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  • 标题:Multi-Period Portfolio Selection with No-Shorting Constraints: Duality Analysis
  • 本地全文:下载
  • 作者:Jun Qi ; Lan Yi
  • 期刊名称:Journal of Mathematical Finance
  • 印刷版ISSN:2162-2434
  • 电子版ISSN:2162-2442
  • 出版年度:2017
  • 卷号:07
  • 期号:03
  • 页码:751-768
  • DOI:10.4236/jmf.2017.73040
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:This paper considers a multi-period mean-variance portfolio selection problem with no shorting constraint. We assume that the sample space is finite, and the possible securities price vector transitions is equivalent to the number of securities. By making use of the embedding technique of Li and Ng (2000), the original nonseparable problem can be solved by introducing an auxiliary problem. After the risk neutral probability is calculated, the auxiliary problem can be solved by using the martingale method of Pliska (1986). Finally, we derive a closed form of the optimal solution to the original constrained problem.
  • 关键词:Multi-Period Mean-Variance Formulation;Auxiliary Market;Martingale Method;Risk Neutral Probability;Duality;Optimal Trading Strategy
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