By F. Etienne De Vylder
This booklet isn't the same as all different books on existence coverage by means of at the very least one of many following features 1-4. 1. The remedy of lifestyles insurances at 3 various degrees: time-capital, current price and value point. We name time-capital any distribution of a capital through the years: (*) is the time-capital with quantities Cl, ~, ... , C at moments Tl, T , ..• , T resp. N 2 N for example, enable (x) be a lifestyles at quick zero with destiny lifetime X. Then the full oO oO lifestyles assurance A is the time-capital (I,X). the full lifestyles annuity ä is the x x time-capital (1,0) + (1,1) + (1,2) + ... + (I,'X), the place 'X is the integer half ofX. the current price at zero of time-capital (*) is the random variable T1 T TN Cl V + ~ v , + ... + CNV . (**) specifically, the current worth ofA 00 and ä 00 is x x zero zero 2 A = ~ and ä = 1 + v + v + ... + v'X resp. x x the cost (or top class) of a time-capital is the expectancy of its current price. specifically, the fee ofA 00 and äx 00 is x 2 A = E(~) and ä = E(I + v + v + ... + v'X) resp.