Social Security |
|||||
ACTUARIAL STUDY NO. 118
by Tim Zayatz, A.S.A. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
33.936
|
30.517
|
27.622
|
25.154
|
23.038
|
21.211
|
19.626
|
18.241
|
17.025
|
15.953
|
15.001
|
14.153
|
13.394
|
12.711
|
12.095
|
11.537
|
11.029
|
17
|
33.246
|
29.941
|
27.136
|
24.741
|
22.683
|
20.904
|
19.357
|
18.004
|
16.814
|
15.763
|
14.830
|
13.997
|
13.251
|
12.580
|
11.974
|
11.424
|
10.923
|
18
|
32.519
|
29.332
|
26.622
|
24.303
|
22.305
|
20.576
|
19.069
|
17.750
|
16.588
|
15.561
|
14.647
|
13.831
|
13.100
|
12.441
|
11.845
|
11.304
|
10.812
|
19
|
31.857
|
28.780
|
26.158
|
23.910
|
21.970
|
20.286
|
18.818
|
17.530
|
16.394
|
15.388
|
14.493
|
13.693
|
12.974
|
12.326
|
11.740
|
11.208
|
10.723
|
20
|
31.308
|
28.329
|
25.783
|
23.596
|
21.705
|
20.062
|
18.626
|
17.364
|
16.251
|
15.263
|
14.382
|
13.594
|
12.886
|
12.248
|
11.669
|
11.143
|
10.664
|
21
|
30.813
|
27.927
|
25.455
|
23.326
|
21.483
|
19.877
|
18.472
|
17.235
|
16.142
|
15.171
|
14.305
|
13.528
|
12.830
|
12.199
|
11.628
|
11.108
|
10.633
|
22
|
30.270
|
27.478
|
25.082
|
23.014
|
21.219
|
19.654
|
18.281
|
17.071
|
16.000
|
15.047
|
14.196
|
13.432
|
12.745
|
12.124
|
11.560
|
11.046
|
10.578
|
23
|
29.510
|
26.831
|
24.528
|
22.536
|
20.803
|
19.289
|
17.959
|
16.785
|
15.745
|
14.817
|
13.988
|
13.244
|
12.573
|
11.965
|
11.414
|
10.911
|
10.452
|
24
|
28.768
|
26.202
|
23.989
|
22.071
|
20.400
|
18.937
|
17.649
|
16.511
|
15.500
|
14.599
|
13.791
|
13.065
|
12.410
|
11.817
|
11.278
|
10.786
|
10.336
|
25
|
27.897
|
25.452
|
23.340
|
21.505
|
19.903
|
18.497
|
17.258
|
16.162
|
15.186
|
14.315
|
13.533
|
12.830
|
12.194
|
11.618
|
11.094
|
10.616
|
10.178
|
26
|
26.973
|
24.653
|
22.644
|
20.896
|
19.366
|
18.021
|
16.834
|
15.781
|
14.843
|
14.004
|
13.250
|
12.571
|
11.957
|
11.399
|
10.892
|
10.428
|
10.003
|
27
|
26.245
|
24.029
|
22.104
|
20.426
|
18.955
|
17.659
|
16.513
|
15.495
|
14.587
|
13.773
|
13.042
|
12.382
|
11.784
|
11.241
|
10.746
|
10.293
|
9.878
|
28
|
25.539
|
23.422
|
21.581
|
19.971
|
18.557
|
17.310
|
16.204
|
15.221
|
14.342
|
13.553
|
12.844
|
12.202
|
11.621
|
11.092
|
10.609
|
10.167
|
9.762
|
29
|
24.904
|
22.877
|
21.110
|
19.562
|
18.200
|
16.996
|
15.927
|
14.974
|
14.121
|
13.356
|
12.665
|
12.041
|
11.474
|
10.957
|
10.486
|
10.054
|
9.657
|
30
|
24.281
|
22.341
|
20.647
|
19.159
|
17.847
|
16.685
|
15.652
|
14.729
|
13.903
|
13.159
|
12.488
|
11.880
|
11.327
|
10.823
|
10.362
|
9.940
|
9.552
|
31
|
23.691
|
21.834
|
20.208
|
18.777
|
17.512
|
16.391
|
15.391
|
14.498
|
13.696
|
12.973
|
12.320
|
11.728
|
11.189
|
10.697
|
10.247
|
9.833
|
9.453
|
32
|
23.233
|
21.445
|
19.876
|
18.492
|
17.267
|
16.179
|
15.207
|
14.337
|
13.555
|
12.849
|
12.210
|
11.630
|
11.102
|
10.619
|
10.177
|
9.771
|
9.396
|
33
|
22.790
|
21.069
|
19.555
|
18.218
|
17.031
|
15.975
|
15.030
|
14.183
|
13.420
|
12.731
|
12.106
|
11.538
|
11.020
|
10.547
|
10.112
|
9.712
|
9.344
|
34
|
22.358
|
20.701
|
19.240
|
17.947
|
16.798
|
15.772
|
14.854
|
14.029
|
13.285
|
12.612
|
12.001
|
11.444
|
10.937
|
10.472
|
10.045
|
9.652
|
9.289
|
35
|
21.806
|
20.222
|
18.823
|
17.582
|
16.477
|
15.489
|
14.602
|
13.805
|
13.084
|
12.432
|
11.838
|
11.298
|
10.803
|
10.350
|
9.934
|
9.550
|
9.195
|
36
|
21.457
|
19.929
|
18.576
|
17.374
|
16.301
|
15.340
|
14.476
|
13.697
|
12.993
|
12.354
|
11.773
|
11.242
|
10.756
|
10.310
|
9.900
|
9.522
|
9.172
|
37
|
20.922
|
19.463
|
18.168
|
17.014
|
15.983
|
15.058
|
14.225
|
13.473
|
12.792
|
12.173
|
11.608
|
11.093
|
10.620
|
10.186
|
9.786
|
9.417
|
9.075
|
38
|
20.479
|
19.078
|
17.832
|
16.720
|
15.725
|
14.830
|
14.023
|
13.293
|
12.630
|
12.027
|
11.477
|
10.974
|
10.512
|
10.088
|
9.696
|
9.334
|
8.999
|
39
|
19.969
|
18.633
|
17.441
|
16.375
|
15.419
|
14.558
|
13.780
|
13.075
|
12.435
|
11.851
|
11.318
|
10.829
|
10.381
|
9.967
|
9.586
|
9.233
|
8.905
|
40
|
19.444
|
18.170
|
17.033
|
16.014
|
15.097
|
14.270
|
13.522
|
12.843
|
12.225
|
11.661
|
11.145
|
10.672
|
10.236
|
9.835
|
9.464
|
9.120
|
8.801
|
41
|
19.006
|
17.787
|
16.697
|
15.718
|
14.836
|
14.038
|
13.316
|
12.659
|
12.060
|
11.513
|
11.011
|
10.550
|
10.126
|
9.734
|
9.372
|
9.036
|
8.724
|
42
|
18.517
|
17.356
|
16.314
|
15.377
|
14.531
|
13.765
|
13.069
|
12.436
|
11.858
|
11.329
|
10.843
|
10.397
|
9.985
|
9.604
|
9.252
|
8.925
|
8.621
|
43
|
17.971
|
16.869
|
15.878
|
14.985
|
14.178
|
13.445
|
12.779
|
12.171
|
11.616
|
11.107
|
10.639
|
10.208
|
9.810
|
9.442
|
9.101
|
8.784
|
8.489
|
44
|
17.497
|
16.449
|
15.504
|
14.651
|
13.878
|
13.175
|
12.535
|
11.951
|
11.415
|
10.924
|
10.472
|
10.055
|
9.669
|
9.312
|
8.981
|
8.672
|
8.385
|
45
|
17.090
|
16.089
|
15.185
|
14.367
|
13.625
|
12.949
|
12.332
|
11.767
|
11.250
|
10.774
|
10.336
|
9.931
|
9.556
|
9.208
|
8.886
|
8.585
|
8.305
|
46
|
16.578
|
15.631
|
14.774
|
13.996
|
13.289
|
12.644
|
12.055
|
11.515
|
11.019
|
10.562
|
10.141
|
9.751
|
9.390
|
9.054
|
8.742
|
8.452
|
8.180
|
47
|
16.157
|
15.255
|
14.438
|
13.695
|
13.019
|
12.401
|
11.835
|
11.315
|
10.837
|
10.397
|
9.990
|
9.613
|
9.263
|
8.938
|
8.635
|
8.352
|
8.088
|
48
|
15.609
|
14.759
|
13.988
|
13.286
|
12.645
|
12.058
|
11.520
|
11.025
|
10.570
|
10.149
|
9.759
|
9.398
|
9.063
|
8.751
|
8.460
|
8.188
|
7.934
|
49
|
15.378
|
14.560
|
13.815
|
13.135
|
12.514
|
11.944
|
11.421
|
10.939
|
10.494
|
10.083
|
9.702
|
9.349
|
9.020
|
8.713
|
8.427
|
8.160
|
7.910
|
50
|
15.425
|
14.620
|
13.886
|
13.215
|
12.601
|
12.037
|
11.518
|
11.039
|
10.597
|
10.188
|
9.808
|
9.455
|
9.126
|
8.819
|
8.533
|
8.265
|
8.013
|
51
|
14.646
|
13.904
|
13.226
|
12.606
|
12.036
|
11.512
|
11.030
|
10.584
|
10.171
|
9.788
|
9.433
|
9.102
|
8.793
|
8.505
|
8.236
|
7.983
|
7.746
|
52
|
14.147
|
13.450
|
12.812
|
12.226
|
11.688
|
11.192
|
10.734
|
10.311
|
9.918
|
9.553
|
9.214
|
8.898
|
8.603
|
8.327
|
8.068
|
7.826
|
7.598
|
53
|
13.720
|
13.061
|
12.457
|
11.902
|
11.391
|
10.919
|
10.482
|
10.078
|
9.702
|
9.353
|
9.028
|
8.724
|
8.441
|
8.175
|
7.926
|
7.692
|
7.473
|
54
|
13.498
|
12.864
|
12.281
|
11.745
|
11.250
|
10.793
|
10.369
|
9.976
|
9.611
|
9.270
|
8.953
|
8.657
|
8.379
|
8.119
|
7.875
|
7.646
|
7.430
|
55
|
13.622
|
12.993
|
12.415
|
11.882
|
11.389
|
10.932
|
10.509
|
10.116
|
9.750
|
9.409
|
9.090
|
8.793
|
8.513
|
8.252
|
8.006
|
7.774
|
7.557
|
56
|
12.948
|
12.369
|
11.836
|
11.343
|
10.887
|
10.464
|
10.071
|
9.705
|
9.364
|
9.046
|
8.748
|
8.469
|
8.208
|
7.962
|
7.731
|
7.514
|
7.309
|
57
|
12.579
|
12.032
|
11.527
|
11.060
|
10.626
|
10.224
|
9.849
|
9.500
|
9.174
|
8.869
|
8.584
|
8.316
|
8.065
|
7.828
|
7.606
|
7.396
|
7.198
|
58
|
12.206
|
11.690
|
11.212
|
10.769
|
10.358
|
9.975
|
9.619
|
9.286
|
8.975
|
8.683
|
8.410
|
8.154
|
7.912
|
7.685
|
7.471
|
7.269
|
7.079
|
59
|
11.847
|
11.360
|
10.908
|
10.489
|
10.099
|
9.735
|
9.395
|
9.078
|
8.781
|
8.503
|
8.241
|
7.995
|
7.764
|
7.546
|
7.340
|
7.146
|
6.962
|
60
|
11.571
|
11.108
|
10.678
|
10.279
|
9.906
|
9.558
|
9.233
|
8.929
|
8.644
|
8.376
|
8.124
|
7.887
|
7.664
|
7.453
|
7.254
|
7.066
|
6.887
|
61
|
10.951
|
10.528
|
10.135
|
9.769
|
9.427
|
9.107
|
8.808
|
8.527
|
8.263
|
8.015
|
7.782
|
7.562
|
7.355
|
7.159
|
6.973
|
6.797
|
6.631
|
62
|
10.454
|
10.063
|
9.699
|
9.360
|
9.042
|
8.744
|
8.465
|
8.203
|
7.957
|
7.725
|
7.507
|
7.300
|
7.105
|
6.921
|
6.746
|
6.581
|
6.424
|
63
|
9.574
|
9.234
|
8.917
|
8.620
|
8.341
|
8.080
|
7.835
|
7.604
|
7.387
|
7.182
|
6.988
|
6.805
|
6.632
|
6.468
|
6.312
|
6.165
|
6.024
|
64
|
8.707
|
8.414
|
8.140
|
7.884
|
7.642
|
7.416
|
7.203
|
7.001
|
6.812
|
6.633
|
6.463
|
6.302
|
6.150
|
6.006
|
5.869
|
5.738
|
5.614
|
1Present value of annual payments of $1 payable at the beginning of each year, starting with the year of entitlement and continuing thereafter for the life of the annuitant. Receipt of payment is contingent upon survival to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in tables 8A and 8C. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
32.936
|
29.517
|
26.622
|
24.154
|
22.038
|
20.211
|
18.626
|
17.241
|
16.025
|
14.953
|
14.001
|
13.153
|
12.394
|
11.711
|
11.095
|
10.537
|
10.029
|
17
|
32.246
|
28.941
|
26.136
|
23.741
|
21.683
|
19.904
|
18.357
|
17.004
|
15.814
|
14.763
|
13.830
|
12.997
|
12.251
|
11.580
|
10.974
|
10.424
|
9.923
|
18
|
31.519
|
28.332
|
25.622
|
23.303
|
21.305
|
19.576
|
18.069
|
16.750
|
15.588
|
14.561
|
13.647
|
12.831
|
12.100
|
11.441
|
10.845
|
10.304
|
9.812
|
19
|
30.857
|
27.780
|
25.158
|
22.910
|
20.970
|
19.286
|
17.818
|
16.530
|
15.394
|
14.388
|
13.493
|
12.693
|
11.974
|
11.326
|
10.740
|
10.208
|
9.723
|
20
|
30.308
|
27.329
|
24.783
|
22.596
|
20.705
|
19.062
|
17.626
|
16.364
|
15.251
|
14.263
|
13.382
|
12.594
|
11.886
|
11.248
|
10.669
|
10.143
|
9.664
|
21
|
29.813
|
26.927
|
24.455
|
22.326
|
20.483
|
18.877
|
17.472
|
16.235
|
15.142
|
14.171
|
13.305
|
12.528
|
11.830
|
11.199
|
10.628
|
10.108
|
9.633
|
22
|
29.270
|
26.478
|
24.082
|
22.014
|
20.219
|
18.654
|
17.281
|
16.071
|
15.000
|
14.047
|
13.196
|
12.432
|
11.745
|
11.124
|
10.560
|
10.046
|
9.578
|
23
|
28.510
|
25.831
|
23.528
|
21.536
|
19.803
|
18.289
|
16.959
|
15.785
|
14.745
|
13.817
|
12.988
|
12.244
|
11.573
|
10.965
|
10.414
|
9.911
|
9.452
|
24
|
27.768
|
25.202
|
22.989
|
21.071
|
19.400
|
17.937
|
16.649
|
15.511
|
14.500
|
13.599
|
12.791
|
12.065
|
11.410
|
10.817
|
10.278
|
9.786
|
9.336
|
25
|
26.897
|
24.452
|
22.340
|
20.505
|
18.903
|
17.497
|
16.258
|
15.162
|
14.186
|
13.315
|
12.533
|
11.830
|
11.194
|
10.618
|
10.094
|
9.616
|
9.178
|
26
|
25.973
|
23.653
|
21.644
|
19.896
|
18.366
|
17.021
|
15.834
|
14.781
|
13.843
|
13.004
|
12.250
|
11.571
|
10.957
|
10.399
|
9.892
|
9.428
|
9.003
|
27
|
25.245
|
23.029
|
21.104
|
19.426
|
17.955
|
16.659
|
15.513
|
14.495
|
13.587
|
12.773
|
12.042
|
11.382
|
10.784
|
10.241
|
9.746
|
9.293
|
8.878
|
28
|
24.539
|
22.422
|
20.581
|
18.971
|
17.557
|
16.310
|
15.204
|
14.221
|
13.342
|
12.553
|
11.844
|
11.202
|
10.621
|
10.092
|
9.609
|
9.167
|
8.762
|
29
|
23.904
|
21.877
|
20.110
|
18.562
|
17.200
|
15.996
|
14.927
|
13.974
|
13.121
|
12.356
|
11.665
|
11.041
|
10.474
|
9.957
|
9.486
|
9.054
|
8.657
|
30
|
23.281
|
21.341
|
19.647
|
18.159
|
16.847
|
15.685
|
14.652
|
13.729
|
12.903
|
12.159
|
11.488
|
10.880
|
10.327
|
9.823
|
9.362
|
8.940
|
8.552
|
31
|
22.691
|
20.834
|
19.208
|
17.777
|
16.512
|
15.391
|
14.391
|
13.498
|
12.696
|
11.973
|
11.320
|
10.728
|
10.189
|
9.697
|
9.247
|
8.833
|
8.453
|
32
|
22.233
|
20.445
|
18.876
|
17.492
|
16.267
|
15.179
|
14.207
|
13.337
|
12.555
|
11.849
|
11.210
|
10.630
|
10.102
|
9.619
|
9.177
|
8.771
|
8.396
|
33
|
21.790
|
20.069
|
18.555
|
17.218
|
16.031
|
14.975
|
14.030
|
13.183
|
12.420
|
11.731
|
11.106
|
10.538
|
10.020
|
9.547
|
9.112
|
8.712
|
8.344
|
34
|
21.358
|
19.701
|
18.240
|
16.947
|
15.798
|
14.772
|
13.854
|
13.029
|
12.285
|
11.612
|
11.001
|
10.444
|
9.937
|
9.472
|
9.045
|
8.652
|
8.289
|
35
|
20.806
|
19.222
|
17.823
|
16.582
|
15.477
|
14.489
|
13.602
|
12.805
|
12.084
|
11.432
|
10.838
|
10.298
|
9.803
|
9.350
|
8.934
|
8.550
|
8.195
|
36
|
20.457
|
18.929
|
17.576
|
16.374
|
15.301
|
14.340
|
13.476
|
12.697
|
11.993
|
11.354
|
10.773
|
10.242
|
9.756
|
9.310
|
8.900
|
8.522
|
8.172
|
37
|
19.922
|
18.463
|
17.168
|
16.014
|
14.983
|
14.058
|
13.225
|
12.473
|
11.792
|
11.173
|
10.608
|
10.093
|
9.620
|
9.186
|
8.786
|
8.417
|
8.075
|
38
|
19.479
|
18.078
|
16.832
|
15.720
|
14.725
|
13.830
|
13.023
|
12.293
|
11.630
|
11.027
|
10.477
|
9.974
|
9.512
|
9.088
|
8.696
|
8.334
|
7.999
|
39
|
18.969
|
17.633
|
16.441
|
15.375
|
14.419
|
13.558
|
12.780
|
12.075
|
11.435
|
10.851
|
10.318
|
9.829
|
9.381
|
8.967
|
8.586
|
8.233
|
7.905
|
40
|
18.444
|
17.170
|
16.033
|
15.014
|
14.097
|
13.270
|
12.522
|
11.843
|
11.225
|
10.661
|
10.145
|
9.672
|
9.236
|
8.835
|
8.464
|
8.120
|
7.801
|
41
|
18.006
|
16.787
|
15.697
|
14.718
|
13.836
|
13.038
|
12.316
|
11.659
|
11.060
|
10.513
|
10.011
|
9.550
|
9.126
|
8.734
|
8.372
|
8.036
|
7.724
|
42
|
17.517
|
16.356
|
15.314
|
14.377
|
13.531
|
12.765
|
12.069
|
11.436
|
10.858
|
10.329
|
9.843
|
9.397
|
8.985
|
8.604
|
8.252
|
7.925
|
7.621
|
43
|
16.971
|
15.869
|
14.878
|
13.985
|
13.178
|
12.445
|
11.779
|
11.171
|
10.616
|
10.107
|
9.639
|
9.208
|
8.810
|
8.442
|
8.101
|
7.784
|
7.489
|
44
|
16.497
|
15.449
|
14.504
|
13.651
|
12.878
|
12.175
|
11.535
|
10.951
|
10.415
|
9.924
|
9.472
|
9.055
|
8.669
|
8.312
|
7.981
|
7.672
|
7.385
|
45
|
16.090
|
15.089
|
14.185
|
13.367
|
12.625
|
11.949
|
11.332
|
10.767
|
10.250
|
9.774
|
9.336
|
8.931
|
8.556
|
8.208
|
7.886
|
7.585
|
7.305
|
46
|
15.578
|
14.631
|
13.774
|
12.996
|
12.289
|
11.644
|
11.055
|
10.515
|
10.019
|
9.562
|
9.141
|
8.751
|
8.390
|
8.054
|
7.742
|
7.452
|
7.180
|
47
|
15.157
|
14.255
|
13.438
|
12.695
|
12.019
|
11.401
|
10.835
|
10.315
|
9.837
|
9.397
|
8.990
|
8.613
|
8.263
|
7.938
|
7.635
|
7.352
|
7.088
|
48
|
14.609
|
13.759
|
12.988
|
12.286
|
11.645
|
11.058
|
10.520
|
10.025
|
9.570
|
9.149
|
8.759
|
8.398
|
8.063
|
7.751
|
7.460
|
7.188
|
6.934
|
49
|
14.378
|
13.560
|
12.815
|
12.135
|
11.514
|
10.944
|
10.421
|
9.939
|
9.494
|
9.083
|
8.702
|
8.349
|
8.020
|
7.713
|
7.427
|
7.160
|
6.910
|
50
|
14.425
|
13.620
|
12.886
|
12.215
|
11.601
|
11.037
|
10.518
|
10.039
|
9.597
|
9.188
|
8.808
|
8.455
|
8.126
|
7.819
|
7.533
|
7.265
|
7.013
|
51
|
13.646
|
12.904
|
12.226
|
11.606
|
11.036
|
10.512
|
10.030
|
9.584
|
9.171
|
8.788
|
8.433
|
8.102
|
7.793
|
7.505
|
7.236
|
6.983
|
6.746
|
52
|
13.147
|
12.450
|
11.812
|
11.226
|
10.688
|
10.192
|
9.734
|
9.311
|
8.918
|
8.553
|
8.214
|
7.898
|
7.603
|
7.327
|
7.068
|
6.826
|
6.598
|
53
|
12.720
|
12.061
|
11.457
|
10.902
|
10.391
|
9.919
|
9.482
|
9.078
|
8.702
|
8.353
|
8.028
|
7.724
|
7.441
|
7.175
|
6.926
|
6.692
|
6.473
|
54
|
12.498
|
11.864
|
11.281
|
10.745
|
10.250
|
9.793
|
9.369
|
8.976
|
8.611
|
8.270
|
7.953
|
7.657
|
7.379
|
7.119
|
6.875
|
6.646
|
6.430
|
55
|
12.622
|
11.993
|
11.415
|
10.882
|
10.389
|
9.932
|
9.509
|
9.116
|
8.750
|
8.409
|
8.090
|
7.793
|
7.513
|
7.252
|
7.006
|
6.774
|
6.557
|
56
|
11.948
|
11.369
|
10.836
|
10.343
|
9.887
|
9.464
|
9.071
|
8.705
|
8.364
|
8.046
|
7.748
|
7.469
|
7.208
|
6.962
|
6.731
|
6.514
|
6.309
|
57
|
11.579
|
11.032
|
10.527
|
10.060
|
9.626
|
9.224
|
8.849
|
8.500
|
8.174
|
7.869
|
7.584
|
7.316
|
7.065
|
6.828
|
6.606
|
6.396
|
6.198
|
58
|
11.206
|
10.690
|
10.212
|
9.769
|
9.358
|
8.975
|
8.619
|
8.286
|
7.975
|
7.683
|
7.410
|
7.154
|
6.912
|
6.685
|
6.471
|
6.269
|
6.079
|
59
|
10.847
|
10.360
|
9.908
|
9.489
|
9.099
|
8.735
|
8.395
|
8.078
|
7.781
|
7.503
|
7.241
|
6.995
|
6.764
|
6.546
|
6.340
|
6.146
|
5.962
|
60
|
10.571
|
10.108
|
9.678
|
9.279
|
8.906
|
8.558
|
8.233
|
7.929
|
7.644
|
7.376
|
7.124
|
6.887
|
6.664
|
6.453
|
6.254
|
6.066
|
5.887
|
61
|
9.951
|
9.528
|
9.135
|
8.769
|
8.427
|
8.107
|
7.808
|
7.527
|
7.263
|
7.015
|
6.782
|
6.562
|
6.355
|
6.159
|
5.973
|
5.797
|
5.631
|
62
|
9.454
|
9.063
|
8.699
|
8.360
|
8.042
|
7.744
|
7.465
|
7.203
|
6.957
|
6.725
|
6.507
|
6.300
|
6.105
|
5.921
|
5.746
|
5.581
|
5.424
|
63
|
8.574
|
8.234
|
7.917
|
7.620
|
7.341
|
7.080
|
6.835
|
6.604
|
6.387
|
6.182
|
5.988
|
5.805
|
5.632
|
5.468
|
5.312
|
5.165
|
5.024
|
64
|
7.707
|
7.414
|
7.140
|
6.884
|
6.642
|
6.416
|
6.203
|
6.001
|
5.812
|
5.633
|
5.463
|
5.302
|
5.150
|
5.006
|
4.869
|
4.738
|
4.614
|
1Present value of annual payments of $1 payable at the end of each year, starting with the year of entitlement and continuing thereafter for the life of the annuitant. Receipt of payment is contingent upon survival to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in tables 8A and 8C. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
401.720
|
360.679
|
325.930
|
296.316
|
270.914
|
248.991
|
229.958
|
213.339
|
198.747
|
185.869
|
174.447
|
164.266
|
155.152
|
146.957
|
139.558
|
132.852
|
126.753
|
17
|
393.431
|
353.765
|
320.107
|
291.362
|
266.659
|
245.302
|
226.730
|
210.490
|
196.212
|
183.595
|
172.392
|
162.397
|
153.440
|
145.381
|
138.099
|
131.495
|
125.484
|
18
|
384.716
|
346.466
|
313.936
|
286.097
|
262.126
|
241.365
|
223.281
|
207.444
|
193.501
|
181.165
|
170.198
|
160.404
|
151.619
|
143.707
|
136.553
|
130.061
|
124.147
|
19
|
376.762
|
339.841
|
308.369
|
281.379
|
258.094
|
237.890
|
220.263
|
204.801
|
191.171
|
179.095
|
168.346
|
158.737
|
150.109
|
142.332
|
135.294
|
128.902
|
123.076
|
20
|
370.176
|
334.419
|
303.872
|
277.619
|
254.925
|
235.200
|
217.961
|
202.817
|
189.447
|
177.587
|
167.018
|
157.560
|
149.059
|
141.389
|
134.442
|
128.128
|
122.370
|
21
|
364.242
|
329.597
|
299.932
|
274.383
|
252.254
|
232.983
|
216.113
|
201.269
|
188.145
|
176.488
|
166.086
|
156.767
|
148.382
|
140.809
|
133.945
|
127.700
|
122.001
|
22
|
357.719
|
324.209
|
295.451
|
270.630
|
249.090
|
230.297
|
213.818
|
199.295
|
186.436
|
174.999
|
164.781
|
155.616
|
147.361
|
139.899
|
133.128
|
126.965
|
121.335
|
23
|
348.597
|
316.454
|
288.806
|
264.893
|
244.099
|
225.925
|
209.960
|
195.869
|
183.373
|
172.244
|
162.290
|
153.350
|
145.291
|
137.997
|
131.374
|
125.339
|
119.823
|
24
|
339.705
|
308.896
|
282.336
|
259.315
|
239.257
|
221.692
|
206.237
|
192.573
|
180.439
|
169.616
|
159.924
|
151.209
|
143.343
|
136.218
|
129.741
|
123.835
|
118.432
|
25
|
329.247
|
299.901
|
274.544
|
252.518
|
233.289
|
216.420
|
201.549
|
188.381
|
176.669
|
166.209
|
156.828
|
148.383
|
140.753
|
133.833
|
127.538
|
121.792
|
116.531
|
26
|
318.160
|
290.317
|
266.202
|
245.211
|
226.848
|
210.707
|
196.454
|
183.812
|
172.550
|
162.477
|
153.431
|
145.278
|
137.902
|
131.207
|
125.109
|
119.538
|
114.432
|
27
|
309.427
|
282.819
|
259.723
|
239.575
|
221.915
|
206.362
|
192.605
|
180.382
|
169.478
|
159.711
|
150.928
|
143.003
|
135.824
|
129.301
|
123.355
|
117.917
|
112.929
|
28
|
300.953
|
275.545
|
253.440
|
234.116
|
217.143
|
202.168
|
188.898
|
177.089
|
166.537
|
157.072
|
148.549
|
140.848
|
133.866
|
127.513
|
121.716
|
116.410
|
111.539
|
29
|
293.328
|
269.002
|
247.791
|
229.208
|
212.855
|
198.399
|
185.567
|
174.129
|
163.893
|
154.698
|
146.408
|
138.908
|
132.099
|
125.899
|
120.235
|
115.045
|
110.277
|
30
|
285.852
|
262.572
|
242.228
|
224.367
|
208.617
|
194.669
|
182.265
|
171.191
|
161.266
|
152.337
|
144.276
|
136.974
|
130.337
|
124.287
|
118.754
|
113.681
|
109.015
|
31
|
278.780
|
256.487
|
236.961
|
219.782
|
204.604
|
191.138
|
179.141
|
168.413
|
158.782
|
150.107
|
142.264
|
135.150
|
128.678
|
122.770
|
117.363
|
112.399
|
107.830
|
32
|
273.278
|
251.816
|
232.976
|
216.367
|
201.664
|
188.594
|
176.931
|
166.483
|
157.091
|
148.618
|
140.948
|
133.982
|
127.637
|
121.839
|
116.527
|
111.646
|
107.150
|
33
|
267.962
|
247.303
|
229.129
|
213.073
|
198.830
|
186.147
|
174.809
|
164.636
|
155.476
|
147.201
|
139.700
|
132.879
|
126.658
|
120.968
|
115.749
|
110.949
|
106.523
|
34
|
262.783
|
242.891
|
225.353
|
209.827
|
196.028
|
183.716
|
172.692
|
162.785
|
153.851
|
145.768
|
138.431
|
131.751
|
125.652
|
120.068
|
114.940
|
110.219
|
105.863
|
35
|
256.151
|
237.142
|
220.345
|
205.444
|
192.174
|
180.313
|
169.673
|
160.096
|
151.445
|
143.607
|
136.483
|
129.989
|
124.052
|
118.609
|
113.606
|
108.996
|
104.738
|
36
|
251.971
|
233.629
|
217.385
|
202.946
|
190.062
|
178.524
|
168.156
|
158.808
|
150.352
|
142.679
|
135.695
|
129.321
|
123.486
|
118.131
|
113.204
|
108.658
|
104.456
|
37
|
245.543
|
228.026
|
212.480
|
198.632
|
186.251
|
175.143
|
165.145
|
156.114
|
147.933
|
140.498
|
133.722
|
127.529
|
121.853
|
116.638
|
111.834
|
107.398
|
103.293
|
38
|
240.226
|
223.410
|
208.455
|
195.106
|
183.149
|
172.403
|
162.713
|
153.947
|
145.994
|
138.756
|
132.151
|
126.106
|
120.560
|
115.458
|
110.754
|
106.406
|
102.379
|
39
|
234.114
|
218.065
|
203.760
|
190.965
|
179.482
|
169.143
|
159.804
|
151.341
|
143.651
|
136.643
|
130.238
|
124.369
|
118.977
|
114.012
|
109.428
|
105.187
|
101.255
|
40
|
227.807
|
212.519
|
198.863
|
186.624
|
175.619
|
165.691
|
156.708
|
148.555
|
141.134
|
134.361
|
128.162
|
122.475
|
117.243
|
112.420
|
107.963
|
103.834
|
100.002
|
41
|
222.551
|
207.924
|
194.832
|
183.073
|
172.480
|
162.906
|
154.229
|
146.340
|
139.149
|
132.576
|
126.553
|
121.018
|
115.922
|
111.217
|
106.865
|
102.829
|
99.080
|
42
|
216.691
|
202.747
|
190.239
|
178.983
|
168.823
|
159.625
|
151.273
|
143.669
|
136.726
|
130.371
|
124.539
|
119.173
|
114.226
|
109.654
|
105.420
|
101.490
|
97.835
|
43
|
210.132
|
196.900
|
185.006
|
174.282
|
164.583
|
155.787
|
147.787
|
140.491
|
133.819
|
127.703
|
122.083
|
116.906
|
112.127
|
107.705
|
103.605
|
99.796
|
96.250
|
44
|
204.448
|
191.856
|
180.514
|
170.267
|
160.983
|
152.547
|
144.862
|
137.841
|
131.411
|
125.509
|
120.077
|
115.067
|
110.436
|
106.146
|
102.164
|
98.461
|
95.010
|
45
|
199.567
|
187.543
|
176.691
|
166.866
|
157.948
|
149.830
|
142.422
|
135.644
|
129.427
|
123.711
|
118.444
|
113.580
|
109.078
|
104.903
|
101.023
|
97.411
|
94.041
|
46
|
193.423
|
182.043
|
171.750
|
162.413
|
153.922
|
146.179
|
139.101
|
132.614
|
126.654
|
121.168
|
116.104
|
111.422
|
107.083
|
103.054
|
99.305
|
95.811
|
92.549
|
47
|
188.361
|
177.534
|
167.721
|
158.803
|
150.677
|
143.254
|
136.456
|
130.217
|
124.477
|
119.183
|
114.292
|
109.763
|
105.561
|
101.654
|
98.015
|
94.620
|
91.446
|
48
|
181.786
|
171.586
|
162.323
|
153.889
|
146.189
|
139.143
|
132.680
|
126.738
|
121.263
|
116.207
|
111.529
|
107.190
|
103.160
|
99.409
|
95.911
|
92.644
|
89.587
|
49
|
179.021
|
169.188
|
160.240
|
152.078
|
144.614
|
137.772
|
131.486
|
125.698
|
120.357
|
115.418
|
110.841
|
106.593
|
102.642
|
98.960
|
95.523
|
92.309
|
89.300
|
50
|
179.579
|
169.911
|
161.097
|
153.042
|
145.663
|
138.888
|
132.653
|
126.904
|
121.591
|
116.672
|
112.108
|
107.866
|
103.916
|
100.231
|
96.788
|
93.565
|
90.544
|
51
|
170.232
|
161.321
|
153.181
|
145.728
|
138.887
|
132.595
|
126.795
|
121.437
|
116.479
|
111.881
|
107.609
|
103.632
|
99.925
|
96.462
|
93.222
|
90.186
|
87.337
|
52
|
164.246
|
155.872
|
148.207
|
141.174
|
134.708
|
128.750
|
123.249
|
118.160
|
113.442
|
109.061
|
104.984
|
101.185
|
97.638
|
94.321
|
91.214
|
88.299
|
85.561
|
53
|
159.124
|
151.210
|
143.952
|
137.282
|
131.137
|
125.466
|
120.222
|
115.362
|
110.851
|
106.656
|
102.747
|
99.100
|
95.690
|
92.498
|
89.505
|
86.694
|
84.051
|
54
|
156.458
|
148.839
|
141.840
|
135.396
|
129.450
|
123.954
|
118.864
|
114.141
|
109.751
|
105.663
|
101.849
|
98.287
|
94.953
|
91.828
|
88.896
|
86.139
|
83.544
|
55
|
157.946
|
150.395
|
143.446
|
137.037
|
131.116
|
125.633
|
120.549
|
115.824
|
111.427
|
107.328
|
103.499
|
99.918
|
96.564
|
93.417
|
90.461
|
87.679
|
85.059
|
56
|
149.857
|
142.907
|
136.498
|
130.577
|
125.095
|
120.011
|
115.288
|
110.893
|
106.795
|
102.969
|
99.392
|
96.040
|
92.897
|
89.944
|
87.167
|
84.551
|
82.083
|
57
|
145.429
|
138.860
|
132.792
|
127.175
|
121.966
|
117.127
|
112.625
|
108.428
|
104.510
|
100.847
|
97.416
|
94.199
|
91.178
|
88.336
|
85.660
|
83.137
|
80.755
|
58
|
140.951
|
134.750
|
129.010
|
123.688
|
118.745
|
114.145
|
109.859
|
105.858
|
102.117
|
98.615
|
95.331
|
92.247
|
89.348
|
86.618
|
84.044
|
81.615
|
79.319
|
59
|
136.648
|
130.793
|
125.365
|
120.324
|
115.633
|
111.261
|
107.181
|
103.367
|
99.796
|
96.448
|
93.304
|
90.349
|
87.567
|
84.945
|
82.470
|
80.131
|
77.919
|
60
|
133.330
|
127.770
|
122.606
|
117.801
|
113.323
|
109.143
|
105.235
|
101.577
|
98.147
|
94.927
|
91.899
|
89.049
|
86.363
|
83.829
|
81.434
|
79.168
|
77.023
|
61
|
125.891
|
120.813
|
116.088
|
111.684
|
107.572
|
103.727
|
100.126
|
96.750
|
93.581
|
90.600
|
87.794
|
85.149
|
82.652
|
80.293
|
78.062
|
75.948
|
73.945
|
62
|
119.927
|
115.233
|
110.857
|
106.772
|
102.951
|
99.373
|
96.018
|
92.867
|
89.905
|
87.116
|
84.486
|
82.005
|
79.660
|
77.442
|
75.341
|
73.349
|
71.459
|
63
|
109.371
|
105.283
|
101.464
|
97.891
|
94.543
|
91.401
|
88.450
|
85.673
|
83.058
|
80.591
|
78.262
|
76.060
|
73.976
|
72.001
|
70.129
|
68.351
|
66.661
|
64
|
98.960
|
95.441
|
92.147
|
89.058
|
86.157
|
83.430
|
80.863
|
78.443
|
76.159
|
74.001
|
71.960
|
70.027
|
68.194
|
66.454
|
64.802
|
63.230
|
61.735
|
1Present value of monthly payments of $1 payable at the beginning of each month, starting with the year of entitlement and continuing thereafter for the life of the annuitant. Receipt of payment is contingent upon survival to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in tables 8A and 8C. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
400.720
|
359.679
|
324.930
|
295.316
|
269.914
|
247.991
|
228.958
|
212.339
|
197.747
|
184.869
|
173.447
|
163.266
|
154.152
|
145.957
|
138.558
|
131.852
|
125.753
|
17
|
392.431
|
352.765
|
319.107
|
290.362
|
265.659
|
244.302
|
225.730
|
209.490
|
195.212
|
182.595
|
171.392
|
161.397
|
152.440
|
144.381
|
137.099
|
130.495
|
124.484
|
18
|
383.716
|
345.466
|
312.936
|
285.097
|
261.126
|
240.365
|
222.281
|
206.444
|
192.501
|
180.165
|
169.198
|
159.404
|
150.619
|
142.707
|
135.553
|
129.061
|
123.147
|
19
|
375.762
|
338.841
|
307.369
|
280.379
|
257.094
|
236.890
|
219.263
|
203.801
|
190.171
|
178.095
|
167.346
|
157.737
|
149.109
|
141.332
|
134.294
|
127.902
|
122.076
|
20
|
369.176
|
333.419
|
302.872
|
276.619
|
253.925
|
234.200
|
216.961
|
201.817
|
188.447
|
176.587
|
166.018
|
156.560
|
148.059
|
140.389
|
133.442
|
127.128
|
121.370
|
21
|
363.242
|
328.597
|
298.932
|
273.383
|
251.254
|
231.983
|
215.113
|
200.269
|
187.145
|
175.488
|
165.086
|
155.767
|
147.382
|
139.809
|
132.945
|
126.700
|
121.001
|
22
|
356.719
|
323.209
|
294.451
|
269.630
|
248.090
|
229.297
|
212.818
|
198.295
|
185.436
|
173.999
|
163.781
|
154.616
|
146.361
|
138.899
|
132.128
|
125.965
|
120.335
|
23
|
347.597
|
315.454
|
287.806
|
263.893
|
243.099
|
224.925
|
208.960
|
194.869
|
182.373
|
171.244
|
161.290
|
152.350
|
144.291
|
136.997
|
130.374
|
124.339
|
118.823
|
24
|
338.705
|
307.896
|
281.336
|
258.315
|
238.257
|
220.692
|
205.237
|
191.573
|
179.439
|
168.616
|
158.924
|
150.209
|
142.343
|
135.218
|
128.741
|
122.835
|
117.432
|
25
|
328.247
|
298.901
|
273.544
|
251.518
|
232.289
|
215.420
|
200.549
|
187.381
|
175.669
|
165.209
|
155.828
|
147.383
|
139.753
|
132.833
|
126.538
|
120.792
|
115.531
|
26
|
317.160
|
289.317
|
265.202
|
244.211
|
225.848
|
209.707
|
195.454
|
182.812
|
171.550
|
161.477
|
152.431
|
144.278
|
136.902
|
130.207
|
124.109
|
118.538
|
113.432
|
27
|
308.427
|
281.819
|
258.723
|
238.575
|
220.915
|
205.362
|
191.605
|
179.382
|
168.478
|
158.711
|
149.928
|
142.003
|
134.824
|
128.301
|
122.355
|
116.917
|
111.929
|
28
|
299.953
|
274.545
|
252.440
|
233.116
|
216.143
|
201.168
|
187.898
|
176.089
|
165.537
|
156.072
|
147.549
|
139.848
|
132.866
|
126.513
|
120.716
|
115.410
|
110.539
|
29
|
292.328
|
268.002
|
246.791
|
228.208
|
211.855
|
197.399
|
184.567
|
173.129
|
162.893
|
153.698
|
145.408
|
137.908
|
131.099
|
124.899
|
119.235
|
114.045
|
109.277
|
30
|
284.852
|
261.572
|
241.228
|
223.367
|
207.617
|
193.669
|
181.265
|
170.191
|
160.266
|
151.337
|
143.276
|
135.974
|
129.337
|
123.287
|
117.754
|
112.681
|
108.015
|
31
|
277.780
|
255.487
|
235.961
|
218.782
|
203.604
|
190.138
|
178.141
|
167.413
|
157.782
|
149.107
|
141.264
|
134.150
|
127.678
|
121.770
|
116.363
|
111.399
|
106.830
|
32
|
272.278
|
250.816
|
231.976
|
215.367
|
200.664
|
187.594
|
175.931
|
165.483
|
156.091
|
147.618
|
139.948
|
132.982
|
126.637
|
120.839
|
115.527
|
110.646
|
106.150
|
33
|
266.962
|
246.303
|
228.129
|
212.073
|
197.830
|
185.147
|
173.809
|
163.636
|
154.476
|
146.201
|
138.700
|
131.879
|
125.658
|
119.968
|
114.749
|
109.949
|
105.523
|
34
|
261.783
|
241.891
|
224.353
|
208.827
|
195.028
|
182.716
|
171.692
|
161.785
|
152.851
|
144.768
|
137.431
|
130.751
|
124.652
|
119.068
|
113.940
|
109.219
|
104.863
|
35
|
255.151
|
236.142
|
219.345
|
204.444
|
191.174
|
179.313
|
168.673
|
159.096
|
150.445
|
142.607
|
135.483
|
128.989
|
123.052
|
117.609
|
112.606
|
107.996
|
103.738
|
36
|
250.971
|
232.629
|
216.385
|
201.946
|
189.062
|
177.524
|
167.156
|
157.808
|
149.352
|
141.679
|
134.695
|
128.321
|
122.486
|
117.131
|
112.204
|
107.658
|
103.456
|
37
|
244.543
|
227.026
|
211.480
|
197.632
|
185.251
|
174.143
|
164.145
|
155.114
|
146.933
|
139.498
|
132.722
|
126.529
|
120.853
|
115.638
|
110.834
|
106.398
|
102.293
|
38
|
239.226
|
222.410
|
207.455
|
194.106
|
182.149
|
171.403
|
161.713
|
152.947
|
144.994
|
137.756
|
131.151
|
125.106
|
119.560
|
114.458
|
109.754
|
105.406
|
101.379
|
39
|
233.114
|
217.065
|
202.760
|
189.965
|
178.482
|
168.143
|
158.804
|
150.341
|
142.651
|
135.643
|
129.238
|
123.369
|
117.977
|
113.012
|
108.428
|
104.187
|
100.255
|
40
|
226.807
|
211.519
|
197.863
|
185.624
|
174.619
|
164.691
|
155.708
|
147.555
|
140.134
|
133.361
|
127.162
|
121.475
|
116.243
|
111.420
|
106.963
|
102.834
|
99.002
|
41
|
221.551
|
206.924
|
193.832
|
182.073
|
171.480
|
161.906
|
153.229
|
145.340
|
138.149
|
131.576
|
125.553
|
120.018
|
114.922
|
110.217
|
105.865
|
101.829
|
98.080
|
42
|
215.691
|
201.747
|
189.239
|
177.983
|
167.823
|
158.625
|
150.273
|
142.669
|
135.726
|
129.371
|
123.539
|
118.173
|
113.226
|
108.654
|
104.420
|
100.490
|
96.835
|
43
|
209.132
|
195.900
|
184.006
|
173.282
|
163.583
|
154.787
|
146.787
|
139.491
|
132.819
|
126.703
|
121.083
|
115.906
|
111.127
|
106.705
|
102.605
|
98.796
|
95.250
|
44
|
203.448
|
190.856
|
179.514
|
169.267
|
159.983
|
151.547
|
143.862
|
136.841
|
130.411
|
124.509
|
119.077
|
114.067
|
109.436
|
105.146
|
101.164
|
97.461
|
94.010
|
45
|
198.567
|
186.543
|
175.691
|
165.866
|
156.948
|
148.830
|
141.422
|
134.644
|
128.427
|
122.711
|
117.444
|
112.580
|
108.078
|
103.903
|
100.023
|
96.411
|
93.041
|
46
|
192.423
|
181.043
|
170.750
|
161.413
|
152.922
|
145.179
|
138.101
|
131.614
|
125.654
|
120.168
|
115.104
|
110.422
|
106.083
|
102.054
|
98.305
|
94.811
|
91.549
|
47
|
187.361
|
176.534
|
166.721
|
157.803
|
149.677
|
142.254
|
135.456
|
129.217
|
123.477
|
118.183
|
113.292
|
108.763
|
104.561
|
100.654
|
97.015
|
93.620
|
90.446
|
48
|
180.786
|
170.586
|
161.323
|
152.889
|
145.189
|
138.143
|
131.680
|
125.738
|
120.263
|
115.207
|
110.529
|
106.190
|
102.160
|
98.409
|
94.911
|
91.644
|
88.587
|
49
|
178.021
|
168.188
|
159.240
|
151.078
|
143.614
|
136.772
|
130.486
|
124.698
|
119.357
|
114.418
|
109.841
|
105.593
|
101.642
|
97.960
|
94.523
|
91.309
|
88.300
|
50
|
178.579
|
168.911
|
160.097
|
152.042
|
144.663
|
137.888
|
131.653
|
125.904
|
120.591
|
115.672
|
111.108
|
106.866
|
102.916
|
99.231
|
95.788
|
92.565
|
89.544
|
51
|
169.232
|
160.321
|
152.181
|
144.728
|
137.887
|
131.595
|
125.795
|
120.437
|
115.479
|
110.881
|
106.609
|
102.632
|
98.925
|
95.462
|
92.222
|
89.186
|
86.337
|
52
|
163.246
|
154.872
|
147.207
|
140.174
|
133.708
|
127.750
|
122.249
|
117.160
|
112.442
|
108.061
|
103.984
|
100.185
|
96.638
|
93.321
|
90.214
|
87.299
|
84.561
|
53
|
158.124
|
150.210
|
142.952
|
136.282
|
130.137
|
124.466
|
119.222
|
114.362
|
109.851
|
105.656
|
101.747
|
98.100
|
94.690
|
91.498
|
88.505
|
85.694
|
83.051
|
54
|
155.458
|
147.839
|
140.840
|
134.396
|
128.450
|
122.954
|
117.864
|
113.141
|
108.751
|
104.663
|
100.849
|
97.287
|
93.953
|
90.828
|
87.896
|
85.139
|
82.544
|
55
|
156.946
|
149.395
|
142.446
|
136.037
|
130.116
|
124.633
|
119.549
|
114.824
|
110.427
|
106.328
|
102.499
|
98.918
|
95.564
|
92.417
|
89.461
|
86.679
|
84.059
|
56
|
148.857
|
141.907
|
135.498
|
129.577
|
124.095
|
119.011
|
114.288
|
109.893
|
105.795
|
101.969
|
98.392
|
95.040
|
91.897
|
88.944
|
86.167
|
83.551
|
81.083
|
57
|
144.429
|
137.860
|
131.792
|
126.175
|
120.966
|
116.127
|
111.625
|
107.428
|
103.510
|
99.847
|
96.416
|
93.199
|
90.178
|
87.336
|
84.660
|
82.137
|
79.755
|
58
|
139.951
|
133.750
|
128.010
|
122.688
|
117.745
|
113.145
|
108.859
|
104.858
|
101.117
|
97.615
|
94.331
|
91.247
|
88.348
|
85.618
|
83.044
|
80.615
|
78.319
|
59
|
135.648
|
129.793
|
124.365
|
119.324
|
114.633
|
110.261
|
106.181
|
102.367
|
98.796
|
95.448
|
92.304
|
89.349
|
86.567
|
83.945
|
81.470
|
79.131
|
76.919
|
60
|
132.330
|
126.770
|
121.606
|
116.801
|
112.323
|
108.143
|
104.235
|
100.577
|
97.147
|
93.927
|
90.899
|
88.049
|
85.363
|
82.829
|
80.434
|
78.168
|
76.023
|
61
|
124.891
|
119.813
|
115.088
|
110.684
|
106.572
|
102.727
|
99.126
|
95.750
|
92.581
|
89.600
|
86.794
|
84.149
|
81.652
|
79.293
|
77.062
|
74.948
|
72.945
|
62
|
118.927
|
114.233
|
109.857
|
105.772
|
101.951
|
98.373
|
95.018
|
91.867
|
88.905
|
86.116
|
83.486
|
81.005
|
78.660
|
76.442
|
74.341
|
72.349
|
70.459
|
63
|
108.371
|
104.283
|
100.464
|
96.891
|
93.543
|
90.401
|
87.450
|
84.673
|
82.058
|
79.591
|
77.262
|
75.060
|
72.976
|
71.001
|
69.129
|
67.351
|
65.661
|
64
|
97.960
|
94.441
|
91.147
|
88.058
|
85.157
|
82.430
|
79.863
|
77.443
|
75.159
|
73.001
|
70.960
|
69.027
|
67.194
|
65.454
|
63.802
|
62.230
|
60.735
|
1Present value of monthly payments of $1 payable at the end of each month, starting with the year of entitlement and continuing thereafter for the life of the annuitant. Receipt of payment is contingent upon survival to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in tables 8A and 8C. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
36.764
|
32.771
|
29.435
|
26.627
|
24.246
|
22.211
|
20.461
|
18.946
|
17.625
|
16.468
|
15.448
|
14.543
|
13.738
|
13.017
|
12.368
|
11.783
|
11.252
|
17
|
35.902
|
32.054
|
28.832
|
26.113
|
23.803
|
21.827
|
20.124
|
18.647
|
17.359
|
16.229
|
15.231
|
14.346
|
13.557
|
12.850
|
12.214
|
11.639
|
11.117
|
18
|
35.016
|
31.313
|
28.205
|
25.577
|
23.341
|
21.423
|
19.769
|
18.332
|
17.078
|
15.975
|
15.001
|
14.136
|
13.364
|
12.672
|
12.049
|
11.486
|
10.974
|
19
|
34.316
|
30.734
|
27.721
|
25.168
|
22.991
|
21.122
|
19.506
|
18.102
|
16.873
|
15.792
|
14.836
|
13.987
|
13.228
|
12.547
|
11.934
|
11.379
|
10.875
|
20
|
33.771
|
30.292
|
27.359
|
24.870
|
22.743
|
20.913
|
19.329
|
17.950
|
16.742
|
15.678
|
14.737
|
13.899
|
13.150
|
12.477
|
11.871
|
11.322
|
10.823
|
21
|
33.478
|
30.072
|
27.194
|
24.747
|
22.651
|
20.846
|
19.281
|
17.916
|
16.719
|
15.663
|
14.728
|
13.895
|
13.150
|
12.480
|
11.876
|
11.328
|
10.830
|
22
|
33.049
|
29.730
|
26.921
|
24.526
|
22.472
|
20.699
|
19.159
|
17.815
|
16.634
|
15.592
|
14.667
|
13.843
|
13.105
|
12.441
|
11.842
|
11.298
|
10.804
|
23
|
32.454
|
29.241
|
26.515
|
24.186
|
22.185
|
20.455
|
18.950
|
17.634
|
16.477
|
15.454
|
14.545
|
13.734
|
13.008
|
12.353
|
11.762
|
11.226
|
10.738
|
24
|
31.699
|
28.609
|
25.980
|
23.730
|
21.793
|
20.115
|
18.653
|
17.372
|
16.245
|
15.247
|
14.360
|
13.567
|
12.855
|
12.215
|
11.635
|
11.109
|
10.629
|
25
|
31.035
|
28.054
|
25.513
|
23.334
|
21.454
|
19.822
|
18.398
|
17.149
|
16.048
|
15.072
|
14.203
|
13.426
|
12.728
|
12.098
|
11.529
|
11.011
|
10.539
|
26
|
30.502
|
27.615
|
25.148
|
23.028
|
21.196
|
19.603
|
18.210
|
16.987
|
15.907
|
14.948
|
14.094
|
13.329
|
12.642
|
12.021
|
11.459
|
10.948
|
10.482
|
27
|
29.978
|
27.182
|
24.788
|
22.726
|
20.940
|
19.385
|
18.023
|
16.825
|
15.766
|
14.824
|
13.985
|
13.232
|
12.555
|
11.943
|
11.388
|
10.883
|
10.422
|
28
|
29.629
|
26.906
|
24.568
|
22.551
|
20.801
|
19.274
|
17.935
|
16.755
|
15.710
|
14.780
|
13.950
|
13.205
|
12.534
|
11.927
|
11.376
|
10.875
|
10.417
|
29
|
29.075
|
26.444
|
24.182
|
22.225
|
20.523
|
19.036
|
17.730
|
16.577
|
15.555
|
14.644
|
13.830
|
13.098
|
12.439
|
11.842
|
11.299
|
10.805
|
10.353
|
30
|
28.546
|
26.004
|
23.812
|
21.913
|
20.259
|
18.810
|
17.535
|
16.409
|
15.408
|
14.515
|
13.716
|
12.997
|
12.349
|
11.761
|
11.227
|
10.739
|
10.294
|
31
|
28.081
|
25.618
|
23.491
|
21.643
|
20.031
|
18.616
|
17.370
|
16.266
|
15.284
|
14.408
|
13.622
|
12.914
|
12.275
|
11.695
|
11.168
|
10.687
|
10.246
|
32
|
27.635
|
25.249
|
23.183
|
21.385
|
19.813
|
18.431
|
17.212
|
16.131
|
15.167
|
14.306
|
13.533
|
12.836
|
12.206
|
11.634
|
11.113
|
10.638
|
10.202
|
33
|
27.070
|
24.772
|
22.778
|
21.039
|
19.515
|
18.174
|
16.988
|
15.935
|
14.995
|
14.154
|
13.398
|
12.715
|
12.097
|
11.536
|
11.025
|
10.557
|
10.128
|
34
|
26.599
|
24.378
|
22.446
|
20.758
|
19.276
|
17.968
|
16.811
|
15.781
|
14.861
|
14.036
|
13.294
|
12.623
|
12.016
|
11.463
|
10.959
|
10.497
|
10.074
|
35
|
26.019
|
23.884
|
22.023
|
20.393
|
18.960
|
17.694
|
16.570
|
15.569
|
14.673
|
13.869
|
13.144
|
12.489
|
11.894
|
11.353
|
10.859
|
10.406
|
9.990
|
36
|
25.571
|
23.508
|
21.706
|
20.125
|
18.731
|
17.497
|
16.401
|
15.423
|
14.546
|
13.758
|
13.047
|
12.403
|
11.818
|
11.285
|
10.798
|
10.352
|
9.941
|
37
|
24.925
|
22.951
|
21.223
|
19.704
|
18.362
|
17.172
|
16.113
|
15.166
|
14.316
|
13.551
|
12.860
|
12.234
|
11.664
|
11.144
|
10.668
|
10.232
|
9.831
|
38
|
24.411
|
22.513
|
20.847
|
19.379
|
18.080
|
16.926
|
15.898
|
14.976
|
14.149
|
13.402
|
12.727
|
12.115
|
11.557
|
11.047
|
10.580
|
10.152
|
9.757
|
39
|
24.031
|
22.194
|
20.579
|
19.152
|
17.888
|
16.763
|
15.758
|
14.856
|
14.045
|
13.313
|
12.650
|
12.047
|
11.498
|
10.995
|
10.535
|
10.112
|
9.722
|
40
|
23.464
|
21.704
|
20.153
|
18.781
|
17.562
|
16.475
|
15.503
|
14.629
|
13.842
|
13.131
|
12.485
|
11.898
|
11.362
|
10.872
|
10.421
|
10.007
|
9.625
|
41
|
22.866
|
21.184
|
19.699
|
18.382
|
17.209
|
16.163
|
15.224
|
14.380
|
13.618
|
12.928
|
12.301
|
11.730
|
11.209
|
10.731
|
10.292
|
9.888
|
9.515
|
42
|
22.342
|
20.730
|
19.303
|
18.036
|
16.905
|
15.894
|
14.986
|
14.167
|
13.428
|
12.757
|
12.147
|
11.590
|
11.082
|
10.615
|
10.186
|
9.790
|
9.424
|
43
|
21.876
|
20.328
|
18.955
|
17.732
|
16.640
|
15.661
|
14.780
|
13.985
|
13.266
|
12.613
|
12.018
|
11.474
|
10.977
|
10.520
|
10.099
|
9.711
|
9.352
|
44
|
21.340
|
19.860
|
18.545
|
17.372
|
16.322
|
15.379
|
14.529
|
13.761
|
13.064
|
12.431
|
11.853
|
11.325
|
10.841
|
10.396
|
9.986
|
9.607
|
9.256
|
45
|
20.791
|
19.379
|
18.122
|
16.998
|
15.991
|
15.084
|
14.265
|
13.524
|
12.851
|
12.238
|
11.678
|
11.166
|
10.696
|
10.263
|
9.863
|
9.494
|
9.152
|
46
|
20.219
|
18.875
|
17.676
|
16.602
|
15.636
|
14.766
|
13.979
|
13.266
|
12.617
|
12.025
|
11.484
|
10.987
|
10.531
|
10.111
|
9.723
|
9.364
|
9.031
|
47
|
19.688
|
18.408
|
17.262
|
16.233
|
15.307
|
14.471
|
13.714
|
13.026
|
12.399
|
11.827
|
11.303
|
10.822
|
10.379
|
9.971
|
9.593
|
9.244
|
8.919
|
48
|
19.167
|
17.947
|
16.854
|
15.871
|
14.985
|
14.182
|
13.454
|
12.792
|
12.188
|
11.635
|
11.128
|
10.662
|
10.233
|
9.837
|
9.470
|
9.130
|
8.814
|
49
|
18.801
|
17.630
|
16.578
|
15.630
|
14.773
|
13.996
|
13.290
|
12.647
|
12.059
|
11.521
|
11.027
|
10.572
|
10.152
|
9.764
|
9.405
|
9.071
|
8.760
|
50
|
18.825
|
17.673
|
16.636
|
15.700
|
14.852
|
14.082
|
13.381
|
12.742
|
12.157
|
11.620
|
11.126
|
10.672
|
10.252
|
9.863
|
9.503
|
9.168
|
8.856
|
51
|
18.056
|
16.978
|
16.006
|
15.127
|
14.330
|
13.604
|
12.942
|
12.338
|
11.783
|
11.274
|
10.805
|
10.372
|
9.972
|
9.602
|
9.257
|
8.937
|
8.639
|
52
|
17.592
|
16.566
|
15.638
|
14.798
|
14.034
|
13.338
|
12.702
|
12.119
|
11.585
|
11.093
|
10.640
|
10.221
|
9.833
|
9.473
|
9.139
|
8.827
|
8.537
|
53
|
17.047
|
16.078
|
15.200
|
14.403
|
13.677
|
13.014
|
12.407
|
11.851
|
11.339
|
10.868
|
10.432
|
10.030
|
9.656
|
9.310
|
8.987
|
8.686
|
8.405
|
54
|
16.641
|
15.717
|
14.878
|
14.115
|
13.418
|
12.781
|
12.197
|
11.661
|
11.167
|
10.711
|
10.290
|
9.899
|
9.537
|
9.200
|
8.886
|
8.593
|
8.319
|
55
|
16.559
|
15.658
|
14.838
|
14.091
|
13.408
|
12.782
|
12.208
|
11.679
|
11.191
|
10.741
|
10.324
|
9.937
|
9.578
|
9.243
|
8.931
|
8.640
|
8.367
|
56
|
15.861
|
15.022
|
14.258
|
13.559
|
12.919
|
12.332
|
11.792
|
11.294
|
10.834
|
10.409
|
10.014
|
9.648
|
9.307
|
8.989
|
8.692
|
8.415
|
8.155
|
57
|
15.355
|
14.564
|
13.842
|
13.181
|
12.575
|
12.017
|
11.504
|
11.029
|
10.590
|
10.184
|
9.806
|
9.455
|
9.128
|
8.822
|
8.537
|
8.269
|
8.018
|
58
|
14.911
|
14.163
|
13.479
|
12.852
|
12.275
|
11.743
|
11.253
|
10.799
|
10.379
|
9.989
|
9.626
|
9.288
|
8.973
|
8.678
|
8.403
|
8.144
|
7.901
|
59
|
14.394
|
13.692
|
13.048
|
12.457
|
11.912
|
11.409
|
10.944
|
10.513
|
10.114
|
9.742
|
9.397
|
9.074
|
8.773
|
8.491
|
8.226
|
7.978
|
7.745
|
60
|
13.991
|
13.327
|
12.718
|
12.156
|
11.638
|
11.159
|
10.716
|
10.304
|
9.922
|
9.566
|
9.234
|
8.924
|
8.634
|
8.362
|
8.107
|
7.867
|
7.642
|
61
|
13.231
|
12.625
|
12.067
|
11.552
|
11.075
|
10.634
|
10.225
|
9.845
|
9.491
|
9.160
|
8.852
|
8.564
|
8.293
|
8.040
|
7.802
|
7.578
|
7.366
|
62
|
12.629
|
12.070
|
11.554
|
11.077
|
10.635
|
10.225
|
9.844
|
9.489
|
9.158
|
8.849
|
8.560
|
8.289
|
8.035
|
7.796
|
7.572
|
7.360
|
7.161
|
63
|
11.741
|
11.242
|
10.780
|
10.353
|
9.956
|
9.586
|
9.243
|
8.922
|
8.622
|
8.342
|
8.080
|
7.833
|
7.602
|
7.384
|
7.179
|
6.985
|
6.803
|
64
|
10.969
|
10.521
|
10.106
|
9.720
|
9.362
|
9.028
|
8.716
|
8.425
|
8.153
|
7.897
|
7.658
|
7.432
|
7.221
|
7.021
|
6.833
|
6.655
|
6.486
|
1Present value of annual payments of $1 payable at the beginning of each year, starting with the year of entitlement and continuing thereafter for the life of the annuitant. Receipt of payment is contingent upon survival to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in tables 8B and 8C. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
35.764
|
31.771
|
28.435
|
25.627
|
23.246
|
21.211
|
19.461
|
17.946
|
16.625
|
15.468
|
14.448
|
13.543
|
12.738
|
12.017
|
11.368
|
10.783
|
10.252
|
17
|
34.902
|
31.054
|
27.832
|
25.113
|
22.803
|
20.827
|
19.124
|
17.647
|
16.359
|
15.229
|
14.231
|
13.346
|
12.557
|
11.850
|
11.214
|
10.639
|
10.117
|
18
|
34.016
|
30.313
|
27.205
|
24.577
|
22.341
|
20.423
|
18.769
|
17.332
|
16.078
|
14.975
|
14.001
|
13.136
|
12.364
|
11.672
|
11.049
|
10.486
|
9.974
|
19
|
33.316
|
29.734
|
26.721
|
24.168
|
21.991
|
20.122
|
18.506
|
17.102
|
15.873
|
14.792
|
13.836
|
12.987
|
12.228
|
11.547
|
10.934
|
10.379
|
9.875
|
20
|
32.771
|
29.292
|
26.359
|
23.870
|
21.743
|
19.913
|
18.329
|
16.950
|
15.742
|
14.678
|
13.737
|
12.899
|
12.150
|
11.477
|
10.871
|
10.322
|
9.823
|
21
|
32.478
|
29.072
|
26.194
|
23.747
|
21.651
|
19.846
|
18.281
|
16.916
|
15.719
|
14.663
|
13.728
|
12.895
|
12.150
|
11.480
|
10.876
|
10.328
|
9.830
|
22
|
32.049
|
28.730
|
25.921
|
23.526
|
21.472
|
19.699
|
18.159
|
16.815
|
15.634
|
14.592
|
13.667
|
12.843
|
12.105
|
11.441
|
10.842
|
10.298
|
9.804
|
23
|
31.454
|
28.241
|
25.515
|
23.186
|
21.185
|
19.455
|
17.950
|
16.634
|
15.477
|
14.454
|
13.545
|
12.734
|
12.008
|
11.353
|
10.762
|
10.226
|
9.738
|
24
|
30.699
|
27.609
|
24.980
|
22.730
|
20.793
|
19.115
|
17.653
|
16.372
|
15.245
|
14.247
|
13.360
|
12.567
|
11.855
|
11.215
|
10.635
|
10.109
|
9.629
|
25
|
30.035
|
27.054
|
24.513
|
22.334
|
20.454
|
18.822
|
17.398
|
16.149
|
15.048
|
14.072
|
13.203
|
12.426
|
11.728
|
11.098
|
10.529
|
10.011
|
9.539
|
26
|
29.502
|
26.615
|
24.148
|
22.028
|
20.196
|
18.603
|
17.210
|
15.987
|
14.907
|
13.948
|
13.094
|
12.329
|
11.642
|
11.021
|
10.459
|
9.948
|
9.482
|
27
|
28.978
|
26.182
|
23.788
|
21.726
|
19.940
|
18.385
|
17.023
|
15.825
|
14.766
|
13.824
|
12.985
|
12.232
|
11.555
|
10.943
|
10.388
|
9.883
|
9.422
|
28
|
28.629
|
25.906
|
23.568
|
21.551
|
19.801
|
18.274
|
16.935
|
15.755
|
14.710
|
13.780
|
12.950
|
12.205
|
11.534
|
10.927
|
10.376
|
9.875
|
9.417
|
29
|
28.075
|
25.444
|
23.182
|
21.225
|
19.523
|
18.036
|
16.730
|
15.577
|
14.555
|
13.644
|
12.830
|
12.098
|
11.439
|
10.842
|
10.299
|
9.805
|
9.353
|
30
|
27.546
|
25.004
|
22.812
|
20.913
|
19.259
|
17.810
|
16.535
|
15.409
|
14.408
|
13.515
|
12.716
|
11.997
|
11.349
|
10.761
|
10.227
|
9.739
|
9.294
|
31
|
27.081
|
24.618
|
22.491
|
20.643
|
19.031
|
17.616
|
16.370
|
15.266
|
14.284
|
13.408
|
12.622
|
11.914
|
11.275
|
10.695
|
10.168
|
9.687
|
9.246
|
32
|
26.635
|
24.249
|
22.183
|
20.385
|
18.813
|
17.431
|
16.212
|
15.131
|
14.167
|
13.306
|
12.533
|
11.836
|
11.206
|
10.634
|
10.113
|
9.638
|
9.202
|
33
|
26.070
|
23.772
|
21.778
|
20.039
|
18.515
|
17.174
|
15.988
|
14.935
|
13.995
|
13.154
|
12.398
|
11.715
|
11.097
|
10.536
|
10.025
|
9.557
|
9.128
|
34
|
25.599
|
23.378
|
21.446
|
19.758
|
18.276
|
16.968
|
15.811
|
14.781
|
13.861
|
13.036
|
12.294
|
11.623
|
11.016
|
10.463
|
9.959
|
9.497
|
9.074
|
35
|
25.019
|
22.884
|
21.023
|
19.393
|
17.960
|
16.694
|
15.570
|
14.569
|
13.673
|
12.869
|
12.144
|
11.489
|
10.894
|
10.353
|
9.859
|
9.406
|
8.990
|
36
|
24.571
|
22.508
|
20.706
|
19.125
|
17.731
|
16.497
|
15.401
|
14.423
|
13.546
|
12.758
|
12.047
|
11.403
|
10.818
|
10.285
|
9.798
|
9.352
|
8.941
|
37
|
23.925
|
21.951
|
20.223
|
18.704
|
17.362
|
16.172
|
15.113
|
14.166
|
13.316
|
12.551
|
11.860
|
11.234
|
10.664
|
10.144
|
9.668
|
9.232
|
8.831
|
38
|
23.411
|
21.513
|
19.847
|
18.379
|
17.080
|
15.926
|
14.898
|
13.976
|
13.149
|
12.402
|
11.727
|
11.115
|
10.557
|
10.047
|
9.580
|
9.152
|
8.757
|
39
|
23.031
|
21.194
|
19.579
|
18.152
|
16.888
|
15.763
|
14.758
|
13.856
|
13.045
|
12.313
|
11.650
|
11.047
|
10.498
|
9.995
|
9.535
|
9.112
|
8.722
|
40
|
22.464
|
20.704
|
19.153
|
17.781
|
16.562
|
15.475
|
14.503
|
13.629
|
12.842
|
12.131
|
11.485
|
10.898
|
10.362
|
9.872
|
9.421
|
9.007
|
8.625
|
41
|
21.866
|
20.184
|
18.699
|
17.382
|
16.209
|
15.163
|
14.224
|
13.380
|
12.618
|
11.928
|
11.301
|
10.730
|
10.209
|
9.731
|
9.292
|
8.888
|
8.515
|
42
|
21.342
|
19.730
|
18.303
|
17.036
|
15.905
|
14.894
|
13.986
|
13.167
|
12.428
|
11.757
|
11.147
|
10.590
|
10.082
|
9.615
|
9.186
|
8.790
|
8.424
|
43
|
20.876
|
19.328
|
17.955
|
16.732
|
15.640
|
14.661
|
13.780
|
12.985
|
12.266
|
11.613
|
11.018
|
10.474
|
9.977
|
9.520
|
9.099
|
8.711
|
8.352
|
44
|
20.340
|
18.860
|
17.545
|
16.372
|
15.322
|
14.379
|
13.529
|
12.761
|
12.064
|
11.431
|
10.853
|
10.325
|
9.841
|
9.396
|
8.986
|
8.607
|
8.256
|
45
|
19.791
|
18.379
|
17.122
|
15.998
|
14.991
|
14.084
|
13.265
|
12.524
|
11.851
|
11.238
|
10.678
|
10.166
|
9.696
|
9.263
|
8.863
|
8.494
|
8.152
|
46
|
19.219
|
17.875
|
16.676
|
15.602
|
14.636
|
13.766
|
12.979
|
12.266
|
11.617
|
11.025
|
10.484
|
9.987
|
9.531
|
9.111
|
8.723
|
8.364
|
8.031
|
47
|
18.688
|
17.408
|
16.262
|
15.233
|
14.307
|
13.471
|
12.714
|
12.026
|
11.399
|
10.827
|
10.303
|
9.822
|
9.379
|
8.971
|
8.593
|
8.244
|
7.919
|
48
|
18.167
|
16.947
|
15.854
|
14.871
|
13.985
|
13.182
|
12.454
|
11.792
|
11.188
|
10.635
|
10.128
|
9.662
|
9.233
|
8.837
|
8.470
|
8.130
|
7.814
|
49
|
17.801
|
16.630
|
15.578
|
14.630
|
13.773
|
12.996
|
12.290
|
11.647
|
11.059
|
10.521
|
10.027
|
9.572
|
9.152
|
8.764
|
8.405
|
8.071
|
7.760
|
50
|
17.825
|
16.673
|
15.636
|
14.700
|
13.852
|
13.082
|
12.381
|
11.742
|
11.157
|
10.620
|
10.126
|
9.672
|
9.252
|
8.863
|
8.503
|
8.168
|
7.856
|
51
|
17.056
|
15.978
|
15.006
|
14.127
|
13.330
|
12.604
|
11.942
|
11.338
|
10.783
|
10.274
|
9.805
|
9.372
|
8.972
|
8.602
|
8.257
|
7.937
|
7.639
|
52
|
16.592
|
15.566
|
14.638
|
13.798
|
13.034
|
12.338
|
11.702
|
11.119
|
10.585
|
10.093
|
9.640
|
9.221
|
8.833
|
8.473
|
8.139
|
7.827
|
7.537
|
53
|
16.047
|
15.078
|
14.200
|
13.403
|
12.677
|
12.014
|
11.407
|
10.851
|
10.339
|
9.868
|
9.432
|
9.030
|
8.656
|
8.310
|
7.987
|
7.686
|
7.405
|
54
|
15.641
|
14.717
|
13.878
|
13.115
|
12.418
|
11.781
|
11.197
|
10.661
|
10.167
|
9.711
|
9.290
|
8.899
|
8.537
|
8.200
|
7.886
|
7.593
|
7.319
|
55
|
15.559
|
14.658
|
13.838
|
13.091
|
12.408
|
11.782
|
11.208
|
10.679
|
10.191
|
9.741
|
9.324
|
8.937
|
8.578
|
8.243
|
7.931
|
7.640
|
7.367
|
56
|
14.861
|
14.022
|
13.258
|
12.559
|
11.919
|
11.332
|
10.792
|
10.294
|
9.834
|
9.409
|
9.014
|
8.648
|
8.307
|
7.989
|
7.692
|
7.415
|
7.155
|
57
|
14.355
|
13.564
|
12.842
|
12.181
|
11.575
|
11.017
|
10.504
|
10.029
|
9.590
|
9.184
|
8.806
|
8.455
|
8.128
|
7.822
|
7.537
|
7.269
|
7.018
|
58
|
13.911
|
13.163
|
12.479
|
11.852
|
11.275
|
10.743
|
10.253
|
9.799
|
9.379
|
8.989
|
8.626
|
8.288
|
7.973
|
7.678
|
7.403
|
7.144
|
6.901
|
59
|
13.394
|
12.692
|
12.048
|
11.457
|
10.912
|
10.409
|
9.944
|
9.513
|
9.114
|
8.742
|
8.397
|
8.074
|
7.773
|
7.491
|
7.226
|
6.978
|
6.745
|
60
|
12.991
|
12.327
|
11.718
|
11.156
|
10.638
|
10.159
|
9.716
|
9.304
|
8.922
|
8.566
|
8.234
|
7.924
|
7.634
|
7.362
|
7.107
|
6.867
|
6.642
|
61
|
12.231
|
11.625
|
11.067
|
10.552
|
10.075
|
9.634
|
9.225
|
8.845
|
8.491
|
8.160
|
7.852
|
7.564
|
7.293
|
7.040
|
6.802
|
6.578
|
6.366
|
62
|
11.629
|
11.070
|
10.554
|
10.077
|
9.635
|
9.225
|
8.844
|
8.489
|
8.158
|
7.849
|
7.560
|
7.289
|
7.035
|
6.796
|
6.572
|
6.360
|
6.161
|
63
|
10.741
|
10.242
|
9.780
|
9.353
|
8.956
|
8.586
|
8.243
|
7.922
|
7.622
|
7.342
|
7.080
|
6.833
|
6.602
|
6.384
|
6.179
|
5.985
|
5.803
|
64
|
9.969
|
9.521
|
9.106
|
8.720
|
8.362
|
8.028
|
7.716
|
7.425
|
7.153
|
6.897
|
6.658
|
6.432
|
6.221
|
6.021
|
5.833
|
5.655
|
5.486
|
1Present value of annual payments of $1 payable at the end of each year, starting with the year of entitlement and continuing thereafter for the life of the annuitant. Receipt of payment is contingent upon survival to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in tables 8B and 8C. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
435.648
|
387.731
|
347.698
|
313.994
|
285.408
|
260.988
|
239.982
|
221.794
|
205.946
|
192.054
|
179.807
|
168.952
|
159.280
|
150.622
|
142.836
|
135.804
|
129.426
|
17
|
425.313
|
379.125
|
340.451
|
307.825
|
280.100
|
256.375
|
235.936
|
218.213
|
202.750
|
189.181
|
177.205
|
166.580
|
157.107
|
148.619
|
140.981
|
134.078
|
127.815
|
18
|
414.679
|
370.230
|
332.928
|
301.396
|
274.549
|
251.537
|
231.680
|
214.437
|
199.374
|
186.139
|
174.447
|
164.064
|
154.797
|
146.489
|
139.007
|
132.241
|
126.099
|
19
|
406.279
|
363.281
|
327.118
|
296.484
|
270.355
|
247.918
|
228.528
|
211.666
|
196.918
|
183.944
|
172.470
|
162.271
|
153.162
|
144.988
|
137.622
|
130.957
|
124.903
|
20
|
399.731
|
357.976
|
322.780
|
292.904
|
267.373
|
245.411
|
226.401
|
209.847
|
195.348
|
182.578
|
171.273
|
161.213
|
152.221
|
144.146
|
136.863
|
130.269
|
124.276
|
21
|
396.215
|
355.335
|
320.800
|
291.425
|
266.275
|
244.605
|
225.817
|
209.434
|
195.065
|
182.396
|
171.167
|
161.167
|
152.220
|
144.179
|
136.922
|
130.348
|
124.369
|
22
|
391.070
|
351.241
|
317.518
|
288.776
|
264.121
|
242.840
|
224.361
|
208.223
|
194.051
|
181.540
|
170.440
|
160.545
|
151.683
|
143.713
|
136.515
|
129.989
|
124.051
|
23
|
383.931
|
345.370
|
312.649
|
284.702
|
260.683
|
239.915
|
221.851
|
206.052
|
192.159
|
179.879
|
168.972
|
159.238
|
150.513
|
142.658
|
135.559
|
129.119
|
123.255
|
24
|
374.875
|
337.780
|
306.231
|
279.229
|
255.977
|
235.834
|
218.286
|
202.915
|
189.379
|
177.399
|
166.745
|
157.227
|
148.687
|
140.992
|
134.032
|
127.713
|
121.955
|
25
|
366.907
|
331.128
|
300.629
|
274.472
|
251.903
|
232.318
|
215.227
|
200.234
|
187.012
|
175.295
|
164.863
|
155.533
|
147.154
|
139.597
|
132.756
|
126.540
|
120.873
|
26
|
360.506
|
325.852
|
296.247
|
270.803
|
248.807
|
229.686
|
212.973
|
198.288
|
185.321
|
173.815
|
163.559
|
154.377
|
146.123
|
138.672
|
131.921
|
125.783
|
120.183
|
27
|
354.222
|
320.659
|
291.922
|
267.173
|
245.737
|
227.069
|
210.725
|
196.343
|
183.626
|
172.327
|
162.244
|
153.208
|
145.076
|
137.729
|
131.067
|
125.005
|
119.471
|
28
|
350.036
|
317.344
|
289.290
|
265.080
|
244.070
|
225.741
|
209.667
|
195.501
|
182.957
|
171.798
|
161.828
|
152.883
|
144.825
|
137.539
|
130.927
|
124.905
|
119.404
|
29
|
343.388
|
311.810
|
284.651
|
261.163
|
240.740
|
222.891
|
207.212
|
193.372
|
181.099
|
170.167
|
160.388
|
151.604
|
143.683
|
136.514
|
130.002
|
124.067
|
118.641
|
30
|
337.037
|
306.521
|
280.217
|
257.421
|
237.561
|
220.172
|
204.872
|
191.345
|
179.333
|
168.619
|
159.022
|
150.393
|
142.603
|
135.546
|
129.131
|
123.279
|
117.924
|
31
|
331.452
|
301.893
|
276.357
|
254.182
|
234.826
|
217.848
|
202.884
|
189.634
|
177.852
|
167.328
|
157.892
|
149.396
|
141.720
|
134.759
|
128.425
|
122.644
|
117.350
|
32
|
326.099
|
297.458
|
272.661
|
251.083
|
232.212
|
215.629
|
200.990
|
188.009
|
176.448
|
166.109
|
156.826
|
148.461
|
140.894
|
134.025
|
127.771
|
122.056
|
116.821
|
33
|
319.321
|
291.737
|
267.802
|
246.930
|
228.641
|
212.540
|
198.303
|
185.657
|
174.378
|
164.278
|
155.198
|
147.006
|
139.588
|
132.847
|
126.704
|
121.086
|
115.934
|
34
|
313.676
|
287.009
|
263.819
|
243.555
|
225.764
|
210.074
|
196.176
|
183.813
|
172.770
|
162.868
|
153.956
|
145.905
|
138.607
|
131.969
|
125.914
|
120.372
|
115.286
|
35
|
306.716
|
281.085
|
258.746
|
239.185
|
221.978
|
206.775
|
193.285
|
181.266
|
170.515
|
160.861
|
152.160
|
144.291
|
137.150
|
130.649
|
124.712
|
119.274
|
114.280
|
36
|
301.340
|
276.573
|
254.940
|
235.958
|
219.228
|
204.419
|
191.257
|
179.512
|
168.990
|
159.529
|
150.991
|
143.260
|
136.237
|
129.837
|
123.987
|
118.624
|
113.693
|
37
|
293.586
|
269.890
|
249.147
|
230.907
|
214.799
|
200.515
|
187.797
|
176.430
|
166.231
|
157.047
|
148.749
|
141.225
|
134.383
|
128.140
|
122.429
|
117.187
|
112.365
|
38
|
287.419
|
264.626
|
244.629
|
227.009
|
211.419
|
197.569
|
185.216
|
174.157
|
164.220
|
155.260
|
147.154
|
139.795
|
133.095
|
126.976
|
121.372
|
116.224
|
111.485
|
39
|
282.861
|
260.805
|
241.413
|
224.291
|
209.113
|
195.605
|
183.537
|
172.716
|
162.978
|
154.186
|
146.222
|
138.984
|
132.386
|
126.354
|
120.824
|
115.741
|
111.057
|
40
|
276.050
|
254.921
|
236.303
|
219.830
|
205.199
|
192.153
|
180.478
|
169.993
|
160.543
|
151.999
|
144.248
|
137.195
|
130.759
|
124.868
|
119.463
|
114.489
|
109.901
|
41
|
268.879
|
248.685
|
230.851
|
215.041
|
200.969
|
188.400
|
177.132
|
166.996
|
157.847
|
149.563
|
142.038
|
135.183
|
128.919
|
123.180
|
117.908
|
113.052
|
108.570
|
42
|
262.592
|
243.236
|
226.106
|
210.888
|
197.318
|
185.175
|
174.271
|
164.445
|
155.564
|
147.511
|
140.186
|
133.504
|
127.392
|
121.787
|
116.632
|
111.880
|
107.489
|
43
|
256.999
|
238.410
|
221.923
|
207.246
|
194.134
|
182.379
|
171.805
|
162.262
|
153.623
|
145.778
|
138.634
|
132.108
|
126.132
|
120.645
|
115.594
|
110.934
|
106.623
|
44
|
250.564
|
232.800
|
217.010
|
202.925
|
190.317
|
178.994
|
168.790
|
159.566
|
151.203
|
143.597
|
136.661
|
130.318
|
124.502
|
119.156
|
114.229
|
109.679
|
105.466
|
45
|
243.970
|
227.026
|
211.933
|
198.442
|
186.342
|
175.454
|
165.625
|
156.726
|
148.645
|
141.285
|
134.564
|
128.409
|
122.759
|
117.559
|
112.762
|
108.327
|
104.216
|
46
|
237.111
|
220.980
|
206.579
|
193.681
|
182.090
|
171.641
|
162.193
|
153.625
|
145.832
|
138.724
|
132.224
|
126.264
|
120.786
|
115.739
|
111.078
|
106.764
|
102.763
|
47
|
230.743
|
215.364
|
201.606
|
189.259
|
178.141
|
168.101
|
159.007
|
150.747
|
143.222
|
136.349
|
130.055
|
124.277
|
118.960
|
114.056
|
109.522
|
105.321
|
101.420
|
48
|
224.483
|
209.844
|
196.719
|
184.916
|
174.268
|
164.635
|
155.893
|
147.940
|
140.683
|
134.046
|
127.959
|
122.364
|
117.208
|
112.447
|
108.040
|
103.953
|
100.154
|
49
|
220.098
|
206.036
|
193.403
|
182.019
|
171.730
|
162.404
|
153.927
|
146.202
|
139.144
|
132.678
|
126.740
|
121.275
|
116.234
|
111.572
|
107.254
|
103.244
|
99.514
|
50
|
220.385
|
206.552
|
194.099
|
182.856
|
172.676
|
163.433
|
155.019
|
147.338
|
140.311
|
133.865
|
127.938
|
122.476
|
117.432
|
112.764
|
108.434
|
104.411
|
100.665
|
51
|
211.149
|
198.213
|
186.544
|
175.986
|
166.408
|
157.696
|
149.750
|
142.486
|
135.828
|
129.712
|
124.080
|
118.883
|
114.077
|
109.624
|
105.488
|
101.642
|
98.056
|
52
|
205.581
|
193.263
|
182.128
|
172.034
|
162.859
|
154.498
|
146.860
|
139.866
|
133.446
|
127.539
|
122.093
|
117.061
|
112.401
|
108.079
|
104.060
|
100.318
|
96.827
|
53
|
199.047
|
187.411
|
176.869
|
167.293
|
158.572
|
150.611
|
143.325
|
136.641
|
130.496
|
124.835
|
119.607
|
114.770
|
110.285
|
106.119
|
102.242
|
98.627
|
95.251
|
54
|
194.178
|
183.081
|
173.007
|
163.838
|
155.473
|
147.822
|
140.808
|
134.365
|
128.431
|
122.956
|
117.894
|
113.204
|
108.850
|
104.801
|
101.028
|
97.507
|
94.215
|
55
|
193.186
|
182.366
|
172.524
|
163.549
|
155.346
|
147.831
|
140.930
|
134.580
|
128.725
|
123.315
|
118.306
|
113.659
|
109.341
|
105.320
|
101.570
|
98.066
|
94.788
|
56
|
184.815
|
174.741
|
165.558
|
157.167
|
149.483
|
142.430
|
135.943
|
129.963
|
124.440
|
119.329
|
114.590
|
110.187
|
106.091
|
102.271
|
98.704
|
95.368
|
92.243
|
57
|
178.739
|
169.246
|
160.575
|
152.636
|
145.351
|
138.653
|
132.482
|
126.783
|
121.512
|
116.626
|
112.089
|
107.869
|
103.936
|
100.266
|
96.834
|
93.620
|
90.606
|
58
|
173.415
|
164.435
|
156.216
|
148.677
|
141.746
|
135.362
|
129.469
|
124.020
|
118.970
|
114.284
|
109.925
|
105.866
|
102.078
|
98.538
|
95.224
|
92.117
|
89.201
|
59
|
167.211
|
158.779
|
151.046
|
143.938
|
137.392
|
131.351
|
125.766
|
120.592
|
115.792
|
111.329
|
107.173
|
103.296
|
99.674
|
96.285
|
93.109
|
90.128
|
87.327
|
60
|
162.373
|
154.403
|
147.079
|
140.334
|
134.110
|
128.356
|
123.027
|
118.083
|
113.488
|
109.210
|
105.220
|
101.493
|
98.007
|
94.740
|
91.675
|
88.795
|
86.086
|
61
|
153.255
|
145.973
|
139.266
|
133.077
|
127.355
|
122.055
|
117.137
|
112.566
|
108.311
|
104.343
|
100.636
|
97.169
|
93.920
|
90.873
|
88.009
|
85.315
|
82.777
|
62
|
146.029
|
139.312
|
133.112
|
127.380
|
122.070
|
117.142
|
112.562
|
108.297
|
104.320
|
100.605
|
97.130
|
93.874
|
90.819
|
87.949
|
85.249
|
82.705
|
80.306
|
63
|
135.377
|
129.378
|
123.830
|
118.689
|
113.916
|
109.479
|
105.347
|
101.493
|
97.892
|
94.522
|
91.365
|
88.403
|
85.620
|
83.000
|
80.533
|
78.205
|
76.007
|
64
|
126.108
|
120.724
|
115.734
|
111.100
|
106.790
|
102.775
|
99.029
|
95.529
|
92.253
|
89.182
|
86.300
|
83.592
|
81.043
|
78.641
|
76.375
|
74.234
|
72.210
|
1Present value of monthly payments of $1 payable at the beginning of each month, starting with the year of entitlement and continuing thereafter for the life of the annuitant. Receipt of payment is contingent upon survival to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in tables 8B and 8C. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
434.648
|
386.731
|
346.698
|
312.994
|
284.408
|
259.988
|
238.982
|
220.794
|
204.946
|
191.054
|
178.807
|
167.952
|
158.280
|
149.622
|
141.836
|
134.804
|
128.426
|
17
|
424.313
|
378.125
|
339.451
|
306.825
|
279.100
|
255.375
|
234.936
|
217.213
|
201.750
|
188.181
|
176.205
|
165.580
|
156.107
|
147.619
|
139.981
|
133.078
|
126.815
|
18
|
413.679
|
369.230
|
331.928
|
300.396
|
273.549
|
250.537
|
230.680
|
213.437
|
198.374
|
185.139
|
173.447
|
163.064
|
153.797
|
145.489
|
138.007
|
131.241
|
125.099
|
19
|
405.279
|
362.281
|
326.118
|
295.484
|
269.355
|
246.918
|
227.528
|
210.666
|
195.918
|
182.944
|
171.470
|
161.271
|
152.162
|
143.988
|
136.622
|
129.957
|
123.903
|
20
|
398.731
|
356.976
|
321.780
|
291.904
|
266.373
|
244.411
|
225.401
|
208.847
|
194.348
|
181.578
|
170.273
|
160.213
|
151.221
|
143.146
|
135.863
|
129.269
|
123.276
|
21
|
395.215
|
354.335
|
319.800
|
290.425
|
265.275
|
243.605
|
224.817
|
208.434
|
194.065
|
181.396
|
170.167
|
160.167
|
151.220
|
143.179
|
135.922
|
129.348
|
123.369
|
22
|
390.070
|
350.241
|
316.518
|
287.776
|
263.121
|
241.840
|
223.361
|
207.223
|
193.051
|
180.540
|
169.440
|
159.545
|
150.683
|
142.713
|
135.515
|
128.989
|
123.051
|
23
|
382.931
|
344.370
|
311.649
|
283.702
|
259.683
|
238.915
|
220.851
|
205.052
|
191.159
|
178.879
|
167.972
|
158.238
|
149.513
|
141.658
|
134.559
|
128.119
|
122.255
|
24
|
373.875
|
336.780
|
305.231
|
278.229
|
254.977
|
234.834
|
217.286
|
201.915
|
188.379
|
176.399
|
165.745
|
156.227
|
147.687
|
139.992
|
133.032
|
126.713
|
120.955
|
25
|
365.907
|
330.128
|
299.629
|
273.472
|
250.903
|
231.318
|
214.227
|
199.234
|
186.012
|
174.295
|
163.863
|
154.533
|
146.154
|
138.597
|
131.756
|
125.540
|
119.873
|
26
|
359.506
|
324.852
|
295.247
|
269.803
|
247.807
|
228.686
|
211.973
|
197.288
|
184.321
|
172.815
|
162.559
|
153.377
|
145.123
|
137.672
|
130.921
|
124.783
|
119.183
|
27
|
353.222
|
319.659
|
290.922
|
266.173
|
244.737
|
226.069
|
209.725
|
195.343
|
182.626
|
171.327
|
161.244
|
152.208
|
144.076
|
136.729
|
130.067
|
124.005
|
118.471
|
28
|
349.036
|
316.344
|
288.290
|
264.080
|
243.070
|
224.741
|
208.667
|
194.501
|
181.957
|
170.798
|
160.828
|
151.883
|
143.825
|
136.539
|
129.927
|
123.905
|
118.404
|
29
|
342.388
|
310.810
|
283.651
|
260.163
|
239.740
|
221.891
|
206.212
|
192.372
|
180.099
|
169.167
|
159.388
|
150.604
|
142.683
|
135.514
|
129.002
|
123.067
|
117.641
|
30
|
336.037
|
305.521
|
279.217
|
256.421
|
236.561
|
219.172
|
203.872
|
190.345
|
178.333
|
167.619
|
158.022
|
149.393
|
141.603
|
134.546
|
128.131
|
122.279
|
116.924
|
31
|
330.452
|
300.893
|
275.357
|
253.182
|
233.826
|
216.848
|
201.884
|
188.634
|
176.852
|
166.328
|
156.892
|
148.396
|
140.720
|
133.759
|
127.425
|
121.644
|
116.350
|
32
|
325.099
|
296.458
|
271.661
|
250.083
|
231.212
|
214.629
|
199.990
|
187.009
|
175.448
|
165.109
|
155.826
|
147.461
|
139.894
|
133.025
|
126.771
|
121.056
|
115.821
|
33
|
318.321
|
290.737
|
266.802
|
245.930
|
227.641
|
211.540
|
197.303
|
184.657
|
173.378
|
163.278
|
154.198
|
146.006
|
138.588
|
131.847
|
125.704
|
120.086
|
114.934
|
34
|
312.676
|
286.009
|
262.819
|
242.555
|
224.764
|
209.074
|
195.176
|
182.813
|
171.770
|
161.868
|
152.956
|
144.905
|
137.607
|
130.969
|
124.914
|
119.372
|
114.286
|
35
|
305.716
|
280.085
|
257.746
|
238.185
|
220.978
|
205.775
|
192.285
|
180.266
|
169.515
|
159.861
|
151.160
|
143.291
|
136.150
|
129.649
|
123.712
|
118.274
|
113.280
|
36
|
300.340
|
275.573
|
253.940
|
234.958
|
218.228
|
203.419
|
190.257
|
178.512
|
167.990
|
158.529
|
149.991
|
142.260
|
135.237
|
128.837
|
122.987
|
117.624
|
112.693
|
37
|
292.586
|
268.890
|
248.147
|
229.907
|
213.799
|
199.515
|
186.797
|
175.430
|
165.231
|
156.047
|
147.749
|
140.225
|
133.383
|
127.140
|
121.429
|
116.187
|
111.365
|
38
|
286.419
|
263.626
|
243.629
|
226.009
|
210.419
|
196.569
|
184.216
|
173.157
|
163.220
|
154.260
|
146.154
|
138.795
|
132.095
|
125.976
|
120.372
|
115.224
|
110.485
|
39
|
281.861
|
259.805
|
240.413
|
223.291
|
208.113
|
194.605
|
182.537
|
171.716
|
161.978
|
153.186
|
145.222
|
137.984
|
131.386
|
125.354
|
119.824
|
114.741
|
110.057
|
40
|
275.050
|
253.921
|
235.303
|
218.830
|
204.199
|
191.153
|
179.478
|
168.993
|
159.543
|
150.999
|
143.248
|
136.195
|
129.759
|
123.868
|
118.463
|
113.489
|
108.901
|
41
|
267.879
|
247.685
|
229.851
|
214.041
|
199.969
|
187.400
|
176.132
|
165.996
|
156.847
|
148.563
|
141.038
|
134.183
|
127.919
|
122.180
|
116.908
|
112.052
|
107.570
|
42
|
261.592
|
242.236
|
225.106
|
209.888
|
196.318
|
184.175
|
173.271
|
163.445
|
154.564
|
146.511
|
139.186
|
132.504
|
126.392
|
120.787
|
115.632
|
110.880
|
106.489
|
43
|
255.999
|
237.410
|
220.923
|
206.246
|
193.134
|
181.379
|
170.805
|
161.262
|
152.623
|
144.778
|
137.634
|
131.108
|
125.132
|
119.645
|
114.594
|
109.934
|
105.623
|
44
|
249.564
|
231.800
|
216.010
|
201.925
|
189.317
|
177.994
|
167.790
|
158.566
|
150.203
|
142.597
|
135.661
|
129.318
|
123.502
|
118.156
|
113.229
|
108.679
|
104.466
|
45
|
242.970
|
226.026
|
210.933
|
197.442
|
185.342
|
174.454
|
164.625
|
155.726
|
147.645
|
140.285
|
133.564
|
127.409
|
121.759
|
116.559
|
111.762
|
107.327
|
103.216
|
46
|
236.111
|
219.980
|
205.579
|
192.681
|
181.090
|
170.641
|
161.193
|
152.625
|
144.832
|
137.724
|
131.224
|
125.264
|
119.786
|
114.739
|
110.078
|
105.764
|
101.763
|
47
|
229.743
|
214.364
|
200.606
|
188.259
|
177.141
|
167.101
|
158.007
|
149.747
|
142.222
|
135.349
|
129.055
|
123.277
|
117.960
|
113.056
|
108.522
|
104.321
|
100.420
|
48
|
223.483
|
208.844
|
195.719
|
183.916
|
173.268
|
163.635
|
154.893
|
146.940
|
139.683
|
133.046
|
126.959
|
121.364
|
116.208
|
111.447
|
107.040
|
102.953
|
99.154
|
49
|
219.098
|
205.036
|
192.403
|
181.019
|
170.730
|
161.404
|
152.927
|
145.202
|
138.144
|
131.678
|
125.740
|
120.275
|
115.234
|
110.572
|
106.254
|
102.244
|
98.514
|
50
|
219.385
|
205.552
|
193.099
|
181.856
|
171.676
|
162.433
|
154.019
|
146.338
|
139.311
|
132.865
|
126.938
|
121.476
|
116.432
|
111.764
|
107.434
|
103.411
|
99.665
|
51
|
210.149
|
197.213
|
185.544
|
174.986
|
165.408
|
156.696
|
148.750
|
141.486
|
134.828
|
128.712
|
123.080
|
117.883
|
113.077
|
108.624
|
104.488
|
100.642
|
97.056
|
52
|
204.581
|
192.263
|
181.128
|
171.034
|
161.859
|
153.498
|
145.860
|
138.866
|
132.446
|
126.539
|
121.093
|
116.061
|
111.401
|
107.079
|
103.060
|
99.318
|
95.827
|
53
|
198.047
|
186.411
|
175.869
|
166.293
|
157.572
|
149.611
|
142.325
|
135.641
|
129.496
|
123.835
|
118.607
|
113.770
|
109.285
|
105.119
|
101.242
|
97.627
|
94.251
|
54
|
193.178
|
182.081
|
172.007
|
162.838
|
154.473
|
146.822
|
139.808
|
133.365
|
127.431
|
121.956
|
116.894
|
112.204
|
107.850
|
103.801
|
100.028
|
96.507
|
93.215
|
55
|
192.186
|
181.366
|
171.524
|
162.549
|
154.346
|
146.831
|
139.930
|
133.580
|
127.725
|
122.315
|
117.306
|
112.659
|
108.341
|
104.320
|
100.570
|
97.066
|
93.788
|
56
|
183.815
|
173.741
|
164.558
|
156.167
|
148.483
|
141.430
|
134.943
|
128.963
|
123.440
|
118.329
|
113.590
|
109.187
|
105.091
|
101.271
|
97.704
|
94.368
|
91.243
|
57
|
177.739
|
168.246
|
159.575
|
151.636
|
144.351
|
137.653
|
131.482
|
125.783
|
120.512
|
115.626
|
111.089
|
106.869
|
102.936
|
99.266
|
95.834
|
92.620
|
89.606
|
58
|
172.415
|
163.435
|
155.216
|
147.677
|
140.746
|
134.362
|
128.469
|
123.020
|
117.970
|
113.284
|
108.925
|
104.866
|
101.078
|
97.538
|
94.224
|
91.117
|
88.201
|
59
|
166.211
|
157.779
|
150.046
|
142.938
|
136.392
|
130.351
|
124.766
|
119.592
|
114.792
|
110.329
|
106.173
|
102.296
|
98.674
|
95.285
|
92.109
|
89.128
|
86.327
|
60
|
161.373
|
153.403
|
146.079
|
139.334
|
133.110
|
127.356
|
122.027
|
117.083
|
112.488
|
108.210
|
104.220
|
100.493
|
97.007
|
93.740
|
90.675
|
87.795
|
85.086
|
61
|
152.255
|
144.973
|
138.266
|
132.077
|
126.355
|
121.055
|
116.137
|
111.566
|
107.311
|
103.343
|
99.636
|
96.169
|
92.920
|
89.873
|
87.009
|
84.315
|
81.777
|
62
|
145.029
|
138.312
|
132.112
|
126.380
|
121.070
|
116.142
|
111.562
|
107.297
|
103.320
|
99.605
|
96.130
|
92.874
|
89.819
|
86.949
|
84.249
|
81.705
|
79.306
|
63
|
134.377
|
128.378
|
122.830
|
117.689
|
112.916
|
108.479
|
104.347
|
100.493
|
96.892
|
93.522
|
90.365
|
87.403
|
84.620
|
82.000
|
79.533
|
77.205
|
75.007
|
64
|
125.108
|
119.724
|
114.734
|
110.100
|
105.790
|
101.775
|
98.029
|
94.529
|
91.253
|
88.182
|
85.300
|
82.592
|
80.043
|
77.641
|
75.375
|
73.234
|
71.210
|
1Present value of monthly payments of $1 payable at the end of each month, starting with the year of entitlement and continuing thereafter for the life of the annuitant. Receipt of payment is contingent upon survival to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in tables 8B and 8C. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
14.984
|
14.016
|
13.164
|
12.411
|
11.743
|
11.147
|
10.613
|
10.133
|
9.700
|
9.307
|
8.949
|
8.623
|
8.324
|
8.048
|
7.794
|
7.559
|
7.341
|
17
|
15.595
|
14.564
|
13.656
|
12.853
|
12.140
|
11.504
|
10.935
|
10.424
|
9.962
|
9.544
|
9.164
|
8.817
|
8.500
|
8.208
|
7.939
|
7.691
|
7.460
|
18
|
16.307
|
15.205
|
14.234
|
13.375
|
12.612
|
11.932
|
11.323
|
10.776
|
10.282
|
9.835
|
9.429
|
9.059
|
8.720
|
8.409
|
8.123
|
7.859
|
7.614
|
19
|
17.070
|
15.897
|
14.862
|
13.946
|
13.132
|
12.406
|
11.756
|
11.171
|
10.643
|
10.166
|
9.732
|
9.337
|
8.976
|
8.644
|
8.340
|
8.059
|
7.799
|
20
|
17.694
|
16.469
|
15.386
|
14.427
|
13.573
|
12.810
|
12.127
|
11.512
|
10.958
|
10.456
|
9.999
|
9.584
|
9.204
|
8.855
|
8.535
|
8.240
|
7.967
|
21
|
18.250
|
16.984
|
15.865
|
14.871
|
13.985
|
13.193
|
12.482
|
11.843
|
11.265
|
10.742
|
10.266
|
9.833
|
9.436
|
9.073
|
8.739
|
8.431
|
8.146
|
22
|
18.461
|
17.189
|
16.060
|
15.057
|
14.162
|
13.360
|
12.639
|
11.990
|
11.403
|
10.871
|
10.387
|
9.946
|
9.542
|
9.171
|
8.830
|
8.516
|
8.226
|
23
|
18.321
|
17.074
|
15.966
|
14.979
|
14.096
|
13.304
|
12.592
|
11.949
|
11.367
|
10.838
|
10.357
|
9.918
|
9.516
|
9.147
|
8.807
|
8.493
|
8.203
|
24
|
18.042
|
16.834
|
15.758
|
14.798
|
13.937
|
13.164
|
12.467
|
11.838
|
11.267
|
10.748
|
10.274
|
9.842
|
9.445
|
9.081
|
8.746
|
8.436
|
8.149
|
25
|
17.558
|
16.406
|
15.378
|
14.458
|
13.632
|
12.888
|
12.217
|
11.609
|
11.057
|
10.555
|
10.096
|
9.676
|
9.291
|
8.937
|
8.610
|
8.308
|
8.029
|
26
|
17.118
|
16.018
|
15.035
|
14.153
|
13.359
|
12.643
|
11.996
|
11.408
|
10.874
|
10.387
|
9.942
|
9.534
|
9.159
|
8.813
|
8.495
|
8.200
|
7.927
|
27
|
16.910
|
15.842
|
14.886
|
14.025
|
13.250
|
12.549
|
11.914
|
11.337
|
10.811
|
10.331
|
9.892
|
9.489
|
9.118
|
8.776
|
8.461
|
8.168
|
7.897
|
28
|
16.548
|
15.527
|
14.609
|
13.782
|
13.035
|
12.358
|
11.744
|
11.185
|
10.674
|
10.208
|
9.780
|
9.387
|
9.025
|
8.690
|
8.381
|
8.095
|
7.829
|
29
|
16.317
|
15.330
|
14.441
|
13.638
|
12.911
|
12.252
|
11.651
|
11.104
|
10.604
|
10.146
|
9.725
|
9.338
|
8.981
|
8.652
|
8.347
|
8.063
|
7.800
|
30
|
16.120
|
15.164
|
14.302
|
13.520
|
12.812
|
12.167
|
11.580
|
11.043
|
10.552
|
10.101
|
9.687
|
9.305
|
8.953
|
8.626
|
8.324
|
8.044
|
7.782
|
31
|
15.901
|
14.979
|
14.145
|
13.387
|
12.699
|
12.071
|
11.498
|
10.973
|
10.492
|
10.050
|
9.643
|
9.267
|
8.920
|
8.598
|
8.299
|
8.022
|
7.763
|
32
|
15.744
|
14.852
|
14.042
|
13.305
|
12.634
|
12.020
|
11.459
|
10.945
|
10.472
|
10.037
|
9.635
|
9.264
|
8.921
|
8.602
|
8.306
|
8.031
|
7.774
|
33
|
15.555
|
14.694
|
13.910
|
13.196
|
12.543
|
11.946
|
11.398
|
10.895
|
10.432
|
10.005
|
9.610
|
9.245
|
8.906
|
8.592
|
8.299
|
8.027
|
7.772
|
34
|
15.301
|
14.475
|
13.721
|
13.033
|
12.402
|
11.824
|
11.293
|
10.803
|
10.352
|
9.935
|
9.550
|
9.192
|
8.860
|
8.551
|
8.263
|
7.995
|
7.744
|
35
|
15.027
|
14.237
|
13.514
|
12.852
|
12.245
|
11.686
|
11.172
|
10.698
|
10.260
|
9.854
|
9.478
|
9.129
|
8.804
|
8.502
|
8.220
|
7.956
|
7.709
|
36
|
14.896
|
14.133
|
13.433
|
12.791
|
12.200
|
11.655
|
11.153
|
10.688
|
10.258
|
9.860
|
9.489
|
9.145
|
8.824
|
8.525
|
8.245
|
7.984
|
7.739
|
37
|
14.631
|
13.902
|
13.233
|
12.616
|
12.048
|
11.523
|
11.037
|
10.588
|
10.171
|
9.783
|
9.422
|
9.086
|
8.773
|
8.480
|
8.206
|
7.950
|
7.709
|
38
|
14.385
|
13.689
|
13.047
|
12.454
|
11.907
|
11.400
|
10.930
|
10.494
|
10.089
|
9.712
|
9.360
|
9.032
|
8.726
|
8.439
|
8.170
|
7.918
|
7.681
|
39
|
14.050
|
13.392
|
12.784
|
12.221
|
11.699
|
11.215
|
10.766
|
10.348
|
9.958
|
9.595
|
9.256
|
8.939
|
8.642
|
8.364
|
8.102
|
7.857
|
7.626
|
40
|
13.753
|
13.129
|
12.551
|
12.015
|
11.517
|
11.054
|
10.623
|
10.221
|
9.846
|
9.496
|
9.168
|
8.860
|
8.572
|
8.302
|
8.047
|
7.808
|
7.582
|
41
|
13.518
|
12.925
|
12.374
|
11.861
|
11.384
|
10.939
|
10.524
|
10.136
|
9.774
|
9.434
|
9.115
|
8.816
|
8.536
|
8.271
|
8.023
|
7.788
|
7.567
|
42
|
13.198
|
12.639
|
12.118
|
11.632
|
11.178
|
10.755
|
10.359
|
9.987
|
9.640
|
9.313
|
9.007
|
8.718
|
8.447
|
8.191
|
7.950
|
7.723
|
7.507
|
43
|
12.818
|
12.294
|
11.806
|
11.349
|
10.922
|
10.521
|
10.146
|
9.794
|
9.463
|
9.152
|
8.859
|
8.583
|
8.323
|
8.077
|
7.845
|
7.626
|
7.418
|
44
|
12.470
|
11.981
|
11.523
|
11.094
|
10.691
|
10.313
|
9.958
|
9.624
|
9.309
|
9.012
|
8.733
|
8.469
|
8.219
|
7.983
|
7.760
|
7.548
|
7.347
|
45
|
12.133
|
11.677
|
11.249
|
10.847
|
10.468
|
10.112
|
9.776
|
9.460
|
9.161
|
8.879
|
8.612
|
8.360
|
8.121
|
7.894
|
7.680
|
7.476
|
7.283
|
46
|
11.706
|
11.286
|
10.890
|
10.517
|
10.166
|
9.834
|
9.521
|
9.225
|
8.944
|
8.679
|
8.428
|
8.190
|
7.964
|
7.749
|
7.545
|
7.352
|
7.167
|
47
|
11.324
|
10.937
|
10.571
|
10.226
|
9.899
|
9.590
|
9.298
|
9.021
|
8.758
|
8.508
|
8.272
|
8.047
|
7.833
|
7.629
|
7.436
|
7.251
|
7.075
|
48
|
10.814
|
10.464
|
10.132
|
9.818
|
9.520
|
9.238
|
8.969
|
8.714
|
8.472
|
8.242
|
8.023
|
7.814
|
7.615
|
7.425
|
7.244
|
7.072
|
6.907
|
49
|
10.520
|
10.197
|
9.889
|
9.597
|
9.320
|
9.056
|
8.805
|
8.566
|
8.338
|
8.121
|
7.914
|
7.716
|
7.528
|
7.347
|
7.175
|
7.010
|
6.852
|
50
|
10.365
|
10.063
|
9.775
|
9.501
|
9.239
|
8.990
|
8.752
|
8.525
|
8.309
|
8.101
|
7.903
|
7.714
|
7.533
|
7.359
|
7.193
|
7.034
|
6.881
|
51
|
9.623
|
9.361
|
9.112
|
8.874
|
8.646
|
8.428
|
8.220
|
8.021
|
7.830
|
7.647
|
7.472
|
7.304
|
7.142
|
6.988
|
6.839
|
6.696
|
6.559
|
52
|
9.044
|
8.816
|
8.598
|
8.388
|
8.188
|
7.995
|
7.811
|
7.634
|
7.464
|
7.301
|
7.144
|
6.993
|
6.848
|
6.709
|
6.574
|
6.445
|
6.321
|
53
|
8.504
|
8.305
|
8.115
|
7.932
|
7.756
|
7.587
|
7.424
|
7.268
|
7.117
|
6.972
|
6.832
|
6.698
|
6.568
|
6.443
|
6.322
|
6.206
|
6.093
|
54
|
8.018
|
7.846
|
7.681
|
7.521
|
7.367
|
7.219
|
7.076
|
6.938
|
6.804
|
6.676
|
6.552
|
6.432
|
6.316
|
6.204
|
6.095
|
5.990
|
5.889
|
55
|
7.664
|
7.513
|
7.368
|
7.227
|
7.091
|
6.960
|
6.833
|
6.710
|
6.591
|
6.476
|
6.364
|
6.256
|
6.152
|
6.050
|
5.952
|
5.857
|
5.765
|
56
|
6.919
|
6.798
|
6.681
|
6.567
|
6.456
|
6.349
|
6.245
|
6.145
|
6.047
|
5.952
|
5.860
|
5.771
|
5.684
|
5.599
|
5.517
|
5.438
|
5.360
|
57
|
6.290
|
6.192
|
6.098
|
6.006
|
5.916
|
5.829
|
5.745
|
5.663
|
5.582
|
5.505
|
5.429
|
5.355
|
5.283
|
5.213
|
5.145
|
5.078
|
5.013
|
58
|
5.627
|
5.551
|
5.478
|
5.406
|
5.337
|
5.269
|
5.202
|
5.138
|
5.074
|
5.013
|
4.953
|
4.894
|
4.836
|
4.780
|
4.726
|
4.672
|
4.620
|
59
|
4.937
|
4.881
|
4.827
|
4.774
|
4.722
|
4.672
|
4.622
|
4.573
|
4.526
|
4.479
|
4.434
|
4.389
|
4.346
|
4.303
|
4.261
|
4.220
|
4.180
|
60
|
4.245
|
4.206
|
4.168
|
4.131
|
4.095
|
4.059
|
4.024
|
3.990
|
3.956
|
3.923
|
3.891
|
3.859
|
3.827
|
3.797
|
3.766
|
3.737
|
3.708
|
61
|
3.454
|
3.431
|
3.408
|
3.385
|
3.362
|
3.340
|
3.319
|
3.297
|
3.276
|
3.255
|
3.235
|
3.215
|
3.195
|
3.176
|
3.156
|
3.137
|
3.119
|
62
|
2.669
|
2.657
|
2.645
|
2.634
|
2.622
|
2.610
|
2.599
|
2.588
|
2.577
|
2.566
|
2.555
|
2.544
|
2.534
|
2.523
|
2.513
|
2.503
|
2.493
|
63
|
1.848
|
1.844
|
1.840
|
1.835
|
1.831
|
1.827
|
1.823
|
1.819
|
1.816
|
1.812
|
1.808
|
1.804
|
1.800
|
1.797
|
1.793
|
1.789
|
1.786
|
64
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1Present value of annual payments of $1 payable at the beginning of each year, starting with the year of entitlement and continuing up to age 65. Receipt of payment is contingent upon survival under all forms of decrement to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in table 22A. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
14.056
|
13.073
|
12.209
|
11.446
|
10.770
|
10.169
|
9.630
|
9.147
|
8.711
|
8.315
|
7.956
|
7.628
|
7.328
|
7.052
|
6.797
|
6.561
|
6.343
|
17
|
14.678
|
13.629
|
12.707
|
11.893
|
11.172
|
10.530
|
9.956
|
9.440
|
8.975
|
8.554
|
8.172
|
7.824
|
7.505
|
7.212
|
6.942
|
6.693
|
6.462
|
18
|
15.401
|
14.279
|
13.293
|
12.422
|
11.650
|
10.962
|
10.347
|
9.795
|
9.297
|
8.847
|
8.439
|
8.066
|
7.726
|
7.414
|
7.127
|
6.862
|
6.617
|
19
|
16.177
|
14.982
|
13.931
|
13.001
|
12.176
|
11.441
|
10.784
|
10.193
|
9.661
|
9.180
|
8.744
|
8.346
|
7.983
|
7.650
|
7.345
|
7.063
|
6.802
|
20
|
16.814
|
15.565
|
14.463
|
13.488
|
12.622
|
11.850
|
11.159
|
10.538
|
9.979
|
9.473
|
9.013
|
8.595
|
8.213
|
7.863
|
7.541
|
7.245
|
6.971
|
21
|
17.382
|
16.090
|
14.950
|
13.940
|
13.041
|
12.238
|
11.519
|
10.872
|
10.289
|
9.761
|
9.282
|
8.846
|
8.447
|
8.081
|
7.746
|
7.436
|
7.151
|
22
|
17.603
|
16.303
|
15.153
|
14.132
|
13.222
|
12.409
|
11.680
|
11.023
|
10.430
|
9.893
|
9.405
|
8.960
|
8.554
|
8.181
|
7.838
|
7.523
|
7.231
|
23
|
17.469
|
16.194
|
15.064
|
14.058
|
13.161
|
12.357
|
11.635
|
10.984
|
10.396
|
9.862
|
9.377
|
8.934
|
8.529
|
8.157
|
7.816
|
7.501
|
7.209
|
24
|
17.194
|
15.958
|
14.860
|
13.881
|
13.006
|
12.220
|
11.513
|
10.875
|
10.298
|
9.773
|
9.295
|
8.859
|
8.460
|
8.093
|
7.755
|
7.444
|
7.156
|
25
|
16.713
|
15.533
|
14.482
|
13.544
|
12.703
|
11.947
|
11.265
|
10.649
|
10.090
|
9.582
|
9.119
|
8.695
|
8.306
|
7.950
|
7.621
|
7.317
|
7.036
|
26
|
16.275
|
15.148
|
14.142
|
13.241
|
12.432
|
11.704
|
11.046
|
10.450
|
9.909
|
9.416
|
8.966
|
8.553
|
8.175
|
7.827
|
7.506
|
7.210
|
6.935
|
27
|
16.073
|
14.978
|
13.998
|
13.119
|
12.328
|
11.614
|
10.968
|
10.382
|
9.849
|
9.362
|
8.918
|
8.511
|
8.136
|
7.792
|
7.474
|
7.179
|
6.906
|
28
|
15.715
|
14.666
|
13.725
|
12.879
|
12.116
|
11.426
|
10.800
|
10.232
|
9.714
|
9.241
|
8.808
|
8.410
|
8.044
|
7.707
|
7.395
|
7.107
|
6.839
|
29
|
15.491
|
14.476
|
13.563
|
12.740
|
11.997
|
11.324
|
10.712
|
10.155
|
9.647
|
9.182
|
8.756
|
8.364
|
8.003
|
7.670
|
7.362
|
7.076
|
6.811
|
30
|
15.300
|
14.316
|
13.429
|
12.628
|
11.902
|
11.244
|
10.644
|
10.098
|
9.598
|
9.140
|
8.720
|
8.333
|
7.976
|
7.647
|
7.341
|
7.058
|
6.795
|
31
|
15.088
|
14.137
|
13.278
|
12.501
|
11.795
|
11.152
|
10.567
|
10.032
|
9.542
|
9.092
|
8.679
|
8.298
|
7.946
|
7.620
|
7.319
|
7.038
|
6.777
|
32
|
14.939
|
14.017
|
13.183
|
12.425
|
11.736
|
11.107
|
10.533
|
10.008
|
9.526
|
9.083
|
8.675
|
8.298
|
7.950
|
7.627
|
7.328
|
7.049
|
6.790
|
33
|
14.758
|
13.867
|
13.058
|
12.322
|
11.652
|
11.039
|
10.478
|
9.963
|
9.491
|
9.055
|
8.654
|
8.282
|
7.938
|
7.620
|
7.323
|
7.047
|
6.790
|
34
|
14.512
|
13.656
|
12.876
|
12.166
|
11.517
|
10.923
|
10.377
|
9.876
|
9.415
|
8.990
|
8.597
|
8.233
|
7.895
|
7.582
|
7.290
|
7.018
|
6.764
|
35
|
14.245
|
13.425
|
12.676
|
11.992
|
11.366
|
10.791
|
10.263
|
9.776
|
9.328
|
8.913
|
8.529
|
8.173
|
7.843
|
7.535
|
7.249
|
6.981
|
6.731
|
36
|
14.124
|
13.331
|
12.605
|
11.940
|
11.329
|
10.768
|
10.251
|
9.773
|
9.332
|
8.924
|
8.546
|
8.194
|
7.867
|
7.562
|
7.278
|
7.013
|
6.764
|
37
|
13.869
|
13.110
|
12.413
|
11.774
|
11.185
|
10.643
|
10.142
|
9.679
|
9.251
|
8.853
|
8.484
|
8.140
|
7.820
|
7.522
|
7.243
|
6.982
|
6.737
|
38
|
13.634
|
12.906
|
12.237
|
11.621
|
11.053
|
10.529
|
10.043
|
9.594
|
9.176
|
8.789
|
8.428
|
8.092
|
7.778
|
7.485
|
7.211
|
6.954
|
6.713
|
39
|
13.308
|
12.618
|
11.983
|
11.396
|
10.854
|
10.352
|
9.886
|
9.454
|
9.052
|
8.678
|
8.329
|
8.004
|
7.699
|
7.414
|
7.147
|
6.897
|
6.662
|
40
|
13.021
|
12.366
|
11.761
|
11.201
|
10.681
|
10.200
|
9.752
|
9.336
|
8.948
|
8.586
|
8.248
|
7.931
|
7.635
|
7.358
|
7.097
|
6.853
|
6.622
|
41
|
12.799
|
12.175
|
11.596
|
11.059
|
10.560
|
10.096
|
9.663
|
9.260
|
8.884
|
8.532
|
8.203
|
7.895
|
7.606
|
7.334
|
7.079
|
6.839
|
6.612
|
42
|
12.492
|
11.901
|
11.352
|
10.841
|
10.365
|
9.922
|
9.508
|
9.121
|
8.760
|
8.421
|
8.103
|
7.805
|
7.525
|
7.261
|
7.013
|
6.779
|
6.558
|
43
|
12.123
|
11.568
|
11.051
|
10.570
|
10.120
|
9.700
|
9.306
|
8.938
|
8.593
|
8.269
|
7.964
|
7.678
|
7.408
|
7.154
|
6.915
|
6.689
|
6.475
|
44
|
11.789
|
11.268
|
10.782
|
10.328
|
9.902
|
9.504
|
9.130
|
8.779
|
8.450
|
8.140
|
7.848
|
7.573
|
7.314
|
7.069
|
6.838
|
6.619
|
6.412
|
45
|
11.466
|
10.979
|
10.523
|
10.095
|
9.693
|
9.316
|
8.962
|
8.628
|
8.314
|
8.018
|
7.739
|
7.475
|
7.226
|
6.990
|
6.767
|
6.556
|
6.355
|
46
|
11.052
|
10.601
|
10.177
|
9.779
|
9.404
|
9.051
|
8.719
|
8.406
|
8.110
|
7.830
|
7.566
|
7.316
|
7.079
|
6.855
|
6.642
|
6.440
|
6.249
|
47
|
10.686
|
10.268
|
9.874
|
9.503
|
9.153
|
8.823
|
8.511
|
8.217
|
7.938
|
7.674
|
7.423
|
7.186
|
6.961
|
6.747
|
6.544
|
6.351
|
6.167
|
48
|
10.188
|
9.808
|
9.448
|
9.109
|
8.788
|
8.484
|
8.196
|
7.924
|
7.665
|
7.420
|
7.187
|
6.966
|
6.755
|
6.555
|
6.364
|
6.182
|
6.009
|
49
|
9.918
|
9.564
|
9.229
|
8.912
|
8.611
|
8.325
|
8.054
|
7.797
|
7.552
|
7.319
|
7.098
|
6.887
|
6.686
|
6.494
|
6.311
|
6.136
|
5.970
|
50
|
9.799
|
9.465
|
9.149
|
8.848
|
8.562
|
8.290
|
8.032
|
7.785
|
7.551
|
7.327
|
7.113
|
6.910
|
6.715
|
6.529
|
6.352
|
6.182
|
6.019
|
51
|
9.060
|
8.770
|
8.493
|
8.230
|
7.979
|
7.739
|
7.511
|
7.292
|
7.084
|
6.885
|
6.694
|
6.512
|
6.337
|
6.170
|
6.010
|
5.857
|
5.710
|
52
|
8.496
|
8.240
|
7.995
|
7.762
|
7.538
|
7.324
|
7.120
|
6.924
|
6.737
|
6.557
|
6.385
|
6.220
|
6.062
|
5.910
|
5.764
|
5.623
|
5.489
|
53
|
7.976
|
7.751
|
7.535
|
7.328
|
7.129
|
6.939
|
6.757
|
6.582
|
6.414
|
6.252
|
6.097
|
5.948
|
5.804
|
5.666
|
5.534
|
5.406
|
5.283
|
54
|
7.522
|
7.323
|
7.133
|
6.949
|
6.773
|
6.604
|
6.441
|
6.284
|
6.133
|
5.988
|
5.848
|
5.713
|
5.583
|
5.457
|
5.336
|
5.220
|
5.107
|
55
|
7.219
|
7.042
|
6.871
|
6.706
|
6.548
|
6.395
|
6.247
|
6.105
|
5.967
|
5.835
|
5.707
|
5.583
|
5.464
|
5.348
|
5.236
|
5.128
|
5.024
|
56
|
6.484
|
6.338
|
6.197
|
6.061
|
5.929
|
5.802
|
5.679
|
5.560
|
5.445
|
5.333
|
5.225
|
5.121
|
5.019
|
4.921
|
4.826
|
4.734
|
4.644
|
57
|
5.884
|
5.764
|
5.647
|
5.534
|
5.425
|
5.318
|
5.215
|
5.115
|
5.018
|
4.924
|
4.833
|
4.744
|
4.658
|
4.574
|
4.493
|
4.413
|
4.337
|
58
|
5.249
|
5.153
|
5.059
|
4.968
|
4.879
|
4.793
|
4.709
|
4.628
|
4.549
|
4.472
|
4.396
|
4.323
|
4.252
|
4.183
|
4.115
|
4.049
|
3.985
|
59
|
4.591
|
4.516
|
4.444
|
4.373
|
4.304
|
4.236
|
4.171
|
4.106
|
4.044
|
3.983
|
3.923
|
3.865
|
3.808
|
3.753
|
3.698
|
3.645
|
3.594
|
60
|
3.939
|
3.883
|
3.829
|
3.776
|
3.724
|
3.674
|
3.624
|
3.575
|
3.528
|
3.481
|
3.436
|
3.391
|
3.348
|
3.305
|
3.263
|
3.222
|
3.182
|
61
|
3.170
|
3.133
|
3.096
|
3.060
|
3.024
|
2.989
|
2.955
|
2.922
|
2.889
|
2.857
|
2.825
|
2.794
|
2.763
|
2.733
|
2.704
|
2.675
|
2.647
|
62
|
2.414
|
2.391
|
2.368
|
2.346
|
2.324
|
2.302
|
2.281
|
2.260
|
2.239
|
2.219
|
2.199
|
2.179
|
2.160
|
2.141
|
2.122
|
2.103
|
2.085
|
63
|
1.615
|
1.604
|
1.592
|
1.581
|
1.569
|
1.558
|
1.547
|
1.536
|
1.526
|
1.515
|
1.505
|
1.494
|
1.484
|
1.474
|
1.464
|
1.454
|
1.444
|
64
|
0.814
|
0.810
|
0.806
|
0.802
|
0.798
|
0.794
|
0.790
|
0.786
|
0.783
|
0.779
|
0.775
|
0.772
|
0.768
|
0.764
|
0.761
|
0.757
|
0.754
|
1Present value of annual payments of $1 payable at the end of each year, starting with the year of entitlement and continuing up to age 65. Receipt of payment is contingent upon survival under all forms of decrement to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in table 22A. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
174.693
|
162.978
|
152.681
|
143.587
|
135.519
|
128.329
|
121.893
|
116.107
|
110.884
|
106.150
|
101.844
|
97.911
|
94.307
|
90.994
|
87.937
|
85.108
|
82.484
|
17
|
182.081
|
169.597
|
158.617
|
148.917
|
140.310
|
132.640
|
125.776
|
119.609
|
114.046
|
109.007
|
104.427
|
100.250
|
96.425
|
92.913
|
89.678
|
86.688
|
83.917
|
18
|
190.682
|
177.343
|
165.601
|
155.222
|
146.010
|
137.798
|
130.451
|
123.850
|
117.898
|
112.510
|
107.616
|
103.155
|
99.076
|
95.333
|
91.889
|
88.709
|
85.767
|
19
|
199.912
|
185.708
|
173.192
|
162.119
|
152.283
|
143.513
|
135.662
|
128.609
|
122.249
|
116.494
|
111.268
|
106.506
|
102.155
|
98.165
|
94.496
|
91.113
|
87.985
|
20
|
207.477
|
192.629
|
179.527
|
167.921
|
157.602
|
148.392
|
140.143
|
132.727
|
126.039
|
119.984
|
114.487
|
109.478
|
104.901
|
100.706
|
96.849
|
93.295
|
90.009
|
21
|
214.208
|
198.872
|
185.316
|
173.289
|
162.580
|
153.012
|
144.433
|
136.714
|
129.746
|
123.436
|
117.703
|
112.478
|
107.703
|
103.325
|
99.300
|
95.591
|
92.163
|
22
|
216.800
|
201.370
|
187.705
|
175.560
|
164.730
|
155.038
|
146.338
|
138.501
|
131.419
|
125.000
|
119.164
|
113.841
|
108.974
|
104.510
|
100.406
|
96.621
|
93.123
|
23
|
215.155
|
200.027
|
186.601
|
174.645
|
163.963
|
154.389
|
145.781
|
138.016
|
130.991
|
124.615
|
118.813
|
113.517
|
108.670
|
104.221
|
100.128
|
96.352
|
92.860
|
24
|
211.827
|
197.169
|
184.131
|
172.496
|
162.081
|
152.729
|
144.305
|
136.696
|
129.801
|
123.536
|
117.828
|
112.611
|
107.832
|
103.442
|
99.399
|
95.667
|
92.214
|
25
|
206.032
|
192.049
|
179.582
|
168.432
|
158.430
|
149.432
|
141.313
|
133.966
|
127.299
|
121.232
|
115.696
|
110.631
|
105.985
|
101.714
|
97.776
|
94.138
|
90.769
|
26
|
200.764
|
187.412
|
175.480
|
164.784
|
155.170
|
146.503
|
138.668
|
131.565
|
125.109
|
119.226
|
113.850
|
108.925
|
104.402
|
100.239
|
96.398
|
92.845
|
89.552
|
27
|
198.302
|
185.334
|
173.717
|
163.282
|
153.882
|
145.393
|
137.705
|
130.725
|
124.371
|
118.571
|
113.265
|
108.399
|
103.925
|
99.802
|
95.995
|
92.471
|
89.202
|
28
|
193.982
|
181.567
|
170.419
|
160.382
|
151.322
|
143.121
|
135.681
|
128.913
|
122.741
|
117.099
|
111.929
|
107.181
|
102.811
|
98.778
|
95.050
|
91.596
|
88.388
|
29
|
191.246
|
179.241
|
168.436
|
158.685
|
149.865
|
141.866
|
134.594
|
127.968
|
121.916
|
116.374
|
111.290
|
106.614
|
102.304
|
98.324
|
94.639
|
91.222
|
88.047
|
30
|
188.916
|
177.285
|
166.791
|
157.301
|
148.697
|
140.878
|
133.757
|
127.257
|
121.309
|
115.855
|
110.844
|
106.229
|
101.969
|
98.031
|
94.382
|
90.994
|
87.842
|
31
|
186.331
|
175.100
|
164.943
|
155.735
|
147.368
|
139.750
|
132.797
|
126.438
|
120.610
|
115.257
|
110.330
|
105.786
|
101.588
|
97.700
|
94.094
|
90.742
|
87.621
|
32
|
184.490
|
173.611
|
163.747
|
154.784
|
146.622
|
139.174
|
132.363
|
126.123
|
120.392
|
115.120
|
110.260
|
105.772
|
101.618
|
97.767
|
94.191
|
90.863
|
87.761
|
33
|
182.262
|
171.757
|
162.209
|
153.512
|
145.574
|
138.315
|
131.664
|
125.557
|
119.940
|
114.762
|
109.982
|
105.560
|
101.462
|
97.658
|
94.120
|
90.824
|
87.749
|
34
|
179.256
|
169.172
|
159.982
|
151.591
|
143.916
|
136.882
|
130.423
|
124.481
|
119.005
|
113.949
|
109.273
|
104.941
|
100.921
|
97.183
|
93.703
|
90.456
|
87.424
|
35
|
176.005
|
166.352
|
157.534
|
149.463
|
142.063
|
135.266
|
129.011
|
123.246
|
117.923
|
113.000
|
108.438
|
104.205
|
100.271
|
96.608
|
93.192
|
90.003
|
87.020
|
36
|
174.491
|
165.160
|
156.614
|
148.774
|
141.568
|
134.934
|
128.817
|
123.168
|
117.941
|
113.098
|
108.603
|
104.425
|
100.535
|
96.909
|
93.523
|
90.356
|
87.391
|
37
|
171.365
|
162.447
|
154.258
|
146.727
|
139.789
|
133.387
|
127.472
|
121.996
|
116.921
|
112.210
|
107.829
|
103.750
|
99.947
|
96.395
|
93.074
|
89.964
|
87.048
|
38
|
168.479
|
159.942
|
152.084
|
144.838
|
138.148
|
131.961
|
126.232
|
120.918
|
115.983
|
111.393
|
107.118
|
103.131
|
99.407
|
95.925
|
92.663
|
89.606
|
86.735
|
39
|
164.507
|
156.429
|
148.972
|
142.080
|
135.701
|
129.787
|
124.299
|
119.198
|
114.450
|
110.025
|
105.896
|
102.038
|
98.428
|
95.047
|
91.876
|
88.897
|
86.097
|
40
|
160.998
|
153.334
|
146.242
|
139.670
|
133.572
|
127.906
|
122.636
|
117.726
|
113.147
|
108.872
|
104.874
|
101.132
|
97.625
|
94.334
|
91.242
|
88.334
|
85.597
|
41
|
158.254
|
150.955
|
144.182
|
137.890
|
132.037
|
126.586
|
121.505
|
116.760
|
112.327
|
108.178
|
104.292
|
100.647
|
97.225
|
94.008
|
90.982
|
88.131
|
85.443
|
42
|
154.479
|
147.585
|
141.173
|
135.200
|
129.631
|
124.433
|
119.574
|
115.029
|
110.772
|
106.781
|
103.034
|
99.514
|
96.204
|
93.086
|
90.148
|
87.376
|
84.758
|
43
|
149.978
|
143.519
|
137.495
|
131.870
|
126.612
|
121.692
|
117.083
|
112.762
|
108.706
|
104.895
|
101.310
|
97.936
|
94.756
|
91.757
|
88.926
|
86.250
|
83.719
|
44
|
145.883
|
139.835
|
134.178
|
128.882
|
123.919
|
119.264
|
114.893
|
110.785
|
106.920
|
103.281
|
99.852
|
96.617
|
93.562
|
90.676
|
87.946
|
85.361
|
82.913
|
45
|
141.921
|
136.269
|
130.968
|
125.993
|
121.318
|
116.922
|
112.784
|
108.886
|
105.211
|
101.743
|
98.467
|
95.371
|
92.442
|
89.668
|
87.040
|
84.547
|
82.182
|
46
|
136.862
|
131.643
|
126.735
|
122.116
|
117.765
|
113.662
|
109.792
|
106.137
|
102.683
|
99.416
|
96.323
|
93.394
|
90.617
|
87.983
|
85.482
|
83.106
|
80.846
|
47
|
132.365
|
127.543
|
122.997
|
118.706
|
114.654
|
110.824
|
107.201
|
103.771
|
100.523
|
97.444
|
94.522
|
91.749
|
89.115
|
86.611
|
84.228
|
81.961
|
79.800
|
48
|
126.317
|
121.942
|
117.804
|
113.888
|
110.180
|
106.666
|
103.334
|
100.172
|
97.170
|
94.317
|
91.604
|
89.023
|
86.567
|
84.226
|
81.995
|
79.867
|
77.836
|
49
|
122.919
|
118.864
|
115.019
|
111.371
|
107.906
|
104.615
|
101.487
|
98.510
|
95.678
|
92.980
|
90.409
|
87.958
|
85.619
|
83.387
|
81.254
|
79.217
|
77.268
|
50
|
121.255
|
117.450
|
113.833
|
110.391
|
107.115
|
103.995
|
101.021
|
98.185
|
95.479
|
92.896
|
90.430
|
88.072
|
85.819
|
83.663
|
81.599
|
79.623
|
77.730
|
51
|
112.369
|
109.068
|
105.921
|
102.917
|
100.050
|
97.312
|
94.695
|
92.194
|
89.801
|
87.510
|
85.318
|
83.217
|
81.204
|
79.274
|
77.422
|
75.645
|
73.939
|
52
|
105.508
|
102.610
|
99.839
|
97.187
|
94.649
|
92.218
|
89.889
|
87.656
|
85.514
|
83.460
|
81.488
|
79.594
|
77.775
|
76.026
|
74.345
|
72.728
|
71.173
|
53
|
99.133
|
96.598
|
94.167
|
91.835
|
89.596
|
87.445
|
85.379
|
83.393
|
81.484
|
79.648
|
77.881
|
76.180
|
74.542
|
72.964
|
71.443
|
69.977
|
68.563
|
54
|
93.482
|
91.266
|
89.135
|
87.083
|
85.109
|
83.207
|
81.376
|
79.611
|
77.909
|
76.269
|
74.686
|
73.159
|
71.685
|
70.261
|
68.886
|
67.558
|
66.274
|
55
|
89.515
|
87.555
|
85.664
|
83.840
|
82.079
|
80.378
|
78.736
|
77.149
|
75.615
|
74.133
|
72.699
|
71.312
|
69.970
|
68.671
|
67.413
|
66.195
|
65.016
|
56
|
80.628
|
79.033
|
77.490
|
75.996
|
74.550
|
73.150
|
71.794
|
70.480
|
69.206
|
67.971
|
66.774
|
65.613
|
64.486
|
63.393
|
62.332
|
61.301
|
60.301
|
57
|
73.240
|
71.941
|
70.680
|
69.456
|
68.268
|
67.114
|
65.993
|
64.903
|
63.845
|
62.815
|
61.815
|
60.842
|
59.895
|
58.974
|
58.078
|
57.206
|
56.357
|
58
|
65.435
|
64.412
|
63.416
|
62.446
|
61.502
|
60.582
|
59.686
|
58.813
|
57.962
|
57.133
|
56.324
|
55.535
|
54.766
|
54.015
|
53.283
|
52.569
|
51.872
|
59
|
57.334
|
56.560
|
55.804
|
55.066
|
54.345
|
53.641
|
52.952
|
52.280
|
51.623
|
50.980
|
50.352
|
49.738
|
49.137
|
48.549
|
47.974
|
47.412
|
46.861
|
60
|
49.248
|
48.690
|
48.143
|
47.607
|
47.082
|
46.568
|
46.064
|
45.570
|
45.086
|
44.611
|
44.145
|
43.689
|
43.241
|
42.802
|
42.371
|
41.949
|
41.534
|
61
|
39.882
|
39.520
|
39.164
|
38.815
|
38.471
|
38.133
|
37.801
|
37.474
|
37.153
|
36.838
|
36.527
|
36.222
|
35.922
|
35.627
|
35.336
|
35.050
|
34.769
|
62
|
30.625
|
30.416
|
30.211
|
30.008
|
29.808
|
29.612
|
29.417
|
29.226
|
29.037
|
28.851
|
28.668
|
28.486
|
28.308
|
28.131
|
27.958
|
27.786
|
27.617
|
63
|
20.891
|
20.797
|
20.704
|
20.612
|
20.521
|
20.431
|
20.343
|
20.255
|
20.168
|
20.082
|
19.997
|
19.913
|
19.829
|
19.747
|
19.666
|
19.585
|
19.505
|
64
|
10.971
|
10.948
|
10.924
|
10.900
|
10.877
|
10.854
|
10.831
|
10.808
|
10.786
|
10.763
|
10.741
|
10.719
|
10.697
|
10.675
|
10.654
|
10.632
|
10.611
|
1Present value of monthly payments of $1 payable at the beginning of each month, starting with the year of entitlement and continuing up to age 65. Receipt of payment is contingent upon survival under all forms of decrement to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in table 22A. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
173.765
|
162.035
|
151.726
|
142.622
|
134.547
|
127.351
|
120.910
|
115.120
|
109.894
|
105.159
|
100.850
|
96.916
|
93.312
|
89.997
|
86.939
|
84.111
|
81.485
|
17
|
181.163
|
168.662
|
157.668
|
147.958
|
139.342
|
131.665
|
124.797
|
118.625
|
113.058
|
108.017
|
103.435
|
99.256
|
95.431
|
91.917
|
88.681
|
85.690
|
82.919
|
18
|
189.776
|
176.417
|
164.660
|
154.269
|
145.047
|
136.828
|
129.475
|
122.869
|
116.913
|
111.522
|
106.626
|
102.163
|
98.082
|
94.338
|
90.893
|
87.713
|
84.769
|
19
|
199.019
|
184.794
|
172.260
|
161.173
|
151.327
|
142.547
|
134.690
|
127.631
|
121.267
|
115.508
|
110.279
|
105.516
|
101.162
|
97.171
|
93.501
|
90.117
|
86.988
|
20
|
206.597
|
191.725
|
178.604
|
166.983
|
156.651
|
147.432
|
139.175
|
131.753
|
125.059
|
119.001
|
113.500
|
108.489
|
103.910
|
99.713
|
95.855
|
92.299
|
89.013
|
21
|
213.340
|
197.978
|
184.401
|
172.358
|
161.636
|
152.057
|
143.469
|
135.744
|
128.770
|
122.455
|
116.719
|
111.491
|
106.713
|
102.333
|
98.307
|
94.596
|
91.167
|
22
|
215.941
|
200.485
|
186.798
|
174.636
|
163.791
|
154.088
|
145.378
|
137.533
|
130.446
|
124.022
|
118.181
|
112.856
|
107.986
|
103.520
|
99.414
|
95.628
|
92.128
|
23
|
214.302
|
199.147
|
185.698
|
173.724
|
163.028
|
153.442
|
144.824
|
137.051
|
130.020
|
123.639
|
117.833
|
112.533
|
107.683
|
103.232
|
99.137
|
95.359
|
91.866
|
24
|
210.980
|
196.294
|
183.233
|
171.579
|
161.149
|
151.785
|
143.351
|
135.734
|
128.832
|
122.562
|
116.849
|
111.629
|
106.846
|
102.454
|
98.409
|
94.675
|
91.221
|
25
|
205.187
|
191.176
|
178.686
|
167.518
|
157.501
|
148.490
|
140.361
|
133.006
|
126.332
|
120.259
|
114.718
|
109.650
|
105.001
|
100.727
|
96.787
|
93.147
|
89.776
|
26
|
199.922
|
186.542
|
174.587
|
163.873
|
154.243
|
145.563
|
137.718
|
130.607
|
124.144
|
118.255
|
112.874
|
107.945
|
103.419
|
99.253
|
95.409
|
91.854
|
88.560
|
27
|
197.466
|
184.469
|
172.829
|
162.375
|
152.960
|
144.458
|
136.759
|
129.770
|
123.408
|
117.602
|
112.291
|
107.421
|
102.943
|
98.818
|
95.008
|
91.482
|
88.211
|
28
|
193.150
|
180.707
|
169.536
|
159.479
|
150.403
|
142.189
|
134.738
|
127.960
|
121.781
|
116.132
|
110.957
|
106.205
|
101.831
|
97.795
|
94.064
|
90.607
|
87.398
|
29
|
190.420
|
178.387
|
167.557
|
157.787
|
148.950
|
140.938
|
133.655
|
127.019
|
120.958
|
115.411
|
110.321
|
105.640
|
101.326
|
97.342
|
93.655
|
90.236
|
87.058
|
30
|
188.096
|
176.437
|
165.919
|
156.408
|
147.787
|
139.955
|
132.822
|
126.311
|
120.356
|
114.895
|
109.877
|
105.257
|
100.993
|
97.051
|
93.399
|
90.008
|
86.855
|
31
|
185.518
|
174.258
|
164.077
|
154.848
|
146.464
|
138.831
|
131.866
|
125.497
|
119.660
|
114.300
|
109.366
|
104.817
|
100.614
|
96.722
|
93.113
|
89.758
|
86.635
|
32
|
183.685
|
172.777
|
162.888
|
153.904
|
145.724
|
138.261
|
131.438
|
125.186
|
119.446
|
114.167
|
109.300
|
104.806
|
100.647
|
96.792
|
93.212
|
89.881
|
86.777
|
33
|
181.465
|
170.931
|
161.357
|
152.639
|
144.683
|
137.408
|
130.743
|
124.625
|
118.998
|
113.813
|
109.025
|
104.597
|
100.494
|
96.685
|
93.143
|
89.844
|
86.766
|
34
|
178.467
|
168.352
|
159.137
|
150.725
|
143.031
|
135.980
|
129.508
|
123.554
|
118.068
|
113.004
|
108.321
|
103.982
|
99.956
|
96.213
|
92.729
|
89.479
|
86.444
|
35
|
175.223
|
165.540
|
156.696
|
148.603
|
141.184
|
134.371
|
128.102
|
122.325
|
116.991
|
112.059
|
107.490
|
103.250
|
99.310
|
95.642
|
92.222
|
89.028
|
86.042
|
36
|
173.720
|
164.359
|
155.786
|
147.923
|
140.697
|
134.047
|
127.915
|
122.253
|
117.015
|
112.163
|
107.659
|
103.474
|
99.578
|
95.946
|
92.556
|
89.385
|
86.416
|
37
|
170.603
|
161.654
|
153.439
|
145.884
|
138.926
|
132.507
|
126.576
|
121.088
|
116.001
|
111.280
|
106.890
|
102.804
|
98.994
|
95.437
|
92.110
|
88.996
|
86.077
|
38
|
167.728
|
159.160
|
151.274
|
144.005
|
137.294
|
131.090
|
125.345
|
120.018
|
115.071
|
110.470
|
106.186
|
102.191
|
98.460
|
94.971
|
91.704
|
88.642
|
85.767
|
39
|
163.764
|
155.655
|
148.171
|
141.255
|
134.855
|
128.924
|
123.419
|
118.304
|
113.544
|
109.108
|
104.969
|
101.103
|
97.486
|
94.098
|
90.921
|
87.937
|
85.133
|
40
|
160.265
|
152.571
|
145.451
|
138.855
|
132.736
|
127.051
|
121.764
|
116.840
|
112.249
|
107.962
|
103.954
|
100.203
|
96.688
|
93.390
|
90.292
|
87.379
|
84.637
|
41
|
157.535
|
150.204
|
143.403
|
137.087
|
131.212
|
125.743
|
120.644
|
115.884
|
111.437
|
107.277
|
103.380
|
99.726
|
96.295
|
93.071
|
90.038
|
87.182
|
84.488
|
42
|
153.772
|
146.847
|
140.407
|
134.409
|
128.818
|
123.600
|
118.724
|
114.163
|
109.892
|
105.888
|
102.131
|
98.601
|
95.281
|
92.156
|
89.211
|
86.433
|
83.809
|
43
|
149.283
|
142.793
|
136.741
|
131.091
|
125.810
|
120.870
|
116.243
|
111.906
|
107.835
|
104.012
|
100.416
|
97.031
|
93.842
|
90.835
|
87.996
|
85.313
|
82.776
|
44
|
145.201
|
139.122
|
133.437
|
128.116
|
123.130
|
118.454
|
114.065
|
109.940
|
106.061
|
102.409
|
98.967
|
95.721
|
92.657
|
89.762
|
87.024
|
84.432
|
81.977
|
45
|
141.254
|
135.571
|
130.242
|
125.241
|
120.543
|
116.126
|
111.969
|
108.055
|
104.364
|
100.882
|
97.594
|
94.486
|
91.547
|
88.764
|
86.127
|
83.627
|
81.254
|
46
|
136.208
|
130.958
|
126.022
|
121.378
|
117.003
|
112.880
|
108.990
|
105.318
|
101.848
|
98.567
|
95.461
|
92.521
|
89.733
|
87.089
|
84.579
|
82.194
|
79.928
|
47
|
131.727
|
126.874
|
122.300
|
117.984
|
113.908
|
110.057
|
106.414
|
102.967
|
99.703
|
96.609
|
93.674
|
90.889
|
88.243
|
85.728
|
83.337
|
81.060
|
78.892
|
48
|
125.691
|
121.285
|
117.120
|
113.179
|
109.448
|
105.913
|
102.561
|
99.382
|
96.363
|
93.495
|
90.769
|
88.175
|
85.707
|
83.355
|
81.114
|
78.977
|
76.938
|
49
|
122.317
|
118.232
|
114.359
|
110.685
|
107.197
|
103.884
|
100.736
|
97.741
|
94.892
|
92.178
|
89.593
|
87.128
|
84.777
|
82.533
|
80.391
|
78.343
|
76.385
|
50
|
120.688
|
116.853
|
113.207
|
109.739
|
106.438
|
103.295
|
100.300
|
97.445
|
94.721
|
92.122
|
89.640
|
87.268
|
85.001
|
82.833
|
80.758
|
78.771
|
76.868
|
51
|
111.807
|
108.477
|
105.302
|
102.273
|
99.383
|
96.623
|
93.986
|
91.465
|
89.055
|
86.748
|
84.540
|
82.425
|
80.399
|
78.457
|
76.594
|
74.806
|
73.089
|
52
|
104.960
|
102.034
|
99.237
|
96.561
|
93.999
|
91.547
|
89.197
|
86.946
|
84.787
|
82.716
|
80.729
|
78.821
|
76.988
|
75.227
|
73.534
|
71.907
|
70.340
|
53
|
98.605
|
96.044
|
93.587
|
91.231
|
88.969
|
86.797
|
84.712
|
82.707
|
80.781
|
78.928
|
77.145
|
75.430
|
73.778
|
72.187
|
70.654
|
69.177
|
67.753
|
54
|
92.986
|
90.743
|
88.587
|
86.512
|
84.515
|
82.592
|
80.741
|
78.957
|
77.238
|
75.580
|
73.982
|
72.440
|
70.952
|
69.515
|
68.127
|
66.787
|
65.491
|
55
|
89.070
|
87.083
|
85.167
|
83.319
|
81.535
|
79.813
|
78.150
|
76.544
|
74.992
|
73.492
|
72.041
|
70.639
|
69.282
|
67.969
|
66.698
|
65.467
|
64.275
|
56
|
80.192
|
78.573
|
77.006
|
75.490
|
74.023
|
72.603
|
71.227
|
69.895
|
68.604
|
67.352
|
66.139
|
64.963
|
63.822
|
62.715
|
61.640
|
60.597
|
59.585
|
57
|
72.835
|
71.513
|
70.230
|
68.985
|
67.776
|
66.603
|
65.463
|
64.356
|
63.280
|
62.235
|
61.219
|
60.231
|
59.270
|
58.335
|
57.426
|
56.541
|
55.680
|
58
|
65.058
|
64.013
|
62.997
|
62.008
|
61.045
|
60.107
|
59.193
|
58.303
|
57.436
|
56.591
|
55.768
|
54.965
|
54.181
|
53.418
|
52.673
|
51.946
|
51.237
|
59
|
56.987
|
56.194
|
55.420
|
54.664
|
53.926
|
53.205
|
52.501
|
51.813
|
51.141
|
50.484
|
49.841
|
49.213
|
48.599
|
47.999
|
47.412
|
46.837
|
46.275
|
60
|
48.943
|
48.367
|
47.804
|
47.252
|
46.712
|
46.182
|
45.664
|
45.155
|
44.657
|
44.169
|
43.691
|
43.221
|
42.761
|
42.310
|
41.868
|
41.434
|
41.008
|
61
|
39.598
|
39.222
|
38.852
|
38.489
|
38.133
|
37.782
|
37.438
|
37.099
|
36.766
|
36.439
|
36.117
|
35.801
|
35.490
|
35.184
|
34.884
|
34.588
|
34.297
|
62
|
30.369
|
30.150
|
29.934
|
29.720
|
29.510
|
29.303
|
29.099
|
28.898
|
28.700
|
28.504
|
28.312
|
28.121
|
27.934
|
27.749
|
27.567
|
27.387
|
27.209
|
63
|
20.658
|
20.557
|
20.456
|
20.357
|
20.259
|
20.162
|
20.066
|
19.972
|
19.878
|
19.785
|
19.694
|
19.603
|
19.513
|
19.424
|
19.337
|
19.250
|
19.164
|
64
|
10.785
|
10.757
|
10.730
|
10.702
|
10.675
|
10.648
|
10.621
|
10.595
|
10.568
|
10.542
|
10.516
|
10.490
|
10.465
|
10.440
|
10.414
|
10.390
|
10.365
|
1Present value of monthly payments of $1 payable at the end of each month, starting with the year of entitlement and continuing up to age 65. Receipt of payment is contingent upon survival under all forms of decrement to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in table 22A. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
17.193
|
15.988
|
14.934
|
14.005
|
13.185
|
12.457
|
11.807
|
11.226
|
10.703
|
10.230
|
9.802
|
9.413
|
9.058
|
8.732
|
8.433
|
8.157
|
7.902
|
17
|
17.792
|
16.526
|
15.417
|
14.439
|
13.575
|
12.807
|
12.123
|
11.510
|
10.958
|
10.461
|
10.010
|
9.600
|
9.227
|
8.884
|
8.570
|
8.281
|
8.013
|
18
|
18.243
|
16.932
|
15.782
|
14.767
|
13.869
|
13.071
|
12.359
|
11.722
|
11.148
|
10.630
|
10.162
|
9.735
|
9.347
|
8.991
|
8.665
|
8.365
|
8.087
|
19
|
18.733
|
17.378
|
16.187
|
15.136
|
14.204
|
13.375
|
12.636
|
11.973
|
11.376
|
10.838
|
10.350
|
9.907
|
9.503
|
9.133
|
8.794
|
8.482
|
8.194
|
20
|
19.414
|
18.004
|
16.763
|
15.666
|
14.692
|
13.825
|
13.051
|
12.356
|
11.730
|
11.166
|
10.654
|
10.189
|
9.764
|
9.376
|
9.020
|
8.693
|
8.391
|
21
|
20.025
|
18.572
|
17.291
|
16.156
|
15.148
|
14.249
|
13.445
|
12.723
|
12.073
|
11.485
|
10.952
|
10.467
|
10.025
|
9.620
|
9.249
|
8.908
|
8.593
|
22
|
20.377
|
18.908
|
17.609
|
16.457
|
15.431
|
14.515
|
13.695
|
12.957
|
12.292
|
11.690
|
11.144
|
10.647
|
10.193
|
9.778
|
9.397
|
9.047
|
8.723
|
23
|
20.373
|
18.921
|
17.634
|
16.491
|
15.471
|
14.559
|
13.740
|
13.003
|
12.338
|
11.735
|
11.188
|
10.689
|
10.234
|
9.817
|
9.433
|
9.081
|
8.755
|
24
|
20.079
|
18.671
|
17.422
|
16.308
|
15.314
|
14.422
|
13.621
|
12.899
|
12.245
|
11.652
|
11.113
|
10.622
|
10.172
|
9.760
|
9.381
|
9.032
|
8.710
|
25
|
19.834
|
18.467
|
17.251
|
16.166
|
15.193
|
14.321
|
13.534
|
12.824
|
12.181
|
11.597
|
11.065
|
10.579
|
10.135
|
9.727
|
9.351
|
9.005
|
8.685
|
26
|
19.543
|
18.222
|
17.043
|
15.988
|
15.041
|
14.190
|
13.421
|
12.726
|
12.095
|
11.522
|
10.998
|
10.520
|
10.082
|
9.679
|
9.308
|
8.965
|
8.649
|
27
|
19.371
|
18.084
|
16.932
|
15.900
|
14.972
|
14.135
|
13.379
|
12.693
|
12.070
|
11.503
|
10.985
|
10.510
|
10.075
|
9.674
|
9.305
|
8.964
|
8.648
|
28
|
19.414
|
18.144
|
17.006
|
15.983
|
15.061
|
14.228
|
13.474
|
12.790
|
12.166
|
11.598
|
11.078
|
10.601
|
10.164
|
9.761
|
9.389
|
9.045
|
8.726
|
29
|
19.176
|
17.947
|
16.843
|
15.848
|
14.950
|
14.137
|
13.399
|
12.727
|
12.115
|
11.556
|
11.044
|
10.574
|
10.141
|
9.743
|
9.374
|
9.034
|
8.717
|
30
|
18.923
|
17.736
|
16.667
|
15.701
|
14.828
|
14.035
|
13.314
|
12.657
|
12.057
|
11.508
|
11.004
|
10.541
|
10.114
|
9.720
|
9.356
|
9.018
|
8.705
|
31
|
18.635
|
17.493
|
16.461
|
15.527
|
14.680
|
13.909
|
13.207
|
12.566
|
11.980
|
11.442
|
10.948
|
10.493
|
10.073
|
9.685
|
9.326
|
8.993
|
8.683
|
32
|
18.424
|
17.318
|
16.316
|
15.408
|
14.582
|
13.829
|
13.142
|
12.513
|
11.937
|
11.407
|
10.920
|
10.471
|
10.056
|
9.672
|
9.316
|
8.986
|
8.678
|
33
|
18.162
|
17.097
|
16.130
|
15.251
|
14.450
|
13.718
|
13.049
|
12.435
|
11.871
|
11.353
|
10.875
|
10.434
|
10.025
|
9.647
|
9.295
|
8.969
|
8.664
|
34
|
17.919
|
16.894
|
15.961
|
15.110
|
14.332
|
13.621
|
12.968
|
12.369
|
11.818
|
11.310
|
10.840
|
10.406
|
10.004
|
9.631
|
9.284
|
8.961
|
8.660
|
35
|
17.563
|
16.584
|
15.691
|
14.875
|
14.127
|
13.442
|
12.812
|
12.232
|
11.697
|
11.203
|
10.746
|
10.323
|
9.930
|
9.565
|
9.226
|
8.909
|
8.613
|
36
|
17.285
|
16.348
|
15.490
|
14.704
|
13.982
|
13.319
|
12.708
|
12.145
|
11.624
|
11.143
|
10.696
|
10.282
|
9.897
|
9.538
|
9.204
|
8.892
|
8.600
|
37
|
16.875
|
15.987
|
15.172
|
14.423
|
13.734
|
13.099
|
12.513
|
11.971
|
11.469
|
11.004
|
10.572
|
10.171
|
9.797
|
9.448
|
9.123
|
8.818
|
8.533
|
38
|
16.520
|
15.676
|
14.899
|
14.184
|
13.525
|
12.916
|
12.352
|
11.830
|
11.345
|
10.895
|
10.476
|
10.086
|
9.722
|
9.383
|
9.065
|
8.767
|
8.488
|
39
|
16.223
|
15.419
|
14.677
|
13.992
|
13.358
|
12.772
|
12.228
|
11.723
|
11.253
|
10.816
|
10.409
|
10.029
|
9.674
|
9.341
|
9.030
|
8.738
|
8.464
|
40
|
15.836
|
15.076
|
14.373
|
13.723
|
13.120
|
12.560
|
12.040
|
11.556
|
11.105
|
10.684
|
10.291
|
9.923
|
9.579
|
9.257
|
8.954
|
8.670
|
8.403
|
41
|
15.366
|
14.654
|
13.995
|
13.382
|
12.813
|
12.284
|
11.790
|
11.330
|
10.900
|
10.499
|
10.123
|
9.770
|
9.440
|
9.130
|
8.838
|
8.564
|
8.305
|
42
|
14.999
|
14.329
|
13.706
|
13.126
|
12.586
|
12.081
|
11.611
|
11.170
|
10.758
|
10.372
|
10.011
|
9.671
|
9.352
|
9.051
|
8.768
|
8.502
|
8.250
|
43
|
14.581
|
13.954
|
13.369
|
12.824
|
12.314
|
11.837
|
11.390
|
10.972
|
10.580
|
10.211
|
9.865
|
9.539
|
9.233
|
8.943
|
8.671
|
8.413
|
8.170
|
44
|
14.098
|
13.516
|
12.973
|
12.464
|
11.988
|
11.541
|
11.122
|
10.728
|
10.358
|
10.009
|
9.681
|
9.372
|
9.080
|
8.804
|
8.543
|
8.297
|
8.063
|
45
|
13.605
|
13.068
|
12.565
|
12.093
|
11.649
|
11.232
|
10.840
|
10.470
|
10.122
|
9.793
|
9.483
|
9.190
|
8.913
|
8.651
|
8.403
|
8.168
|
7.945
|
46
|
13.085
|
12.592
|
12.129
|
11.693
|
11.283
|
10.896
|
10.531
|
10.186
|
9.861
|
9.553
|
9.262
|
8.986
|
8.725
|
8.477
|
8.242
|
8.019
|
7.807
|
47
|
12.534
|
12.086
|
11.663
|
11.263
|
10.886
|
10.530
|
10.193
|
9.874
|
9.572
|
9.286
|
9.014
|
8.757
|
8.512
|
8.279
|
8.058
|
7.848
|
7.648
|
48
|
12.015
|
11.607
|
11.222
|
10.857
|
10.512
|
10.185
|
9.874
|
9.580
|
9.300
|
9.035
|
8.782
|
8.542
|
8.313
|
8.096
|
7.888
|
7.690
|
7.501
|
49
|
11.549
|
11.178
|
10.827
|
10.493
|
10.177
|
9.876
|
9.590
|
9.318
|
9.059
|
8.812
|
8.577
|
8.353
|
8.139
|
7.935
|
7.740
|
7.553
|
7.375
|
50
|
11.270
|
10.928
|
10.603
|
10.293
|
9.998
|
9.717
|
9.450
|
9.194
|
8.950
|
8.718
|
8.495
|
8.283
|
8.080
|
7.886
|
7.700
|
7.522
|
7.351
|
51
|
10.515
|
10.218
|
9.934
|
9.664
|
9.405
|
9.158
|
8.922
|
8.696
|
8.480
|
8.273
|
8.075
|
7.885
|
7.703
|
7.529
|
7.362
|
7.201
|
7.047
|
52
|
9.890
|
9.630
|
9.382
|
9.144
|
8.916
|
8.697
|
8.488
|
8.287
|
8.095
|
7.910
|
7.732
|
7.562
|
7.398
|
7.241
|
7.089
|
6.943
|
6.803
|
53
|
9.241
|
9.017
|
8.802
|
8.596
|
8.398
|
8.208
|
8.025
|
7.849
|
7.680
|
7.517
|
7.361
|
7.210
|
7.064
|
6.924
|
6.789
|
6.659
|
6.533
|
54
|
8.617
|
8.426
|
8.242
|
8.065
|
7.894
|
7.730
|
7.572
|
7.419
|
7.271
|
7.129
|
6.992
|
6.859
|
6.731
|
6.608
|
6.488
|
6.373
|
6.261
|
55
|
8.093
|
7.929
|
7.772
|
7.619
|
7.472
|
7.330
|
7.192
|
7.059
|
6.931
|
6.806
|
6.686
|
6.569
|
6.456
|
6.347
|
6.241
|
6.139
|
6.039
|
56
|
7.311
|
7.179
|
7.052
|
6.929
|
6.809
|
6.693
|
6.581
|
6.472
|
6.366
|
6.264
|
6.164
|
6.068
|
5.974
|
5.883
|
5.795
|
5.709
|
5.625
|
57
|
6.596
|
6.492
|
6.391
|
6.292
|
6.196
|
6.103
|
6.013
|
5.925
|
5.839
|
5.755
|
5.674
|
5.595
|
5.518
|
5.444
|
5.371
|
5.300
|
5.230
|
58
|
5.870
|
5.790
|
5.712
|
5.636
|
5.561
|
5.489
|
5.418
|
5.350
|
5.283
|
5.217
|
5.153
|
5.091
|
5.030
|
4.970
|
4.912
|
4.855
|
4.800
|
59
|
5.111
|
5.052
|
4.995
|
4.939
|
4.885
|
4.831
|
4.779
|
4.728
|
4.678
|
4.629
|
4.581
|
4.534
|
4.489
|
4.444
|
4.400
|
4.356
|
4.314
|
60
|
4.363
|
4.322
|
4.283
|
4.244
|
4.207
|
4.169
|
4.133
|
4.097
|
4.062
|
4.028
|
3.994
|
3.961
|
3.928
|
3.896
|
3.864
|
3.834
|
3.803
|
61
|
3.538
|
3.513
|
3.489
|
3.466
|
3.442
|
3.420
|
3.397
|
3.375
|
3.353
|
3.332
|
3.310
|
3.290
|
3.269
|
3.249
|
3.229
|
3.209
|
3.190
|
62
|
2.728
|
2.716
|
2.703
|
2.691
|
2.679
|
2.667
|
2.655
|
2.644
|
2.632
|
2.621
|
2.609
|
2.598
|
2.587
|
2.577
|
2.566
|
2.555
|
2.545
|
63
|
1.876
|
1.872
|
1.867
|
1.863
|
1.859
|
1.855
|
1.851
|
1.847
|
1.843
|
1.839
|
1.835
|
1.831
|
1.827
|
1.823
|
1.819
|
1.815
|
1.812
|
64
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1.000
|
1Present value of annual payments of $1 payable at the beginning of each year, starting with the year of entitlement and continuing up to age 65. Receipt of payment is contingent upon survival under all forms of decrement to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in table 22B. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
16.300
|
15.073
|
14.000
|
13.058
|
12.226
|
11.489
|
10.833
|
10.246
|
9.719
|
9.243
|
8.812
|
8.421
|
8.064
|
7.737
|
7.437
|
7.160
|
6.904
|
17
|
16.913
|
15.621
|
14.492
|
13.499
|
12.622
|
11.845
|
11.152
|
10.533
|
9.977
|
9.476
|
9.022
|
8.610
|
8.234
|
7.890
|
7.575
|
7.284
|
7.016
|
18
|
17.376
|
16.038
|
14.865
|
13.834
|
12.922
|
12.114
|
11.393
|
10.748
|
10.169
|
9.648
|
9.175
|
8.746
|
8.356
|
7.998
|
7.671
|
7.369
|
7.091
|
19
|
17.879
|
16.495
|
15.280
|
14.210
|
13.264
|
12.423
|
11.674
|
11.003
|
10.401
|
9.858
|
9.366
|
8.920
|
8.513
|
8.141
|
7.801
|
7.487
|
7.198
|
20
|
18.576
|
17.134
|
15.867
|
14.749
|
13.759
|
12.879
|
12.094
|
11.391
|
10.759
|
10.188
|
9.672
|
9.204
|
8.776
|
8.386
|
8.028
|
7.699
|
7.396
|
21
|
19.203
|
17.715
|
16.406
|
15.249
|
14.223
|
13.310
|
12.494
|
11.763
|
11.105
|
10.511
|
9.973
|
9.484
|
9.039
|
8.632
|
8.258
|
7.915
|
7.599
|
22
|
19.569
|
18.063
|
16.734
|
15.558
|
14.513
|
13.582
|
12.749
|
12.001
|
11.328
|
10.719
|
10.168
|
9.667
|
9.209
|
8.791
|
8.408
|
8.055
|
7.730
|
23
|
19.575
|
18.085
|
16.767
|
15.599
|
14.559
|
13.631
|
12.799
|
12.052
|
11.377
|
10.768
|
10.214
|
9.711
|
9.252
|
8.831
|
8.446
|
8.091
|
7.763
|
24
|
19.286
|
17.841
|
16.560
|
15.422
|
14.407
|
13.499
|
12.684
|
11.950
|
11.287
|
10.687
|
10.142
|
9.645
|
9.192
|
8.776
|
8.395
|
8.043
|
7.719
|
25
|
19.048
|
17.643
|
16.396
|
15.284
|
14.291
|
13.401
|
12.601
|
11.879
|
11.226
|
10.635
|
10.096
|
9.605
|
9.156
|
8.744
|
8.366
|
8.017
|
7.695
|
26
|
18.764
|
17.404
|
16.193
|
15.112
|
14.144
|
13.275
|
12.492
|
11.785
|
11.144
|
10.562
|
10.032
|
9.548
|
9.105
|
8.698
|
8.324
|
7.979
|
7.660
|
27
|
18.600
|
17.274
|
16.090
|
15.031
|
14.081
|
13.226
|
12.454
|
11.756
|
11.123
|
10.547
|
10.021
|
9.541
|
9.100
|
8.696
|
8.323
|
7.979
|
7.661
|
28
|
18.656
|
17.346
|
16.174
|
15.123
|
14.178
|
13.326
|
12.556
|
11.858
|
11.224
|
10.646
|
10.118
|
9.635
|
9.192
|
8.785
|
8.409
|
8.062
|
7.741
|
29
|
18.427
|
17.157
|
16.019
|
14.996
|
14.074
|
13.241
|
12.486
|
11.801
|
11.177
|
10.608
|
10.088
|
9.611
|
9.173
|
8.769
|
8.397
|
8.053
|
7.734
|
30
|
18.182
|
16.954
|
15.851
|
14.856
|
13.958
|
13.145
|
12.407
|
11.736
|
11.123
|
10.564
|
10.052
|
9.581
|
9.148
|
8.749
|
8.381
|
8.040
|
7.723
|
31
|
17.903
|
16.719
|
15.653
|
14.689
|
13.817
|
13.026
|
12.306
|
11.650
|
11.051
|
10.503
|
10.000
|
9.537
|
9.111
|
8.718
|
8.354
|
8.016
|
7.703
|
32
|
17.703
|
16.555
|
15.518
|
14.579
|
13.728
|
12.953
|
12.248
|
11.604
|
11.014
|
10.474
|
9.977
|
9.520
|
9.098
|
8.708
|
8.347
|
8.012
|
7.701
|
33
|
17.451
|
16.344
|
15.341
|
14.432
|
13.604
|
12.850
|
12.162
|
11.532
|
10.955
|
10.425
|
9.937
|
9.487
|
9.071
|
8.686
|
8.329
|
7.998
|
7.690
|
34
|
17.220
|
16.152
|
15.182
|
14.300
|
13.496
|
12.762
|
12.090
|
11.474
|
10.908
|
10.388
|
9.908
|
9.464
|
9.054
|
8.674
|
8.322
|
7.994
|
7.688
|
35
|
16.873
|
15.852
|
14.922
|
14.074
|
13.300
|
12.591
|
11.940
|
11.343
|
10.794
|
10.287
|
9.819
|
9.386
|
8.985
|
8.613
|
8.267
|
7.945
|
7.644
|
36
|
16.607
|
15.627
|
14.732
|
13.914
|
13.165
|
12.478
|
11.846
|
11.265
|
10.729
|
10.234
|
9.776
|
9.351
|
8.957
|
8.591
|
8.250
|
7.932
|
7.635
|
37
|
16.207
|
15.276
|
14.424
|
13.642
|
12.925
|
12.266
|
11.659
|
11.099
|
10.581
|
10.102
|
9.658
|
9.246
|
8.863
|
8.506
|
8.173
|
7.863
|
7.572
|
38
|
15.863
|
14.976
|
14.162
|
13.415
|
12.727
|
12.093
|
11.508
|
10.966
|
10.465
|
10.001
|
9.569
|
9.168
|
8.795
|
8.446
|
8.121
|
7.817
|
7.532
|
39
|
15.581
|
14.733
|
13.954
|
13.236
|
12.573
|
11.961
|
11.395
|
10.870
|
10.384
|
9.931
|
9.511
|
9.119
|
8.753
|
8.412
|
8.092
|
7.793
|
7.513
|
40
|
15.206
|
14.403
|
13.663
|
12.979
|
12.346
|
11.761
|
11.218
|
10.714
|
10.245
|
9.808
|
9.401
|
9.022
|
8.667
|
8.335
|
8.024
|
7.732
|
7.458
|
41
|
14.746
|
13.993
|
13.295
|
12.650
|
12.051
|
11.495
|
10.979
|
10.498
|
10.050
|
9.632
|
9.242
|
8.877
|
8.535
|
8.215
|
7.914
|
7.632
|
7.367
|
42
|
14.396
|
13.683
|
13.022
|
12.408
|
11.838
|
11.307
|
10.813
|
10.351
|
9.921
|
9.518
|
9.141
|
8.788
|
8.457
|
8.146
|
7.853
|
7.578
|
7.319
|
43
|
13.993
|
13.323
|
12.701
|
12.121
|
11.581
|
11.077
|
10.606
|
10.166
|
9.755
|
9.369
|
9.007
|
8.667
|
8.348
|
8.048
|
7.765
|
7.499
|
7.247
|
44
|
13.522
|
12.898
|
12.318
|
11.775
|
11.269
|
10.795
|
10.351
|
9.935
|
9.545
|
9.179
|
8.835
|
8.511
|
8.206
|
7.918
|
7.647
|
7.391
|
7.149
|
45
|
13.043
|
12.465
|
11.924
|
11.419
|
10.945
|
10.500
|
10.083
|
9.692
|
9.323
|
8.976
|
8.650
|
8.342
|
8.051
|
7.777
|
7.518
|
7.272
|
7.040
|
46
|
12.536
|
12.003
|
11.503
|
11.034
|
10.594
|
10.180
|
9.790
|
9.423
|
9.077
|
8.750
|
8.442
|
8.151
|
7.876
|
7.615
|
7.369
|
7.135
|
6.913
|
47
|
11.999
|
11.511
|
11.052
|
10.620
|
10.213
|
9.829
|
9.468
|
9.126
|
8.803
|
8.498
|
8.209
|
7.936
|
7.677
|
7.431
|
7.198
|
6.976
|
6.766
|
48
|
11.495
|
11.049
|
10.628
|
10.231
|
9.856
|
9.502
|
9.166
|
8.849
|
8.548
|
8.264
|
7.993
|
7.737
|
7.493
|
7.262
|
7.042
|
6.832
|
6.633
|
49
|
11.050
|
10.641
|
10.255
|
9.889
|
9.543
|
9.215
|
8.904
|
8.608
|
8.328
|
8.061
|
7.808
|
7.567
|
7.338
|
7.119
|
6.911
|
6.713
|
6.523
|
50
|
10.808
|
10.427
|
10.067
|
9.724
|
9.399
|
9.090
|
8.796
|
8.517
|
8.251
|
7.997
|
7.756
|
7.526
|
7.306
|
7.097
|
6.896
|
6.705
|
6.522
|
51
|
10.060
|
9.726
|
9.409
|
9.107
|
8.819
|
8.545
|
8.283
|
8.034
|
7.796
|
7.569
|
7.352
|
7.144
|
6.946
|
6.756
|
6.575
|
6.401
|
6.234
|
52
|
9.452
|
9.158
|
8.876
|
8.608
|
8.351
|
8.106
|
7.872
|
7.648
|
7.434
|
7.229
|
7.032
|
6.844
|
6.664
|
6.490
|
6.324
|
6.165
|
6.012
|
53
|
8.818
|
8.561
|
8.315
|
8.080
|
7.855
|
7.639
|
7.431
|
7.233
|
7.042
|
6.860
|
6.684
|
6.515
|
6.353
|
6.197
|
6.048
|
5.903
|
5.765
|
54
|
8.217
|
7.994
|
7.780
|
7.575
|
7.378
|
7.188
|
7.006
|
6.831
|
6.663
|
6.501
|
6.344
|
6.194
|
6.049
|
5.910
|
5.775
|
5.645
|
5.520
|
55
|
7.731
|
7.537
|
7.350
|
7.170
|
6.997
|
6.830
|
6.669
|
6.514
|
6.364
|
6.219
|
6.080
|
5.945
|
5.815
|
5.689
|
5.568
|
5.451
|
5.337
|
56
|
6.957
|
6.797
|
6.643
|
6.495
|
6.351
|
6.212
|
6.078
|
5.948
|
5.822
|
5.701
|
5.583
|
5.469
|
5.359
|
5.252
|
5.148
|
5.048
|
4.951
|
57
|
6.263
|
6.133
|
6.007
|
5.885
|
5.766
|
5.652
|
5.540
|
5.432
|
5.328
|
5.226
|
5.127
|
5.032
|
4.939
|
4.849
|
4.761
|
4.676
|
4.593
|
58
|
5.561
|
5.457
|
5.357
|
5.259
|
5.164
|
5.071
|
4.982
|
4.894
|
4.809
|
4.726
|
4.646
|
4.567
|
4.491
|
4.417
|
4.344
|
4.274
|
4.205
|
59
|
4.822
|
4.743
|
4.666
|
4.590
|
4.517
|
4.446
|
4.376
|
4.308
|
4.241
|
4.177
|
4.114
|
4.052
|
3.992
|
3.933
|
3.875
|
3.819
|
3.764
|
60
|
4.105
|
4.047
|
3.990
|
3.934
|
3.879
|
3.826
|
3.774
|
3.723
|
3.673
|
3.624
|
3.577
|
3.530
|
3.484
|
3.439
|
3.395
|
3.352
|
3.310
|
61
|
3.294
|
3.255
|
3.217
|
3.179
|
3.142
|
3.106
|
3.070
|
3.035
|
3.001
|
2.967
|
2.934
|
2.901
|
2.869
|
2.838
|
2.807
|
2.777
|
2.748
|
62
|
2.514
|
2.490
|
2.466
|
2.442
|
2.419
|
2.397
|
2.374
|
2.353
|
2.331
|
2.310
|
2.289
|
2.268
|
2.248
|
2.228
|
2.208
|
2.189
|
2.170
|
63
|
1.682
|
1.670
|
1.658
|
1.646
|
1.634
|
1.622
|
1.611
|
1.599
|
1.588
|
1.577
|
1.566
|
1.556
|
1.545
|
1.534
|
1.524
|
1.514
|
1.504
|
64
|
0.855
|
0.851
|
0.847
|
0.843
|
0.839
|
0.834
|
0.830
|
0.826
|
0.823
|
0.819
|
0.815
|
0.811
|
0.807
|
0.803
|
0.800
|
0.796
|
0.792
|
1Present value of annual payments of $1 payable at the end of each year, starting with the year of entitlement and continuing up to age 65. Receipt of payment is contingent upon survival under all forms of decrement to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in table 22B. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
201.389
|
186.801
|
174.036
|
162.813
|
152.901
|
144.106
|
136.268
|
129.253
|
122.948
|
117.257
|
112.101
|
107.412
|
103.132
|
99.212
|
95.609
|
92.288
|
89.216
|
17
|
208.655
|
193.317
|
179.882
|
168.061
|
157.614
|
148.342
|
140.077
|
132.680
|
126.033
|
120.036
|
114.605
|
109.669
|
105.167
|
101.046
|
97.263
|
93.778
|
90.559
|
18
|
214.136
|
198.246
|
184.310
|
172.036
|
161.179
|
151.538
|
142.940
|
135.242
|
128.324
|
122.083
|
116.433
|
111.299
|
106.618
|
102.336
|
98.407
|
94.791
|
91.453
|
19
|
220.082
|
203.653
|
189.224
|
176.499
|
165.232
|
155.218
|
146.281
|
138.277
|
131.080
|
124.587
|
118.708
|
113.366
|
108.497
|
104.044
|
99.960
|
96.203
|
92.736
|
20
|
228.346
|
211.245
|
196.200
|
182.913
|
171.134
|
160.653
|
151.292
|
142.901
|
135.352
|
128.539
|
122.368
|
116.760
|
111.648
|
106.974
|
102.688
|
98.745
|
95.109
|
21
|
235.761
|
218.133
|
202.597
|
188.853
|
176.651
|
165.779
|
156.058
|
147.335
|
139.482
|
132.388
|
125.959
|
120.115
|
114.785
|
109.911
|
105.440
|
101.328
|
97.536
|
22
|
240.068
|
222.225
|
206.468
|
192.503
|
180.084
|
169.003
|
159.080
|
150.167
|
142.133
|
134.869
|
128.281
|
122.288
|
116.820
|
111.817
|
107.226
|
103.003
|
99.107
|
23
|
240.074
|
222.431
|
206.817
|
192.952
|
180.599
|
169.557
|
159.655
|
150.747
|
142.708
|
135.431
|
128.825
|
122.810
|
117.317
|
112.287
|
107.670
|
103.419
|
99.497
|
24
|
236.570
|
219.466
|
204.294
|
190.791
|
178.737
|
167.942
|
158.244
|
149.505
|
141.608
|
134.449
|
127.942
|
122.010
|
116.587
|
111.617
|
107.051
|
102.844
|
98.959
|
25
|
233.670
|
217.055
|
202.282
|
189.106
|
177.319
|
166.743
|
157.225
|
148.634
|
140.858
|
133.800
|
127.375
|
121.511
|
116.146
|
111.223
|
106.695
|
102.521
|
98.664
|
26
|
230.218
|
214.142
|
199.813
|
187.005
|
175.523
|
165.199
|
155.892
|
147.476
|
139.847
|
132.912
|
126.590
|
120.813
|
115.521
|
110.660
|
106.185
|
102.056
|
98.237
|
27
|
228.197
|
212.529
|
198.531
|
185.991
|
174.724
|
164.576
|
155.409
|
147.106
|
139.567
|
132.704
|
126.439
|
120.708
|
115.450
|
110.617
|
106.164
|
102.050
|
98.243
|
28
|
228.790
|
213.323
|
199.472
|
187.036
|
175.840
|
165.735
|
156.590
|
148.294
|
140.749
|
133.870
|
127.583
|
121.824
|
116.535
|
111.668
|
107.179
|
103.029
|
99.185
|
29
|
225.978
|
211.002
|
197.558
|
185.458
|
174.541
|
164.666
|
155.713
|
147.576
|
140.162
|
133.392
|
127.195
|
121.511
|
116.284
|
111.467
|
107.020
|
102.905
|
99.090
|
30
|
222.988
|
208.514
|
195.488
|
183.737
|
173.110
|
163.478
|
154.727
|
146.759
|
139.486
|
132.833
|
126.733
|
121.130
|
115.971
|
111.211
|
106.811
|
102.735
|
98.952
|
31
|
219.585
|
205.641
|
193.061
|
181.684
|
171.373
|
162.007
|
153.481
|
145.701
|
138.587
|
132.069
|
126.084
|
120.578
|
115.500
|
110.810
|
106.469
|
102.443
|
98.702
|
32
|
217.107
|
203.598
|
191.380
|
180.306
|
170.246
|
161.089
|
152.735
|
145.099
|
138.105
|
131.686
|
125.782
|
120.342
|
115.320
|
110.674
|
106.369
|
102.373
|
98.656
|
33
|
214.022
|
201.004
|
189.200
|
178.475
|
168.710
|
159.801
|
151.658
|
144.199
|
137.355
|
131.062
|
125.265
|
119.914
|
114.968
|
110.386
|
106.135
|
102.183
|
98.504
|
34
|
211.174
|
198.627
|
187.221
|
176.831
|
167.349
|
158.680
|
150.739
|
143.451
|
136.750
|
130.577
|
124.882
|
119.617
|
114.742
|
110.221
|
106.019
|
102.110
|
98.465
|
35
|
206.949
|
194.963
|
184.038
|
174.063
|
164.938
|
156.575
|
148.898
|
141.839
|
135.335
|
129.333
|
123.785
|
118.648
|
113.884
|
109.458
|
105.340
|
101.503
|
97.922
|
36
|
203.681
|
192.188
|
181.686
|
172.072
|
163.256
|
155.159
|
147.708
|
140.842
|
134.505
|
128.645
|
123.218
|
118.185
|
113.510
|
109.160
|
105.107
|
101.325
|
97.790
|
37
|
198.818
|
187.914
|
177.923
|
168.754
|
160.325
|
152.565
|
145.408
|
138.799
|
132.686
|
127.022
|
121.767
|
116.884
|
112.341
|
108.107
|
104.156
|
100.463
|
97.008
|
38
|
194.611
|
184.243
|
174.717
|
165.952
|
157.875
|
150.421
|
143.531
|
137.155
|
131.244
|
125.757
|
120.657
|
115.909
|
111.484
|
107.353
|
103.493
|
99.879
|
96.493
|
39
|
191.133
|
181.238
|
172.122
|
163.714
|
155.947
|
148.761
|
142.106
|
135.932
|
130.198
|
124.864
|
119.897
|
115.264
|
110.939
|
106.895
|
103.110
|
99.562
|
96.233
|
40
|
186.551
|
177.193
|
168.549
|
160.554
|
153.150
|
146.285
|
139.910
|
133.984
|
128.468
|
123.326
|
118.529
|
114.046
|
109.852
|
105.925
|
102.243
|
98.786
|
95.537
|
41
|
180.970
|
172.195
|
164.068
|
156.532
|
149.534
|
143.029
|
136.976
|
131.334
|
126.072
|
121.156
|
116.560
|
112.257
|
108.224
|
104.440
|
100.886
|
97.544
|
94.399
|
42
|
176.660
|
168.379
|
160.688
|
153.538
|
146.882
|
140.679
|
134.893
|
129.489
|
124.436
|
119.707
|
115.276
|
111.119
|
107.216
|
103.548
|
100.096
|
96.845
|
93.780
|
43
|
171.729
|
163.964
|
156.733
|
149.991
|
143.700
|
137.823
|
132.327
|
127.182
|
122.361
|
117.839
|
113.593
|
109.602
|
105.847
|
102.311
|
98.978
|
95.833
|
92.864
|
44
|
165.993
|
158.783
|
152.049
|
145.755
|
139.866
|
134.350
|
129.178
|
124.326
|
119.767
|
115.482
|
111.449
|
107.651
|
104.071
|
100.692
|
97.501
|
94.485
|
91.631
|
45
|
160.158
|
153.486
|
147.237
|
141.379
|
135.884
|
130.724
|
125.874
|
121.311
|
117.016
|
112.968
|
109.151
|
105.547
|
102.143
|
98.924
|
95.879
|
92.995
|
90.261
|
46
|
153.989
|
147.852
|
142.088
|
136.670
|
131.573
|
126.775
|
122.253
|
117.989
|
113.965
|
110.165
|
106.572
|
103.173
|
99.956
|
96.907
|
94.016
|
91.274
|
88.669
|
47
|
147.459
|
141.853
|
136.574
|
131.597
|
126.903
|
122.471
|
118.285
|
114.327
|
110.583
|
107.038
|
103.679
|
100.495
|
97.473
|
94.605
|
91.879
|
89.288
|
86.822
|
48
|
141.309
|
136.202
|
131.378
|
126.819
|
122.506
|
118.424
|
114.557
|
110.892
|
107.417
|
104.118
|
100.985
|
98.007
|
95.176
|
92.482
|
89.917
|
87.473
|
85.143
|
49
|
135.832
|
131.173
|
126.759
|
122.575
|
118.607
|
114.840
|
111.264
|
107.865
|
104.634
|
101.559
|
98.633
|
95.845
|
93.188
|
90.654
|
88.236
|
85.928
|
83.723
|
50
|
132.693
|
128.372
|
124.268
|
120.367
|
116.656
|
113.125
|
109.764
|
106.561
|
103.508
|
100.597
|
97.819
|
95.167
|
92.634
|
90.213
|
87.898
|
85.683
|
83.563
|
51
|
123.671
|
119.899
|
116.305
|
112.878
|
109.610
|
106.492
|
103.514
|
100.670
|
97.952
|
95.352
|
92.866
|
90.486
|
88.207
|
86.024
|
83.932
|
81.925
|
80.001
|
52
|
116.267
|
112.953
|
109.785
|
106.757
|
103.860
|
101.088
|
98.434
|
95.892
|
93.456
|
91.121
|
88.881
|
86.733
|
84.670
|
82.689
|
80.786
|
78.957
|
77.199
|
53
|
108.555
|
105.684
|
102.933
|
100.294
|
97.763
|
95.334
|
93.002
|
90.762
|
88.610
|
86.541
|
84.552
|
82.638
|
80.796
|
79.023
|
77.316
|
75.671
|
74.086
|
54
|
101.197
|
98.726
|
96.351
|
94.067
|
91.869
|
89.754
|
87.717
|
85.756
|
83.866
|
82.045
|
80.289
|
78.596
|
76.962
|
75.385
|
73.863
|
72.393
|
70.973
|
55
|
95.118
|
92.985
|
90.928
|
88.945
|
87.030
|
85.183
|
83.399
|
81.676
|
80.012
|
78.404
|
76.849
|
75.346
|
73.891
|
72.485
|
71.123
|
69.805
|
68.529
|
56
|
85.776
|
84.041
|
82.363
|
80.740
|
79.168
|
77.647
|
76.174
|
74.747
|
73.365
|
72.026
|
70.727
|
69.468
|
68.247
|
67.062
|
65.913
|
64.797
|
63.714
|
57
|
77.317
|
75.919
|
74.563
|
73.247
|
71.970
|
70.730
|
69.525
|
68.355
|
67.218
|
66.113
|
65.039
|
63.995
|
62.979
|
61.992
|
61.031
|
60.096
|
59.186
|
58
|
68.733
|
67.640
|
66.576
|
65.540
|
64.531
|
63.549
|
62.592
|
61.660
|
60.752
|
59.867
|
59.005
|
58.163
|
57.343
|
56.543
|
55.763
|
55.001
|
54.258
|
59
|
59.734
|
58.917
|
58.119
|
57.339
|
56.578
|
55.834
|
55.108
|
54.398
|
53.705
|
53.027
|
52.364
|
51.716
|
51.082
|
50.462
|
49.856
|
49.263
|
48.682
|
60
|
50.928
|
50.344
|
49.773
|
49.213
|
48.664
|
48.127
|
47.600
|
47.084
|
46.578
|
46.082
|
45.596
|
45.119
|
44.651
|
44.193
|
43.743
|
43.302
|
42.869
|
61
|
41.110
|
40.733
|
40.363
|
39.999
|
39.641
|
39.290
|
38.945
|
38.605
|
38.271
|
37.943
|
37.620
|
37.303
|
36.991
|
36.684
|
36.382
|
36.085
|
35.792
|
62
|
31.556
|
31.339
|
31.125
|
30.915
|
30.707
|
30.502
|
30.300
|
30.101
|
29.905
|
29.711
|
29.520
|
29.332
|
29.146
|
28.963
|
28.782
|
28.604
|
28.428
|
63
|
21.440
|
21.343
|
21.247
|
21.152
|
21.057
|
20.964
|
20.872
|
20.781
|
20.691
|
20.602
|
20.514
|
20.427
|
20.341
|
20.256
|
20.171
|
20.088
|
20.005
|
64
|
11.200
|
11.176
|
11.151
|
11.127
|
11.103
|
11.079
|
11.056
|
11.032
|
11.009
|
10.986
|
10.963
|
10.940
|
10.918
|
10.895
|
10.873
|
10.851
|
10.829
|
1Present value of monthly payments of $1 payable at the beginning of each month, starting with the year of entitlement and continuing up to age 65. Receipt of payment is contingent upon survival under all forms of decrement to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in table 22B. |
Select
age |
Actuarial present value of $1 annuity
|
||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1.0%
|
1.5%
|
2.0%
|
2.5%
|
3.0%
|
3.5%
|
4.0%
|
4.5%
|
5.0%
|
5.5%
|
6.0%
|
6.5%
|
7.0%
|
7.5%
|
8.0%
|
8.5%
|
9.0%
|
|
16
|
200.496
|
185.885
|
173.102
|
161.865
|
151.942
|
143.138
|
135.294
|
128.273
|
121.964
|
116.270
|
111.111
|
106.420
|
102.139
|
98.217
|
94.613
|
91.291
|
88.219
|
17
|
207.775
|
192.412
|
178.957
|
167.120
|
156.661
|
147.379
|
139.107
|
131.704
|
125.052
|
119.051
|
113.617
|
108.679
|
104.174
|
100.052
|
96.268
|
92.782
|
89.563
|
18
|
213.269
|
197.352
|
183.394
|
171.102
|
160.232
|
150.580
|
141.973
|
134.269
|
127.346
|
121.101
|
115.447
|
110.310
|
105.626
|
101.343
|
97.413
|
93.795
|
90.457
|
19
|
219.228
|
202.770
|
188.317
|
175.573
|
164.292
|
154.265
|
145.320
|
137.307
|
130.105
|
123.607
|
117.724
|
112.379
|
107.507
|
103.052
|
98.967
|
95.208
|
91.741
|
20
|
227.509
|
210.375
|
195.304
|
181.996
|
170.201
|
159.707
|
150.335
|
141.936
|
134.381
|
127.562
|
121.386
|
115.775
|
110.660
|
105.984
|
101.696
|
97.752
|
94.114
|
21
|
234.939
|
217.277
|
201.712
|
187.946
|
175.726
|
164.840
|
155.107
|
146.375
|
138.514
|
131.414
|
124.981
|
119.132
|
113.799
|
108.922
|
104.449
|
100.335
|
96.542
|
22
|
239.259
|
221.380
|
205.593
|
191.605
|
179.167
|
168.070
|
158.135
|
149.211
|
141.169
|
133.899
|
127.305
|
121.308
|
115.836
|
110.830
|
106.237
|
102.012
|
98.114
|
23
|
239.275
|
221.595
|
205.950
|
192.060
|
179.687
|
168.629
|
158.714
|
149.795
|
141.747
|
134.464
|
127.852
|
121.831
|
116.335
|
111.302
|
106.682
|
102.429
|
98.505
|
24
|
235.778
|
218.636
|
203.432
|
189.905
|
177.830
|
167.018
|
157.306
|
148.557
|
140.650
|
133.484
|
126.970
|
121.033
|
115.607
|
110.634
|
106.064
|
101.855
|
97.968
|
25
|
232.884
|
216.231
|
201.427
|
188.225
|
176.417
|
165.824
|
156.291
|
147.689
|
139.904
|
132.837
|
126.406
|
120.537
|
115.167
|
110.241
|
105.710
|
101.533
|
97.674
|
26
|
229.439
|
213.324
|
198.964
|
186.129
|
174.625
|
164.284
|
154.962
|
146.535
|
138.896
|
131.952
|
125.624
|
119.841
|
114.544
|
109.679
|
105.202
|
101.070
|
97.249
|
27
|
227.426
|
211.719
|
197.689
|
185.122
|
173.833
|
163.666
|
154.484
|
146.169
|
138.620
|
131.748
|
125.476
|
119.738
|
114.476
|
109.639
|
105.182
|
101.065
|
97.256
|
28
|
228.032
|
212.524
|
198.640
|
186.176
|
174.957
|
164.833
|
155.672
|
147.363
|
139.807
|
132.918
|
126.624
|
120.858
|
115.564
|
110.692
|
106.199
|
102.046
|
98.200
|
29
|
225.229
|
210.212
|
196.733
|
184.605
|
173.664
|
163.770
|
154.801
|
146.650
|
139.224
|
132.445
|
126.239
|
120.548
|
115.315
|
110.494
|
106.043
|
101.924
|
98.106
|
30
|
222.248
|
207.733
|
194.672
|
182.892
|
172.241
|
162.589
|
153.820
|
145.837
|
138.552
|
131.889
|
125.781
|
120.170
|
115.005
|
110.240
|
105.836
|
101.756
|
97.970
|
31
|
218.852
|
204.868
|
192.252
|
180.847
|
170.511
|
161.124
|
152.580
|
144.785
|
137.659
|
131.130
|
125.136
|
119.622
|
114.538
|
109.842
|
105.496
|
101.466
|
97.722
|
32
|
216.386
|
202.835
|
190.582
|
179.477
|
169.392
|
160.213
|
151.841
|
144.190
|
137.183
|
130.752
|
124.839
|
119.391
|
114.361
|
109.710
|
105.400
|
101.399
|
97.679
|
33
|
213.311
|
200.251
|
188.411
|
177.655
|
167.864
|
158.934
|
150.771
|
143.297
|
136.438
|
130.133
|
124.326
|
118.967
|
114.013
|
109.425
|
105.169
|
101.212
|
97.529
|
34
|
210.475
|
197.885
|
186.442
|
176.021
|
166.513
|
157.821
|
149.860
|
142.555
|
135.840
|
129.655
|
123.949
|
118.676
|
113.793
|
109.264
|
105.057
|
101.142
|
97.493
|
35
|
206.259
|
194.230
|
183.269
|
173.262
|
164.110
|
155.724
|
148.027
|
140.950
|
134.432
|
128.417
|
122.858
|
117.711
|
112.939
|
108.506
|
104.382
|
100.540
|
96.954
|
36
|
203.003
|
191.468
|
180.928
|
171.282
|
162.438
|
154.317
|
146.846
|
139.962
|
133.609
|
127.736
|
122.298
|
117.255
|
112.570
|
108.213
|
104.153
|
100.365
|
96.826
|
37
|
198.150
|
187.203
|
177.175
|
167.973
|
159.517
|
151.732
|
144.555
|
137.927
|
131.797
|
126.120
|
120.853
|
115.959
|
111.407
|
107.165
|
103.207
|
99.508
|
96.047
|
38
|
193.954
|
183.543
|
173.980
|
165.182
|
157.077
|
149.598
|
142.687
|
136.291
|
130.364
|
124.863
|
119.750
|
114.991
|
110.556
|
106.417
|
102.549
|
98.929
|
95.537
|
39
|
190.490
|
180.552
|
171.399
|
162.958
|
155.161
|
147.951
|
141.273
|
135.079
|
129.328
|
123.979
|
118.998
|
114.355
|
110.019
|
105.966
|
102.173
|
98.618
|
95.282
|
40
|
185.921
|
176.520
|
167.838
|
159.810
|
152.377
|
145.486
|
139.088
|
133.142
|
127.608
|
122.451
|
117.639
|
113.144
|
108.940
|
105.003
|
101.312
|
97.847
|
94.592
|
41
|
180.351
|
171.534
|
163.369
|
155.799
|
148.772
|
142.241
|
136.164
|
130.502
|
125.222
|
120.290
|
115.679
|
111.364
|
107.319
|
103.526
|
99.963
|
96.613
|
93.460
|
42
|
176.057
|
167.733
|
160.004
|
152.820
|
146.134
|
139.905
|
134.095
|
128.670
|
123.598
|
118.852
|
114.406
|
110.236
|
106.321
|
102.642
|
99.181
|
95.921
|
92.848
|
43
|
171.141
|
163.333
|
156.064
|
149.289
|
142.967
|
137.063
|
131.543
|
126.377
|
121.536
|
116.997
|
112.735
|
108.730
|
104.962
|
101.415
|
98.072
|
94.919
|
91.941
|
44
|
165.417
|
158.165
|
151.394
|
145.066
|
139.146
|
133.603
|
128.408
|
123.533
|
118.955
|
114.652
|
110.603
|
106.790
|
103.197
|
99.806
|
96.605
|
93.579
|
90.717
|
45
|
159.596
|
152.882
|
146.596
|
140.705
|
135.180
|
129.992
|
125.117
|
120.533
|
116.217
|
112.151
|
108.317
|
104.699
|
101.281
|
98.050
|
94.993
|
92.099
|
89.356
|
46
|
153.440
|
147.263
|
141.462
|
136.011
|
130.884
|
126.058
|
121.512
|
117.226
|
113.181
|
109.362
|
105.752
|
102.338
|
99.106
|
96.045
|
93.143
|
90.389
|
87.775
|
47
|
146.924
|
141.279
|
135.963
|
130.954
|
126.229
|
121.771
|
117.559
|
113.579
|
109.814
|
106.250
|
102.874
|
99.674
|
96.638
|
93.756
|
91.018
|
88.416
|
85.940
|
48
|
140.789
|
135.644
|
130.784
|
126.193
|
121.850
|
117.741
|
113.849
|
110.162
|
106.665
|
103.347
|
100.196
|
97.202
|
94.356
|
91.648
|
89.071
|
86.615
|
84.275
|
49
|
135.334
|
130.636
|
126.187
|
121.971
|
117.973
|
114.179
|
110.578
|
107.156
|
103.903
|
100.809
|
97.864
|
95.059
|
92.387
|
89.839
|
87.408
|
85.088
|
82.871
|
50
|
132.231
|
127.872
|
123.732
|
119.798
|
116.057
|
112.498
|
109.110
|
105.883
|
102.809
|
99.877
|
97.080
|
94.410
|
91.860
|
89.424
|
87.095
|
84.867
|
82.734
|
51
|
123.216
|
119.407
|
115.779
|
112.321
|
109.024
|
105.878
|
102.875
|
100.008
|
97.268
|
94.648
|
92.143
|
89.745
|
87.450
|
85.252
|
83.145
|
81.125
|
79.188
|
52
|
115.830
|
112.480
|
109.280
|
106.221
|
103.296
|
100.497
|
97.818
|
95.253
|
92.796
|
90.440
|
88.181
|
86.015
|
83.936
|
81.939
|
80.022
|
78.179
|
76.408
|
53
|
108.132
|
105.228
|
102.446
|
99.778
|
97.220
|
94.765
|
92.409
|
90.146
|
87.972
|
85.883
|
83.875
|
81.944
|
80.085
|
78.297
|
76.574
|
74.916
|
73.317
|
54
|
100.797
|
98.294
|
95.889
|
93.577
|
91.353
|
89.212
|
87.152
|
85.168
|
83.258
|
81.417
|
79.642
|
77.930
|
76.280
|
74.687
|
73.150
|
71.665
|
70.232
|
55
|
94.756
|
92.593
|
90.507
|
88.496
|
86.555
|
84.683
|
82.876
|
81.131
|
79.445
|
77.817
|
76.243
|
74.721
|
73.250
|
71.827
|
70.450
|
69.117
|
67.827
|
56
|
85.423
|
83.660
|
81.955
|
80.306
|
78.710
|
77.166
|
75.671
|
74.223
|
72.821
|
71.462
|
70.145
|
68.869
|
67.631
|
66.431
|
65.266
|
64.136
|
63.040
|
57
|
76.984
|
75.560
|
74.180
|
72.840
|
71.540
|
70.278
|
69.053
|
67.863
|
66.707
|
65.584
|
64.492
|
63.431
|
62.400
|
61.397
|
60.421
|
59.472
|
58.548
|
58
|
68.424
|
67.307
|
66.221
|
65.163
|
64.134
|
63.132
|
62.155
|
61.205
|
60.279
|
59.377
|
58.497
|
57.640
|
56.805
|
55.990
|
55.195
|
54.420
|
53.664
|
59
|
59.446
|
58.607
|
57.789
|
56.990
|
56.210
|
55.449
|
54.705
|
53.978
|
53.268
|
52.574
|
51.896
|
51.233
|
50.585
|
49.951
|
49.332
|
48.725
|
48.132
|
60
|
50.670
|
50.068
|
49.479
|
48.902
|
48.337
|
47.784
|
47.241
|
46.710
|
46.189
|
45.679
|
45.179
|
44.688
|
44.208
|
43.736
|
43.274
|
42.820
|
42.376
|
61
|
40.866
|
40.475
|
40.090
|
39.712
|
39.341
|
38.976
|
38.617
|
38.265
|
37.919
|
37.579
|
37.244
|
36.915
|
36.591
|
36.273
|
35.960
|
35.653
|
35.350
|
62
|
31.341
|
31.113
|
30.888
|
30.666
|
30.447
|
30.232
|
30.020
|
29.810
|
29.604
|
29.400
|
29.200
|
29.002
|
28.807
|
28.614
|
28.425
|
28.237
|
28.053
|
63
|
21.246
|
21.141
|
21.037
|
20.934
|
20.832
|
20.732
|
20.633
|
20.534
|
20.437
|
20.341
|
20.246
|
20.152
|
20.059
|
19.967
|
19.876
|
19.786
|
19.697
|
64
|
11.056
|
11.027
|
10.998
|
10.970
|
10.942
|
10.914
|
10.886
|
10.859
|
10.831
|
10.804
|
10.778
|
10.751
|
10.725
|
10.699
|
10.673
|
10.647
|
10.621
|
1Present value of monthly payments of $1 payable at the end of each month, starting with the year of entitlement and continuing up to age 65. Receipt of payment is contingent upon survival under all forms of decrement to the next payment date. Payments are discounted to the beginning of entitlement using the stated annual effective interest rate, and survivorship experience shown in table 22B. |