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Life Insurance Theory : Actuarial Perspectives / by F. Etienne De Vylder
版 | 1st ed. 1997. |
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出版者 | New York, NY : Springer US : Imprint: Springer |
出版年 | 1997 |
大きさ | XVI, 184 p : online resource |
著者標目 | *De Vylder, F. Etienne author SpringerLink (Online service) |
件 名 | LCSH:Actuarial science LCSH:Business LCSH:Management science LCSH:Finance LCSH:Econometrics FREE:Actuarial Mathematics FREE:Business and Management FREE:Financial Economics FREE:Quantitative Economics |
一般注記 | 1. Financial Models -- 2. Mortality Models -- 3. Construction of Life Tables -- 4. Basic Concepts of Life Insurance Mathematics -- 5. Life Annuities (One Life) -- 6. Life Insurances (One Life) -- 7. Relations Between Life Annuities and Life Insurances (One Life) -- 8. Decompositions of Time-Capitals (One Life) -- 9. Life Insurance Contracts (One Life) -- 10. Ruin Probability of a Life Insurance Company -- 11. Insurances on a Status (Several Lives) -- 12. Decomposition of Time-Capitals (Several Lives) -- 13. Life Insurance Contracts (Several Lives) -- 14. Multiple Decrement Models -- 15. Variances (Several Lives) -- 16. Population Groups on a Graph -- Appendix A. Summation by Parts -- Appendix B. Linear Interpolations -- Appendix C. Probability Theory -- Appendix D. A Differential Equation -- Appendix E. Inversion of a Power Series -- Appendix F. Summary of Formulas -- References -- Notation Index 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 ä 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 ä 00 is x x 0 0 2 A = ~ and ä = 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 äx 00 is x 2 A = E(~) and ä = E(I + v + v + ... + v'X) resp HTTP:URL=https://doi.org/10.1007/978-1-4757-2616-9 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9781475726169 |
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EB00204586 |
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データ種別 | 電子ブック |
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分 類 | LCC:HG8779-8793 DC23:368.01 |
書誌ID | 4000106843 |
ISBN | 9781475726169 |
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