Table 4 Age weights for discrete time

β

0.04

Sum of Age Weights

100.000

Age (birth and future birthdays):

Age weight function:

a(x)

a(X) = C(x + 0.5)e^-β(X+0.5)

0

0.086

1

0.249

2

0.398

3

0.536

4

0.662

5

0.777

6

0.883

7

0.979

8

1.066

9

1.144

10

1.215

11

1.279

12

1.335

13

1.386

14

1.430

15

1.468

16

1.502

17

1.530

18

1.555

19

1.574

20

1.590

21

1.602

22

1.611

23

1.617

24

1.619

25

1.619

26

1.617

27

1.612

28

1.605

29

1.596

30

1.586

31

1.574

32

1.560

33

1.545

34

1.529

35

1.511

36

1.493

37

1.474

38

1.454

39

1.433

40

1.412

41

1.390

42

1.367

43

1.345

44

1.322

45

1.298

46

1.275

47

1.251

48

1.227

49

1.204

50

1.180

51

1.156

52

1.132

53

1.109

54

1.085

55

1.062

56

1.038

57

1.015

58

0.992

59

0.970

60

0.947

61

0.925

62

0.904

63

0.882

64

0.861

65

0.840

66

0.819

67

0.799

68

0.779

69

0.759

70

0.740

71

0.721

72

0.703

73

0.684

74

0.666

75

0.649

76

0.632

77

0.615

78

0.598

79

0.582

80

0.566

81

0.551

82

0.536

83

0.521

84

0.507

85

0.493

86

0.479

87

0.465

88

0.452

89

0.439

90

0.427

91

0.415

92

0.403

93

0.391

94

0.380

95

0.369

96

0.358

97

0.348

98

0.337

99

0.327