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Pricing Excess of Loss Reinsurance with Reinstatements

Published online by Cambridge University Press:  29 August 2014

Ana J. Mata
Ana J. Mata*
Affiliation:
Department of Actuarial Mathematics and Statistics, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
*
Dept. Actuarial Mathematics and Statistics, Heriot-Watt University, Riccarton Edinburgh EH14 4AS, United Kingdom
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Abstract

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In this paper we discuss the concept of excess of loss reinsurance with reinstatements. The main objective is to provide a methodology to calculate the distribution of total aggregate losses for two or more consecutive layers when there is a limited number of reinstatements. We also compare different premium principles and their properties to price these treaties for any number of free or paid reinstatements.

Keywords

Excess of loss reinsurancereinstatementsmultivariate recursionspremium principlesPH Transform
Type
Workshop
Information
ASTIN Bulletin: The Journal of the IAA , Volume 30 , Issue 2 , November 2000 , pp. 349 - 368
Copyright
Copyright © International Actuarial Association 2000

References

Carter, R.L. (1981) Principles of Reinsurance. In Study Course 270, The Chartered Insurance Institute, London.Google Scholar
Christofides, S. (1998) Pricing for Risk in Financial Transactions. Presented in GISG/ASTIN Joint Meeting, Glasgow.Google Scholar
De Vylder, F. and Goovaerts, M. (1988) Recursive calculation of finite-time ruin probabilities. In Insurance: Mathematics and Economics 7: 1–7.Google Scholar
Silva, J.M. and Centeno, M.L. (1998) Comparing risk adjusted premiums from the reinsurer's point of view. ASTIN Bulletin 28: 221–239.CrossRefGoogle Scholar
Sundt, B. (1991) On excess of loss reinsurance with reinstatements. In Bulletin of the Swiss Association of Actuaries, no. 1.Google Scholar
Sundt, B. (1999) On multivariate Panjer recursions. ASTIN Bulletin 29: 29–46.CrossRefGoogle Scholar
Walhin, J.F. and Paris, J. (1999) Excess of loss reinsurance with reinstatements: Premium calculation and Ruin of the cedent. Preprint.Google Scholar
Wang, S. (1995) Insurance pricing and increased limits ratemaking by proportional hazard transforms. In Insurance: Mathematics and Economics 17: 43–54.Google Scholar
Wang, S. (1996) Premium calculation by transforming the layer premium density. ASTIN Bulletin 26: 71–92.CrossRefGoogle Scholar