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.

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Table 10.I.-Actuarial Functions at 9.0 Percent Interest for 1989-91 United States Total Black Population
x
Dx
Nx
Mx
ax
 
x
Dx
Nx
Mx
ax
0
.........
100,000.000
1,176,091.73
2,891.509
10.7609
 
55
.........
704.801
6,602.47
159.642
8.3679
1
.........
90,079.817
1,076,091.73
1,228.206
10.9460
 
56
.........
637.657
5,897.67
150.693
8.2490
2
.........
82,539.349
986,011.91
1,125.521
10.9460
 
57
.........
576.303
5,260.02
141.990
8.1272
3
.........
75,665.487
903,472.56
1,066.835
10.9404
 
58
.........
520.241
4,683.71
133.513
8.0030
4
.........
69,376.789
827,807.07
1,025.747
10.9320
 
59
.........
469.032
4,163.47
125.259
7.8767
5
.........
63,617.884
758,430.28
995.200
10.9217
 
60
.........
422.283
3,694.44
117.237
7.7487
6
.........
58,340.584
694,812.40
970.753
10.9096
 
61
.........
379.660
3,272.16
109.482
7.6186
7
.........
53,503.231
636,471.82
950.513
10.8960
 
62
.........
340.858
2,892.50
102.028
7.4859
8
.........
49,068.972
582,968.58
933.951
10.8806
 
63
.........
305.555
2,551.64
94.869
7.3508
9
.........
45,004.513
533,899.61
921.059
10.8632
 
64
.........
273.436
2,246.08
87.979
7.2143
10
.........
41,277.984
488,895.10
910.499
10.8440
 
65
.........
244.250
1,972.65
81.370
7.0764
11
.........
37,861.572
447,617.12
902.361
10.8225
 
66
.........
217.755
1,728.40
75.043
6.9374
12
.........
34,727.565
409,755.54
894.539
10.7991
 
67
.........
193.756
1,510.64
69.024
6.7966
13
.........
31,850.366
375,027.98
884.753
10.7747
 
68
.........
172.064
1,316.89
63.330
6.6535
14
.........
29,207.353
343,177.61
871.587
10.7497
 
69
.........
152.487
1,144.82
57.960
6.5077
15
.........
26,778.166
313,970.26
854.016
10.7249
 
70
.........
134.840
992.34
52.904
6.3594
16
.........
24,545.464
287,192.09
832.355
10.7004
 
71
.........
118.940
857.50
48.138
6.2095
17
.........
22,493.818
262,646.63
807.399
10.6764
 
72
.........
104.628
738.56
43.646
6.0589
18
.........
20,610.031
240,152.81
780.900
10.6522
 
73
.........
91.768
633.93
39.425
5.9080
19
.........
18,880.863
219,542.78
753.477
10.6278
 
74
.........
80.253
542.16
35.488
5.7556
20
.........
17,294.414
200,661.92
725.999
10.6027
 
75
.........
69.982
461.91
31.843
5.6003
21
.........
15,839.097
183,367.50
698.661
10.5769
 
76
.........
60.854
391.93
28.494
5.4404
22
.........
14,503.949
167,528.41
671.328
10.5505
 
77
.........
52.762
331.07
25.426
5.2748
23
.........
13,279.783
153,024.46
644.736
10.5231
 
78
.........
45.592
278.31
22.613
5.1043
24
.........
12,157.754
139,744.67
619.203
10.4943
 
79
.........
39.237
232.72
20.022
4.9311
25
.........
11,129.665
127,586.92
594.965
10.4637
 
80
.........
33.601
193.48
17.625
4.7582
26
.........
10,188.040
116,457.25
572.304
10.4308
 
81
.........
28.601
159.88
15.400
4.5899
27
.........
9,325.352
106,269.21
550.830
10.3957
 
82
.........
24.183
131.28
13.344
4.4284
28
.........
8,534.862
96,943.86
530.323
10.3586
 
83
.........
20.307
107.09
11.465
4.2737
29
.........
7,810.268
88,409.00
510.442
10.3196
 
84
.........
16.946
86.79
9.780
4.1214
30
.........
7,145.862
80,598.73
490.921
10.2791
 
85
.........
14.067
69.84
8.300
3.9650
31
.........
6,536.752
73,452.87
471.836
10.2369
 
86
.........
11.613
55.77
7.008
3.8028
32
.........
5,978.496
66,916.12
453.312
10.1928
 
87
.........
9.525
44.16
5.879
3.6363
33
.........
5,466.875
60,937.62
435.328
10.1467
 
88
.........
7.753
34.64
4.893
3.4674
34
.........
4,998.021
55,470.75
417.868
10.0985
 
89
.........
6.253
26.88
4.033
3.2993
35
.........
4,568.441
50,472.73
400.968
10.0481
 
90
.........
4.986
20.63
3.283
3.1373
36
.........
4,174.871
45,904.29
384.609
9.9954
 
91
.........
3.925
15.64
2.633
2.9857
37
.........
3,814.242
41,729.41
368.694
9.9404
 
92
.........
3.045
11.72
2.077
2.8487
38
.........
3,483.985
37,915.17
353.375
9.8827
 
93
.........
2.329
8.67
1.612
2.7250
39
.........
3,181.603
34,431.19
338.661
9.8220
 
94
.........
1.759
6.35
1.235
2.6068
40
.........
2,904.829
31,249.58
324.588
9.7578
 
95
.........
1.316
4.59
0.937
2.4849
41
.........
2,651.486
28,344.75
311.094
9.6901
 
96
.........
0.973
3.27
0.703
2.3599
42
.........
2,419.613
25,693.27
298.151
9.6187
 
97
.........
0.709
2.30
0.519
2.2392
43
.........
2,207.340
23,273.66
285.662
9.5438
 
95
.........
0.509
1.59
0.377
2.1220
44
.........
2,013.061
21,066.32
273.640
9.4648
 
99
.........
0.359
1.08
0.270
2.0072
45
.........
1,835.174
19,053.25
261.970
9.3823
 
100
.........
0.249
0.72
0.189
1.8950
46
.........
1,672.313
17,218.08
250.637
9.2960
 
101
.........
0.169
0.47
0.130
1.7854
47
.........
1,523.155
15,545.77
239.560
9.2063
 
102
.........
0.113
0.30
0.088
1.6785
48
.........
1,386.541
14,022.61
228.711
9.1134
 
103
.........
0.074
0.19
0.058
1.5741
49
.........
1,261.458
12,636.07
218.112
9.0170
 
104
.........
0.047
0.12
0.037
1.4725
50
.........
1,146.959
11,374.61
207.770
8.9172
 
105
.........
0.029
0.07
0.023
1.3736
51
.........
1,042.163
10,227.65
197.678
8.8139
 
106
.........
0.018
0.04
0.014
1.2775
52
.........
946.265
9,185.49
187.830
8.7071
 
107
.........
0.010
0.02
0.008
1.1841
53
.........
858.517
8,239.23
178.214
8.5970
 
108
.........
0.006
0.01
0.005
1.0935
54
.........
778.236
7,380.71
168.820
8.4839
 
109
.........
0.003
0.01
0.003
1.0056


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