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A joint valuation of premium payment and surrender options in participating life insurance contracts

H. Schmeiser and J. Wagner

Insurance: Mathematics and Economics, 2011, vol. 49, issue 3, 580-596

Abstract: In addition to an interest rate guarantee and annual surplus participation, life insurance contracts typically embed the right to stop premium payments during the term of the contract (paid-up option), to resume payments later (resumption option), or to terminate the contract early (surrender option). Terminal guarantees are on benefits payable upon death, survival and surrender. The latter are adapted after exercising the options. A model framework including these features and an algorithm to jointly value the premium payment and surrender options is presented. In a first step, the standard principles of risk-neutral evaluation are applied and the policyholder is assumed to use an economically rational exercise strategy. In a second step, option value sensitivity on different contract parameters, benefit adaptation mechanisms, and exercise behavior is analyzed numerically. The two latter are the main drivers for the option value.

Keywords: Participating life insurance contracts; Embedded options; Paid-up and resumption; Surrender; Monte Carlo method; Optimal stopping problem (search for similar items in EconPapers)
JEL-codes: G13 G22 G23 (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:49:y:2011:i:3:p:580-596

DOI: 10.1016/j.insmatheco.2011.08.004

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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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