書目名稱 | Life Insurance Theory | 副標(biāo)題 | Actuarial Perspectiv | 編輯 | F. Etienne Vylder | 視頻video | http://file.papertrans.cn/586/585825/585825.mp4 | 圖書封面 |  | 描述 | This book is different from all other books on Life Insurance by at least one of the following characteristics 1-4. 1. The treatment of life insurances at three different levels: time-capital, present value and price level. We call time-capital any distribution of a capital over time: (*) is the time-capital with amounts Cl, ~, ... , C at moments Tl, T , ..? , T resp. N 2 N For instance, let (x) be a life at instant 0 with future lifetime X. Then the whole oO oO life insurance A is the time-capital (I,X). The whole life annuity ? is the x x time-capital (1,0) + (1,1) + (1,2) + ... + (I,‘X), where ‘X is the integer part ofX. The present value at 0 of time-capital (*) is the random variable T1 T TN Cl V + ~ v , + ... + CNV . (**) In particular, the present value ofA 00 and ? 00 is x x 0 0 2 A = ~ and ? = 1 + v + v + ... + v‘X resp. x x The price (or premium) of a time-capital is the expectation of its present value. In particular, the price ofA 00 and ?x 00 is x 2 A = E(~) and ? = E(I + v + v + ... + v‘X) resp. | 出版日期 | Book 1997 | 關(guān)鍵詞 | development; differential equation; evaluation; insurance; mathematics; population; portfolio; probability; | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4757-2616-9 | isbn_softcover | 978-1-4419-5189-2 | isbn_ebook | 978-1-4757-2616-9 | copyright | Springer Science+Business Media Dordrecht 1997 |
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