End-of-Period Compound Interest Tables
esch_app_b.qxd 2/12/03 6:03 PM Page 551
B APPENDIX
End-of-Period Compound Interest Tables
Tables Included in Appendix
.25% 3% 9% 15% 25% 70%
.50% 4% 10% 16% 30% 80%
.75%
1%
1.5%
2%
5%
6%
7%
8%
11%
12%
13%
14%
17%
18%
19%
20%
35%
40%
50%
60%
90%
100%
Limits of the Factors
Factor
When N =
(F/P,i,N )
(P/F,i, N)
0
(A/P,i, N )
i
(P/A,i, N )
1/i
(A/F,i, N)
0
(F/A,i, N)
(P/G,i, N)
1/i2
(A/G, i, N )
1/i
When i = 0
1 1 1/N N 1/N N N(N - 1)/2 (N - 1)/2
551
esch_app_b.qxd 2/12/03 6:03 PM Page 552
552 END-OF-PERIOD COMPOUND INTEREST TABLES
0.25%
Single Payment
Compound Present
Amount Worth
Factor
Factor
N
F/P
P/F
1
1.003
.9975
2
1.005
.9950
3
1.008
.9925
4
1.010
.9901
5
1.013
.9876
6
1.015
.9851
7
1.018
.9827
8
1.020
.9802
9
1.023
.9778
10
1.025
.9753
11
1.028
.9729
12
1.030
.9705
13
1.033
.9681
14
1.036
.9656
15
1.038
.9632
16
1.041
.9608
17
1.043
.9584
18
1.046
.9561
19
1.049
.9537
20
1.051
.9513
21
1.054
.9489
22
1.056
.9466
23
1.059
.9442
24
1.062
.9418
25
1.064
.9395
26
1.067
.9371
27
1.070
.9348
28
1.072
.9325
29
1.075
.9301
30
1.078
.9278
31
1.080
.9255
32
1.083
.9232
33
1.086
.9209
34
1.089
.9186
35
1.091
.9163
36
1.094
.9140
40
1.105
.9050
48
1.127
.8871
50
1.133
.8826
60
1.162
.8609
70
1.191
.8396
72
1.197
.8355
80
1.221
.8189
90
1.252
.7987
100
1.284
.7790
120
1.349
.7411
240
1.821
.5492
360
2.457
.4070
480
3.315
.3016
0
End-of-Period Compound Interest Factors
Uniform Payment Series
Capital Recovery
Factor A/P
Present Worth Factor
P/A
Sinking Fund Factor A/F
Compound Amount Factor F/A
1.0025 .5019 .3350 .2516 .2015
.1681 .1443 .1264 .1125 .1014
.0923 .0847 .0783 .0728 .0680
.0638 .0602 .0569 .0540 .0513
.0489 .0468 .0448 .0430 .0413
.0398 .0383 .0370 .0358 .0346
.0336 .0326 .0316 .0307 .0299
.0291 .0263 .0221 .0213 .0180
.0156 .0152 .0138 .0124 .0113
.00966 .00555 .00422 .00358 .0025
.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 16.623 17.580 18.533 19.484
20.433 21.380 22.324 23.266 24.205
25.143 26.077 27.010 27.940 28.868
29.793 30.717 31.638 32.556 33.472
34.386 38.020 45.179 46.946 55.652
64.144 65.817 72.426 80.504 88.382
103.6 180.3 237.2 279.3 400
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
.0311 .0301 .0291 .0282 .0274
.0266 .0238 .0196 .0188 .0155
.0131 .0127 .0113 .00992 .00881
.00716 .00305 .00172 .00108 0
1.000 2.002 3.008 4.015 5.025
6.038 7.053 8.070 9.091 10.113
11.139 12.166 13.197 14.230 15.265
16.304 17.344 18.388 19.434 20.482
21.533 22.587 23.644 24.703 25.765
26.829 27.896 28.966 30.038 31.113
32.191 33.272 34.355 35.441 36.529
37.621 42.013 50.931 53.189 64.647
76.394 78.779 88.439 100.8 113.4
139.7 328.3 582.7 926.1
0.25%
Arithmetic Gradient
Present Worth Factor P/G
Uniform
Payment
Factor
A/G
N
0
0
1
.995
.499
2
2.980
.998
3
5.950
1.497
4
9.901
1.995
5
14.826 20.722 27.584 35.406 44.184
2.493
6
2.990
7
3.487
8
3.983
9
4.479
10
53.913 64.589 76.205 88.759 102.244
4.975
11
5.470
12
5.965
13
6.459
14
6.953
15
116.657 131.992 148.245 165.411 183.485
7.447
16
7.940
17
8.433
18
8.925
19
9.417
20
202.463
9.908
21
222.341
10.400
22
243.113
10.890
23
264.775
11.380
24
287.323
11.870
25
310.752
12.360
26
335.057
12.849
27
360.233
13.337
28
386.278
13.825
29
413.185
14.313
30
440.950
14.800
31
469.570
15.287
32
499.039
15.774
33
529.353
16.260
34
560.508
16.745
35
592.499
17.231
36
728.740
19.167
40
1040.055
23.021
48
1125.777
23.980
50
1600
28.751
60
2148 2266 2764 3447 4191
33.481
70
34.422
72
38.169
80
42.816
90
47.422 100
5852 19399 36264 53821 160000
56.508 120
107.586 240
152.890 360
192.670 480
400
esch_app_b.qxd 2/12/03 6:03 PM Page 553
0.50%
Single Payment
Compound Present
Amount
Worth
Factor
Factor
N
F/P
P/F
1
1.005
.9950
2
1.010
.9901
3
1.015
.9851
4
1.020
.9802
5
1.025
.9754
6
1.030
.9705
7
1.036
.9657
8
1.041
.9609
9
1.046
.9561
10
1.051
.9513
11
1.056
.9466
12
1.062
.9419
13
1.067
.9372
14
1.072
.9326
15
1.078
.9279
16
1.083
.9233
17
1.088
.9187
18
1.094
.9141
19
1.099
.9096
20
1.105
.9051
21
1.110
.9006
22
1.116
.8961
23
1.122
.8916
24
1.127
.8872
25
1.133
.8828
26
1.138
.8784
27
1.144
.8740
28
1.150
.8697
29
1.156
.8653
30
1.161
.8610
31
1.167
.8567
32
1.173
.8525
33
1.179
.8482
34
1.185
.8440
35
1.191
.8398
36
1.197
.8356
40
1.221
.8191
48
1.270
.7871
50
1.283
.7793
60
1.349
.7414
70
1.418
.7053
72
1.432
.6983
80
1.490
.6710
90
1.567
.6383
100
1.647
.6073
120
1.819
.5496
240
3.310
.3021
360
6.023
.1660
480
10.957
.0913
0
END-OF-PERIOD COMPOUND INTEREST TABLES 553
End-of-Period Compound Interest Factors
Uniform Payment Series
Capital Recovery
Factor A/P
Present Worth Factor
P/A
Sinking Fund Factor A/F
Compound Amount Factor F/A
1.0050 .5038 .3367 .2531 .2030
.1696 .1457 .1278 .1139 .1028
.0937 .0861 .0796 .0741 .0694
.0652 .0615 .0582 .0553 .0527
.0503 .0481 .0461 .0443 .0427
.0411 .0397 .0384 .0371 .0360
.0349 .0339 .0329 .0321 .0312
.0304 .0276 .0235 .0227 .0193
.0170 .0166 .0152 .0138 .0127
.0111 .00716 .00600 .00550 .005
.995 1.985 2.970 3.950 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
28.651 29.503 30.352 31.196 32.035
32.871 36.172 42.580 44.143 51.726
58.939 60.340 65.802 72.331 78.543
90.073 139.6 166.8 181.7 200
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
.0299 .0289 .0279 .0271 .0262
.0254 .0226 .0185 .0177 .0143
.0120 .0116 .0102 .00883 .00773
.00610 .00216 .00100 .00050 0
1.000 2.005 3.015 4.030 5.050
6.076 7.106 8.141 9.182 10.228
11.279 12.336 13.397 14.464 15.537
16.614 17.697 18.786 19.880 20.979
22.084 23.194 24.310 25.432 26.559
27.692 28.830 29.975 31.124 32.280
33.441 34.609 35.782 36.961 38.145
39.336 44.159 54.098 56.645 69.770
83.566 86.409 98.068 113.3 129.3
163.9 462.0 1004.5 1991.5
0.50%
Arithmetic Gradient
Present Worth Factor P/G
Uniform
Payment
Factor
A/G
N
0
0
1
.990
.499
2
2.960
.997
3
5.901
1.494
4
9.803
1.990
5
14.655 20.449 27.176 34.824 43.386
2.485
6
2.980
7
3.474
8
3.967
9
4.459
10
52.853 63.214 74.460 86.583 99.574
4.950
11
5.441
12
5.930
13
6.419
14
6.907
15
113.424 128.123 143.663 160.036 177.232
7.394
16
7.880
17
8.366
18
8.850
19
9.334
20
195.243
9.817
21
214.061
10.299
22
233.677
10.781
23
254.082
11.261
24
275.269
11.741
25
297.228
12.220
26
319.952
12.698
27
343.433
13.175
28
367.663
13.651
29
392.632
14.126
30
418.335
14.601
31
444.762
15.075
32
471.906
15.548
33
499.758
16.020
34
528.312
16.492
35
557.560
16.962
36
681.335
18.836
40
959.919
22.544
48
1035.697
23.462
50
1449
28.006
60
1914 2012 2425 2976 3563
32.468
70
33.350
72
36.847
80
41.145
90
45.361 100
4824 13416 21403 27588 40000
53.551 120
96.113 240
128.324 360
151.795 480
200
esch_app_b.qxd 2/12/03 6:03 PM Page 554
554 END-OF-PERIOD COMPOUND INTEREST TABLES
0.75%
Single Payment
Compound Present
Amount
Worth
Factor
Factor
N
F/P
P/F
1
1.008
.9926
2
1.015
.9852
3
1.023
.9778
4
1.030
.9706
5
1.038
.9633
6
1.046
.9562
7
1.054
.9490
8
1.062
.9420
9
1.070
.9350
10
1.078
.9280
11
1.086
.9211
12
1.094
.9142
13
1.102
.9074
14
1.110
.9007
15
1.119
.8940
16
1.127
.8873
17
1.135
.8807
18
1.144
.8742
19
1.153
.8676
20
1.161
.8612
21
1.170
.8548
22
1.179
.8484
23
1.188
.8421
24
1.196
.8358
25
1.205
.8296
26
1.214
.8234
27
1.224
.8173
28
1.233
.8112
29
1.242
.8052
30
1.251
.7992
31
1.261
.7932
32
1.270
.7873
33
1.280
.7815
34
1.289
.7757
35
1.299
.7699
36
1.309
.7641
40
1.348
.7416
48
1.431
.6986
50
1.453
.6883
60
1.566
.6387
70
1.687
.5927
72
1.713
.5839
80
1.818
.5500
90
1.959
.5104
100
2.111
.4737
120
2.451
.4079
240
6.009
.1664
360
14.73
.06789
480
36.11
.02769
0
End-of-Period Compound Interest Factors
Uniform Payment Series
Capital Recovery
Factor A/P
Present Worth Factor
P/A
Sinking Fund Factor A/F
Compound Amount Factor F/A
1.0075 .5056 .3383 .2547 .2045
.1711 .1472 .1293 .1153 .1042
.0951 .0875 .0810 .0755 .0707
.0666 .0629 .0596 .0567 .0540
.0516 .0495 .0475 .0457 .0440
.0425 .0411 .0397 .0385 .0373
.0363 .0353 .0343 .0334 .0326
.0318 .0290 .0249 .0241 .0208
.0184 .0180 .0167 .0153 .0143
.0127 .00900 .00805 .00771 .0075
.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 24.359 25.171 25.976 26.775
27.568 28.356 29.137 29.913 30.683
31.447 34.447 40.185 41.566 48.173
54.305 55.477 59.994 65.275 70.175
78.942 111.145 124.282 129.641 133.333
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
.0288 .0278 .0268 .0259 .0251
.0243 .0215 .0174 .0166 .0133
.0109 .0105 .00917 .00782 .00675
.00517 .001497 .000546 .000214 0
1.000 2.008 3.023 4.045 5.076
6.114 7.159 8.213 9.275 10.344
11.422 12.508 13.601 14.703 15.814
16.932 18.059 19.195 20.339 21.491
22.652 23.822 25.001 26.188 27.385
28.590 29.805 31.028 32.261 33.503
34.754 36.015 37.285 38.565 39.854
41.153 46.446 57.521 60.394 75.424
91.620 95.007 109.1 127.9 148.1
193.5 668 1831 4681
0.75%
Arithmetic Gradient
Present Worth Factor P/G
Uniform
Payment
Factor
A/G
N
0
0
1
.985
.498
2
2.941
.995
3
5.852
1.491
4
9.706
1.985
5
14.487 20.181 26.775 34.254 42.606
2.478
6
2.970
7
3.461
8
3.950
9
4.438
10
51.817 61.874 72.763 84.472 96.988
4.925
11
5.411
12
5.895
13
6.379
14
6.861
15
110.297 124.389 139.249 154.867 171.230
7.341
16
7.821
17
8.299
18
8.776
19
9.252
20
188.325
9.726
21
206.142
10.199
22
224.668
10.671
23
243.892
11.142
24
263.803
11.612
25
284.389
12.080
26
305.639
12.547
27
327.542
13.013
28
350.087
13.477
29
373.263
13.941
30
397.060
14.403
31
421.468
14.864
32
446.475
15.323
33
472.071
15.782
34
498.247
16.239
35
524.992
16.695
36
637.469
18.506
40
886.840
22.069
48
953.849
22.948
50
1314
27.266
60
1709 1791 2132 2578 3041
31.463
70
32.288
72
35.539
80
39.495
90
43.331 100
3999 9494 13312 15513 17778
50.652 120 85.421 240 107.114 360 119.662 480 133.333
esch_app_b.qxd 2/12/03 6:03 PM Page 555
1%
Single Payment
Compound Present
Amount
Worth
Factor
Factor
N
F/P
P/F
1
1.010
.9901
2
1.020
.9803
3
1.030
.9706
4
1.041
.9610
5
1.051
.9515
6
1.062
.9420
7
1.072
.9327
8
1.083
.9235
9
1.094
.9143
10
1.105
.9053
11
1.116
.8963
12
1.127
.8874
13
1.138
.8787
14
1.149
.8700
15
1.161
.8613
16
1.173
.8528
17
1.184
.8444
18
1.196
.8360
19
1.208
.8277
20
1.220
.8195
21
1.232
.8114
22
1.245
.8034
23
1.257
.7954
24
1.270
.7876
25
1.282
.7798
26
1.295
.7720
27
1.308
.7644
28
1.321
.7568
29
1.335
.7493
30
1.348
.7419
31
1.361
.7346
32
1.375
.7273
33
1.389
.7201
34
1.403
.7130
35
1.417
.7059
36
1.431
.6989
40
1.489
.6717
48
1.612
.6203
50
1.645
.6080
60
1.817
.5504
70
2.007
.4983
72
2.047
.4885
80
2.217
.4511
90
2.449
.4084
100
2.705
.3697
120
3.300
.3030
240
10.89
.09181
360
35.95
.02782
480
118.65
.00843
0
END-OF-PERIOD COMPOUND INTEREST TABLES 555
End-of-Period Compound Interest Factors
Uniform Payment Series
Capital Recovery
Factor A/P
Present Worth Factor
P/A
Sinking Fund Factor A/F
Compound Amount Factor F/A
1.0100 .5075 .3400 .2563 .2060
.1725 .1486 .1307 .1167 .1056
.0965 .0888 .0824 .0769 .0721
.0679 .0643 .0610 .0581 .0554
.0530 .0509 .0489 .0471 .0454
.0439 .0424 .0411 .0399 .0387
.0377 .0367 .0357 .0348 .0340
.0332 .0305 .0263 .0255 .0222
.0199 .0196 .0182 .0169 .0159
.0143 .0110 .0103 .0101 .01
.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 15.562 16.398 17.226 18.046
18.857 19.660 20.456 21.243 22.023
22.795 23.560 24.316 25.066 25.808
26.542 27.270 27.990 28.703 29.409
30.108 32.835 37.974 39.196 44.955
50.169 51.150 54.888 59.161 63.029
69.701 90.819 97.218 99.157 100
1.0000 .4975 .3300 .2463 .1960
.1625 .1386 .1207 .1067 .0956
.0865 .0788 .0724 .0669 .0621
.0579 .0543 .0510 .0481 .0454
.0430 .0409 .0389 .0371 .0354
.0339 .0324 .0311 .0299 .0287
.0277 .0267 .0257 .0248 .0240
.0232 .0205 .0163 .0155 .0122
.00993 .00955 .00822 .00690 .00587
.00435 .00101 .000286 .000085 0
1.000 2.010 3.030 4.060 5.101
6.152 7.214 8.286 9.369 10.462
11.567 12.683 13.809 14.947 16.097
17.258 18.430 19.615 20.811 22.019
23.239 24.472 25.716 26.973 28.243
29.526 30.821 32.129 33.450 34.785
36.133 37.494 38.869 40.258 41.660
43.077 48.886 61.223 64.463 81.670
100.7 104.7 121.7 144.9 170.5
230.0 989 3495 11765
1%
Arithmetic Gradient
Present Worth Factor P/G
Uniform
Payment
Factor
A/G
N
0
0
1
.980
.498
2
2.921
.993
3
5.804
1.488
4
9.610
1.980
5
14.321 19.917 26.381 33.696 41.843
2.471
6
2.960
7
3.448
8
3.934
9
4.418
10
50.807 60.569 71.113 82.422 94.481
4.901
11
5.381
12
5.861
13
6.338
14
6.814
15
107.273 120.783 134.996 149.895 165.466
7.289
16
7.761
17
8.232
18
8.702
19
9.169
20
181.695
9.635
21
198.566
10.100
22
216.066
10.563
23
234.180
11.024
24
252.894
11.483
25
272.196
11.941
26
292.070
12.397
27
312.505
12.852
28
333.486
13.304
29
355.002
13.756
30
377.039
14.205
31
399.586
14.653
32
422.629
15.099
33
446.157
15.544
34
470.158
15.987
35
494.621
16.428
36
596.856
18.178
40
820.146
21.598
48
879.418
22.436
50
1192.806
26.533
60
1528.647 1597.867 1879.877 2240.567 2605.776
30.470
70
31.239
72
34.249
80
37.872
90
41.343 100
3334.115
47.835 120
6878.602 75.739 240
8720.432 89.699 360
9511.158 95.920 480
10000
100
................
................
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