It is necessary for insurance companies to establish an appropriate alarm system before the possible ruin. Having put forward the basic ideas of the alarm system for insurance companies and defined alarm times, numerical simulation of ruin distribution density and alarm times for both discrete and continuous loss distribution is given, multiple alarms for different initial capital and different capital replenishment programs are simulated, and principle of locating the aggregate capital to its business units is developed. The related results are helpful to the insurance company to improve the efficiency of capital construction funds, strategy of decentralization, and survival ability.
BAI Zhe, LI Meng-gang
. Alarm System of Insurance Companies and Capital Allocation Based on Conditional Ruin Probability[J]. Chinese Journal of Management Science, 2016
, 24(7)
: 36
-42
.
DOI: 10.16381/j.cnki.issn1003-207x.2016.07.005
[1] A.M.Best Company. Best's impairment rates and rating transition study-1977 to 2009[J]. Best Review, 2011,112(4):92.
[2] 周晶晗,赵桂芹,我国产险公司财务恶化预警研究[J].经济科学,2007,(3):113-123.
[3] 邓庆彪,文辉.基于径向基神经网络的非寿险公司财务预警研究[J].财经理论与实践,2011,32(1),25-29.
[4] 杨海珍,荆中博,魏先华,等.银行破产的财务因素分析:金融危机冲击下美国银行业的实证[J].中国管理科学,2012,20(1):71-78.
[5] 毛泽春,刘锦萼.免赔额和NCD赔付条件下保险索赔次数的分布[J].中国管理科学,2005,13(5):1-5.
[6] 白建明,尹晓玲,陈云.重尾索赔条件下现代风险模型的破产概率估计:多险种混合情形[J].中国管理科学, 2014,22(11):114-121.
[7] David C, Dickson M, Li Shuanming. The distributions of the time to reach a given level and the duration of negative surplus In the Erlang(2) risk model[J].Insurance:Mathematics and Economics,2013,52(3):490-497.
[8] Guillou A, Kratz M, Le Strat Y. An extreme value theory approach for the early detection of time clusters with application to the surveillance of Salmonella[J]. arXiv,2010:1-21.
[9] Monteiro M, Pereira I, Scotto M. Optimal alarm systems for count processes[J]. Communications in Statistics——Theory and Methods,2008,37(19):3054-3076.
[10] Besson J L, Dacorogna M, de Martin P. How much capital does a reinsurance need?[J].The Geneva Papers, 2009,34(2):159-174.
[11] Kaishev V K, Dimitrova S D. Excess of loss reinsurance under joint survival optimality[J]. Insurance:Mathematics and Economics, 2006,39(3):376-389.
[12] Myers S C, Read Jr J A.Capital allocation for insurance companies[J]. Journal of Risk and Insurance, 2009, 68(4):545-580.
