Vierkoetter, Matthias (2016). Minimisation of penalty payments by investments and reinsurance. Eur. Actuar. J., 6 (1). S. 233 - 256. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 2190-9741

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Abstract

This paper considers an optimal investment and reinsurance problem for an insurance company, where the surplus follows a linear diffusion. Contrary to classical models the insurer can continue doing business even if the surplus becomes negative, but penalty payments occur depending on the level of the current surplus. The insurer can invest in n risky assets and reduce the insurance risk either by excess of loss or by proportional reinsurance. The aim is to find an optimal investment and reinsurance strategy which minimises the penalty payments. We consider various penalty functions and derive closed form solutions.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Vierkoetter, MatthiasUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-270788
DOI: 10.1007/s13385-016-0128-9
Journal or Publication Title: Eur. Actuar. J.
Volume: 6
Number: 1
Page Range: S. 233 - 256
Date: 2016
Publisher: SPRINGER HEIDELBERG
Place of Publication: HEIDELBERG
ISSN: 2190-9741
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
OPTIMAL PROPORTIONAL REINSURANCE; INSURANCE COMPANY; TRANSACTION COSTS; DIFFUSION-MODELS; OPTIMAL RISK; POLICIESMultiple languages
Business, FinanceMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/27078

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