ACTUARIAL TABLES BASED ON THE U.S. LIFE TABLES: 1989-91
Actuarial Study No. 113
by : Felicitie C. Bell and Alice H. Wade, A.S.A.
Table 12.K.-Actuarial Functions at 11.0 Percent Interest for 1989-91 United States Black Females
x
D
x
N
x
M
x
a
x
x
D
x
N
x
M
x
a
x
0
.........
100,000.000
988,641.96
2,026.472
8.8864
55
.........
279.075
2,396.21
41.613
7.5862
1
.........
88,609.009
888,641.96
545.391
9.0288
56
.........
248.960
2,117.13
39.154
7.5039
2
.........
79,737.034
800,032.95
454.489
9.0334
57
.........
221.923
1,868.17
36.789
7.4181
3
.........
71,785.445
720,295.92
404.768
9.0340
58
.........
197.646
1,646.25
34.504
7.3293
4
.........
64,638.636
648,510.47
371.832
9.0329
59
.........
175.840
1,448.60
32.284
7.2382
5
.........
58,209.860
583,871.84
348.687
9.0305
60
.........
156.254
1,272.76
30.124
7.1455
6
.........
52,421.534
525,661.98
328.906
9.0276
61
.........
138.684
1,116.51
28.039
7.0507
7
.........
47,211.676
473,240.44
313.974
9.0238
62
.........
122.938
977.83
26.036
6.9538
8
.........
42,521.325
426,028.77
302.258
9.0192
63
.........
108.844
854.89
24.125
6.8543
9
.........
38,298.118
383,507.44
292.876
9.0137
64
.........
96.235
746.04
22.302
6.7523
10
.........
34,495.061
345,209.33
285.128
9.0075
65
.........
84.966
649.81
20.571
6.6478
11
.........
31,069.969
310,714.26
278.465
9.0005
66
.........
74.906
564.84
18.930
6.5407
12
.........
27,984.388
279,644.30
271.891
8.9929
67
.........
65.938
489.94
17.385
6.4303
13
.........
25,204.980
251,659.91
265.710
8.9845
68
.........
57.952
424.00
15.934
6.3164
14
.........
22,700.694
226,454.93
259.214
8.9757
69
.........
50.851
366.05
14.576
6.1984
15
.........
20,444.387
203,754.23
252.526
8.9663
70
.........
44.541
315.20
13.305
6.0765
16
.........
18,411.212
183,309.85
245.371
8.9564
71
.........
38.937
270.66
12.116
5.9510
17
.........
16,579.213
164,898.63
237.907
8.9461
72
.........
33.964
231.72
11.001
5.8225
18
.........
14,928.587
148,319.42
230.266
8.9353
73
.........
29.554
197.75
9.957
5.6912
19
.........
13,441.330
133,390.83
222.419
8.9239
74
.........
25.652
168.20
8.984
5.5570
20
.........
12,101.492
119,949.50
214.604
8.9120
75
.........
22.208
142.55
8.082
5.4188
21
.........
10,894.423
107,848.01
206.782
8.8994
76
.........
19.176
120.34
7.251
5.2754
22
.........
9,807.044
96,953.59
199.031
8.8861
77
.........
16.514
101.16
6.489
5.1260
23
.........
8,827.375
87,146.54
191.231
8.8723
78
.........
14.177
84.65
5.789
4.9708
24
.........
7,944.992
78,319.17
183.633
8.8577
79
.........
12.126
70.47
5.142
4.8116
25
.........
7,150.290
70,374.18
176.272
8.8421
80
.........
10.324
58.35
4.542
4.6513
26
.........
6,434.540
63,223.89
169.110
8.8257
81
.........
8.742
48.02
3.984
4.4929
27
.........
5,790.073
56,789.35
162.300
8.8081
82
.........
7.358
39.28
3.465
4.3385
28
.........
5,209.662
50,999.27
155.680
8.7894
83
.........
6.153
31.92
2.989
4.1882
29
.........
4,686.891
45,789.61
149.182
8.7697
84
.........
5.114
25.77
2.560
4.0391
30
.........
4,216.003
41,102.72
142.761
8.7492
85
.........
4.226
20.65
2.179
3.8873
31
.........
3,791.944
36,886.72
136.503
8.7277
86
.........
3.472
16.43
1.844
3.7311
32
.........
3,410.103
33,094.77
130.441
8.7049
87
.........
2.833
12.96
1.549
3.5726
33
.........
3,066.288
29,684.67
124.564
8.6810
88
.........
2.294
10.12
1.291
3.4126
34
.........
2,756.810
26,618.38
118.953
8.6555
89
.........
1.841
7.83
1.065
3.2530
35
.........
2,478.273
23,861.57
113.612
8.6283
90
.........
1.462
5.99
0.868
3.0966
36
.........
2,227.563
21,383.30
108.498
8.5994
91
.........
1.146
4.53
0.698
2.9483
37
.........
2,001.933
19,155.74
103.616
8.5686
92
.........
0.887
3.38
0.552
2.8114
38
.........
1,798.880
17,153.80
98.953
8.5358
93
.........
0.677
2.49
0.429
2.6851
39
.........
1,616.156
15,354.92
94.496
8.5009
94
.........
0.510
1.82
0.330
2.5624
40
.........
1,451.734
13,738.77
90.235
8.4637
95
.........
0.380
1.31
0.251
2.4362
41
.........
1,303.780
12,287.03
86.146
8.4242
96
.........
0.280
0.93
0.188
2.3077
42
.........
1,170.631
10,983.25
82.201
8.3823
97
.........
0.203
0.65
0.139
2.1842
43
.........
1,050.843
9,812.62
78.421
8.3379
95
.........
0.145
0.44
0.101
2.0669
44
.........
943.077
8,761.78
74.793
8.2906
99
.........
0.101
0.30
0.071
1.9570
45
.........
846.122
7,818.70
71.296
8.2406
100
.........
0.069
0.20
0.050
1.8492
46
.........
758.900
6,972.58
67.924
8.1877
101
.........
0.047
0.13
0.034
1.7435
47
.........
680.426
6,213.68
64.656
8.1320
102
.........
0.031
0.08
0.023
1.6401
48
.........
609.812
5,533.25
61.472
8.0737
103
.........
0.020
0.05
0.015
1.5390
49
.........
546.283
4,923.44
58.374
8.0126
104
.........
0.013
0.03
0.010
1.4402
50
.........
489.134
4,377.16
55.362
7.9488
105
.........
0.008
0.02
0.006
1.3438
51
.........
437.733
3,888.02
52.433
7.8822
106
.........
0.005
0.01
0.004
1.2498
52
.........
391.509
3,450.29
49.588
7.8128
107
.........
0.003
0.01
0.002
1.1583
53
.........
349.957
3,058.78
46.835
7.7404
108
.........
0.001
0.00
0.001
1.0693
54
.........
312.618
2,708.82
44.176
7.6650
109
.........
0.001
0.00
0.001
0.9829