数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2013年
4期
351-366
,共16页
转移损失%保费原理%Quota-share策略%Stop-loss策略
轉移損失%保費原理%Quota-share策略%Stop-loss策略
전이손실%보비원리%Quota-share책략%Stop-loss책략
Ceded loss%Premium principle%Quota-share strategy%Stop-loss strategy
为了避免由高理赔额造成的违约,保险公司通常通过签订再保合约将一部分风险转移给再保险公司.近年来对最优再保策略的研究着眼于最小化自留损失的方差,保险公司总风险的value-at-risk或conditional tail expectation.本文研究了在expected shortfall准则下的再保策略.我们给出了最优的增凸转移损失函数,并分别讨论了有无保费限制的情形.
為瞭避免由高理賠額造成的違約,保險公司通常通過籤訂再保閤約將一部分風險轉移給再保險公司.近年來對最優再保策略的研究著眼于最小化自留損失的方差,保險公司總風險的value-at-risk或conditional tail expectation.本文研究瞭在expected shortfall準則下的再保策略.我們給齣瞭最優的增凸轉移損失函數,併分彆討論瞭有無保費限製的情形.
위료피면유고리배액조성적위약,보험공사통상통과첨정재보합약장일부분풍험전이급재보험공사.근년래대최우재보책략적연구착안우최소화자류손실적방차,보험공사총풍험적value-at-risk혹conditional tail expectation.본문연구료재expected shortfall준칙하적재보책략.아문급출료최우적증철전이손실함수,병분별토론료유무보비한제적정형.
To avoid the default due to a high claim amount, the insurer usually transfers part of its risk to the reinsurer by signing a reinsurance contract. To seek the optimal reinsurance strategy, recent studies focus on minimizing variance of the retained loss, value-at-risk or conditional tail expectation of the insurer’s total risk exposure. This note studies the reinsurance strategy under the expected shortfall criterion. We build the optimal increasing and convex ceded loss function, both cases without and with the constraint of premium are discussed.