TY - BOOK ID - 89346 TI - Life insurance theory : actuarial perspectives. PY - 1997 SN - 0792399951 144195189X 1475726163 9780792399957 PB - Boston Kluwer DB - UniCat KW - Actuarial mathematics KW - Life insurance KW - Assurance-vie KW - Mathematics KW - Mathématiques KW - Insurance, life KW - Mathematics. KW - 368.30 KW - Insurance, Life KW - -10.03.a KW - Insurance KW - Viatical settlements KW - Levensverzekering KW - Actuariaat ; Algemeen KW - 368.30 Levensverzekering KW - Mathématiques KW - 10.03.a KW - Actuarial science. KW - Business. KW - Management science. KW - Finance. KW - Economic theory. KW - Actuarial Sciences. KW - Business and Management, general. KW - Finance, general. KW - Economic Theory/Quantitative Economics/Mathematical Methods. KW - Economic theory KW - Political economy KW - Social sciences KW - Economic man KW - Funding KW - Funds KW - Economics KW - Currency question KW - Quantitative business analysis KW - Management KW - Problem solving KW - Operations research KW - Statistical decision KW - Trade KW - Commerce KW - Industrial management KW - Statistics KW - Insurance, life - Mathematics. UR - https://www.unicat.be/uniCat?func=search&query=sysid:89346 AB - 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. ER -