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Published in: European Actuarial Journal 1/2012

01-07-2012 | Original Research Paper

Index clause: analytical properties and the capitalization strategy

Author: Pavel Zimmermann

Published in: European Actuarial Journal | Issue 1/2012

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Abstract

In non-life insurance, some bodily liability losses (e.g. loss of income) are paid out as annuity until specified age or death of victim. In case of excess of loss reinsurance, reinsurers often do not accept the inflation risk embedded in such losses and therefore include in the reinsurance treaty so called index clause which increases the priority by the impact of the inflation on the loss. A formula to calculate the expected reinsurance recoveries and its limiting behavior in case of presence of the index clause is derived and illustrated. A capitalization strategy which minimizes the insurer’s loss is derived.

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Appendix
Available only for authorised users
Literature
1.
go back to reference Cipra T (1998) Cohort life tables for pension insurance and pension funds in Czech Republic. Pojistne rozpravy 3:31–57 (in Czech) Cipra T (1998) Cohort life tables for pension insurance and pension funds in Czech Republic. Pojistne rozpravy 3:31–57 (in Czech)
2.
go back to reference Drieskens D et al (2012) Stochastic projection for large individual losses. Scand Actuar J 1:1–39 Drieskens D et al (2012) Stochastic projection for large individual losses. Scand Actuar J 1:1–39
3.
go back to reference Ferguson RE (1974) Nonproportional reinsurance and the index clause. In: CAS proceedings, pp 141–164 Ferguson RE (1974) Nonproportional reinsurance and the index clause. In: CAS proceedings, pp 141–164
5.
go back to reference Walhin L, Herfurth JF, De Longueville P (2001) The practical pricing of excess of loss treaties: actuarial, financial, economic and commercial aspects. Belgian Actuar Bull 1:40–57 Walhin L, Herfurth JF, De Longueville P (2001) The practical pricing of excess of loss treaties: actuarial, financial, economic and commercial aspects. Belgian Actuar Bull 1:40–57
6.
go back to reference Yeung KC (2011) Index clause for aggregate deductibles and limits in non-proportional reinsurance. Casualty Actuarial Society E-Forum, Spring (2011) Yeung KC (2011) Index clause for aggregate deductibles and limits in non-proportional reinsurance. Casualty Actuarial Society E-Forum, Spring (2011)
Metadata
Title
Index clause: analytical properties and the capitalization strategy
Author
Pavel Zimmermann
Publication date
01-07-2012
Publisher
Springer-Verlag
Published in
European Actuarial Journal / Issue 1/2012
Print ISSN: 2190-9733
Electronic ISSN: 2190-9741
DOI
https://doi.org/10.1007/s13385-012-0048-2

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