A new stock loan problem based on the mean-reverting equation in an uncertain environment

被引:0
|
作者
Xiaojing Yan
Xiangfeng Yang
Peng Zhang
Ziqian Zhang
机构
[1] University of International Business and Economics,School of Information Technology and Management
来源
Soft Computing | 2022年 / 26卷
关键词
Stock loan; Uncertain differential equation; Mean-reverting model; Uncertainty theory;
D O I
暂无
中图分类号
学科分类号
摘要
This paper investigates the valuations of stock loan, the stock loan with cyclical dividends, and the stock loan with cap based on the uncertainty theory. Assuming that stock price can be described by an uncertain mean-reverting equation, the value formulas of stock loan, the stock loan with cyclical dividends, and the stock loan with cap are derived, respectively. Based on those formulas, the loan amount can be obtained. To verify the validity of the proposed models, we give some simulation examples.
引用
收藏
页码:2741 / 2750
页数:9
相关论文
共 50 条
  • [41] Idiosyncratic risk and the cross-section of stock returns: the role of mean-reverting idiosyncratic volatility
    Stanislav Bozhkov
    Habin Lee
    Uthayasankar Sivarajah
    Stella Despoudi
    Monomita Nandy
    [J]. Annals of Operations Research, 2020, 294 : 419 - 452
  • [42] ANOMALY DETECTION AND TRACKING BASED ON MEAN-REVERTING PROCESSES WITH UNKNOWN PARAMETERS
    Forti, Nicola
    Millefiori, Leonardo M.
    Braca, Paolo
    Willett, Peter
    [J]. 2019 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP), 2019, : 8449 - 8453
  • [43] Investigating ICAPM with mean-reverting dynamic conditional correlation: Evidence from an emerging stock exchange
    Rafique, Amir
    Iqbal, Khurram
    Zakaria, Muhammad
    Mujtaba, Ghulam
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 525 : 514 - 523
  • [44] Statistical proxy based mean-reverting portfolios with sparsity and volatility constraints
    Mousavi, Ahmad
    Michilidis, George
    [J]. INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH, 2024,
  • [45] Pricing VIX options based on mean-reverting models driven by information
    Yin, Ya-Hua
    Zhu, Fu-min
    Zheng, Zun-Xin
    [J]. NORTH AMERICAN JOURNAL OF ECONOMICS AND FINANCE, 2024, 74
  • [46] Investment Decision-Making of the Mining Right Values Based on Mean-Reverting
    Liu, Jianbing
    Liu, Liang
    Long, Mi
    [J]. 2009 2ND IEEE INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND INFORMATION TECHNOLOGY, VOL 5, 2009, : 235 - 239
  • [47] A novel regularization-based optimization approach to sparse mean-reverting portfolios selection
    Sadik, Somaya
    Et-tolba, Mohamed
    Nsiri, Benayad
    [J]. OPTIMIZATION AND ENGINEERING, 2023, 24 (04) : 2549 - 2577
  • [48] A novel regularization-based optimization approach to sparse mean-reverting portfolios selection
    Somaya Sadik
    Mohamed Et-tolba
    Benayad Nsiri
    [J]. Optimization and Engineering, 2023, 24 : 2549 - 2577
  • [49] Mean-reverting and Asymmetric Volatility Switching Properties of Stock Price Index, Exchange Rate and Foreign Capital in Taiwan*
    Liu, Hsiang-Hsi
    Tu, Teng-Tsai
    [J]. ASIAN ECONOMIC JOURNAL, 2011, 25 (04) : 375 - 395
  • [50] Optimal Strategy of the Dynamic Mean-Variance Problem for Pairs Trading under a Fast Mean-Reverting Stochastic Volatility Model
    Zhang, Yaoyuan
    Xiong, Dewen
    [J]. MATHEMATICS, 2023, 11 (09)