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• W2103752652 abstract "Abstract This paper gives analytic approximations for the distribution of a stochastic life annuity. It is assumed that returns follow a geometric Brownian motion. The distribution of the stochastic annuity may be used to answer questions such as “What is the probability that an amount F is sufficient to fund a pension with annual amount y to a pensioner aged x?” The main idea is to approximate the future lifetime distribution with a combination of exponentials, and then apply a known formula (due to Marc Yor) related to the integral of geometric Brownian motion. The approximations are very accurate in the cases studied." @default.
• W2103752652 created "2016-06-24" @default.
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• W2103752652 date "2007-01-01" @default.
• W2103752652 modified "2023-10-16" @default.
• W2103752652 title "Stochastic Life Annuities" @default.
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• W2103752652 doi "https://doi.org/10.1080/10920277.2007.10597441" @default.
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