Section of a common select mortality table for assured lives
Age (x) Alive (Ix) Expected deaths (dx) Mortality rate (qx)
X 30 50 000 150 (a)
X+1 31 49850 (b) 0.0030692076
X+2 32 (c) 156 0.0031390225
X+3 33 49541 160 0.0032296482
X+4 34 49381 162 0.003280614

Questions:
i)Showing your calculations, complete the table for the following missing values (a), (b) and (c).

ii)Calculate the three year level premium using the table above if a hypothetical sum assured of R150 000 is assumed. The policyholder purchases the policy at age x (i.e. 30 years old) [i= 10% p.a]