COMPOUNDINTERESTTABLES - Oxford University Press
[Pages:32]APPENDIX C
COMPOUND INTEREST TABLES
Values of Interest Factors When n Equals Infinity
Single Payment: (F/P, i, ) = (P/F, i, ) = 0
Arithmetic Gradient Series: (A/G, i, ) = 1/ i (P/G, i, ) = 1/ i2
Uniform Payment Series: (A/F, i, ) = 0 (A/P, i, ) = i (F/A, i, ) = (P/A, i, ) = 1/ i
APPENDIX C: COMPOUND INTEREST TABLES 595
1/4%
n
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
26 27 28 29 30
36 40 48 50 52
60 70 72 80 84
90 96 100 104 120
240 360 480
Single Payment
Compound Amount Factor Find F Given P F/P
Present Worth Factor Find P Given F
P/F
1.003 1.005 1.008 1.010 1.013
.9975 .9950 .9925 .9901 .9876
1.015 1.018 1.020 1.023 1.025
.9851 .9827 .9802 .9778 .9753
1.028 1.030 1.033 1.036 1.038
.9729 .9705 .9681 .9656 .9632
1.041 1.043 1.046 1.049 1.051
.9608 .9584 .9561 .9537 .9513
1.054 1.056 1.059 1.062 1.064
.9489 .9465 .9442 .9418 .9395
1.067 1.070 1.072 1.075 1.078
.9371 .9348 .9325 .9301 .9278
1.094 1.105 1.127 1.133 1.139
.9140 .9049 .8871 .8826 .8782
1.162 1.191 1.197 1.221 1.233
.8609 .8396 .8355 .8189 .8108
1.252 1.271 1.284 1.297 1.349
.7987 .7869 .7790 .7713 .7411
1.821 2.457 3.315
.5492 .4070 .3016
Sinking Fund Factor Find A
Given F A/F
1.0000 .4994 .3325 .2491 .1990
.1656 .1418 .1239 .1100 .0989
.0898 .0822 .0758 .0703 .0655
.0613 .0577 .0544 .0515 .0488
.0464 .0443 .0423 .0405 .0388
.0373 .0358 .0345 .0333 .0321
.0266 .0238 .0196 .0188 .0180
.0155 .0131 .0127 .0113 .0107
.00992 .00923 .00881 .00843 .00716
.00305 .00172 .00108
Compound Interest Factors
Uniform Payment Series
Capital Recovery
Factor Find A Given P
A/P
Compound Amount Factor Find F Given A F/A
1.0025 .5019 .3350 .2516 .2015
1.000 2.003 3.008 4.015 5.025
.1681 .1443 .1264 .1125 .1014
6.038 7.053 8.070 9.091 10.113
.0923 .0847 .0783 .0728 .0680
11.139 12.167 13.197 14.230 15.266
.0638 .0602 .0569 .0540 .0513
16.304 17.344 18.388 19.434 20.482
.0489 .0468 .0448 .0430 .0413
21.534 22.587 23.644 24.703 25.765
.0398 .0383 .0370 .0358 .0346
26.829 27.896 28.966 30.038 31.114
.0291 .0263 .0221 .0213 .0205
37.621 42.014 50.932 53.189 55.458
.0180 .0156 .0152 .0138 .0132
64.647 76.395 78.780 88.440 93.343
.0124 .0117 .0113 .0109 .00966
100.789 108.349 113.451 118.605 139.743
.00555 .00422 .00358
328.306 582.745 926.074
Present Worth Factor Find P Given A
P/A
0.998 1.993 2.985 3.975 4.963
5.948 6.931 7.911 8.889 9.864
10.837 11.807 12.775 13.741 14.704
15.665 16.624 17.580 18.533 19.485
20.434 21.380 22.324 23.266 24.206
25.143 26.078 27.010 27.940 28.868
34.387 38.020 45.179 46.947 48.705
55.653 64.144 65.817 72.427 75.682
80.504 85.255 88.383 91.480 103.563
180.312 237.191 279.343
Arithmetic Gradient
Gradient Uniform
Series Find A Given G
A/G
Gradient Present Worth Find P Given G
P/G
0.000 0.499 0.998 1.497 1.995
0.000 0.995 2.980 5.950 9.901
2.493 2.990 3.487 3.983 4.479
14.826 20.722 27.584 35.406 44.184
4.975 5.470 5.965 6.459 6.953
53.913 64.589 76.205 88.759 102.244
7.447 7.944 8.433 8.925 9.417
116.657 131.992 148.245 165.411 183.485
9.908 10.400 10.890 11.380 11.870
202.463 222.341 243.113 264.775 287.323
12.360 12.849 13.337 13.825 14.313
310.752 335.057 360.233 386.278 413.185
17.231 19.167 23.021 23.980 24.938
592.499 728.740 1 040.055 1 125.777 1 214.588
28.751 33.481 34.422 38.169 40.033
1 600.085 2 147.611 2 265.557 2 764.457 3 029.759
42.816 45.584 47.422 49.252 56.508
3 446.870 3 886.283 4 191.242 4 505.557 5 852.112
107.586 152.890 192.670
19 398.985 36 263.930 53 820.752
1/4%
n
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
26 27 28 29 30
36 40 48 50 52
60 70 72 80 84
90 96 100 104 120
240 360 480
596 APPENDIX C: COMPOUND INTEREST TABLES
1/2%
n
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
26 27 28 29 30
36 40 48 50 52
60 70 72 80 84
90 96 100 104 120
240 360 480
Single Payment
Compound Amount Factor Find F Given P F/P
Present Worth Factor Find P Given F
P/F
1.005 1.010 1.015 1.020 1.025
.9950 .9901 .9851 .9802 .9754
1.030 1.036 1.041 1.046 1.051
.9705 .9657 .9609 .9561 .9513
1.056 1.062 1.067 1.072 1.078
.9466 .9419 .9372 .9326 .9279
1.083 1.088 1.094 1.099 1.105
.9233 .9187 .9141 .9096 .9051
1.110 1.116 1.122 1.127 1.133
.9006 .8961 .8916 .8872 .8828
1.138 1.144 1.150 1.156 1.161
.8784 .8740 .8697 .8653 .8610
1.197 1.221 1.270 1.283 1.296
.8356 .8191 .7871 .7793 .7716
1.349 1.418 1.432 1.490 1.520
.7414 .7053 .6983 .6710 .6577
1.567 1.614 1.647 1.680 1.819
.6383 .6195 .6073 .5953 .5496
3.310 6.023 10.957
.3021 .1660 .0913
Sinking Fund Factor Find A
Given F A/F
1.0000 .4988 .3317 .2481 .1980
.1646 .1407 .1228 .1089 .0978
.0887 .0811 .0746 .0691 .0644
.0602 .0565 .0532 .0503 .0477
.0453 .0431 .0411 .0393 .0377
.0361 .0347 .0334 .0321 .0310
.0254 .0226 .0185 .0177 .0169
.0143 .0120 .0116 .0102 .00961
.00883 .00814 .00773 .00735 .00610
.00216 .00100 .00050
Compound Interest Factors
Uniform Payment Series
Capital Recovery
Factor Find A Given P
A/P
Compound Amount Factor Find F Given A F/A
1.0050 .5038 .3367 .2531 .2030
1.000 2.005 3.015 4.030 5.050
.1696 .1457 .1278 .1139 .1028
6.076 7.106 8.141 9.182 10.228
.0937 .0861 .0796 .0741 .0694
11.279 12.336 13.397 14.464 15.537
.0652 .0615 .0582 .0553 .0527
16.614 17.697 18.786 19.880 20.979
.0503 .0481 .0461 .0443 .0427
22.084 23.194 24.310 25.432 26.559
.0411 .0397 .0384 .0371 .0360
27.692 28.830 29.975 31.124 32.280
.0304 .0276 .0235 .0227 .0219
39.336 44.159 54.098 56.645 59.218
.0193 .0170 .0166 .0152 .0146
69.770 83.566 86.409 98.068 104.074
.0138 .0131 .0127 .0124 .0111
113.311 122.829 129.334 135.970 163.880
.00716 .00600 .00550
462.041 1 004.5 1 991.5
Present Worth Factor Find P Given A
P/A
0.995 1.985 2.970 3.951 4.926
5.896 6.862 7.823 8.779 9.730
10.677 11.619 12.556 13.489 14.417
15.340 16.259 17.173 18.082 18.987
19.888 20.784 21.676 22.563 23.446
24.324 25.198 26.068 26.933 27.794
32.871 36.172 42.580 44.143 45.690
51.726 58.939 60.340 65.802 68.453
72.331 76.095 78.543 80.942 90.074
139.581 166.792 181.748
Arithmetic Gradient
Gradient Uniform Series Find A Given G
A/G
Gradient Present Worth Find P Given G
P/G
0 0.499 0.996 1.494 1.990
0 0.991 2.959 5.903 9.803
2.486 2.980 3.474 3.967 4.459
14.660 20.448 27.178 34.825 43.389
4.950 5.441 5.931 6.419 6.907
52.855 63.218 74.465 86.590 99.574
7.394 7.880 8.366 8.850 9.334
113.427 128.125 143.668 160.037 177.237
9.817 10.300 10.781 11.261 11.741
195.245 214.070 233.680 254.088 275.273
12.220 12.698 13.175 13.651 14.127
297.233 319.955 343.439 367.672 392.640
16.962 18.836 22.544 23.463 24.378
557.564 681.341 959.928 1 035.70 1 113.82
28.007 32.468 33.351 36.848 38.576
1 448.65 1 913.65 2 012.35 2 424.65 2 640.67
41.145 43.685 45.361 47.025 53.551
2 976.08 3 324.19 3 562.80 3 806.29 4 823.52
96.113 128.324 151.795
13 415.56 21 403.32 27 588.37
1/2%
n
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
26 27 28 29 30
36 40 48 50 52
60 70 72 80 84
90 96 100 104 120
240 360 480
APPENDIX C: COMPOUND INTEREST TABLES 597
3/4%
n
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
26 27 28 29 30
36 40 48 50 52
60 70 72 80 84
90 96 100 104 120
240 360 480
Single Payment
Compound Amount Factor Find F Given P F/P
Present Worth Factor Find P Given F
P/F
1.008 1.015 1.023 1.030 1.038
.9926 .9852 .9778 .9706 .9633
1.046 1.054 1.062 1.070 1.078
.9562 .9490 .9420 .9350 .9280
1.086 1.094 1.102 1.110 1.119
.9211 .9142 .9074 .9007 .8940
1.127 1.135 1.144 1.153 1.161
.8873 .8807 .8742 .8676 .8612
1.170 1.179 1.188 1.196 1.205
.8548 .8484 .8421 .8358 .8296
1.214 1.224 1.233 1.242 1.251
.8234 .8173 .8112 .8052 .7992
1.309 1.348 1.431 1.453 1.475
.7641 .7416 .6986 .6882 .6780
1.566 1.687 1.713 1.818 1.873
.6387 .5927 .5839 .5500 .5338
1.959 2.049 2.111 2.175 2.451
.5104 .4881 .4737 .4597 .4079
6.009 14.731 36.111
.1664 .0679 .0277
Sinking Fund Factor Find A
Given F A/F
1.0000 .4981 .3308 .2472 .1970
.1636 .1397 .1218 .1078 .0967
.0876 .0800 .0735 .0680 .0632
.0591 .0554 .0521 .0492 .0465
.0441 .0420 .0400 .0382 .0365
.0350 .0336 .0322 .0310 .0298
.0243 .0215 .0174 .0166 .0158
.0133 .0109 .0105 .00917 .00859
.00782 .00715 .00675 .00638 .00517
.00150 .00055 .00021
Compound Interest Factors
Uniform Payment Series
Capital Recovery
Factor Find A Given P
A/P
Compound Amount Factor Find F Given A F/A
1.0075 .5056 .3383 .2547 .2045
1.000 2.008 3.023 4.045 5.076
.1711 .1472 .1293 .1153 .1042
6.114 7.160 8.213 9.275 10.344
.0951 .0875 .0810 .0755 .0707
11.422 12.508 13.602 14.704 15.814
.0666 .0629 .0596 .0567 .0540
16.932 18.059 19.195 20.339 21.491
.0516 .0495 .0475 .0457 .0440
22.653 23.823 25.001 26.189 27.385
.0425 .0411 .0397 .0385 .0373
28.591 29.805 31.029 32.261 33.503
.0318 .0290 .0249 .0241 .0233
41.153 46.447 57.521 60.395 63.312
.0208 .0184 .0180 .0167 .0161
75.425 91.621 95.008 109.074 116.428
.0153 .0147 .0143 .0139 .0127
127.881 139.858 148.147 156.687 193.517
.00900 .00805 .00771
667.901 1 830.8 4 681.5
Present Worth Factor Find P Given A
P/A
0.993 1.978 2.956 3.926 4.889
5.846 6.795 7.737 8.672 9.600
10.521 11.435 12.342 13.243 14.137
15.024 15.905 16.779 17.647 18.508
19.363 20.211 21.053 21.889 22.719
23.542 24.360 25.171 25.976 26.775
31.447 34.447 40.185 41.567 42.928
48.174 54.305 55.477 59.995 62.154
65.275 68.259 70.175 72.035 78.942
111.145 124.282 129.641
Arithmetic Gradient
Gradient Uniform
Series Find A Given G
A/G
Gradient Present Worth Find P Given G
P/G
0 0.499 0.996 1.492 1.986
0 0.987 2.943 5.857 9.712
2.479 2.971 3.462 3.951 4.440
14.494 20.187 26.785 34.265 42.619
4.927 5.412 5.897 6.380 6.862
51.831 61.889 72.779 84.491 97.005
7.343 7.822 8.300 8.777 9.253
110.318 124.410 139.273 154.891 171.254
9.727 10.201 10.673 11.143 11.613
188.352 206.170 224.695 243.924 263.834
12.081 12.548 13.014 13.479 13.942
284.421 305.672 327.576 350.122 373.302
16.696 18.507 22.070 22.949 23.822
525.038 637.519 886.899 953.911 1 022.64
27.268 31.465 32.289 35.540 37.137
1 313.59 1 708.68 1 791.33 2 132.23 2 308.22
39.496 41.812 43.332 44.834 50.653
2 578.09 2 854.04 3 040.85 3 229.60 3 998.68
85.422 107.115 119.662
9 494.26 13 312.50 15 513.16
3/4%
n
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
26 27 28 29 30
36 40 48 50 52
60 70 72 80 84
90 96 100 104 120
240 360 480
598 APPENDIX C: COMPOUND INTEREST TABLES
1%
Compound Interest Factors
1%
Single Payment
Uniform Payment Series
Arithmetic Gradient
Compound Present Sinking
Capital
Compound Present Gradient Gradient
Amount
Worth
Fund
Recovery
Amount
Worth
Uniform
Present
Factor
Factor
Factor
Factor
Factor
Factor
Series
Worth
Find F
Find P
Find A
Find A
Find F
Find P
Find A
Find P
Given P
Given F Given F Given P
Given A
Given A Given G
Given G
n
F/P
P/F
A/F
A/P
F/A
P/A
A/G
P/G
n
1
1.010
2
1.020
3
1.030
4
1.041
5
1.051
.9901 .9803 .9706 .9610 .9515
1.0000 .4975 .3300 .2463 .1960
1.0100 .5075 .3400 .2563 .2060
1.000 2.010 3.030 4.060 5.101
0.990 1.970 2.941 3.902 4.853
0 0.498 0.993 1.488 1.980
0
1
0.980
2
2.921
3
5.804
4
9.610
5
6
1.062
7
1.072
8
1.083
9
1.094
10
1.105
.9420 .9327 .9235 .9143 .9053
.1625 .1386 .1207 .1067 .0956
.1725 .1486 .1307 .1167 .1056
6.152 7.214 8.286 9.369 10.462
5.795 6.728 7.652 8.566 9.471
2.471 2.960 3.448 3.934 4.418
14.320
6
19.917
7
26.381
8
33.695
9
41.843
10
11
1.116
12
1.127
13
1.138
14
1.149
15
1.161
.8963 .8874 .8787 .8700 .8613
.0865 .0788 .0724 .0669 .0621
.0965 .0888 .0824 .0769 .0721
11.567 12.682 13.809 14.947 16.097
10.368 11.255 12.134 13.004 13.865
4.900 5.381 5.861 6.338 6.814
50.806
11
60.568
12
71.112
13
82.422
14
94.481
15
16
1.173
17
1.184
18
1.196
19
1.208
20
1.220
.8528 .8444 .8360 .8277 .8195
.0579 .0543 .0510 .0481 .0454
.0679 .0643 .0610 .0581 .0554
17.258 18.430 19.615 20.811 22.019
14.718 15.562 16.398 17.226 18.046
7.289 7.761 8.232 8.702 9.169
107.273
16
120.783
17
134.995
18
149.895
19
165.465
20
21
1.232
22
1.245
23
1.257
24
1.270
25
1.282
.8114 .8034 .7954 .7876 .7798
.0430 .0409 .0389 .0371 .0354
.0530 .0509 .0489 .0471 .0454
23.239 24.472 25.716 26.973 28.243
18.857 19.660 20.456 21.243 22.023
9.635 10.100 10.563 11.024 11.483
181.694
21
198.565
22
216.065
23
234.179
24
252.892
25
26
1.295
27
1.308
28
1.321
29
1.335
30
1.348
.7720 .7644 .7568 .7493 .7419
.0339 .0324 .0311 .0299 .0287
.0439 .0424 .0411 .0399 .0387
29.526 30.821 32.129 33.450 34.785
22.795 23.560 24.316 25.066 25.808
11.941 12.397 12.852 13.304 13.756
272.195
26
292.069
27
312.504
28
333.486
29
355.001
30
36
1.431
40
1.489
48
1.612
50
1.645
52
1.678
.6989 .6717 .6203 .6080 .5961
.0232 .0205 .0163 .0155 .0148
.0332 .0305 .0263 .0255 .0248
43.077 48.886 61.223 64.463 67.769
30.107 32.835 37.974 39.196 40.394
16.428 18.178 21.598 22.436 23.269
494.620
36
596.854
40
820.144
48
879.417
50
939.916
52
60
1.817
70
2.007
72
2.047
80
2.217
84
2.307
.5504 .4983 .4885 .4511 .4335
.0122 .00993 .00955 .00822 .00765
.0222 .0199 .0196 .0182 .0177
81.670 100.676 104.710 121.671 130.672
44.955
26.533
1 192.80
60
50.168
30.470
1 528.64
70
51.150
31.239
1 597.86
72
54.888
34.249
1 879.87
80
56.648
35.717
2 023.31
84
90
2.449
96
2.599
100
2.705
104
2.815
120
3.300
.4084 .3847 .3697 .3553 .3030
.00690 .00625 .00587 .00551 .00435
.0169 .0163 .0159 .0155 .0143
144.863 159.927 170.481 181.464 230.039
59.161 61.528 63.029 64.471 69.701
37.872
2 240.56
90
39.973
2 459.42
96
41.343
2 605.77
100
42.688
2 752.17
104
47.835
3 334.11
120
240
10.893
360
35.950
480
118.648
.0918 .0278 .00843
.00101 .00029 .00008
.0110 .0103 .0101
989.254 3 495.0 11 764.8
90.819 97.218 99.157
75.739
6 878.59
240
89.699
8 720.43
360
95.920
9 511.15
480
APPENDIX C: COMPOUND INTEREST TABLES 599
11/4%
n
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
26 27 28 29 30
36 40 48 50 52
60 70 72 80 84
90 96 100 104 120
240 360 480
Single Payment
Compound Amount Factor Find F Given P F/P
Present Worth Factor Find P Given F
P/F
1.013 1.025 1.038 1.051 1.064
.9877 .9755 .9634 .9515 .9398
1.077 1.091 1.104 1.118 1.132
.9282 .9167 .9054 .8942 .8832
1.146 1.161 1.175 1.190 1.205
.8723 .8615 .8509 .8404 .8300
1.220 1.235 1.251 1.266 1.282
.8197 .8096 .7996 .7898 .7800
1.298 1.314 1.331 1.347 1.364
.7704 .7609 .7515 .7422 .7330
1.381 1.399 1.416 1.434 1.452
.7240 .7150 .7062 .6975 .6889
1.564 1.644 1.845 1.861 1.908
.6394 .6084 .5509 .5373 .5242
2.107 2.386 2.446 2.701 2.839
.4746 .4191 .4088 .3702 .3522
3.059 3.296 3.463 3.640 4.440
.3269 .3034 .2887 .2747 .2252
19.716 87.543 388.713
.0507 .0114 .00257
Sinking Fund Factor Find A
Given F A/F
1.0000 .4969 .3292 .2454 .1951
.1615 .1376 .1196 .1057 .0945
.0854 .0778 .0713 .0658 .0610
.0568 .0532 .0499 .0470 .0443
.0419 .0398 .0378 .0360 .0343
.0328 .0314 .0300 .0288 .0277
.0222 .0194 .0153 .0145 .0138
.0113 .00902 .00864 .00735 .00680
.00607 .00545 .00507 .00474 .00363
.00067 .00014 .00003
Compound Interest Factors
Uniform Payment Series
Capital Recovery
Factor Find A Given P
A/P
Compound Amount Factor Find F Given A F/A
1.0125 .5094 .3417 .2579 .2076
1.000 2.013 3.038 4.076 5.127
.1740 .1501 .1321 .1182 .1070
6.191 7.268 8.359 9.463 10.582
.0979 .0903 .0838 .0783 .0735
11.714 12.860 14.021 15.196 16.386
.0693 .0657 .0624 .0595 .0568
17.591 18.811 20.046 21.297 22.563
.0544 .0523 .0503 .0485 .0468
23.845 25.143 26.458 27.788 29.136
.0453 .0439 .0425 .0413 .0402
30.500 31.881 32.280 34.696 36.129
.0347 .0319 .0278 .0270 .0263
45.116 51.490 65.229 68.882 72.628
.0238 .0215 .0211 .0198 .0193
88.575 110.873 115.675 136.120 147.130
.0186 .0179 .0176 .0172 .0161
164.706 183.643 197.074 211.190 275.220
.0132 .0126 .0125
1 497.3 6 923.4 31 017.1
Present Worth Factor Find P Given A
P/A
0.988 1.963 2.927 3.878 4.818
5.746 6.663 7.568 8.462 9.346
10.218 11.079 11.930 12.771 13.601
14.420 15.230 16.030 16.849 17.599
18.370 19.131 19.882 20.624 21.357
22.081 22.796 23.503 24.200 24.889
28.847 31.327 35.932 37.013 38.068
42.035 46.470 47.293 50.387 51.822
53.846 55.725 56.901 58.021 61.983
75.942 79.086 79.794
11/4%
Arithmetic Gradient
Gradient Gradient
Uniform
Present
Series
Worth
Find A
Find P
Given G
Given G
A/G
P/G
n
0 0.497 0.992 1.485 1.976
0
1
0.976
2
2.904
3
5.759
4
9.518
5
2.464 2.951 3.435 3.918 4.398
14.160
6
19.660
7
25.998
8
33.152
9
41.101 10
4.876 5.352 5.827 6.299 6.769
49.825 11 59.302 12 69.513 13 80.438 14 92.058 15
7.237 7.702 8.166 8.628 9.088
104.355 16 117.309 17 130.903 18 145.119 19 159.940 20
9.545 10.001 10.455 10.906 11.355
175.348 21 191.327 22 207.859 23 224.930 24 242.523 25
11.803 12.248 12.691 13.133 13.572
260.623 26 279.215 27 298.284 28 317.814 29 337.792 30
16.164 17.852 21.130 21.930 22.722
466.297 36 559.247 40 759.248 48 811.692 50 864.960 52
25.809
1 084.86
60
29.492
1 370.47
70
30.205
1 428.48
72
32.983
1 661.89
80
34.326
1 778.86
84
36.286
1 953.85
90
38.180
2 127.55
96
39.406
2 242.26
100
40.604
2 355.90
104
45.119
2 796.59
120
67.177
5 101.55
240
75.840
5 997.91
360
78.762
6 284.74
480
600 APPENDIX C: COMPOUND INTEREST TABLES
11/2 %
n
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
26 27 28 29 30
36 40 48 50 52
60 70 72 80 84
90 96 100 104 120
240 360 480
Single Payment
Compound Amount Factor Find F Given P F/P
Present Worth Factor Find P Given F
P/F
1.015 1.030 1.046 1.061 1.077
.9852 .9707 .9563 .9422 .9283
1.093 1.110 1.126 1.143 1.161
.9145 .9010 .8877 .8746 .8617
1.178 1.196 1.214 1.232 1.250
.8489 .8364 .8240 .8118 .7999
1.269 1.288 1.307 1.327 1.347
.7880 .7764 .7649 .7536 .7425
1.367 1.388 1.408 1.430 1.451
.7315 .7207 .7100 .6995 .6892
1.473 1.495 1.517 1.540 1.563
.6790 .6690 .6591 .6494 .6398
1.709 1.814 2.043 2.105 2.169
.5851 .5513 .4894 .4750 .4611
2.443 2.835 2.921 3.291 3.493
.4093 .3527 .3423 .3039 .2863
3.819 4.176 4.432 4.704 5.969
.2619 .2395 .2256 .2126 .1675
35.632 212.700 1 269.7
.0281 .00470 .00079
Sinking Fund Factor Find A
Given F A/F
1.0000 .4963 .3284 .2444 .1941
.1605 .1366 .1186 .1046 .0934
.0843 .0767 .0702 .0647 .0599
.0558 .0521 .0488 .0459 .0432
.0409 .0387 .0367 .0349 .0333
.0317 .0303 .0290 .0278 .0266
.0212 .0184 .0144 .0136 .0128
.0104 .00817 .00781 .00655 .00602
.00532 .00472 .00437 .00405 .00302
.00043 .00007 .00001
Compound Interest Factors
Uniform Payment Series
Capital Recovery
Factor Find A Given P
A/P
Compound Amount Factor Find F Given A F/A
1.0150 .5113 .3434 .2594 .2091
1.000 2.015 3.045 4.091 5.152
.1755 .1516 .1336 .1196 .1084
6.230 7.323 8.433 9.559 10.703
.0993 .0917 .0852 .0797 .0749
11.863 13.041 14.237 15.450 16.682
.0708 .0671 .0638 .0609 .0582
17.932 19.201 20.489 21.797 23.124
.0559 .0537 .0517 .0499 .0483
24.470 25.837 27.225 28.633 30.063
.0467 .0453 .0440 .0428 .0416
31.514 32.987 34.481 35.999 37.539
.0362 .0334 .0294 .0286 .0278
47.276 54.268 69.565 73.682 77.925
.0254 .0232 .0228 .0215 .0210
96.214 122.363 128.076 152.710 166.172
.0203 .0197 .0194 .0190 .0180
187.929 211.719 228.802 246.932 331.286
.0154 .0151 .0150
2 308.8 14 113.3 84 577.8
Present Worth Factor Find P Given A
P/A
0.985 1.956 2.912 3.854 4.783
5.697 6.598 7.486 8.360 9.222
10.071 10.907 11.731 12.543 13.343
14.131 14.908 15.673 16.426 17.169
17.900 18.621 19.331 20.030 20.720
21.399 22.068 22.727 23.376 24.016
27.661 29.916 34.042 35.000 35.929
39.380 43.155 43.845 46.407 47.579
49.210 50.702 51.625 52.494 55.498
64.796 66.353 66.614
11/2 %
Arithmetic Gradient
Gradient Gradient
Uniform
Present
Series
Worth
Find A
Find P
Given G
Given G
A/G
P/G
n
0 0.496 0.990 1.481 1.970
0
1
0.970
2
2.883
3
5.709
4
9.422
5
2.456 2.940 3.422 3.901 4.377
13.994
6
19.400
7
25.614
8
32.610
9
40.365 10
4.851 5.322 5.791 6.258 6.722
48.855 11 58.054 12 67.943 13 78.496 14 89.694 15
7.184 7.643 8.100 8.554 9.005
101.514 16 113.937 17 126.940 18 140.505 19 154.611 20
9.455 9.902 10.346 10.788 11.227
169.241 21 184.375 22 199.996 23 216.085 24 232.626 25
11.664 12.099 12.531 12.961 13.388
249.601 26 266.995 27 284.790 28 302.972 29 321.525 30
15.901 17.528 20.666 21.428 22.179
439.823 36 524.349 40 703.537 48 749.955 50 796.868 52
25.093
988.157 60
28.529
1 231.15
70
29.189
1 279.78
72
31.742
1 473.06
80
32.967
1 568.50
84
34.740
1 709.53
90
36.438
1 847.46
96
37.529
1 937.43
100
38.589
2 025.69
104
42.518
2 359.69
120
59.737
3 870.68
240
64.966
4 310.71
360
66.288
4 415.74
480
APPENDIX C: COMPOUND INTEREST TABLES 601
13/4%
n
1 2 3 4 5
6 7 8 9 10
11 12 13 14 15
16 17 18 19 20
21 22 23 24 25
26 27 28 29 30
36 40 48 50 52
60 70 72 80 84
90 96 100 104 120
240 360 480
Single Payment
Compound Amount Factor Find F Given P F/P
Present Worth Factor Find P Given F
P/F
1.018 1.035 1.053 1.072 1.091
.9828 .9659 .9493 .9330 .9169
1.110 1.129 1.149 1.169 1.189
.9011 .8856 .8704 .8554 .8407
1.210 1.231 1.253 1.275 1.297
.8263 .8121 .7981 .7844 .7709
1.320 1.343 1.367 1.390 1.415
.7576 .7446 .7318 .7192 .7068
1.440 1.465 1.490 1.516 1.543
.6947 .6827 .6710 .6594 .6481
1.570 1.597 1.625 1.654 1.683
.6369 .6260 .6152 .6046 .5942
1.867 2.002 2.300 2.381 2.465
.5355 .4996 .4349 .4200 .4057
2.832 3.368 3.487 4.006 4.294
.3531 .2969 .2868 .2496 .2329
4.765 5.288 5.668 6.075 8.019
.2098 .1891 .1764 .1646 .1247
64.308 515.702 4 135.5
.0156 .00194 .00024
Sinking Fund Factor Find A
Given F A/F
1.0000 .4957 .3276 .2435 .1931
.1595 .1355 .1175 .1036 .0924
.0832 .0756 .0692 .0637 .0589
.0547 .0510 .0477 .0448 .0422
.0398 .0377 .0357 .0339 .0322
.0307 .0293 .0280 .0268 .0256
.0202 .0175 .0135 .0127 .0119
.00955 .00739 .00704 .00582 .00531
.00465 .00408 .00375 .00345 .00249
.00028 .00003
Compound Interest Factors
Uniform Payment Series
Capital Recovery
Factor Find A Given P
A/P
Compound Amount Factor Find F Given A F/A
1.0175 .5132 .3451 .2610 .2106
1.000 2.018 3.053 4.106 5.178
.1770 .1530 .1350 .1211 .1099
6.269 7.378 8.508 9.656 10.825
.1007 .0931 .0867 .0812 .0764
12.015 13.225 14.457 15.710 16.985
.0722 .0685 .0652 .0623 .0597
18.282 19.602 20.945 22.311 23.702
.0573 .0552 .0532 .0514 .0497
25.116 26.556 28.021 29.511 31.028
.0482 .0468 .0455 .0443 .0431
32.571 34.141 35.738 37.363 39.017
.0377 .0350 .0310 .0302 .0294
49.566 57.234 74.263 78.903 83.706
.0271 .0249 .0245 .0233 .0228
104.676 135.331 142.127 171.795 188.246
.0221 .0216 .0212 .0209 .0200
215.166 245.039 266.753 290.028 401.099
.0178 .0175 .0175
3 617.6 29 411.5 236 259.0
Present Worth Factor Find P Given A
P/A
0.983 1.949 2.898 3.831 4.748
5.649 6.535 7.405 8.261 9.101
9.928 10.740 11.538 12.322 13.093
13.851 14.595 15.327 16.046 16.753
17.448 18.130 18.801 19.461 20.109
20.746 21.372 21.987 22.592 23.186
26.543 28.594 32.294 33.141 33.960
36.964 40.178 40.757 42.880 43.836
45.152 46.337 47.062 47.737 50.017
56.254 57.032 57.129
13/4%
Arithmetic Gradient
Gradient Gradient
Uniform
Present
Series
Worth
Find A
Find P
Given G
Given G
A/G
P/G
n
0 0.496 0.989 1.478 1.965
0
1
0.966
2
2.865
3
5.664
4
9.332
5
2.450 2.931 3.409 3.885 4.357
13.837
6
19.152
7
25.245
8
32.088
9
39.655 10
4.827 5.294 5.758 6.219 6.677
47.918 11 56.851 12 66.428 13 76.625 14 87.417 15
7.132 7.584 8.034 8.481 8.924
98.782 16 110.695 17 123.136 18 136.081 19 149.511 20
9.365 9.804 10.239 10.671 11.101
163.405 21 177.742 22 192.503 23 207.671 24 223.225 25
11.528 11.952 12.373 12.791 13.206
239.149 26 255.425 27 272.036 28 288.967 29 306.200 30
15.640 17.207 20.209 20.932 21.644
415.130 36 492.017 40 652.612 48 693.708 50 735.039 52
24.389
901.503 60
27.586
1 108.34
70
28.195
1 149.12
72
30.533
1 309.25
80
31.644
1 387.16
84
33.241
1 500.88
90
34.756
1 610.48
96
35.721
1 681.09
100
36.652
1 749.68
104
40.047
2 003.03
120
53.352
3 001.27
240
56.443
3 219.08
360
57.027
3 257.88
480
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