Optimal non-life reinsurance under Solvency II Regime

被引:7
作者
Asimit, Alexandru V. [1 ]
Chi, Yichun [2 ]
Hu, Junlei [1 ]
机构
[1] City Univ London, Cass Business Sch, London EC1Y 8TZ, England
[2] Cent Univ Finance & Econ, China Inst Actuarial Sci, Beijing 100081, Peoples R China
基金
中国国家自然科学基金;
关键词
Optimal reinsurance; Risk margin; General premium principle; Solvency II; Technical provision; RISK MEASURES; STOP-LOSS; DISTORTION;
D O I
10.1016/j.insmatheco.2015.09.006
中图分类号
F [经济];
学科分类号
02 ;
摘要
The optimal reinsurance contract is investigated from the perspective of an insurer who would like to minimise its risk exposure under Solvency II. Under this regulatory framework, the insurer is exposed to the retained risk, reinsurance premium and change in the risk margin requirement as a result of reinsurance. Depending on how the risk margin corresponding to the reserve risk is calculated, two optimal reinsurance problems are formulated. We show that the optimal reinsurance policy can be in the form of two layers. Further, numerical examples illustrate that the optimal two-layer reinsurance contracts are only slightly different under these two methodologies. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:227 / 237
页数:11
相关论文
共 37 条
[1]   On the coherence of expected shortfall [J].
Acerbi, C ;
Tasche, D .
JOURNAL OF BANKING & FINANCE, 2002, 26 (07) :1487-1503
[2]  
ARROW KJ, 1963, AM ECON REV, V53, P941
[3]   Optimal reinsurance in the presence of counterparty default risk [J].
Asimit, Alexandru V. ;
Badescu, Alexandru M. ;
Cheung, Ka Chun .
INSURANCE MATHEMATICS & ECONOMICS, 2013, 53 (03) :690-697
[4]   Haezendonck-Goovaerts risk measures and Orlicz quantiles [J].
Bellini, Fabio ;
Gianin, Emanuela Rosazza .
INSURANCE MATHEMATICS & ECONOMICS, 2012, 51 (01) :107-114
[5]   IMPACT OF COUNTERPARTY RISK ON THE REINSURANCE MARKET [J].
Bernard, Carole ;
Ludkovski, Mike .
NORTH AMERICAN ACTUARIAL JOURNAL, 2012, 16 (01) :87-111
[6]  
Biffis E., 2012, WORKING PAPER
[7]  
Borch K., 1960, T 16 INT C ACT, VI, P597, DOI DOI 10.1017/S05150361000095572-S2.0-27244457311
[8]   Optimal retention for a stop-loss reinsurance under the VaR and CTE risk measures [J].
Cai, Jun ;
Tan, Ken Seng .
ASTIN BULLETIN, 2007, 37 (01) :93-112
[9]   Optimal reinsurance under VaR and CTE risk measures [J].
Cai, Jun ;
Tan, Ken Seng ;
Weng, Chengguo ;
Zhang, Yi .
INSURANCE MATHEMATICS & ECONOMICS, 2008, 43 (01) :185-196
[10]   The optimal reinsurance strategy - the individual claim case [J].
Centeno, M. L. ;
Guerra, M. .
INSURANCE MATHEMATICS & ECONOMICS, 2010, 46 (03) :450-460