Optimal proportional reinsurance from the point of view of cedent and reinsurer

被引:3
|
作者
D'Ortona, Nicolino Ettore [1 ]
Marcarelli, Gabriella [1 ]
机构
[1] Univ Sannio, Dept Law Econ Management & Quantitat Methods, Benevento, Italy
关键词
Reinsurance; expected utility; indifference pricing; Pareto optimality; compound Poisson distribution;
D O I
10.1080/03461238.2016.1148627
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the reinsurance market, the cedent and the reinsurer make their subjective evaluations of the utility and riskiness of the financial operations covered by a treaty by deriving preference rankings of the different kinds of agreements. If both the cedent and the reinsurer evaluate the operation underlying the treaty by means of their utility functions and adopt the criterion based on the comparison between the expected utilities in order to take into account the subjective attitude toward risk, then the indifference prices play a crucial role because they define the preference thresholds of the exchange, thus restricting the range of variability of the reinsurance price. By using an analytical approach, this paper examines the above problem identifying the margins for achieving Pareto-optimal solutions in trading insurance risks.
引用
收藏
页码:366 / 375
页数:10
相关论文
共 50 条
  • [11] VAR AND CTE BASED OPTIMAL REINSURANCE FROM A REINSURER'S PERSPECTIVE
    谭涛
    陈陶
    吴黎军
    盛玉红
    胡亦钧
    Acta Mathematica Scientia, 2020, 40 (06) : 1915 - 1927
  • [12] VaR and CTE Based Optimal Reinsurance from a Reinsurer’s Perspective
    Tao Tan
    Tao Chen
    Lijun Wu
    Yuhong Sheng
    Yijun Hu
    Acta Mathematica Scientia, 2020, 40 : 1915 - 1927
  • [13] VaR and CTE Based Optimal Reinsurance from a Reinsurer's Perspective
    Tan, Tao
    Chen, Tao
    Wu, Lijun
    Sheng, Yuhong
    Hu, Yijun
    ACTA MATHEMATICA SCIENTIA, 2020, 40 (06) : 1915 - 1927
  • [14] An Optimal Reinsurance Contract from Insurer's and Reinsurer's Viewpoints
    Bazaz, Ali Panahi
    Najafabadi, Amir T. Payandeh
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2015, 10 (02): : 970 - 982
  • [15] Robust optimal investment-reinsurance strategies with the preferred reinsurance level of reinsurer
    Zhang, Wanlu
    Meng, Hui
    AIMS MATHEMATICS, 2022, 7 (06): : 10024 - 10051
  • [16] 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
  • [17] Optimal dynamic reinsurance with worst-case default of the reinsurer
    Ralf Korn
    Lukas Müller
    European Actuarial Journal, 2022, 12 : 879 - 885
  • [18] Optimal dynamic reinsurance with worst-case default of the reinsurer
    Korn, Ralf
    Mueller, Lukas
    EUROPEAN ACTUARIAL JOURNAL, 2022, 12 (02) : 879 - 885
  • [19] Optimal investment and reinsurance for the insurer and reinsurer with the joint exponential utility
    Jiang, Wuyuan
    Miao, Zechao
    Liu, Jun
    AIMS MATHEMATICS, 2024, 9 (12): : 35181 - 35217
  • [20] Optimal Reinsurance Strategy for an Insurer and a Reinsurer with Generalized Variance Premium Principle
    Li, Danping
    Shen, Chaohai
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020