An Analysis of Reinsurance Optimisation in Life
This paper considers optimal reinsurance based on an assessment of the reinsurance arrangements for a large life insurer. The objective is to determine the reinsurance structure, based on actual insurer data, using a modified mean-variance criteria that maximises the retained premiums and minimizes the variance of retained claims while keeping the retained risk exposure constant, assuming a given level of risk appetite. The portfolio of life and disability policies use quota-share, surplus and a combination of both quota-share and surplus reinsurance. Alternative reinsurance arrangements are compared using the modified mean-variance criteria to assess the optimal reinsurance strategy. The analysis takes into account recent claims experience as well as actual premiums paid by insured lives and to the reinsurers. Optimal reinsurance cover depends on many factors including retention levels, premiums and the variance of sum insured values (and therefore claims), as a result an insurer should assess the tradeoff between retained premiums and the variance of retained claims based on its own experience and risk appetite.
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- J. David Cummins & Georges Dionne & Robert Gagné & Abdelhakim Nouira, 2008. "The Costs and Benefits of Reinsurance," Cahiers de recherche 08-04, HEC Montréal, Institut d'économie appliquée.
- Krvavych, Yuriy & Sherris, Michael, 2006. "Enhancing insurer value through reinsurance optimization," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 495-517, June.
- Prakash Shimpi, 2002. "Integrating Risk Management And Capital Management," Journal of Applied Corporate Finance, Morgan Stanley, vol. 14(4), pages 27-40.
- Verlaak, Robert & Beirlant, Jan, 2003. "Optimal reinsurance programs: An optimal combination of several reinsurance protections on a heterogeneous insurance portfolio," Insurance: Mathematics and Economics, Elsevier, vol. 33(2), pages 381-403, October.
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