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On the optimal design of insurance contracts with guarantees

Nicole Branger, Antje Mahayni and Judith C. Schneider

Insurance: Mathematics and Economics, 2010, vol. 46, issue 3, 485-492

Abstract: The paper analyzes insurance contracts where the benefits of the insured depend on the performance of an investment strategy and which guarantee a certain interest rate on the contributions made by the insured. The insured has to decide simultaneously on the investment strategy and the guarantee scheme. For a CRRA insured and in a BS economy, the optimal combination is given by a constant mix strategy and the contribution guarantee scheme. In case the insured has a subsistence level, the CPPI strategy turns out to be optimal for arbitrary schemes. We illustrate our results by numerical examples and analyze the utility losses of a CRRA insured due to the use of a suboptimal combination of investment strategy and guarantee scheme.

Keywords: Interest; rate; guarantee; Optimal; portfolio; choice; Utility; loss; Guarantee; scheme; CPPI (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (15)

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Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu

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