some required return levels.

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    Article provided by Elsevier in its journal Economic Modelling.

    Volume (Year): 27 (2010)
    Issue (Month): 1 (January)
    Pages: 208-213

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    Handle: RePEc:eee:ecmode:v:27:y:2010:i:1:p:208-213
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    3. Zhang, Wei-Guo & Zhang, Xi-Li & Xiao, Wei-Lin, 2009. "Portfolio selection under possibilistic mean-variance utility and a SMO algorithm," European Journal of Operational Research, Elsevier, vol. 197(2), pages 693-700, September.
    4. Andre F. Perold, 1984. "Large-Scale Portfolio Optimization," Management Science, INFORMS, vol. 30(10), pages 1143-1160, October.
    5. Hatemi-J, Abdulnasser & Roca, Eduardo, 2006. "A re-examination of international portfolio diversification based on evidence from leveraged bootstrap methods," Economic Modelling, Elsevier, vol. 23(6), pages 993-1007, December.
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    7. Chen, Fen-Ying & Liao, Szu-Lang, 2009. "Modelling VaR for foreign-asset portfolios in continuous time," Economic Modelling, Elsevier, vol. 26(1), pages 234-240, January.
    8. Giove, Silvio & Funari, Stefania & Nardelli, Carla, 2006. "An interval portfolio selection problem based on regret function," European Journal of Operational Research, Elsevier, vol. 170(1), pages 253-264, April.
    9. Nitin R. Patel & Marti G. Subrahmanyam, 1982. "A Simple Algorithm for Optimal Portfolio Selection with Fixed Transaction Costs," Management Science, INFORMS, vol. 28(3), pages 303-314, March.
    10. John M. Mulvey & Hercules Vladimirou, 1992. "Stochastic Network Programming for Financial Planning Problems," Management Science, INFORMS, vol. 38(11), pages 1642-1664, November.
    11. Zhang, Wei-Guo & Wang, Ying-Luo, 2008. "An analytic derivation of admissible efficient frontier with borrowing," European Journal of Operational Research, Elsevier, vol. 184(1), pages 229-243, January.
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