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Actuarial Modelling of Claim Counts Risk Classification, Credibility ...

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306 <strong>Actuarial</strong> <strong>Modelling</strong> <strong>of</strong> <strong>Claim</strong> <strong>Counts</strong><br />

Table 8.8 Evolution <strong>of</strong> the expected financial income I n based on r l (influence <strong>of</strong><br />

the initial distribution).<br />

Age <strong>of</strong> policy Uniform Top Bottom<br />

distribution I n distribution I n distribution I n<br />

0 1465 % 2428% 684%<br />

1 1431 % 2258% 720%<br />

2 1401 % 2141% 753%<br />

3 1374 % 2055% 784%<br />

4 1349 % 1987% 812%<br />

5 1326 % 1932% 826%<br />

6 1304 % 1878% 837%<br />

7 1282 % 1828% 848%<br />

8 1261 % 1783% 860%<br />

9 1241 % 1740% 872%<br />

10 1222 % 1701% 880%<br />

11 1203 % 1663% 886%<br />

12 1186 % 1629% 892%<br />

13 1169 % 1589% 899%<br />

14 1153 % 1551% 906%<br />

15 1139 % 1521% 910%<br />

16 1125 % 1493% 914%<br />

17 1112 % 1468% 918%<br />

18 1099 % 1407% 922%<br />

19 1089 % 1383% 926%<br />

20 1079 % 1363% 929%<br />

21 1070 % 1345% 932%<br />

22 1061 % 1275% 935%<br />

23 1055 % 1243% 938%<br />

24 1050 % 1231% 942%<br />

25 1046 % 1220% 944%<br />

26 1041 % 1210% 947%<br />

27 1037 % 1176% 949%<br />

28 1034 % 1158% 952%<br />

29 1031 % 1150% 954%<br />

30 1028 % 1144% 957%<br />

31 1026 % 1137% 959%<br />

32 1023 % 1119% 960%<br />

33 1022 % 1108% 962%<br />

34 1020 % 1103% 965%<br />

35 1019 % 1099% 966%<br />

36 1017 % 1095% 968%<br />

37 1016 % 1084% 969%<br />

38 1015 % 1076% 971%<br />

39 1014 % 1073% 972%<br />

40 1013 % 1070% 974%<br />

41 1012 % 1067% 975%<br />

42 1011 % 1060% 976%<br />

43 1010 % 1055% 977%<br />

44 1009 % 1053% 978%<br />

45 1009 % 1051% 980%

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