MAP20130005911Cheung, K.C.Average value-at-risk minimizing reinsurance under wang's premium principle with constraints / K.C. Cheung, F. Liu, S.C.P. YamSumario: In the present work, we study the optimal reinsurance decision problem in which the Average Value-at-Risk of the retained loss is minimized under Wangs premium principle and is also subject to either (1) a budget constraint on reinsurance premium, or (2) a reinsurers probabilistic benchmark constraint of his potential loss. We show that the optimal reinsurance is a single-insurance layer under Constraint (1), and a cap insurance or a double-insurance layer under Constraint (2); moreover, under Constraint (2), we further establish that under most common circumstances (see Remark after Theorem 3), a cap insurance will suffice to be optimal. Finally, some numerical illustrations will be providedEn: Astin bulletin. - Belgium : ASTIN and AFIR Sections of the International Actuarial Association = ISSN 0515-0361. - 05/11/2012 Volumen 42 Número 2 - noviembre 2012 I. Title.
