Civil Engineering Reference
In-Depth Information
X
n
1
j
Table 19.2
Present annuity factor values
PAF
¼
1
1þð
j
Year (
j
) PAF values corresponding to coefficient
i
in %
1%
2% 3% 4% 5% 6% 7% 8% 9% 10%
1
0.990
0.980
0.971
0.962
0.952
0.943
0.935
0.926
0.917
0.909
2
1.970
1.942
1.913
1.886
1.859
1.833
1.808
1.783
1.759
1.736
3
2.941
2.884
2.829
2.775
2.723
2.673
2.624
2.577
2.531
2.487
4
3.902
3.808
3.717
3.630
3.546
3.465
3.387
3.312
3.240
3.170
5
4.853
4.713
4.580
4.452
4.329
4.212
4.100
3.993
3.890
3.791
6
5.795
5.601
5.417
5.242
5.076
4.917
4.767
4.623
4.486
4.355
7
6.728
6.472
6.230
6.002
5.786
5.582
5.389
5.206
5.033
4.868
8
7.652
7.325
7.020
6.733
6.463
6.210
5.971
5.747
5.535
5.335
9
8.566
8.162
7.786
7.435
7.108
6.802
6.515
6.247
5.995
5.755
10
9.471
8.983
8.530
8.111
7.722
7.360
7.024
6.710
6.418
6.145
11
10.368
9.787
9.253
8.760
8.306
7.887
7.499
7.139
6.805
6.495
12
11.255
10.575
9.954
9.385
8.863
8.384
7.943
7.536
7.161
6.814
13
12.134
11.348
10.635
9.986
9.394
8.853
8.358
7.904
7.487
7.103
14
13.004
12.106
11.296
10.563
9.899
9.295
8.745
8.244
7.786
7.367
15
13.865
12.849
11.938
11.118
10.380
9.712
9.108
8.559
8.061
7.606
16
14.718
13.578
12.561
11.652
10.838
10.106
9.447
8.851
8.313
7.824
17
15.562
14.292
13.166
12.166
11.274
10.477
9.763
9.122
8.544
8.022
18
16.398
14.992
13.754
12.659
11.690
10.828
10.059
9.372
8.756
8.201
19
17.226
15.678
14.324
13.134
12.085
11.158
10.336
9.604
8.950
8.365
20
18.046
16.351
14.877
13.590
12.462
11.470
10.594
9.818
9.129
8.514
11 %
12 %
13 %
14 %
15 %
16 %
17 %
18 % 19 % 20 %
1
0.901
0.893
0.885
0.877
0.870
0.862
0.855
0.847
0.840
0.833
2
1.713
1.690
1.668
1.647
1.626
1.605
1.585
1.566
1.547
1.528
3
2.444
2.402
2.361
2.322
2.283
2.246
2.210
2.174
2.140
2.106
4
3.102
3.037
2.974
2.914
2.855
2.798
2.743
2.690
2.639
2.589
5
3.696
3.605
3.517
3.433
3.352
3.274
3.199
3.127
3.058
2.991
6
4.231
4.111
3.998
3.889
3.784
3.685
3.589
3.498
3.410
3.326
7
4.712
4.564
4.423
4.288
4.160
4.039
3.922
3.812
3.706
3.605
8
5.146
4.968
4.799
4.639
4.487
4.344
4.207
4.078
3.954
3.837
9
5.537
5.328
5.132
4.946
4.772
4.607
4.451
4.303
4.163
4.031
10
5.889
5.650
5.426
5.216
5.019
4.833
4.659
4.494
4.339
4.192
11
6.207
5.938
5.687
5.453
5.234
5.029
4.836
4.656
4.486
4.327
12
6.492
6.194
5.918
5.660
5.421
5.197
4.988
4.793
4.611
4.439
13
6.750
6.424
6.122
5.842
5.583
5.342
5.118
4.910
4.715
4.533
14
6.982
6.628
6.302
6.002
5.724
5.468
5.229
5.008
4.802
4.611
15
7.191
6.811
6.462
6.142
5.847
5.575
5.324
5.092
4.876
4.675
16
7.379
6.974
6.604
6.265
5.954
5.668
5.405
5.162
4.938
4.730
17
7.549
7.120
6.729
6.373
6.047
5.749
5.475
5.222
4.990
4.775
18
7.702
7.250
6.840
6.467
6.128
5.818
5.534
5.273
5.033
4.812
19
7.839
7.366
6.938
6.550
6.198
5.877
5.584
5.316
5.070
4.843
20
7.963
7.469
7.025
6.623
6.259
5.929
5.628
5.353
5.101
4.870
