Present Value of $1
Number of Periods
Interest Rate
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
18
20
22
24
26
28
30
32
34
36
38
40
1%
2%
3%
4%
5%
6%
7%
8%
9%
10%
12%
14%
16%
18%
20%
.980
.971
.961
.962
.942
.933
.923
.914
.905
.896
.887
.879
.870
.861
.853
.836
.820
.803
.788
.772
.757
.742
.727
.713
.699
.685
.672
.961
.942
.924
.952
.888
.871
.853
.837
.820
.804
.788
.773
.758
.743
.728
.700
.673
.647
.622
.598
.574
.552
.531
.510
.490
.471
.453
.943
.915
.888
.943
.837
.813
.789
.766
.744
.722
.701
.681
.661
.642
.623
.587
.554
.522
.492
.464
.437
.412
.388
.366
.345
.325
.307
.925
.889
.855
.935
.790
.760
.731
.703
.676
.650
.625
.601
.577
.555
.534
.494
.456
.422
.390
.361
.333
.308
.285
.264
.244
.225
.208
.907
.864
.823
.926
.746
.711
.677
.645
.614
.585
.557
.530
.505
.481
.458
.416
.377
.342
.310
.281
.255
.231
.210
.190
.173
.157
.142
.890
.840
.792
.917
.705
.665
.627
.592
.558
.527
.497
.469
.442
.417
.394
.350
.312
.278
.247
.220
.196
.174
.155
.138
.123
.109
.097
.873
.816
.763
.909
.666
.623
.582
.544
.508
.475
.444
.415
.388
.362
.339
.296
.258
.226
.197
.172
.150
.131
.115
.100
.088
.076
.067
.857
.794
.735
.893
.630
.583
.540
.500
.463
.429
.397
.368
.340
.315
.292
.250
.215
.184
.158
.135
.116
.099
.085
.073
.063
.054
.046
.842
.772
.708
.877
.596
.547
.502
.460
.422
.388
.356
.326
.299
.275
.252
.212
.178
.150
.126
.106
.090
.075
.063
.053
.045
.038
.032
.826
.751
.683
.862
.564
.513
.467
.424
.386
.350
.319
.290
.263
.239
.218
.180
.149
.123
.102
.084
.069
.057
.047
.039
.032
.027
.022
.797
.712
.636
.847
.507
.452
.404
.361
.322
.287
.257
.229
.205
.183
.163
.130
.104
.083
.066
.053
.042
.033
.027
.021
.017
.013
.011
.769
.675
.592
.833
.456
.400
.351
.308
.270
.237
.208
.182
.160
.140
.123
.095
.073
.056
.043
.033
.026
.020
.015
.012
.009
.007
.005
.743
.641
.552
.962
.410
.354
.305
.263
.227
.195
.168
.145
.125
.108
.093
.069
.051
.038
.028
.021
.016
.012
.009
.006
.005
.004
.003
.718
.609
.516
.952
.370
.314
.266
.225
.191
.162
.137
.116
.099
.084
.071
.051
.037
.026
.019
.014
.010
.007
.005
.004
.003
.002
.001
.694
.579
.482
.943
.335
.279
.233
.194
.162
.135
.112
.093
.078
.065
.054
.038
.026
.018
.013
.009
.006
.004
.003
.002
.001
.001
.001
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
18
20
22
24
26
28
30
32
34
36
38
40
Present Value of a $1 Annuity
Number of Periods
Interest Rate
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
18
20
22
24
26
28
30
32
34
36
38
40
1%
.990
1.970
2.941
3.902
4.853
5.795
6.728
7.652
8.566
9.471
10.368
11.255
12.134
13.004
13.865
14.718
16.398
18.046
19.660
21.243
22.795
24.316
25.808
27.270
28.703
30.108
31.485
32.835
2%
.980
1.942
2.884
3.808
4.713
5.601
6.472
7.325
8.162
8.983
9.787
10.575
11.348
12.106
12.849
13.578
14.992
16.351
17.658
18.914
20.121
21.281
22.396
23.468
24.499
25.489
26.441
27.355
3%
.971
1.913
2.829
3.717
4.580
5.417
6.230
7.020
7.786
8.530
9.253
9.954
10.635
11.296
11.938
12.561
13.754
14.877
15.937
16.936
17.877
18.764
19.600
20.389
21.132
21.832
22.492
23.115
4%
.962
1.886
2.775
3.630
4.452
5.242
6.002
6.733
7.435
8.111
8.760
9.385
9.986
10.563
11.118
11.652
12.659
13.590
14.451
15.247
15.983
16.663
17.292
17.874
18.411
18.908
19.368
19.793
5%
.952
1.859
2.723
3.546
4.329
5.076
5.786
6.463
7.108
7.722
8.306
8.863
9.394
9.899
10.380
10.838
11.690
12.462
13.163
13.799
14.375
14.898
15.372
15.803
16.193
16.547
16.868
17.159
6%
.943
1.833
2.673
3.465
4.212
4.917
5.582
6.210
6.802
7.360
7.887
8.384
8.853
9.295
9.712
10.106
10.828
11.470
12.042
12.550
13.003
13.406
13.765
14.084
14.368
14.621
14.846
15.046
7%
.935
1.808
2.624
3.387
4.100
4.767
5.389
5.971
6.515
7.024
7.499
7.943
8.358
8.745
9.108
9.447
10.059
10.594
11.061
11.469
11.826
12.137
12.409
12.647
12.854
13.035
13.193
13.332
8%
.926
1.783
2.577
3.312
3.993
4.623
5.206
5.747
6.247
6.710
7.139
7.536
7.904
8.244
8.559
8.851
9.372
9.818
10.201
10.529
10.810
11.051
11.258
11.435
11.587
11.717
11.829
11.925
9%
.917
1.759
2.531
3.240
3.890
4.486
5.033
5.535
5.995
6.418
6.805
7.161
7.487
7.786
8.061
8.313
8.756
9.129
9.442
9.707
9.929
10.116
10.274
10.406
10.518
10.612
10.691
10.757
10%
.909
1.736
2.487
3.170
3.791
4.355
4.868
5.335
5.759
6.145
6.495
6.814
7.103
7.367
7.606
7.824
8.201
8.514
8.772
8.985
9.161
9.307
9.427
9.526
9.609
9.677
9.733
9.779
12%
.893
1.690
2.402
3.037
3.605
4.111
4.564
4.968
5.328
5.650
5.938
6.194
6.424
6.628
6.811
6.974
7.250
7.469
7.645
7.784
7.896
7.984
8.055
8.112
8.157
8.192
8.221
8.244
14%
.877
1.647
2.322
2.914
3.433
3.889
4.288
4.639
4.946
5.216
5.453
5.660
5.842
6.002
6.142
6.265
6.467
6.623
6.743
6.835
6.906
6.961
7.003
7.035
7.060
7.079
7.094
7.105
16%
.862
1.605
2.246
2.798
3.274
3.685
4.039
4.344
4.607
4.833
5.029
5.197
5.342
5.468
5.575
5.668
5.818
5.929
6.011
6.073
6.118
6.152
6.177
6.196
6.210
6.220
6.228
6.233
18%
.847
1.566
2.174
2.690
3.127
3.498
3.812
4.078
4.303
4.494
4.656
4.793
4.910
5.008
5.092
5.162
5.273
5.353
5.410
5.451
5.480
5.502
5.517
5.528
5.536
5.541
5.545
5.548
20%
.833
1.528
2.106
2.589
2.991
3.326
3.605
3.837
4.031
4.192
4.327
4.439
4.533
4.611
4.675
4.730
4.812
4.870
4.909
4.937
4.956
4.970
4.979
4.985
4.990
4.993
4.995
4.997
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
18
20
22
24
26
28
30
32
34
36
38
40