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Benchmark and mean-variance problems for insurers
Author(s) -
Nicole Bäuerle
Publication year - 2005
Publication title -
mathematical methods of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 48
eISSN - 1432-5217
pISSN - 1432-2994
DOI - 10.1007/s00186-005-0446-1
Subject(s) - reinsurance , benchmark (surveying) , variance (accounting) , quadratic equation , mathematical optimization , mathematics , quadratic model , computer science , statistics , econometrics , actuarial science , economics , accounting , geodesy , geography , geometry , response surface methodology
We consider the classical Cramér-Lundberg model with dynamic proportional reinsurance and solve the problem of finding the optimal reinsurance strategy which minimizes the expected quadratic distance of the risk reserve to a given benchmark. This result is extended to a mean-variance problem.

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