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The Research of Discrete Mean - Variance Portfolio Problem with Time-Delay

Received: 10 October 2017     Accepted: 26 October 2017     Published: 22 November 2017
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Abstract

Due to the financial sector complicated variety of events, each financial problems from changes to know its essence, the change rule, from the change of strategy to formulate relevant policy and policy into effect, etc., the process inevitably has a certain lag. Therefore, in order to better reflect the actual situation, we study the portfolio model with delays in this paper. By joining our delay control item, the optimization model was established, the goal is to maximize earnings expectations. In this paper, it studies the continuous time without delay the mean - variance portfolio problems on the basis of existing research. It established auxiliary problem using the stochastic linear quadratic optimal control theory. Using the maximum principle, the solution of the optimal investment strategy are given and it analysis the case, the conclusion is in conformity with the actual. It studies the existing time delay portfolio strategy problem in discrete time case. Based on the stochastic LQ (linear quadratic) optimal control theory, it established the discrete time model with time delay. The paper has carried on the solution and example analysis.

Published in Mathematics and Computer Science (Volume 2, Issue 6)
DOI 10.11648/j.mcs.20170206.13
Page(s) 98-112
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

The Mean - Variance Model, Portfolio Investment, Input Delay, Optimal Control, Investment Strategy

References
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Cite This Article
  • APA Style

    Yuquan Cui, Linlin Li, Hua Liu. (2017). The Research of Discrete Mean - Variance Portfolio Problem with Time-Delay. Mathematics and Computer Science, 2(6), 98-112. https://doi.org/10.11648/j.mcs.20170206.13

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    ACS Style

    Yuquan Cui; Linlin Li; Hua Liu. The Research of Discrete Mean - Variance Portfolio Problem with Time-Delay. Math. Comput. Sci. 2017, 2(6), 98-112. doi: 10.11648/j.mcs.20170206.13

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    AMA Style

    Yuquan Cui, Linlin Li, Hua Liu. The Research of Discrete Mean - Variance Portfolio Problem with Time-Delay. Math Comput Sci. 2017;2(6):98-112. doi: 10.11648/j.mcs.20170206.13

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  • @article{10.11648/j.mcs.20170206.13,
      author = {Yuquan Cui and Linlin Li and Hua Liu},
      title = {The Research of Discrete Mean - Variance Portfolio Problem with Time-Delay},
      journal = {Mathematics and Computer Science},
      volume = {2},
      number = {6},
      pages = {98-112},
      doi = {10.11648/j.mcs.20170206.13},
      url = {https://doi.org/10.11648/j.mcs.20170206.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mcs.20170206.13},
      abstract = {Due to the financial sector complicated variety of events, each financial problems from changes to know its essence, the change rule, from the change of strategy to formulate relevant policy and policy into effect, etc., the process inevitably has a certain lag. Therefore, in order to better reflect the actual situation, we study the portfolio model with delays in this paper. By joining our delay control item, the optimization model was established, the goal is to maximize earnings expectations. In this paper, it studies the continuous time without delay the mean - variance portfolio problems on the basis of existing research. It established auxiliary problem using the stochastic linear quadratic optimal control theory. Using the maximum principle, the solution of the optimal investment strategy are given and it analysis the case, the conclusion is in conformity with the actual. It studies the existing time delay portfolio strategy problem in discrete time case. Based on the stochastic LQ (linear quadratic) optimal control theory, it established the discrete time model with time delay. The paper has carried on the solution and example analysis.},
     year = {2017}
    }
    

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  • TY  - JOUR
    T1  - The Research of Discrete Mean - Variance Portfolio Problem with Time-Delay
    AU  - Yuquan Cui
    AU  - Linlin Li
    AU  - Hua Liu
    Y1  - 2017/11/22
    PY  - 2017
    N1  - https://doi.org/10.11648/j.mcs.20170206.13
    DO  - 10.11648/j.mcs.20170206.13
    T2  - Mathematics and Computer Science
    JF  - Mathematics and Computer Science
    JO  - Mathematics and Computer Science
    SP  - 98
    EP  - 112
    PB  - Science Publishing Group
    SN  - 2575-6028
    UR  - https://doi.org/10.11648/j.mcs.20170206.13
    AB  - Due to the financial sector complicated variety of events, each financial problems from changes to know its essence, the change rule, from the change of strategy to formulate relevant policy and policy into effect, etc., the process inevitably has a certain lag. Therefore, in order to better reflect the actual situation, we study the portfolio model with delays in this paper. By joining our delay control item, the optimization model was established, the goal is to maximize earnings expectations. In this paper, it studies the continuous time without delay the mean - variance portfolio problems on the basis of existing research. It established auxiliary problem using the stochastic linear quadratic optimal control theory. Using the maximum principle, the solution of the optimal investment strategy are given and it analysis the case, the conclusion is in conformity with the actual. It studies the existing time delay portfolio strategy problem in discrete time case. Based on the stochastic LQ (linear quadratic) optimal control theory, it established the discrete time model with time delay. The paper has carried on the solution and example analysis.
    VL  - 2
    IS  - 6
    ER  - 

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Author Information
  • School of Mathematics, Shandong University, Jinan, P. R. China

  • School of Mathematics, Shandong University, Jinan, P. R. China

  • School of Mathematics, Shandong University, Jinan, P. R. China

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