Continuous time mean-variance portfolio optimization with piecewise state-dependent risk aversion

被引:0
|
作者
Xiangyu Cui
Lu Xu
Yan Zeng
机构
[1] Shanghai University of Finance and Economics,School of Statistics and Management, Shanghai Key Laboratory of Financial Information Technology
[2] Shanghai University of Finance and Economics,School of Statistics and Management
[3] Sun Yat-sen University,Lingnan (University) College
来源
Optimization Letters | 2016年 / 10卷
关键词
Piecewise linear risk aversion; Continuous time mean-variance model; Time consistent policy;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, a continuous time mean-variance portfolio optimization problem is considered within a game theoretic framework, where the risk aversion function is assumed to depend on the current wealth level and the discounted (preset) investment target. We derive the explicit time consistent investment policy, and find that if the current wealth level is less (larger) than the discounted investment target, the future wealth level along the time consistent investment policy is always less (larger) than the discounted investment target.
引用
收藏
页码:1681 / 1691
页数:10
相关论文
共 50 条
  • [1] Continuous time mean-variance portfolio optimization with piecewise state-dependent risk aversion
    Cui, Xiangyu
    Xu, Lu
    Zeng, Yan
    [J]. OPTIMIZATION LETTERS, 2016, 10 (08) : 1681 - 1691
  • [2] MEAN-VARIANCE PORTFOLIO OPTIMIZATION WITH STATE-DEPENDENT RISK AVERSION
    Bjoerk, Tomas
    Murgoci, Agatha
    Zhou, Xun Yu
    [J]. MATHEMATICAL FINANCE, 2014, 24 (01) : 1 - 24
  • [3] Mean-variance portfolio selection with non-negative state-dependent risk aversion
    Wang, Tianxiao
    Jin, Zhuo
    Wei, Jiaqin
    [J]. QUANTITATIVE FINANCE, 2021, 21 (04) : 657 - 671
  • [4] Time-Consistent Portfolio Policy for Asset-Liability Mean-Variance Model with State-Dependent Risk Aversion
    Peng L.-M.
    Cui X.-Y.
    Shi Y.
    [J]. Journal of the Operations Research Society of China, 2018, 6 (1) : 175 - 188
  • [5] OPTIMAL ASSET PORTFOLIO WITH STOCHASTIC VOLATILITY UNDER THE MEAN-VARIANCE UTILITY WITH STATE-DEPENDENT RISK AVERSION
    Li, Shuang
    Luong, Chuong
    Angkola, Francisca
    Wu, Yonghong
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2016, 12 (04) : 1521 - 1533
  • [6] Heuristic mean-variance optimization in Markov decision processes using state-dependent risk aversion
    Schlosser, Rainer
    [J]. IMA JOURNAL OF MANAGEMENT MATHEMATICS, 2022, 33 (02) : 181 - 199
  • [7] Mean-variance portfolio with wealth and volatility dependent risk aversion
    Liu, Shican
    [J]. QUANTITATIVE FINANCE, 2024, 24 (06) : 735 - 751
  • [8] Dynamic Mean-Variance Portfolio Optimization with Value-at-Risk Constraint in Continuous Time
    Wang, Tongyao
    Pan, Qitong
    Wu, Weiping
    Gao, Jianjun
    Zhou, Ke
    [J]. MATHEMATICS, 2024, 12 (14)
  • [9] CONTINUOUS TIME MEAN-VARIANCE PORTFOLIO OPTIMIZATION THROUGH THE MEAN FIELD APPROACH
    Fischer, Markus
    Livieri, Giulia
    [J]. ESAIM-PROBABILITY AND STATISTICS, 2016, 20 : 30 - 44
  • [10] Robust state-dependent mean-variance portfolio selection: a closed-loop approach
    Han, Bingyan
    Pun, Chi Seng
    Wong, Hoi Ying
    [J]. FINANCE AND STOCHASTICS, 2021, 25 (03) : 529 - 561