##### 6. A special survival model has a select period of 3 years.-(Answered)

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6. A special survival model has a select period of 3 years. Functions for this model are denoted by an asterisk, ?. Functions without an asterisk are taken from the Australian Life Tables, 1995-97, Males (APRA (1999)). You are given that, for all values of x,p?[x] = 4px?5 , p?[x]+1 =3px?1 , p?[x]+2 =2px+2 , and p?x = px+1.A life table, tabulated at integer ages, is constructed on the basis of the special survival model and the value of l?25 is taken as 97 947 (i.e. l26 for Australian Life Tables, 1995-97, Males). Some lx values for this table are shown in Table 3.12.(i) Construct the l?[x], l?[x]+1 , l?[x]+2 , and l?x+3 columns for x = 20, 21, 22.(ii) Calculate 2|38q?[21]+1 , 40p?[22] , 40p?[21]+1 , 40p?[20]+2 , and 40p?22 .3.10. EXERCISES 103 Table 3.12: An extract from the Australian Life Tables, 1995-97, Males. Source: APRA(1999).Age x lx23 98 31324 98 19225 98 07026 97 947. . . . . .63 85 374

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