Optimal reinsurance policy under a new distortion risk measure

被引:3
作者
Zhu, Dan [1 ]
Yin, Chuancun [1 ]
机构
[1] Qufu Normal Univ, Sch Stat, Qufu 273165, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
Distortion risk measure; VaR; GlueVaR; optimal reinsurance; COMONOTONICITY;
D O I
10.1080/03610926.2021.1986538
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Distortion risk measures play an essential role in the fields of finance and risk management. In this paper, we present a new distortion risk measure with mixed methods. We then investigate the optimal reinsurance problem under the new risk measure and the closed-form solutions of optimal reinsurance policies are obtained. As special cases of the new distortion risk measure, VaR and GlueVaR are considered in the application of risk management.
引用
收藏
页码:4151 / 4164
页数:14
相关论文
共 50 条
  • [41] Optimal reinsurance in a compound Poisson risk model with dependence
    Wei, Wei
    Liang, Zhibin
    Yuen, Kam Chuen
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 58 (1-2) : 389 - 412
  • [42] Optimal reinsurance and investment problem for an insurer with counterparty risk
    Zhu, Huiming
    Deng, Chao
    Yue, Shengjie
    Deng, Yingchun
    INSURANCE MATHEMATICS & ECONOMICS, 2015, 61 : 242 - 254
  • [43] OPTIMAL REINSURANCE WITH DEFAULT RISK: A REINSURER'S PERSPECTIVE
    Chen, Tao
    Liu, Wei
    Tan, Tao
    Wu, Lijun
    Hu, Yijun
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2021, 17 (05) : 2971 - 2987
  • [44] Optimal reinsurance with regulatory initial capital and default risk
    Cai, Jun
    Lemieux, Christiane
    Liu, Fangda
    INSURANCE MATHEMATICS & ECONOMICS, 2014, 57 : 13 - 24
  • [45] Optimal reinsurance under mean-variance premium principles
    Kaluszka, M
    INSURANCE MATHEMATICS & ECONOMICS, 2001, 28 (01) : 61 - 67
  • [46] Optimal Reinsurance Problem under Fixed Cost and Exponential Preferences
    Brachetta, Matteo
    Ceci, Claudia
    MATHEMATICS, 2021, 9 (04) : 1 - 20
  • [47] Optimal reinsurance under the α-maxmin mean-variance criterion
    Zhang, Liming
    Li, Bin
    INSURANCE MATHEMATICS & ECONOMICS, 2021, 101 : 225 - 239
  • [48] Nonlinearly transformed risk measures: properties and application to optimal reinsurance
    Brandtner, Mario
    Kuersten, Wolfgang
    Rischau, Robert
    SCANDINAVIAN ACTUARIAL JOURNAL, 2020, 2020 (05) : 376 - 395
  • [49] Stable solutions for optimal reinsurance problems involving risk measures
    Balbas, Alejandro
    Balbas, Beatriz
    Heras, Antonio
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2011, 214 (03) : 796 - 804
  • [50] What attitudes to risk underlie distortion risk measure choices?
    Belles-Sampera, Jaume
    Guillen, Montserrat
    Santolino, Miguel
    INSURANCE MATHEMATICS & ECONOMICS, 2016, 68 : 101 - 109