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http://dx.doi.org/10.5351/CSAM.2014.21.1.023

Analysis of Reserves in Multiple Life Insurance using Copula  

Lee, Issac (Department of Actuarial Science, Sungkyunkwan University)
Lee, Hangsuck (Department of Actuarial Science/Mathematics,Sungkyunkwan University)
Kim, Hyun Tae (Department of Applied Statistics, Yonsei University)
Publication Information
Communications for Statistical Applications and Methods / v.21, no.1, 2014 , pp. 23-43 More about this Journal
Abstract
We study the dependence between the insureds in multiple-life insurance contracts. With the future lifetimes of the insureds modeled as correlated random variables, both premium and reserve are different from those under independence. In this paper, Gaussian copula is used to impose the dependence between the insureds with Gompertz marginals. We analyze the change of the reserves of standard multiple-life insurance contracts at various dependence levels. We find that the reserves based on the assumption of dependent lifetimes are quite different for some contracts from those under independence as its correlation increase, which elucidate the importance of the dependence model in multiple-life contingencies in both theory and practice.
Keywords
Gaussian copula; reserves analysis; multiple life insurance; joint life survival function;
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Times Cited By KSCI : 1  (Citation Analysis)
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