COMPOUNDINTERESTTABLES - Oxford University Press
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
1.015 1.018 1.020 1.023 1.025
.9975 .9950 .9925 .9901 .9876
.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
1.094 1.105 1.127 1.133 1.139
.9371 .9348 .9325 .9301 .9278
.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
1.030 1.036 1.041 1.046 1.051
.9950 .9901 .9851 .9802 .9754
.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
1.197 1.221 1.270 1.283 1.296
.8784 .8740 .8697 .8653 .8610
.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
1.214 1.224 1.233 1.242 1.251
.8548 .8484 .8421 .8358 .8296
.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
6
1.062
7
1.072
8
1.083
9
1.094
10
1.105
.9901 .9803 .9706 .9610 .9515
.9420 .9327 .9235 .9143 .9053
1.0000 .4975 .3300 .2463 .1960
.1625 .1386 .1207 .1067 .0956
1.0100 .5075 .3400 .2563 .2060
.1725 .1486 .1307 .1167 .1056
1.000 2.010 3.030 4.060 5.101
6.152 7.214 8.286 9.369 10.462
0.990 1.970 2.941 3.902 4.853
5.795 6.728 7.652 8.566 9.471
0 0.498 0.993 1.488 1.980
2.471 2.960 3.448 3.934 4.418
0
1
0.980
2
2.921
3
5.804
4
9.610
5
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
16
1.173
17
1.184
18
1.196
19
1.208
20
1.220
.8963 .8874 .8787 .8700 .8613
.8528 .8444 .8360 .8277 .8195
.0865 .0788 .0724 .0669 .0621
.0579 .0543 .0510 .0481 .0454
.0965 .0888 .0824 .0769 .0721
.0679 .0643 .0610 .0581 .0554
11.567 12.682 13.809 14.947 16.097
17.258 18.430 19.615 20.811 22.019
10.368 11.255 12.134 13.004 13.865
14.718 15.562 16.398 17.226 18.046
4.900 5.381 5.861 6.338 6.814
7.289 7.761 8.232 8.702 9.169
50.806
11
60.568
12
71.112
13
82.422
14
94.481
15
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
90
2.449
96
2.599
100
2.705
104
2.815
120
3.300
240
10.893
360
35.950
480
118.648
.5504 .4983 .4885 .4511 .4335
.4084 .3847 .3697 .3553 .3030
.0918 .0278 .00843
.0122 .00993 .00955 .00822 .00765
.00690 .00625 .00587 .00551 .00435
.00101 .00029 .00008
.0222 .0199 .0196 .0182 .0177
.0169 .0163 .0159 .0155 .0143
.0110 .0103 .0101
81.670 100.676 104.710 121.671 130.672
144.863 159.927 170.481 181.464 230.039
989.254 3 495.0 11 764.8
44.955 50.168 51.150 54.888 56.648
59.161 61.528 63.029 64.471 69.701
90.819 97.218 99.157
26.533
1 192.80
60
30.470
1 528.64
70
31.239
1 597.86
72
34.249
1 879.87
80
35.717
2 023.31
84
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
75.739
6 878.59
240
89.699
8 720.43
360
95.920
9 511.15
480
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