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Uncertain Portfolio Selection with Background Risk and Liquidity Constraint

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  • Jia Zhai
  • Manying Bai

Abstract

This paper discusses an uncertain portfolio selection problem with consideration of background risk and asset liquidity. In addition, the transaction costs are also considered. The security returns, background asset return, and asset liquidity are estimated by experienced experts instead of historical data. Regarding them as uncertain variables, a mean-risk model with background risk, liquidity, and transaction costs is proposed for portfolio selection and the crisp forms of the model are provided when security returns obey different uncertainty distributions. Moreover, for better understanding of the impact of background risk and liquidity on portfolio selection, some important theorems are proved. Finally, numerical experiments are presented to illustrate the modeling idea.

Suggested Citation

  • Jia Zhai & Manying Bai, 2017. "Uncertain Portfolio Selection with Background Risk and Liquidity Constraint," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-10, January.
  • Handle: RePEc:hin:jnlmpe:8249026
    DOI: 10.1155/2017/8249026
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    Cited by:

    1. Pejman Peykani & Mojtaba Nouri & Mir Saman Pishvaee & Camelia Oprean-Stan & Emran Mohammadi, 2023. "Credibilistic Multi-Period Mean-Entropy Rolling Portfolio Optimization Problem Based on Multi-Stage Scenario Tree," Mathematics, MDPI, vol. 11(18), pages 1-23, September.

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