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Article Dans Une Revue Methodology and Computing in Applied Probability Année : 2019

A Model-Point Approach to Indifference Pricing of Life Insurance Portfolios with Dependent Lives

Résumé

In this paper, we study the pricing of life insurance portfolios in the presence of dependent lives. We assume that an insurer with an initial exposure to n mortality-contingent contracts wanted to acquire a second portfolio constituted of m individuals. The policyhold-ers' lifetimes in these portfolios are correlated with a Farlie-Gumbel-Morgenstern (FGM) copula, which induces a dependency between the two portfolios. In this setting, we compute the indifference price charged by the insurer endowed with an exponential utility. The optimal price is characterized as a solution to a backward differential equation (BSDE). The latter can be decomposed into (n − 1)n! auxiliary BSDEs. In this general case, the derivation of the indifference price is computationally infeasible. Therefore, while focusing on the example of death benefit contracts, we develop a model point based approach in order to ease the computation of the price. It consists on replacing each portfolio with a single policyholder that replicates some risk metrics of interest. Also, the two representative agents should adequately reproduce the observed dependency between the initial portfolios.
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Dates et versions

hal-01258645 , version 1 (19-01-2016)

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Christophette Blanchet-Scalliet, Diana Dorobantu, Yahia Salhi. A Model-Point Approach to Indifference Pricing of Life Insurance Portfolios with Dependent Lives. Methodology and Computing in Applied Probability, 2019, 21 (423-448), ⟨10.1007/s11009-017-9611-2⟩. ⟨hal-01258645⟩
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