Compound Interest Tables

t

I
I

Compound Interest

Tables
Values of Interest Factors When N Equals Infinity
Single Payment:
(F/P, i, 00) = 00
(P/F, i, 00) = 0
Arithmetic Gradient Series:
(A/G, i, 00) = l/i
(PIG, i, 00) = l/P

I

-----

Uniform Payment Series:
(A/F, i, 00) = 0
(A/P, i, 00) = i
(F/A, i, 00) = 00
(PIA, i, 00) = l/i

:1
;,

._---.._----jI
:

I

COMPOUND

INTERESTTABLES

Compound Interest Factors

0/0

Single Payment

561

1/20/0
Arithmetic Gradient

Uniform Payment Series

Compound
Amount
Factor
Find F
Given P
FIP

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

n

1.005
1.010
1.015
1.020
1.025
1.030
1.036
1.041
1.046
1.051
1.056
1.062
1.067
1.072
1.078
1.083
1.088
1.094
1.099
1.105
1.110
1.116
1.122
1.127
1.133
1.138
1.144
1.150
1.156
,.161
1.197
1.221
1.270
1.283
1.296
1.349
1.418
1.432
1.490
1.520
1.567
1.614
1.647
1.680
1.819
3.310
6.023
10.957

.9950
.9901
.9851
.9802
.9754
.9705
.9657
.9609
.9561
.9513
.9466
.9419
.9372
.9326
.9279
.9233
.9187
.9141
.9096
.9051
.9006
.8961
.8916
.8872
.8828
.8784
.8740
.8697
.8653
.8610
.8356
.8191
.7871
.7793
.7716
.7414
.7053
.6983
.6710
.6577
.6383
.6195
.6073
.5953
.5496
.3021
.1660
.0913

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

1.0050
.5038
.3367
.2531
.2030

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
39.336
44.159
54.098
56.645
59.218
69.770
83.566
86.409
98.068
104.074
113.311
122.829
129.334
135.970
163.880
462.041
1004.5
1 991.5

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

0
0.499
0.996
1.494
1.990
2.486
2.980
3.474
3.967
4.459
4.950
5.441
5.931
6.419
6.907
7.394
7.880
8.366
8.850
9.334
9.817
10.300
10.781
11.261
11.741
12.220
12.698
13.175
13.651

0
0.991
2.959
5.903
9.803
14.660
20.448
27.178
34.825
43.389
52.855
63.218
74.465
86.590
99.574
113.427
128.125
143.668
160.037
177.237
195.245
214.070
233.680
254.088
275.273
297.233
319.955
343.439
367.672
392.640
557.564
681.341
959.928
1 035.70
1 113.82
1 448.65
1 913.65
2012.35
2424.65
2 640.67
2 976.08
3324.19
3 562.80
3 806.29
4 823.52
13415.56
21 403.32
27 588.37

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

.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
.0304
.0276
.0235
.0227
.0219
.0193
.0170
.0166
.0152
.0146
.0138
.0131
.0127
.0124
.0111
.00716
.00600
.00550

---

14.127.
16.962
18.836
22.544
23.463
24.378
28.007
32.468
33.351
36.848
38.576
41.145
43.685
45.361
47.025
53.551
96.113
128.324
151.795

.

'.

..........-

562

COMPOUND

INTERESTTABLES

Compound Interest Factors

3/4%

n

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

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

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
.0318
.0290
.0249
.0241
.0233
.0208
.0184
.0180
.0167
.0161
.0153
.0147
.0143
.0139

1.000
2.008
3.023
4.045
5.076
6.114
7.160
8.213
9.275
10.344
11.422
12.508
13.602
14.704
15.814
16.932
18.059
19.195
20.339
21.491
22.653
23.823
25.001
26.189
27.385
28.591
29.805
31.029
32.261
33.503
41.153
46.447
57.521
60.395
63.312
75.425
91.621
95.008
109.074
116.428
127.881
139.858
148.147
156.687

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

0
0.499
0.996
1.492
1.986
2.479
2.971
3.462
3.951
4.440
4.927
5.412
5.897
6.380
6.862
7.343
7.822
8.300
8.777
9.253
9.727
10.201
10.673
11.143
11.613
12.081
12.548
13.014
13.479
13.942
16.696
18.507
22.070
22.949
23.822
27.268
31.465
32.289
35.540
37.137
39.496
41.812
43.332
44.834

0
0.987
2.943
5.857
9.712
14.494
20.187
26.785
34.265
42.619
51.831
61.889
72.779
84.491
97.005
110.318
124.410
139.273
154.891
171.254
188.352
206.170
224.695
243.924
263.834
284.421
305.672
327.576
350.122
373.302
525.038
37.519
886.899
953.911
1 022.64
1313.59
1 708.68
1 791.33
2 132.23
2 308.22
2 578.09
2 854.04
3 040.85
3229.60

193.517

78.942

50.653

3 998.68

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

667.901
1 830.8
4681.5

111.145
124.282
129.641

85.422
107.115
119.662

9 494.26
13 312.50
15513.16

240
360
480

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
tOO
t04

1.309
1.348
1.431
1.453
1.475
1.566
1.687
1.713
1.818
1.873
1.959
2.049
2.111
2.175

.9926
.9852
.9778
.9706
.9633
.9562
.9490
.9420
.9350
.9280
.9211
.9142
.9074
.9007
.8940
.8873
.8807
.8742
.8676
.8612
.8548
.8484
.8421
.8358
.8296
.8234
.8173
.8112
.8052
.7992
.7641
.7416
.6986
.6882
.6780
.6387
.5927
.5839
.5500
.5338
.5104
.4881
.4737
.4597

l20

2.451

.4079

.00517

.0127

O
160
180

6.009
14.731
36.111

.1664
.0679
.0277

.00150
.00055
.00021

.00900
.00805
.00771

1.008
1.015
1.023
1.030
1.038
1.046
1.054
1.062
1.070
1.078
1.086
1.094
1.102
1.110
1.119
1.127
1.135
1.144
1.153
1.161
1.170
1.179
1.188
1.196
1.205
1.214
1.224
1.233
1.242

1.251 .

Arithmetic Gradient

Uniform Payment Series

Single Payment
Compound
Amount
Factor
Find F
Given P
FIP

3/4%

-

- -

Gradient
Present
Worth
Find P
Given G
PIG

n

=

,c':<f.

...

COMPOUND

INTEREST TABLES

I

0

1%

Compound Interest Factors
Single
- Payment
Present
Compound
Amount
Worth
Factor
Factor
Find F
Find P
Given P
Given F
FIP
PIF

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

n

1.000
2.010
3.030
4.060
5.101
6.152
7.214
8.286
9.369
10.462
11.567
12.682
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

0.990
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

0
0.498
0.993
1.488
1.980
2.471
2.960
3.448
3.934
4.418
4.900
5.381
5.861
6.338
6.814
7.289
7.761
8.232
8.702
9.169
9.635
10.100
10.563
11.024
11.483
11.941
12.397
12.852
13.304
13.756 .

0
0.980
2.921
5.804
9.610
14.320
19.917
26.381
33.695
41.843
50.806
60.568
71.112
82.422
94.481
107.273
120.783
134.995
149.895
165.465
181.694
198.565
216.065
234.179
252.892
272.195
292.069
312.504
333.486

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

355.001

30

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
596.854
820.144
879.417
939.916

36
40
48
50
52

.0222
.0199
.0196
.0182
.0177

81.670
100.676
104.710
121.671
130.672

44.955
50.168

26.533
30.470
31.239
34.249
35.717

1 192.80
1 528.64
1 597.86
1879.87
2023.31

.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

2 240.56
2459.42
2605.77
2752.17
3334.11

.00101
.00029
.00008

.0110
.0103
.0101

989.254
3495.0
11 764.8

90.819
97.218
99.157

37.872
39.973
41.343
42.688
47.835
75.739
89.699
95.920

60
70
72
80
84
90
96
100
104
120

6 878.59
8 720.43
9511.15

240
360
480

Capital
Recovery
Factor
Find A
Given P
AlP

.9901
.9803
.9706
.9610
.9515
.9420
.9327
.9235
.9143
.9053
.8963
.8874
.8787
.8700
.8613
.8528
.8444
.8360
.8277
.8195
.8114
.8034
.7954
.7876
.7798
.7720
.7644
.7568
.7493
.7419

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

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

1.431
1.489
1.612
1.645
1.678

.6989
.6717
.6203
.6080
.5961

.0332
.0305
.0263
.0255
.0248

1.817
2.007
2.047
2.217
2.307

.5504
.4983
.4885
.4511
.4335

.0232
.0205
.0163
.0155
.0148
.0122
.00993
.00955
.00822
.00765

2.449
2.599
2.705
2.815
3.300

.4084
.3847
.3697
.3553
.3030
.0918
.0278
.00843

10.893
35.950
118.648

---

Arithmetic Gradient

Uniform Payment Series
Sinking
Fund
Factor
Find A
Given F
AIF

1.010
1.020
1.030
1.041
1.051
1.062
1.072
1.083
1.094
1.105
1.116
1.127
1.138
1.149
1.161
1.173
1.184
1.196
1.208
1.220
1.232
1.245
1.257
1.270
1.282
1.295
1.308
1.321
1.335
1.348

563

_ _ 51.150
54.888
56.648

.

-

.4

COMPOUND INTERESTTABLES

1/4%

CompoundInterestFactors
Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

1.013
1.025
1.038
1.051
1.064
1.077
1.091
1.104
1.118
1.132
1.146
1.161
1.175
1.190

.9877
.9755
.9634
.9515
.9398
.9282
.9167
.9054
.8942
.8832
.8723
.8615
.8509
.8404

1.0000
.4969
.3292
.2454
.1951
.1615
.1376
.1196
.1057
.0945
.0854
.0778
.0713
.0658

1.0125
.5094
.3417
.2579
.2076
.1740
.1501
.1321
.1182
.1070
.0979
.0903
.0838
.0783

1.000
2.013
3.038
4.076
5.127
6.191
7.268
8.359
9.463
10.582
11.714
12.860
14.021
15.196

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

0
0.497
0.992
1.485
1.976
2.464
2.951
3.435
3.918
4.398
4.876
5.352
5.827
6.299

0
0.976
2.904
5.759
9.518
14.160
19.660
25.998
33.152
41.101
49.825
59.302
69.513
80.438

1.205

.8300

.0610

.0735

16.386

13.601

6.769

92.058

1.220
1.235
1.251
1.266
1.282

15

.8197
.8096
.7996
.7898
.7800

.0568
.0532
.0499
.0470
.0443

.0693
.0657
.0624
.0595
.0568

17.591
18.811
20.046
21.297
22.563

14.420
15.230
16.030
16.849
17.599

7.237
7.702
8.166
8.628
9.088

104.355
117.309
130.903
145.119
159.940

16
17
18
19
20

I

1.298
1.314
1.331
1.347
1.364

.7704
.7609
.7515
.7422
.7330

.0419
.0398
.0378
.0360
.0343

.0544
.0523
.0503
.0485
.0468

23.845
25.143
26.458
27.788
29.136

18.370
19.131
19.882
20.624
21.357

9.545
10.001
10.455
10.906
11.355

175.348
191.327
207.859
224.930
242.523

21
22
23
24
25

)
7
i
)
)
)
)
J
)
t

1.381
1.399
1.416
1.434
1.452

.7240
.7150
.7062
.6975
.6889

.0453
.0439
.0425
.0413
.0402

11.803
12.248
12.691
13.133
13.572

260.623
279.215
298.284
317.814
337.792

26
27
28
29
30

.6394
.6084
.5509
.5373
.5242

.0347
.0319
.0278
.0270
.0263

30.500
31.881
32.280
34.696
36.129
45.116
51.490
65.229
68.882
72.628

22.081
22.796
23.503
24.200
24.889

1.564
1.644
1.845
1.861
1.908

.0328
.0314
.0300
.0288
.0277
.0222
.0194
.0153
.0145
.0138

28.847
31.327
35.932
37.013
38.068

16.164
17.852
21.130
21.930
22.722

466.297
559.247
759.248
811.692
864.960

36
40
48
50
52

2.107
2.386
2.446
2.701
2.839

.4746
.4191
.4088
.3702
.3522

.0113
.00902
.00864

.0238
.0215
.0211

88.575
110.873
115.675
136.120

42.035
46.470
47.293
50.387

25.809
29.492
30.205
32.983

1 084.86
1 370.47
1 428.48
1 661.89

60
70
72
80

3.059
3.296

.3269
.3034

.00680
.00607
.00545

.0193
.0186
.0179

147.130
164.706
183.643

51.822
53.846
55.725

34.326
36.286
38.180

1778.86
1953.85
2 127.55

84
90
96

3.463
3.640
4.440
19.716
87.543
388.713

.2887
.2747
.2252
.0507
.0114
.00257

.00507
.00474
.00363
.00067
.00014
.00003

56.901
58.021
61.983
75.942
79.086
79.794

39.406
40.604
45.119
67.177
75.840
78.762

2 242.26
2355.90
2 796.59
5 101.55
5997.91
6284.74

100
104
120
240
360
480

Compound
Amount
Factor
Find F
Given P
FIP

a
)
7
)
)

L
!

a
)
7
)
)

Arithmetic Gradient

Uniform Payment Series

Single Payment

L
!

11/4%

.00735

.---...&
..

.0176
.0172
.0161
.0132
.0126
.0125

197.074
211.190
275.220
1497.3
6 923.4
31017.1

Gradient
Present
Worth
Find P
Given G
PIG

n
1
2
3
4
5
6
7
8
9
10
11
12
13
14

,

I
,

i

,
I

I

I

1
--,

J
J

......

.

-

COMPOUND INTERESTTABLES
,2 0;;0

Compound Interest Factors

11/20/0
Arithmetic Gradient

Uniform Payment Series

Single Payment
Compound
Amount
Factor
Find F
Given P
FIP

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

1.015
1.030
1.046
1.061
1.077
1.093
1.110
1.126
1.143
1.161
1.178
1.196
1.214
1.232
1.250
1.269
1.288
1.307
1.327
1.347
1.367
1.388
1.408
1.430
1.451
1.473
1.495
1.517
1.540
1.563
1.709
1.814
2.043
2.105
2.169
2.443
2.835
2.921
3.291
3.493
3.819
4.176
4.432
4.704
5.969
35.632
212.700
1 269.7

.9852
.9707
.9563
.9422
.9283
.9145
.9010
.8877
.8746
.8617
.8489
.8364
.8240
.8118
.7999
.7880
.7764
.7649
.7536
.7425
.7315
.7207
.7100
.6995
.6892
.6790
.6690
.6591
.6494
.6398
.5851
.5513
.4894
.4750
.4611
.4093
.3527
.3423
.3039
.2863
.2619
.2395
.2256
.2126
.1675
.0281
.00470
.00079

1.0000
.4963
.3284
.2444
.1941
.1605
.1366
.1l86
.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

1.0150
.5113
.3434
.2594
.2091
.1755.
.1516
.1336
.1l96
.1084
.0993
.0917
.0852
.0797
.0749
.0708
.0671
.0638
.0609
.0582
.0559
.0537
.0517
.0499
.0483
.0467
.0453
.0440
.0428
.0416
.0362
.0334
.0294
.0286
.0278
.0254
.0232
.0228
.0215
.0210
.0203
.0197
.0194
.0190
.0180
.0154
.0151
.0150

1.000
2.015
3.045
4.091
5.152
6.230
7.323
8.433
9.559
10.703
11.863
13.041
14.237
15.450
16.682
17.932
19.201
20.489
21.797
23.124
24.470
25.837
27.225
28.633
30.063
31.514
32.987
34.481
35.999
37.539
47.276
54.268
69.565
73.682
77.925
96.214
122.363
128.076
152.710
166.172
187.929
211.719
228.802
246.932
331.286
2 308.8
14 113.3
84 577.8

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

0
0.496
0.990
1.481
1.970
2.456
2.940
3.422
3.901
4.377
4.851
5.322
5.791
6.258
6.722
7.184
7.643
8.100
8.554
9.005
9.455
9.902
10.346
10.788
11.227
11.664
12.099
12.531
12.961
13.388
15.901
17.528
20.666
21.428
22.179
25.093
28.529
29.189
31.742
32.967
34.740
36.438
37.529
38.589
42.518
59.737
64.966
66.288

0
0.970
2.883
5.709
9.422
13.994
19.400
25.614
32.610
40.365
48.855
58.054
67.943
78.496
89.694
101.514
113.937
126.940
140.505
154.611
169.241
184.375
199.996
216.085
232.626
249.601
266.995
284.790
302.972
321.525
439.823
524.349
703.537
749.955
796.868
988.157
1 231.15
1 279.78
1 473.06
1 568.50
1 709.53
1 847.46
1 937.43
2 025.69
2359.69
3 870.68
4310.71
4415.74

.

565

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

-

--

-

-

-

-

-

-

-

COMPOUND INTERESTTABLES
%

1
2
3
4
5
6
7
8
9
.0
1
.2
3
4
5
6
7
8
9
0
1
2
3
:I
5
7
)
)

2%

Compound Interest Factors
Single Payment

567

Uniform Payment Series

-

Arithmetic Gradient

Compound
Amount
Factor
Find F
Given P
FIP

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

n

1.020
1.040
1.061
1.082
1.104
1.126
1.149
1.172
1.195
1.219
1.243
1.268
1.294
1.319
1.346
1.373
1.400
1.428
1.457
1.486
1.516
1.546
1.577
1.608
1.641
1.673
1.707
1.741
1.776
1.811
2.040
2.208
2.587
2.692
2.800
3.281
4.000
4.161
4.875
5.277
5.943
6.693
7.245
7.842
10.765
115.887
1 247.5
13 429.8

.9804
.9612
.9423
.9238
.9057
.8880
.8706
.8535
.8368
.8203
.8043
.7885
.7730
.7579
.7430
.7284
.7142
.7002
.6864
.6730
.6598
.6468
.6342
.6217
.6095
.5976
.5859
.5744
.5631
.5521
.4902
.4529
.3865
.3715
.3571
.3048
.2500
.2403
.2051
.1895
.1683
.1494
.1380
.1275
.0929
.00863
.00080
.00007

1.0000
.4951
.3268
.2426
.1922
.1585
.1345
.1165
.1025
.0913
.0822
.0746
.0681
.0626
.0578
.0537
.0500
.0467
.0438
.0412
.0388
.0366
.0347
.0329
.0312
.0297
.0283
.0270
.0258

1.0200
.5151
.3468
.2626
.2122
.1785
.1545
.1365
.1225
.1113
.1022
.0946
.0881
.0826
.0778
.0737
.0700
.0667
.0638
.0612
.0588
.0566
.0547
.0529
.0512
.0497
.0483
.0470
.0458
.0447
.0392
.0366
.0326
.0318
.0311
.0288
.0267
.0263
.0252
.0247
.0240
.0235
.0232
.0229
.0220
.0202
.0200
.0200

1.000
2.020
3.060
4.122
5.204
6.308
7.434
8.583
9.755
10.950
12.169
13.412
14.680
15.974
17.293
18.639
20.012
21.412
22.840
24.297
25.783
27.299
28.845
30.422
32.030
33.671
35.344
37.051
38.792
40.568
51.994
60.402
79.353
84.579
90.016
114.051
149.977
158.056
193.771
213.865
247.155
284.645
312.230
342.090
488.255
5 744.4
62 326.8
671 442.0

0.980
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
14.292
14.992
15.678
16.351
17.011
17.658
18.292
18.914
19.523
20.121
20.707
21.281
21.844
22.396
25.489
27.355
30.673
31.424
32.145
34.761
37.499
37.984
39.744
40.525
41.587
42.529
43.098
43.624
45.355
49.569
49.960
49.996

0
0.495
0.987
1.475
1.960
2.442
2.921
3.396
3.868
4.337
4.802
5.264
5.723
6.178
6.631
7.080
7.526
7.968
8.407
8.843
9.276
9.705
10.132
10.555
10.974
11.391
11.804
12.214
12.621
13.025
15.381
16.888
19.755
20.442
21.116
23.696
26.663
27.223
29.357
30.361
31.793
33.137
33.986
34.799
37.711
47.911
49.711
49.964

0
0.961
2.846
5.617
9.240
13.679
18.903
24.877
31.571
38.954
46.996
55.669
64.946
74.798
85.200
.96.127
107.553
119.456
131.812
144.598
157.793
171.377
185.328
199.628
214.256
229.196
244.428
259.936
275.703
291.713
392.036
461.989
605.961
642.355
678.779
823.692
999.829
1 034.050
1 166.781
1 230.413
1 322.164
1409.291
1464.747
1518.082
1 710.411
2 374.878
2 483.567
2 498.027

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

.

.0247
.0192
.0166
.0126
.0118
.0111
.00877
.00667
.00633
.00516
.00468
.00405
.00351
.00320
.00292
.00205
.00017
.00002

.._4'____

- - __ ____

_'_0"

INTERESTTABLES

COMPOUND

569

CompoundInterestFactors
Arithmetic Gradient

UniformPaymentSeries

Single Payment

Compound
Amount
Factor
FindF
Given P
FIP

Present
Worth
Factor
FindP
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

1.030
1.061
1.093
1.126
1.159
1.194
1.230
1.267
1.305
1.344
1.384
1.426
1.469
1.513
1.558
1.605
1.653
1.702
1.754
1.806
1.860
1.916
1.974
2.033
2.094
2.157
2.221
2.288
2.357
2.427
2.500
2.575
2.652
2.732
2.814
3.262
3.782
4.384
5.082
5.892
6.830
7.918
9.179
10.641
12.336
14.300
16.578
19.219

.9709
.9426
.9151
.8885
.8626
.8375
.8131
.7894
.7664
.7441
.7224
.7014
.6810
.6611
.6419
.6232
.6050
.5874
.5703
.5537
.5375
.5219
.5067
.4919
.4776
.4637
.4502
.4371
.4243
.4120
.4000
.3883
.3770
.3660
.3554
.3066
.2644
.2281
.1968
.1697
.1464
.1263
.1089
.0940
.0811
.0699
.0603
.0520

1.0000
.4926
.3235
.2390
.1884
.1546
.1305
.1125
.0984
.0872
.0781
.0705
.0640
.0585
.0538
.0496
.0460
.0427
.0398
.0372
.0349
.0327
.0308
.0290
.0274
.0259
.0246
.0233
.0221
.0210
.0200
.0190
.0182
.0173
.0165
.0133
.0108
.00887
.00735
.00613
.00515
.00434
.00367
.00311
.00265
.00226
.00193
.00165

Capital
Recovery
Factor
FindA
Given P
AlP
1.0300
.5226
.3535
.2690
.2184
.1846
.1605
.1425
.1284
.1172
.1081
.1005
.0940
.0885
.0838
.0796
.0760
.0727
.0698
.0672
.0649
.0627
.0608
.0590
.0574
.0559
.0546
.0533
.0521
"';-.0510
.0500
.0490
.0482
.0473
.0465
.0433
.0408
.0389
.0373
.0361
.0351
.0343
.0337
.0331
.0326
.0323
.0319
.0316
- ---

Compound
Amount
Factor
FindF
Given A
FIA

Present
Worth
Factor
FindP
Given A
PIA

1.000
2.030
3.091
4.184
5.309
6.468
7.662
8.892
10.159
11.464
12.808
14.192
15.618
17.086
18.599
20.157
21.762
23.414
25.117
26.870
28.676
30.537
32.453
34.426
36.459
38.553
40.710
42.931
45.219
47.575
50.003
52.503
55.078
57.730
60.462
75.401
92.720
112.797
136.072
163.053
194.333

0.971
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
13.166
13.754
14.324
14.877
15.415
15.937
16.444
16.936
17.413
17.877
18.327
18.764
19.188
19.600
20.000
20.389
20.766
21.132
21.487
23.115
24.519
25.730
26.774
27.676
28.453
29.123
29.702
30.201
30.631
31.002
31.323
31.599

.230.594
.

272.631
321.363
377.857
443.349
519.272
607.287
-

Gradient
Uniform
Series
Find A
Given G
AIG

o
0.493
0.980
1.463
1.941
2.414
2.882
3.345
3.803
4.256
4.705
5.148
5.587
6.021
6.450
6.874
7.294
7.708
8.118
8.523
8.923
9.319
9.709
10.095
10.477
10.853
11.226
11.593
11.956
12.314
12.668
13.017
13.362
13.702
14.037
15.650
17.156
18.558
19.860
21.067
22.184
23.215
24.163
25.035
25.835
26.567
27.235
27.844

Gradient
Present
Worth
FindP
Given G
PIG

o
0.943
2.773
5.438
8.889
13.076
17.955
23.481
29.612
36.309
43.533
51.248
59.419
68.014
77.000
86.348
96.028
106.014
116.279
126.799
137.549
148.509 .
159.656
170.971
-182.433
194.026
205.731
217.532
229.413
241.361
253.361
265.399
277.464
289.544
301.627
361.750
420.632
477.480
531.741
583.052
631.201
676.087
717.698
756.086
791.353
823.630
853.074
879.854

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
31
32
33
34
35
40
45
50
55
60
65
70
75
80
85
90
95
100

--

---

--

-_.._.__._--_._-

- --_.._--

- -----

r-t:::

-

.::::
INTEREST
COMPOUND

TABLES

571

.I
I

I

Yo

Amount
Factor
Find F
Given P
FIP

Fund
Factor
Find A
Given F
AIF

Recovery
Factor
Find A
Given P
AlP

1.040
1.082
1.125
1.170
1.217
1.265
1.316
1.369
1.423
1.480
1.539
1.601
1.665
1.732
1.801
1.873
1.948
2.026
2.107
2.191
2.279
2.370
2.465
2.563
2.666
2.772
2.883
2.999
3.119
3.243
3.373
3.508
3.648
3.794
3.946
4.801
5.841
7.107
8.646
10.520
12.799
15.572
18.945
23.050
28.044
34.119
41.511
50.505

.9615
.9246
.8890
.8548
.8219
.7903
.7599
.7307
.7026
.6756
.6496
.6246
.6006
.5775
.5553
.5339
.5134
.4936
.4746
.4564
.4388
.4220
.4057
.3901
.3751
.3607
.3468
.3335
.3207
.3083
.2965
.2851
.2741
.2636
.2534
.2083
.1712
.1407
.1157
.0951
.0781
.0642
.0528
.0434
.0357
.0293
.0241
.0198

1.0000
.4902
.3203
.2355
.1846
.1508
.1266
.1085
.0945
.0833
.0741
.0666
.0601
.0547
.0499
.0458
.0422
.0390
.0361
.0336
.0313
.0292
.0273
.0256
.0240
.0226
.0212
.0200
.0189
.0178
.0169
.0159
.0151
.0143
.0136
.0105
.00826
.00655
.00523
.00420
.00339
.00275
.00223
.00181
.00148
.00121
.00099
.00081

1.0400
.5302
.3603
.2755
.2246
.1908
.1666
.1485
.1345
.1233
.1141
.1066
.1001
.0947
.0899
.0858
.0822
.0790
.0761
.0736
.0713
.0692
.0673
.0656
.0640
.0626
.0612
.0600
.0589
.0578
.0569
.0559
.0551
.0543
.0536
.0505
.0483
.0466
.0452
.0442
.0434
.0427
.0422
.0418
.0415
.0412
.0410
.0408

Sinking

Capital

'
. (
,ru::

Arithmetic Gradient

Uniform Payment Series

Present
Worth
Factor
Find P
Given F
PIF

Compound

I

".51

Gradient

Gradient

Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Uniform
Series
Find A
Given G
AIG

Present
Worth
Find P
Given G
PIG

n

1.000
2.040
3.122
4.246
5.416
6.633
7.898
9.214
10.583
12.006
13.486
15.026
16.627
18.292
20.024
21.825
23.697
25.645
27.671
29.778
31.969
34.248
36.618
39.083
41.646
44.312
47.084
49.968
52.966
56.085
59.328
62.701
66.209
69.858
73.652
95.025
121.029
152.667
191.159
237.990
294.968
364.290
448.630
551.244
676.089
827.981
1 012.8
1 237.6

0.962
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
12.166
12.659
13.134
13.590
14.029
14.451
14.857
15.247
15.622
15.983
16.330
16.663
16.984
17.292
17.588
17.874
18.148
18.411
18.665
19.793
20.720
21.482
22.109
22.623
23.047
23.395
23.680
23.915
24.109
24.267
24.398
24.505

0
0.490
0.974
1.451
1.922
2.386
2.843
3.294
3.739
4.177
4.609
5.034
5.453
5.866
6.272
6.672
7.066
7.453
7.834
8.209
8.578
8.941
9.297
9.648
9.993
10.331
10.664
10.991
11.312
11.627
11.937
12.241
12.540
12.832
13.120
14.476
15.705
16.812
17.807
18.697
19.491
20.196
20.821
21.372
21.857
22.283
22.655
22.980

0
0.925
2.702
5.267
8.555
12.506
17.066
22.180
27.801
33.881
40.377
47.248
54.454
61.962
69.735
77.744
85.958
94.350
102.893
111.564
120.341
129.202
138.128
147.101
156.104
165.121
174.138
183.142
192.120
201.062
209.955
218.792
227.563
236.260
244.876
286.530
325.402
361.163
393.689
422.996
449.201
472.479
493.041
511.116
526.938
540.737
552.730
563.125

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
31
32
33
34
35
40
45
50
55
60
65
70
75
80
85
90
95
100

Compound

-

",\
';"

'i;

4%

CompoundInterestFactors
Single Payment

f'
.

--

- - - -

1j
'

,;!""

;.,ill"
;'
'

,#..:

'

:}

:;

r

.

,I

I

. :..7,j
.
II'"

I

I

- -

-- -

--

-"- - -

. -----_.-

- -. -_.- --

--_._-_.._.._---.

---

-

TABLES 573
COMPOUNDINTEREST
5%

CompoundInterestFactors
Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

n

1.000
2.050
3.152
4.310
5.526
6.802
8.142
9.549
11.027
12.578
14.207
15.917
17.713
19.599
21.579
23.657
25.840
28.132
30.539
33.066
35.719
38.505
41.430
44.502
47.727
51.113
54.669
58.402
62.323
66.439
70.761
75.299
80.063
85.067

0.952
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
11.274
11.690
12.085
12.462
12.821
13.163
13.489
13.799
14.094
14.375
14.643
14.898
15.141
15.372 15.593
15.803
16.003
16.193

0
0.488
0.967
1.439
1.902
2.358
2.805
3.244
3.676
4.099
4.514
4.922
5.321
5.713
6.097
6.474
6.842
7.203
7.557 7.903
8.242
8.573
8.897
9.214
9.524
9.827
10.122
10.411
10.694
10.969
11.238
11.501
11.757
12.006

0
0.907
2.635
5.103
8.237
11.968
16.232
20.970
26.127
31.652
37.499
43.624
49.988
56.553
63.288
70.159
77.140
84.204
91.327
98.488
105.667
112.846
120.008
127.140
134.227
141.258
148.222
155.110
161.912
168.622
175.233
181.739
188.135
194.416

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
31
32
33
34

.0611

90.320

16.374

12.250

200.580

35

.00828
.00626
.00478
.00367

.0583
.0563
.0548
.0537

120.799
159.699
209.347
272.711

17.159
17.774
18.256
18.633

13.377
14.364
15.223
15.966

229.545
255.314
277.914
297.510

40
45
50
55

.00283
.00219
.00170
.00132
.00103
.00080
.00063
.00049
.00038

.0528
.0522
.0517
.0513
.0510
.0508
.0506
.0505
.0504

353.582
456.795
588.525
756.649
971.222
1 245.1
1 594.6
2040.7
2610.0

18.929
19.161
19.343
19.485
19.596
19.684
19.752
19.806
19.848

16.606
17.154
17.621
18.018
18.353
18.635
18.871
19.069
19.234

314.343
328.691
340.841
351.072
359.646
366.800
372.749
377.677
381.749

60
65
70
75
80
85
90
95
100

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

1.050

.9524

1.102

1.158
1.216
1.276
1.340
1.407
1.477
1.551

.9070
.8638
.8227
.7835
.7462
.7107
.6768
.6446

.629

.6139

1.710
1.796
1.886
1.980
2.079
2.183
2.292
2.407
2.527
2.653
2.786
2.925
3.072
3.225
3.386
3.556
3.733
3.920
4.116
322
4.538
4.765
5.003
5.253

.5847
.5568
.5303
.5051
.4810
.4581
.4363
.4155
.3957
.3769
.3589
.3419
.3256
.3101
.2953
.2812
.2678
.2551
.2429
.2314
.2204
.2099
.1999
.1904

1.0000
.4878
.3172
.2320
.1810
.1470
.1228
.1047
.0907
.0795
.0704
.0628
.0565
.0510
.0463
.0423
.0387
.0355
.0327
.0302
.0280
.0260
.0241
.0225
.0210
.0196
.0183
.0171
.0160
.0151
.0141
.0133
.0125
.0118

1.0500
.5378
.3672
.2820
.2310
.1970
.1728
.1547
.1407
.1295
.1204
.1128
.1065
.1010
.0963
.0923
.0887
.0855
.0827
.0802
.0780
.0760
.0741
.0725
.0710
.0696
.0683
.0671
.0660
.0651 .0641
.0633
.0625
.0618

5.516

.1813

.0111

7.040

.1420
.1113
.0872
.0683

.0535
.0419
.0329
.0258
.0202
.0158
.0124
.00971
.00760

Compound
Amount
Factor
Find F
Given P
FIP

8.985

11.467
14.636

18.679
23.840
30.426
38.832
49.561
63.254
80.730
103.034
131.500

-.-------

Arithmetic Gradient

Uniform Payment Series

Single Payment

-

Compound
Amount
Factor
Find F
Given A
FIA

---

-

---

-

,

I

I,I!.

.

Ie'"
lirl

L

-rl'

II: I
;IIi:

r1:

."'i,

I

B!

(I:H

- - -

- ..----

.______....__n_

--

-

-, .,'

"'-'j
.',;
,-,

-

TABLES 575
COMPOUNDINTEREST

Arithmetic Gradient

Uniform Payment Series

Compound
Amount
Factor
Find F
Given P
FIP

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

n

1.070
1.145
1.225
1.311
1.403
1.501
1.606
1.718
1.838
)67
2.105
2.252
2.410
2.579
2.759
2.952
3.159
3.380
3.617
3.870
4.141
4.430
4.741
5.072
5.427
5.807
6.214
6.649
7.114
2
8.145
8.715
9.325
9.978
10.677
14.974
21.002
29.457
41.315
57.947
81.273
113.990
159.877
224.235
314.502
441.105
618.673
867.720

.9346
.8734
.8163
.7629
.7130
.6663
.6227
.5820
.5439
.5083
.4751
.4440
.4150
.3878
.3624
.3387
.3166
.2959
.2765
.2584
.2415
.2257
.2109
.1971
.1842
.1722
.1609
.1504
.1406
.1314
.1228
.1147
.1072
.1002
.0937
.0668
.0476
.0339
.0242
.0173
.0123
.00877
.00625
.00446
.00318
.00227
.00162
.00115

1.0000
.4831
.3111
.2252
.1739
.1398
.1156
.0975
.0835
.0724
.0634
.0559
.0497
.0443
.0398
.0359
.0324
.0294
.0268
.0244
.0223
.0204
.0187
.0172
.0158
.0146
.0134
.0124
.0114
.0106
.00980
.00907
.00841
.00780
.00723
.00501
.00350
.00246
.00174
.00123
.00087
.00062
.00044
.00031
.00022
.00016
.00011
.00008

1.0700
.5531
.3811
.2952
.2439
.2098
.1856
.1675
.1535
.1424
.1334
.1259
.1197
.1143
.1098
.1059
.1024
.0994
.0968
.0944
.0923
.0904
.0887
.0872
.0858
.0846
.0834
.0824
.0814

1.000
2.070
3.215
4.440
5.751
7.153
8.654
10.260
11.978
13.816
15.784
17.888
20.141
22.551
25.129
27.888
30.840
33.999
37.379
40.996
44.865
49.006
53.436
58.177
63.249
68.677
74.484
80.698
87.347
94.461
102.073
110.218
118.934
128.259
138.237
199.636
285.750
406.530
575.930
813.523
1 146.8
1 614.1
2269.7
3 189.1
4478.6
6287.2
8 823.9
12381.7

0.935
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
9.763
10.059
10.336
10.594
10.836
11.061
11.272
11.469
11.654
11.826
11.987
12.137
12.278

0
0.483
0.955
1.416
1.865
2.303
2.730
3.147
3.552
3.946
4.330
4.703
5.065
5.417
5.758
6.090
6.411
6.722
7.024
7.316
7.599
7.872
8.137
8.392
8.639
8.877
9.107
9.329
9.543
9.749
9.947
10.138
10.322
10.499
10.669
11.423
12.036
12.529
12.921
13.232
13.476
13.666
13.814
13.927
14.015
14.081
14.132
14.170

0
0.873
2.506
4.795
7.647
10.978
14.715
18.789
23.140
27.716
32.467
37.351
42.330
47.372
52.446
57.527
62.592
67.622
72.599
77.509
82.339
87.079
91.720
96.255
100.677
104.981
109.166
113.227
117.162
120.972
124.655
128.212
131.644
134.951
138.135
152.293
163.756
172.905
180.124
185.768
190.145
193.519
196.104
198.075
199.572
200.704
201.558
202.200

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
31
32
33
34
35
40
45
50
55
60
65
70
75
80
85
90
95
100

.0806 .
.0798
.0791
.0784
.0778
.0772
.0750
.0735
.0725
.0717
.0712
.0709
.0706
.0704
.0703
.0702
.0702
.0701
.0701

il1

7%

Compound Interest Factors
Single Payment

I

12.409

12.532
12.647
12.754
12.854
12.948
13.332
13.606
13.801
13.940
14.039
14.110
14.160
14.196
14.222
14.240
14.253
14.263
14.269

.

1!§!';;';i!!,.'S'

I

---,
576
8%

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
31
32
33
34
35
40
45
50
55
60
65
70
75
80
85
90
95
100

8%

CompoundInterestFactors
UniformPaymentSeries

SinglePayment

n

-

TABLES
COMPOUND INTEREST

Compound
Amount
Factor
Find F
Given P
FIP

Present
Worth
Factor
Find P
Given F
PIF

1.080
1.166
1.260
1.360
1.469
1.587
1.714
1.851
1.999
2.159
2.332
2.518
2.720
2.937
3.172
3.426
3.700
3.996
4.316
4.661
5.034
5.437
5.871
6.341
6.848
7.396
7.988
8.627
9.317
10.063
10.868
11.737
12.676
13.690
14.785
21.725
31.920
46.902
68.914
101.257
148.780
218.607
321.205
471.956
693.458
1 018.9
1497.1
2 199.8

.9259
.8573
.7938
.7350
.6806
.6302
.5835
.5403
.5002
.4632
.4289
.3971
.3677
.3405
.3152
.2919
.2703
.2502
.2317
.2145
.1987
.1839
.1703
.1577
.1460
.1352
.1252
.1159
.1073
.0994
.0920
.0852
.0789
.0730
.0676
.0460
.0313
.0213
.0145
.00988
.00672
.00457
.00311
.00212
.00144
.00098
.00067
.00045

Sinking
Fund
Factor
Find A
Given F
AIF
1.0000
.4808
.3080
.2219
.1705
.1363.
.1121
.0940
.0801
.0690
.0601
.0527
.0465
.0413
.0368
.0330
.0296
.0267
.0241
.0219
.0198
.0180
.0164
.0150
.0137
..0125
.0114
.0105
.00962
.00883
.00811
.00745
.00685
.00630
.00580
.00386
.00259
.00174
.00118
.00080
.00054
.00037
.00025
.00017
.00012
.00008
.00005
.00004

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA
1.000
2.080
3.246
4.506
5.867
7.336
8.923
10.637
12.488
14.487
16.645
18.977
21.495
24.215
27.152
30.324
33.750
37.450
41.446
45.762
50.423
55.457
60.893
66.765.
73.106
79.954
87.351
95.339
103.966
113.283
123.346
134.214
145.951
158.627
172.317
259.057
386.506
573.771
848.925
1 253.2
1 847.3
2720.1
4 002.6
5887.0
8655.7
12 724.0
18 701.6
27 484.6

1.0800
.5608
.3880
.3019
.2505
.2163
.1921
.1740
.1601
.1490
.1401
.1327
.1265
.1213
.1168
.1130
.1096
.1067
.1041
.1019
.0998
.0980
.0964
.0950
.0937
.0925
.0914
.0905
.0896
.0888
.0881
.0875
.0869
.0863
.0858
.0839
.0826
.0817
.0812
.0808
.0805
.0804
.0802
.0802
.0801
.0801
.0801
.0800

--

-

ArithmeticGradient

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

0.926
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
9.122
9.372
9.604
9.818
10.017
10.201
10.371
10.529
10.675
10.810
10.935
11.051
11.158
11.258
11.350
11.435
11.514
11.587
11.655
11.925
12.108
12.233
12.319
12.377
12.416
12.443
12.461
12.474
12.482
12.488
12.492
12.494

0
0.481
0.949
1.404
1.846
2.276
2.694
3.099
3.491
3.871
4.240
4.596
4.940
5.273
5.594
5.905
6.204
6.492
6.770
7.037
7.294
7.541
7.779
8.007
8.225
8.435
8.636
8.829
9.013
9.190
9.358
9.520
9.674
9.821
9.961
10.570
11.045
11.411
11.690
11.902
12.060
12.178
12.266
12.330
12.377
12.412
12.437
12.455

0
0.857
2.445
4.650
7.372
10.523
14.024
17.806
21.808
25.977 .
30.266
34.634
39.046
43.472
47.886
52.264
56.588
60.843
65.013
69.090
73.063
76.926
80.673
84.300
87.804
91.184
94.439
97.569
100.574
103.456
106.216
108.858
111.382
113.792
116.092
126.042
133.733
139.593
144.006
147.300
149.739
151.533
152.845
153.800
154.492
154.993
155.352
155.611

- - --

-

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
31
32
33
34
35
40
45
50
55
60
65
70
75
80
85
90
IS

1"

-_.--------

r-

- ----- --

!j

I

ffi:
..'

TABLES 577
COMPOUNDINTEREST

I

I

";ir;
.
I

"I

9%

Compound Interest Factors

)

Single Payment

I

JIC
n'

,

I

Arithmetic Gradient

Uniform Payment Series

I

Compound
Amount
Factor
Find F
Given P

Present
Worth
Factor
Find P
Given F

Sinking
Fund
Factor
Find A
Given F

Capital
Recovery
Factor
Find A
Given P

Compound
Amount
Factor
Find F
Given A

Present
Worth
Factor
Find P
Given A

Gradient
Uniform
Series
Find A
Given G

Gradient
Present
Worth
Find P
Given G

FIP

PIF

AIF

AlP

FIA

PIA

AIG

1.000

0.917

0

PIG
0

2.090
3.278

1.759
2.531

0.478
0.943

0.842
2.386

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
8.544
8.756
8.950
9.129
9.292
9.442
9.580
9.707
9.823
9.929
10.027
10.116
10.198
10.274
10.343
10.406
10.464
10.518
10.567
10.757
10.881
10.962
11.014
11.048
11.070
11.084
11.094
11.100

1.393
1.828
2.250
2.657
3.051
3.431
3.798
4.151
4.491
4.818
5.133
5.435
5.724
6.002
6.269
6.524
6.767
7.001
7.223
7.436
7.638
7.832
8.016
8.191
8.357
8.515
8.666
8.808
8.944
9.072
9.193
9.308
9.796
10.160
10.430
10.626
10.768
10.870
10.943
10.994
11.030

4.511
7.111
10.092
13.375
16.888
20.571
24.373
28.248
32.159
36.073
39.963
43.807
47.585
51.282
54.886
58.387
61.777
65.051
68.205
71.236
74.143
76.927
79.586
82.124
84.542
86.842
g9.028
91.102
93.069
94.931
96.693
98.359
105.376
110.556
114.325
117.036
118.968
120.334
121.294
121.965
122.431

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
31
32
33
34
35
40
45
50
55
60
65
70
75
80

1.090

.9174

1.0000

1.0900

1.188
1.295
1.412

.8417
.7722

.4785
.3051

.5685
.3951

.7084
.6499
.5963
.5470
.5019
.4604
.4224
.3875
.3555
.3262
.2992
.2745
.2519
.2311
.2120
.1945
.1784
.1637
.1502
.1378
.1264
.1160
.1064
.0976
.0895
.0822
.0754
.0691
.0634
.0582
.0534
.0490
.0318
.0207
.0134
.00874
.00568
.00369
.00240
.00156
.00101

.2187
.1671
.1329
.1087
.0907
.0768
.0658
.0569
.0497
.0436
.0384
.0341
.0303
.0270
.0242
.0217
.0195
.0176
.0159
.0144
.0130
.0118
.0107
.00973
.00885
.00806
.00734
.00669
.00610
.00556
.00508
.00464
.00296
.00190
.00123
.00079
.00051
.00033
.00022
.00014
.00009

.3087
.2571
.2229.
.1987
.1807
.1668
.1558
.1469
.1397
.1336
.1284
.1241
.1203
.1170
.1142
.1117
.1095
.1076
.1059
.1044
.1030
.1018
.1007
.0997
.0989
.0981
.0973
.0967
.0961
.0956
.0951
.0946
.0930
.0919
.0912
.0908
.0905
.0903
.0902
.0901
.0901

1.539
1.677
1.828
1.993
2.172
2.367
2.580
2.813
3.066
3.342
3.642
3.970
4.328
4.717
5.142
5.604
6.109
6.659
7.258
7.911
8.623
9.399
10.245
11.167
12.172
13.268
14.462
15.763
17.182
18.728
20.414
31.409
48.327
74.358
114.409
176.032
270.847
416.731
641.193
986.555

4.573
5.985
7.523
9.200
11.028
13.021
15.193
17.560
20.141
22.953
26.019
29.361
33.003
36.974
41.301
46.019
51.160
56.765
62.873
69.532
76.790
84.701
93.324
102.723
112.968
124.136
136.308
149.575
164.037
179.801
196.983
215.711
337.883
525.860
815.085
1260.1
1 944.8
2 998.3
4619.2
7 113.3
10950.6

I

I

n

Ii

1
2
3

1517.9

.00066

.00006

.0901

16854.9

11.104

11.055

122.753

85

2 335.5

.00043
.00028
.00018

.00004
.00003
.00002

.0900
.0900
.0900

25939.3
39916.8
61422.9

11.106
11.108
11.109

11.073
11.085
11.093

122.976
123.129
123.233

90
95
100

3 593.5
5529.1

---

--

- --

r",

-::?:?{
:.,':/......:ff.
:,..;:0;-:;...-:__

I

>III

;'..:1

I

,I,

r

-

578

TABLES
COMPOUNDINTEREST

10%

1 0%

CompoundInterestFactors
Single Payment

n

Compound
Amount
Factor
Find F
Given P
FIP

Present
Worth
Factor
Find P
Given F
PIF

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
31
32
33
34
35
40
45
50
55
60
65
70
75
80
85
90
95
100

1.100
1.210
1.331
1.464
1.611
1.772
1.949
2.144
2.358
2.594
2.853
3.138
3.452
3.797
4.177
4.595
5.054
5.560
6.116
6.728
7.400
8.140
8.954
9.850
10.835
11.918
13.110
14.421
15.863
17.449
19.194
21.114
23.225
25.548
28.102
45.259
72.891
117.391
189.059
304.482
490.371
789.748
1 271.9
2 048.4
3 299.0
5313.0
8556.7
13 780.6

.9091
.8264
.7513
.6830
.6209
.5645
.5132
.4665
.4241
.3855
.3505
.3186
.2897
.2633
.2394
.2176
.1978
.1799
.1635
.1486
.1351
.1228
.1117
.1015
.0923
.0839
.0763
.0693
.0630
.0573
.0521
.0474
.0431
.0391
.0356
.0221
.0137
.00852
.00529
.00328
.00204
.00127
.00079
.00049
.00030
.00019
.00012
.00007

Arithmetic Gradient

Uniform Payment Series
Sinking
Fund
Factor
Find A
Given F
AIF
1.0000
.4762
.3021
.2155
.1638
.1296
.1054
.0874
.0736
.0627
.0540
.0468
.0408
.0357
.0315
.0278
.0247
.0219
.0195
.0175
.0156
.0140
.0126
.0113
.0102
.00916
.00826
.00745
.00673
.00608
.00550
.00497
.00450
.00407
.00369
.00226
.00139
.00086
.00053
.00033
.00020
.00013
.00008
.00005
.00003
.00002
.00001
.00001

Capital
Reovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

1.1000
.5762
.4021
.3155
.2638
.2296
.2054
.1874
.1736
.1627
.1540
.1468
.1408
.1357
.1315
.1278
.1247
.1219
.1195
.1175
.1156
.1140
.1126
.1113
.1102
.1092
.1083
.1075
.1067
.1061
.1055
.1050
.1045
.1041
.1037
.1023
.1014
.1009
.1005
.1003
.1002
.1001
.1001
.1000
.1000
.1000
.1000
.1000

1.000
2.100
3.310
4.641
6.105
7.716
9.487
11.436
13.579
15.937
18.531
21.384
24.523
27.975
31.772
35.950
40.545
45.599
51.159
57.275
64.003
71.403
79.543
88.497
98.347
109.182
121.100
134.210
148.631
164.494
181.944
201.138
222.252
245.477
271.025
442.593
718.905
1 163.9
1 880.6
3 034.8
4893.7
7 887.5
12709.0
20474.0
32979.7
53 120.3
85 556.9
137796.3

0.909
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
8.022
8.201
8.365
8.514
8.649
8.772
8.883
8.985
9.077
9.161
9.237
9.307
9.370
9.427
9.479
9.526
9.569
9.609
9.644
9.779
9.863
9.915
9.947
9.967
9.980
9.987
9.992
9.995
9.997
9.998
9.999
9.999

0
0.476
0.937
1.381
1.810
2.224
2.622
3.004
3.372
3.725
4.064
4.388
4.699
4.996
5.279
5.549
5.807
6.053
6.286
6.508
6.719
6.919
7.108
7.288
7.458
7.619
7.770
7.914
8.049
8.176
8.296
8.409
8.515
8.615
8.709
9.096
9.374
9.570
9.708
9.802
9.867
9.911
9.941
9.961
9.974
9.983
9.989
9.993

0
0.826
2.329
4.378
6.862
9.684
12.763
16.029
19.421
22.891 .
26.396
29.901
33.377
36.801
40.152
43.416
46.582
49.640
52.583
55.407
58.110
60.689
63.146
65.481
67.696
69.794
71.777
73.650
75.415
77.077
78.640
80.108
81.486
82.777
83.987
88.953
92.454
94.889
96.562
97.701
98.471
98.987
99.332
99.561
99.712
99.812
99.877
99.920

n
1
2
3
4
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
31
32
33
34
35
40
45
50
55
60
65
70
75
80
85
90
95
100

-

I
...J

--

-

------

-.----.-..--...-

-)
,

COMPOUND INTEREST
TABLES 579
2%

12%

CompoundInterestFactors
Arithmetic Gradient

Uniform Payment Series

Single Payment

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

1.000
2.120
3.374
4.779
6.353
8.115
10.089
12.300
14.776
17.549
20.655
24.133
28.029
32.393
37.280
42.753
48.884
55.750
63.440
72.052
81.699
92.503
104.603
118.155
133.334
150.334
169.374
190.699

214.583-

0.893
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
7.120
7.250
7.366
7.469
7.562
7.645
7.718
7.784
7.843
7.896
7.943
7.984
8.022

0
0.472
0.925
1.359
1.775
2.172
2.551
2.913
3.257
3.585
3.895
4.190
4.468
4.732
4.980
5.215
5.435
5.643
5.838
6.020
6.191
6.351
6.501
6.641
6.771
6.892
7.005
7.110

0
0.797
2.221
4.127
6.397
8.930
11.644
14.471
17.356
20.254
23.129
25.952
28.702
31.362
33.920
36.367
38.697
40.908
42.998
44.968
46.819
48.554
50.178
51.693
53.105
54.418
55.637
56.767

12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28

.1241

241.333

8.055

57.814
58.782

29
30

.00369
.00328
.00292
.00260
.00232

.1237
.1233
.1229
.1226
.1223

271.293
304.848
342.429
384.521
431.663

8.085
8.112
8.135
8.157
8.176

7.207
7.297
7.381
. 7.459
7.530
7.596
7.658

59.676
60.501
61.261
61.961
62.605

31
32
33
34
35

.0107
.00610
.00346
.00196
.00111

.00130
.00074
.00042
.00024
.00013

767.091
1 358.2
2 400.0
4 236.0
7471.6

8.244
8.283
8.304
8.317
8.324

7.899
8.057
8.160
8.225
8.266

65.116

1 581.9
2 787.8
4913.1
8 658.5
15 259.2

.00063
.00036
.00020
.00012
.00007

.00008
.00004
.00002
.00001
.00001

.1213
.1207
.1204
.1202
.1201
.1201
.1200
.1200
.1200
.1200

13 173.9
23223.3
40 933.8
72 145.7
127 151.7

8.328
8.330
8.332
8.332
8.333

8.292
8.308
8.318
8.324
8.328

69.058
69.210
69.303
69.359
69.393

40
45
50
55
60
65
70
75
80
85

26891.9
47 392.8
83 522.3

.00004
.00002
.00001

.1200
.1200
.1200

224 091.1
394 931.4
696010.5

8.333
8.333
8.333

8.330
8.331
8.332

69.414
69.426
69.434

90
95
100

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

1.120
1.254
1.405
1.574
1.762
1.974
2.211
2.476
2.773
3.106
3.479
3.896
4.363
4.887
5.474
6.130
6.866
7.690
8.613
9.646
10.804
12.100
13.552
15.179
17.000
19.040
21.325
23.884
26.750

.8929
.7972
.7118
.6355
.5674
.5066
.4523
.4039
.3606
.3220
.2875
.2567
.2292
.2046
.1827
.1631
.1456
.1300
.1161
.1037
.0926
.0826
.0738
.0659
.0588
.0525
.0469
.0419
.0374

1.0000
.4717
.2963
.2092
.1574
.1232
.0991
.0813
.0677
.0570
.0484
.0414
.0357
.0309
.0268
.0234
.0205
.0179
.0158
.0139
.0122
.0108
.00956
.00846
.00750
.00665
.00590
.00524
.00466

1.1200
.5917
.4163
.3292
.2774
.2432
.2191
.2013
.1877
.1770
.1684
.1614
.1557
.1509
.1468
.1434
.1405
.1379
.1358
.1339
.1322
.1308
.1296
.1285
.1275
.1267
.1259
.1252
.1247

29.960

.0334

.00414

33.555
37.582
42.092
47.143
52.800

.0298
.0266
.0238
.0212
.0189

93.051
163.988
289.002
509.321
897.597

Compound
Amount
Factor
Find F
Given P
FIP

Compound
Amount
Factor
Find F
Given A
FIA

----

.

.

66.734
67.762
68.408
68.810

L

n
1
2
3
4
5
6
7
8
9
10

n

I

-580

COMPOUND INTEREST
TABLES

15%
Single Payment

n
1
2
3
4
5
6
7
8
1u
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
..:JV

31
32
33
34
35
40
45
50
55
60
65
70
75
80
85

15%

CompoundInterestFactors

Compound
Amount
Factor
Find F
Given P
FIP
1.150
1.322
1.521
1.749
2.011
2.313
2.660
3.059
3.518
4.046
4.652
5.350
6.153
7.076
8.137
9.358
10.761
12.375
14.232
16.367
18.822
21.645
24.891
28.625
32.919
37.857
43.535
50.066
57.575
66.212

76.144
87.565
100.700
115.805
133.176
267.864
538.769
1 083.7
2179.6
4 384.0
8817.8
17735.7
35 672.9
71 750.9
144316.7

Arithmetic Gradient

Uniform Payment Series

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

n

.8696
.7561
.6575
.5718
.4972
.4323
.3759
.3269
.2843
.2472
.2149
.1869
.1625
.1413
.1229
.1069
.0929
.0808
.0703
.0611
.0531
.0462
.0402
.0349
.0304
.0264
.0230
.0200
.0174
.0151
.0131
.0114
.00993
.00864
.00751
.00373
.00186
.00092
.00046
.00023
.00011
.00006
.00003
.00001
.00001

1.0000
.4651
.2880
.2003
.1483
.1142
.0904
.0729
.0596
.0493
.0411
.0345
.0291
.0247
.0210
.0179
.0154
.0132
.0113
.00976
.00842
.00727
.00628
.00543
.00470
.00407
.00353
.00306
.00265
.00230
.00200
.00173
.00150
.00131
.00113
.00056
.00028
.00014
.00007
.00003
.00002
.00001

1.1500
.6151
.4380
.3503
.2983
.2642
.2404
.2229
.2096
.1993
.1911
.1845
.1791
.1747
.1710
.1679
.1654
.1632
.1613
.1598
.1584
.1573
.1563
.1554
.1547
.1541
.1535
.1531
.1527
.1523
.1520
.1517
.1515
.1513
.1511
.1506
.1503
.1501
.1501
.1500
.1500
.1500
.1500
.1500
.1500

1.000
2.150
3.472
4.993
6.742
8.754
11.067
13.727
16.786
20.304
24.349
29.002
34.352
40.505
47.580
55.717
65.075
75.836
88.212
102.444
118.810
137.632
159.276
184.168
212.793
245.712
283.569
327.104
377.170
434.745
500.957
577.100
664.666
765.365
881.170
1 779.1
3585.1
7217.7
14524.1
29 220.0
58 778.6
118231.5
237812.5
478 332.6
962 104.4

0.870
1.626
2.283
2.855
3.352
3.784
4.160
4.487
4.772
5.019
5.234
5.421
5.583
5.724
5.847
5.954
6.047
6.128
6.198
6.259
6.312
6.359
6.399
6.434
6.464
6.491
6.514
6.534
6.551
6.566
6.579
6.591
6.600
6.609
6.617
6.642
6.654
6.661
6.664
6.665
6.666
6.666
6.666
6.667
6.667

0
0.465
0.907
1.326
1.723
2.097
2.450
2.781
3.092
3.383
3.655
3.908
4.144
4.362
4.565
4.752
4.925
5.084
5.231
5.365
5.488
5.601
5.704 ,
5.798
5.883
5.961
6.032
6.096
6.154
6.207
6.254
6.297
6.336
6.371 .
6.402
6.517
6.583
6.620
6.641
6.653
6.659
6.663
6.665
6.666
6.666

0
0.756
2.071
3.786
5.775
7.937
10.192
12.481
14.755
16.979
19.129
21.185
23.135
24.972
26.693
28.296
29.783
31.156
32.421
33.582
34.645
35.615
36.499
37.302
38.031
38.692
39.289
39.828
40.315
40.753
41.147
41.501
41.818
42.103
42.359
43.283
43.805
44.096
44.256
44.343
44.390
44.416
44.429
44.436
44.440

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
31
32
33
34
35
40
45
50
55
60
65
70
75
80
85

-

---

TABLES 581
COMPOUNDINTEREST
8%

Compound
Amount
Factor
Find F
Given P
FIP

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

;::

n

.8475

1.0000

1.1800

1.000

0.847

0

0

1

.7182
.6086
.5158
.4371

.4587
.2799
.1917
.1398

.6387
.4599
.3717
.3198

2.180
3.572
5.215
7.154

1.566
2.174
2.690
3.127

0.459
0.890
1.295
1.673

0.718
1.935
3.483
5.231

2
3
4
5

2.700

.3704
.3139
.2660
.2255
.1911

.1059
.0824
.0652
.0524
.0425

.2859
.2624
.2452
.2324
.2225

9.442
12.142
15.327
19.086
23.521

3.498
3.812
4.078
4.303
4.494

2.025
2.353
2.656
2.936
3.194

7.083
8.967
10.829
12.633
14.352

6
7
'8
9
10

.1619
.1372
.1163
.0985

.0348
.0286
.0237
.0197

.2148
.2086
.2037
.1997

28.755
34.931
42.219
50.818

4.656
4.793
4.910
5.008

3.430
3.647
3.845
4.025

15.972
17.481
18.877
20.158

11
12
13
14

11.974

.0835

.0164

.1964

60.965

5.092

4.189

21.327

15

14.129
16.672
19.673
23.214
27.393

.0708
.0600
.0508
.0431
.0365

.0137
.0115
.00964
.00810
.00682

.1937
.1915
.1896
.1881
.1868

72.939
87.068
103.740
123.413
146.628

5.162
5.222
5.273
5.316
5.353

4.337
4.471
4.592
4.700
4.798

22.389
23.348
24.212
24.988
25.681

16
17
18
19
20

32.324
38.142
45.008
53.109
62.669
73.949
87.260
102.966
.121.500
143.370

.0309
.0262
.0222
.0188
.0160
.0135
.0115
.00971
.00823
.00697

.00575
.00485
.00409
.00345
.00292
.00247
.00209
.00177
.00149
.00126

.1857
.1848
.1841
.1835
.1829
.1825
.1821
.1818
.1815
.1813

174.021
206.345
244.487
289.494
342.603
405.272
479.221
566.480
669.447
790.947

5.384
5.410
5.432
5.451
5.467
5.480
5.492
5.502
5.510

4.885
4.963
5.033
5.095
5.150
5.199
5.243
5.281
5.315

26.300
26.851
27.339
27.772
28.155
28.49"'4
28.791
29.054
29.284

21
22
23
24
25
26
27
28
29

5.517 .

5.345

29.486

169.177
199.629

.00591
.00501

.00107
.00091

.1811
.1809

5.523
5.528

29.664
29.819

30
31
32

.00425
.00360
.00305
.00133
.00058
.00025
.00011
.00005
.00002
.00001

.00077
.00065
.00055
.00024
.00010
.00005
.00002
.00001

.1808
.1806
.1806
.1802
.1801
.1800
.1800
.1800
.1800
.1800

5.371
5.394
5.415

29.955
30.074
30.177
30.527
30.701
30.786
30.827
30.846
30.856
30.860

33
34
j5
40
45
50
55
60
65
70

235.562
277.963
327.997
750.377
1 716.7
3 927.3
8 984.8
20555.1
47025.1
107581.9

934.317
1 103.5

1303.1
1538.7
1 816.6
4 163.2
9 531.6
21813.0
49910.1
114 189.4
261 244.7
597 671.7

L' IT

5.536
5.539
5.548
5.552
5.554:
5.555
5.555
5.555
5.556

5.433
5.449
5.502
5.529
5.543
5.549
5.553
5.554
5.555
".- ....

.f,:

8::".

1.180

5.234
6.176
7.288
8.599
10.147

1

I

1.392
1.643
1.939
2.288
3.185
3.759
4.435

:i.Ii

Arithmetic Gradient

Uniform Payment Series

Single Payment

If

18%

CompoundInterestFactors

I
.

Ii

,.L'lI,
I'

'II

.

"

11111

I

]11,1,

t

;Iilll

'II,

.. °1'11
,
. j
, .d!
;:;i

. "ii'I

582

TABLES
COMPOUNDINTEREST

200/0

200/0

CompoundInterestFactors
Single Payment

Arithmetic Gradient

Uniform Payment Series

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

n

0.833
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
4.775
4.812
4.843
4.870
4.891
4.909
4.925
4.937
4.948
4.956

0
0.455
0.879
1.274
1.641
1.979
2.290
2.576
2.836
3.074
3.289
3.484
3.660
3.817
3.959
4.085
4.198
4.Z98
4.386
4.464
4.533
4.594
4.647
4.694
4.735
4.771

0
0.694
1.852
3.299
4.906
6.581
8.255
9.883
11.434
12.887.
14.233
15.467
16.588
17.601
18.509
19.321
20.042
20.680
21.244
21.739
22.174
22.555
22.887
23.176
23.428

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

23.646
23.835
23.999
24.141
24.263

26
27
28
29
30

24.368
24.459
24.537
24.604
24.661
24.847
24.932
24.970
24.987
24.994

31
32
33
34
35

n

Compound
Amount
Factor
Find F
Given P
FIP

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

1.200
1.440
1.728
2.074
2.488
2.986
3.583
4.300
5.160
6.192
7.430
8.916
10.699
12.839
15.407
18.488
22.186
26.623
31.948
38.338
46.005
55.206
66.247
79.497
95.396
114.475

.8333
.6944
.5787
.4823
.4019
.3349
.2791
.2326
.1938
.1615
.1346
.1122
.0935
.0779
.0649
.0541
.0451
.0376
.0313
.0261
.0217
.0181
.0151
.0126
.0105
.00874

1.0000
.4545
.2747
.1863
.1344
.1007
.0774
.0606
.0481
.0385
.0311
.0253
.0206
.0169
.0139
.0114
.00944
.00781
.00646
.00536
.00444
.00369
.00307
.00255
.00212
.00176

1.2000
.6545
.4747
.3863
.3344
.3007
.2774
.2606
.2481
.2385
.2311
.2253
.2206
.2169
.2139
.2114
.2094
.2078
.2065
.2054
.2044
.2037
.2031
.2025
.2021
.2018

27
28
29
30

137.371
164.845
197.814
237.376

.00728
.00607
.00506
.00421

.2015
.2012
.2010
.2008

681.853
819.223
984.068
1 181.9

4.964
4.970
4.975
4.979.

31
32
33
34
35

284.852
341.822
410.186
492.224
590.668

.00351
.00293
.00244
.00203
.00169
.00068
.00027
.00011
.00004
.00002

.00147
.00122
.00102
.00085
.00070
.00059
.00049
.00041
.00034

.2007
.2006
.2005
.2004
.2003

1 419.3
1 704.1
2045.9
2 456.1
2 948.3

4.982
4.985
4.988
4.990
4.992

4.802
4.829
4.853
4.873
4.891
4.906
4.919
4.931
4.941

.2001
.2001
.2000
.2000
.2000

7343.9
18281.3
45 497.2
113219.0
281 732.6

4.997
4.999
4.999
5.000
5.000

4.973
4.988
4.995
4.998
4.999

40
45
50
55
60

1 469.8
3 657.3
9 100.4
22 644.8
56347.5

.00014
.00005
.00002
.00001

Compound
Amount
Factor
Find F
Given A
FIA
1.000
2.200
3.640
5.368
7.442
9.930
12.916
16.499
20.799
25.959
32.150
39.581
48.497
59.196
72.035
87.442
105.931
128.117
154.740
186.688
225.026
271.031
326.237
392.484
471.981
567.377

--

- -

.

40
45
50
55
60

'J
'.,"
"
,',
"
',f
'"!.
"/

COMPOUND

INTERESTTABLES

583

I
I

5%

25

Compound Interest Factors
Single Payment
Compound
Amount
Factor
Find F
Given P
FIP
1.250
1.563
1.953
2.441
3.052

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

.8000
.6400
.5120
.4096
.3277

1.0000
.4444
.2623
.1734
.1218

1.2500
.6944
.5123
.4234
.3718

.2621
.2097
.1678
.1342
.1074

.3388
.3163
.3004
.2888
.2801

%

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

0.800
1.440
1.952
2.362
2.689

0
0.444
0.852
1.225
1.563

0
0.640
1.664
2.893
4.204

1
2
3
4
5

11.259
15.073
19.842
25.802
33.253

2.951
3.161
3.329
3.463
3.571

1.868
2.142
2.387
2.605
2.797

5.514
6.773
7.947
9.021
9.987

6
7
8
9
10

42.566
54.208
68.760
86.949
109.687

3.656
3.725
3.780
3.824
3.859

2.966
3.115
3.244
3.356
3.453

10.846
11.602
12.262
12.833
13.326

11
12
13
14
15

138.109
173.636
218.045
273.556
342.945

3.887
3.910
3.928
3.942
3.954

13.748
14.108
14.415
14.674
14.893

3.963
3.970
3.976
3.981
3.985

3.537
3.608
3.670
3.722
3.767
3.805
3.836
3.863
3.886
3.905

.15.078
15.233
15.362
15.471
15.562

16
17
18
19
20.
21
22
23
24
25

3.992

3.921
3.935
3.946

15.637
15.700
15.752

26
27
28

Compound
Amount
Factor
Find F
Given A
FIA
1.000
2.250
3.813
5.766
8.207

Gradient
Present
Worth
Find P
Given G
PIG

1,1
n

3.815
4.768
5.960
7.451
9.313
11.642
14.552
18.190
22.737
28.422

.0859
.0687
.0550
.0440
.0352

.0888
.0663
.0504
.0388
.0301
.0235
.0184
.0145
.0115
.00912

35.527
44.409
55.511
69.389
86.736

.0281
.0225
.0180
.0144
.0115

.00724
.00576
.00459
.00366
.00292

.2735
.2684
.2645
.2615
.2591
.2572
.2558
.2546
.2537
.2529

108.420
135.525
169.407
211.758
264.698

.00922
.00738
.00590
.00472
.00378

.00233
.00186
.00148
.00119
.00095

.2523
.2519
.2515
.2512
.2509

429.681
538.101
673.626
843.033
1 054.8

330.872
413.590
516.988

.00302
.00242
.00193

.00076
.00061
.00048

.2508
.2506
.2505

1 319.5
1 650.4
2 064.0

646.235
807.794.

.00155
.00124

.00039
.00031

.2504
.2503

2 580.9
3 227.2

3.994
3.995

3.955
3.963

15.796
15.832

29
.30

.00099

.00025

.2502

4035.0

3.996

3.969

15.861

31

1 009.7

t:

Arithmetic Gradient

Uniform Payment Series

Present
Worth
Factor
Find P
Given F
PIF

.i

:l'

3.988
.

3.990

1 262.2

.00079

.00020

.2502

5044.7

3.997

3.975

15.886

32

1577.7
1 972.2
2 465.2

.00063
.00051
.00041

.00016
.00013
.00010

.2502
.2501
.2501

6 306.9
7 884.6
9 856.8

3.997
3.998
3.998

3.979
3.983
3.986

15.906
15.923
15.937

33
34
35

7 523.2
22 958.9
70 064.9
213 821.2

.00013
.00004
.00001

.00003
.00001

.2500
.2500
.2500
.2500

30088.7
91 831.5
280255.7
855 280.7

3.999
4.000
4.000
4.000

3.995
3.998
3.999
4.000

15.977
15.991
15.997
15.999

40
45
50
55

,'.11
J'I

' ,II
I ;,
Iii

i

r

'I
j

:i

r

" "p

I

, ., I

,.

',..

Ii
" ,
I I
I
I
).1

....
584

COMPOUND INTEREST
TABLES

300/0
Single Payment

n
1
2
3
4
5
6

300/0

CompoundInterest Factors

Compound
Amount
Factor
Find F
Given P
FIP
1.300
1.690
2.197
2.856
3.713
4.827

Arithmetic Gradient

Uniform Payment Series

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

.7692
.5917
.4552
.3501
.2693
.2072

1.0000
.4348
.2506
.1616
.1106
.0784

1.3000
.7348
.5506
.4616
.4106

Compound
Amount
Factor
Find F
Given A
FIA
1.000
2.300
3.990
6.187
9.043

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

n

0.769
1.361
1.816
2.166
2.436

0
0.435
0.827
1.178
1.490

0
0.592
1.502
2.552
3.630

1
2
3
4
5

7
8
9
10

6.275
8.157
10.604
13.786

.1594
.1226
.0943
.0725

.0569
.0419
.0312
.0235

.3784
.3569
.3419
.3312
.3235

12.756
17.583
23.858
32.015
42.619

2.643
2.802
2.925
3.019
3.092

1.765
2.006
2.216
2.396
2.551

4.666
5.622
6.480
.7.234
7.887

11
12
13
14
15

17.922
23.298
30.287
39.374
51.186
66.542
86.504
112.455
146.192
190.049

.0558
.0429
.0330
.0254
.0195

.0177
.0135
.0102
.00782
.00598

.3177
.3135
.3102
.3078
.3060

56.405
74.327
97.625
127.912
167.286

3.147
3.190
3.223
3.249
3.268

2.683
2.795
2.889
2.969
3.034

8.445
8.917
9.314
9.644
9.917

6
7
8
9
-10
11
12
13
14
15

.0150
.0116
.00889
.00684
.00526

.00458
.00351
.00269
.00207
.00159

218.472
285.014
371.518
483.973
630.165

3.283
3.295
3.304
3.311
3.316

3.089
3.135
3.172
3.202
3.228

10.143
10.328
10.479
10.602
10.702

16
17
18
19
20

820.214
1 067.3
1 388.5
1 806.0
2 348.8

3.320
3.323
3.325
3.327
3.329
3.330
3.331
3.331
3.332
3.332

3.248
3.265
3.278
3.289
3.298

10.783
10.848 .
10.901
10.943
10.977

21
22
23
24
25

3.305
3.311
3.315
3.319
3.322

11.005
11.026
11.044
11.058
11.069

26
27
28
29
30

3.324
3.326
3.328
3.329
3.330

11.078
11.085
11.090
11.094
11.098

31
32
33
34
35

3.332
3.333

11.107
11.110

40
45

16
17
18
19
20

.

21
22
23
24
25
26
27
28
2Y
30

247.064
321.184
417.539
542.800
705.640

.00405
.00311
.00239
.00184
.00142

.00122
.00094
.00072
.00055
.00043

.3046
.3035
.3027
.3021
.3016
.3012
.3009
.3007
.3006
.3004

917.332
1 192.5
1 550.3
2 015.4
2 620.0

.00033
.00025
.00019
.00015
.00011

.3003
.3003
.3002
.3001
.3001

5 164.3
6714.6
8 730.0

31
32
33
34
35

3 406.0
4427.8
5756.1
7 483.0
9 727.8

.00109
.00084
.00065
.00050
. .00038
.00029
.00023
.00017
.00013
.00010

.00009
.00007
.00005
.00004
.00003

.300 1
.3001
.3001
.3000
.3000

11 350.0
14756.0
19 183.7
24939.9
32 422.8

40
45

36 118.8
134 106.5

.00003
.00001

.00001

.3000
.3000

3 054.4

3 971.8 .

120392.6
447018.3

3.332
3.333
3.333
3.333
3.333
3.333
3.333

'".

-

--

- ._----------

'.

1!
ifJ
I

COMPOUND INTERESTTABLES
5%

35 %

CompoundInterestFactors
Compound
Amount
Factor
Find F
Given P
FIP
1.350
1.822
2.460
3.322
4.484
6.053
8.172
11.032
14.894
20.107
27.144
36.644
49.470
66.784
90.158
121.714
164.314
221.824
299.462
404.274
545.769
736.789
994.665
1 342.8
1 812.8
2447.2
3 303.8
4460.1
021.1

" 128.5

10 973.5
14 814.3
19 999.3
26 999.0
36448.7

Arithmetic Gradient

Uniform Payment Series

Single Payment

585

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

n

.7407
.5487
.4064
.3011
.2230
.1652
.1224
.0906
.0671
.0497
.0368
.0273
.0202
.0150
.0111
.00822
.00609
.00451
.00334
.00247
.00183
.00136
.00101
.00074
.00055
.00041
.00030
.00022
.00017

1.0000
.4255
.2397
.1508
.1005
.0693
.0488
.0349
.0252
.0183
.0134
.00982
.00722
.00532
.00393
.00290
.00214
.00158
.00117
.00087
.00064
.00048
.00035
.00026
.00019
.00014
.00011
.00008
.00006

1.3500
.7755
.5897
.5008
.4505
.4193.3988
.3849
.3752
.3683
.3634
.3598
.3572
.3553
.3539
.3529
.3521
.3516
.3512
.3509
.3506
.3505
.3504
.3503
.3502
.3501
.3501
.3501
.3501

1.000
2.350
4.173
6.633
9.954
14.438
20.492
28.664
39.696
54.590
74.697
101.841
138.485
187.954
254.739
344.897
466.611
630.925
852.748
1 152.2
1 556.5
2 102.3
2839.0
3 833.7
5176.5
6989.3
9 436.5
12740.3
17200.4

0.741
1.289
1.696
1.997
2.220
2.385
2.508
2.598
2.665
2.715
2.752
2.779
2.799
2.814
2.825
2.834
2.840
2.844
2.848
2.850
2.852
2.853
2.854
2.855
2.856
2.856
2.856
2.857
2.857

0
0.426
0.803
1.134
1.422
1.670
1.881
2.060
2.209
2.334
2.436
2.520
2.589
2.644
2.689
2.725
2.753
2.776
2.793
2.808
2.819
2.827
2.834
2.839
2.843
2.847
2.849
2.851
2.852

0
0.549
1.362
2.265
3.157
3.983
4.717
5.352
5.889
6.336
6.705
7.005
7.247
7.442
7.597
7.721
7.818
7.895
7.955
8.002
8.038
8.067
8.089
8.106
8.119
8.130
8.137
8.143
8.148

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

.00012

.00004

2.857
2.857
2.857
2.857
2.857
2.857

2.853

8.152

30.

.00003
.00002
.00002
.00001
.00001

.3500
.3500
.3500
.3500
.3500
.3500

23 221.6

.00009
.00007
.00005
.00004
.00003

2.854
2.855
2.855
2.856
2.856

8.154
8.157
8.158
8.159
8.160

31
32
33
34
35

31 350.1
42323.7
57137.9
77 137.2
104 136.3

-

---

--

-

I

I>li

jiii'

-

-

---

TABLES 587
COMPOUNDINTEREST

450/0
SinglePayment

n
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
ZO
U
!2
!3
!4
6
7
!8
!9
10
11
12
i3
4
.5

450/0

CompoundInterestFactors
UniformPaymentSeries

-

ArithmeticGradient

Compound
Amount
Factor
Find F
Given P
FIP

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

1.450
2.103
3.049
4.421
6.410
9.294
13.476
19.541
28.334
41.085
59.573
86.381
125.252
181.615
263.342
381.846
553.677
802.831
1164.1
1 688.0
2447.5
3 548.9
5 145.9
7461.6
10 819.3
15 688.0
22747.7
32 984.1
47 826.9
69349.1
100556.1
145806.4
211 419.3
306 558.0
444 509.2

.6897
.4756
.3280
.2262
.1560
.1076
.0742
.0512
.0353
.0243
.0168
.0116
.00798
.00551
.00380
.00262
.00181
.00125
.00086
.00059
.00041
.00028
.00019
.00013
.00009
.00006
.00004
.00003
.00002
.00001
.00001
.00001

1.0000
.4082
.2197
.1316
.0832
.0543
.0361
.0243
.0165
.0112
.00768
.00527
.00362
.00249
.00172
.00118
.00081
.00056
.00039
.00027
.00018
.00013
.00009
.00006
.00004
.00003
.00002
.00001
.00001
.00001

1.4500
.8582
.6697
.5816
.5332
:5043
.4861
.4743
.4665
.4612
.4577
.4553
.4536
.4525
.4517
.4512
.4508
.4506
.4504
.4503
.4502
.4501
.4501
.4501
.4500
.4500
.4500
.4500
.45QO
.4500
.4500
.4500
.4500
.4500
.4500

1.000
2.450
4.553
7.601
12.022
18.431
27.725
41.202
60.743
89.077
130.162
189.735
276.115
401.367
582.982
846.325
1 28.2
1 781.8
2584.7
3748.8
5 436;7
7 884.3
11433.2
16579.1
24040.7
34 860.1
50548.1
73 295.8
106279.9
154 106.8
223 455.9
324 012.0
469818.5
681237.8
987 795.9

0.690
1.165
1.493
1.720
1.876
1.983
2.057
2.109
2.144
2.168
2.185
2.196
2.204
2.210
2.214
2.216
2.218
2.219
2.220
2.221
2.221
2.222
2.222
2.222
2.222
2.222
2.222
2.222
2.222
2.222
2.222
2.222
2.222
2.222
2.222

0
0.408
0.758
1.053
1.298
1.499
1.661
1.791
1.893
1.973
2.034
2.082
2.118
2.145
2.165
2.180
2.191
2.200
2.206
2.210
2.214
2.216
2.218
2.219
2.220
2.221
2.221
2.221
2.222
2.222
2.222
2.222
2.222
2.222
2.222

0
0.476
1.132
1.810
2.434
2.972
3.418
3.776
4.058
4.277
4.445
4.572
4.668
4.740
4.793
4.832
4.861
4.882
4.898
4.909
4.917
4.923
4.927
4.930
4.933
4.934
4.935
4.936
4.937
4.937
4.938
4.938
4.938
4.938
4.938

n
1
2
3
4
5
6
7
8
9
10
11
12
13
14
.

t1

".f;'
.:,

15
16
17
18
19
20

I

,'I

III
24
25
26
27
28
29
30
31
32
33
34
35

.I

i:
I'

I

I
'

I
'

, 'I
I
;I'
"
'"

-.---

--

----

588

COMPOUND INTEREST
TABLES

50%
Single Payment
Compound
Amount
Factor
Find F
Given P
FIP

n
1
2
3
4
5
6
7
8
lu
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
3u
31
32

50%

CompoundInterestFactors

1.500
2.250
3.375
5.063
7.594
11.391
17.086
25.629
38.443
57.665
86.498
129.746
194.620
291.929
437.894
656.814
985.261
1 477.9
2216.8
3 325.3
4987.9
7481.8
11 222.7
16834.1
25 251.2
.

37876.8

56815.1
85 222.7
127834.0
191751.1
287 626.6
431439.9

Arithmetic Gradient

Uniform Payment Series

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

n

.6667
.4444
.2963
.1975
.1317
.0878
.0585
.0390
.0260
.0173
.0116
.00771
.00514
.00343
.00228
.00152
.00101
.00068
.00045
.00030
.00020
.00013
.00009
.00006
.00004
.00003
.00002
.00001
.00001
.00001

1.0000
.4000
.2105
.1231
.0758
.0481
.0311
.0203
.0134
.00882
.00585
.00388
.00258
.00172
.00114
.00076
.00051
.00034
.00023
.00015
.00010
.00007
.00004
.00003
.00002
.00001
.00001
.00001

1.5000
.9000
.7105
.6231
.5758
.5481
.5311
.5203
.5134
.5088
.5058
.5039
.5026
.5017
.5011
.5008
.5005
.5003
.5002
.5002
.5001
.5001
.5000
.5000
.5000
.5000
.5000
.5000
.5000
.5000
.5000
.5000

1.000
2.500
4.750
8.125
13.188
20.781
32.172
49.258
74.887
113.330
170.995
257.493
387.239
581.859
873.788
1 311.7
1968.5
2 953.8
4431.7
6648.5
9 973.8
14961.7
22 443.5
33 666.2
50 500.3
75751.5
113628.3
170443.4
255666.1
383500.1
575251.2
862877.8

0.667
1.111
1.407
1.605
1.737
1.824
1.883
1.922
1.948
1.965
1.977
1.985
1.990
1.993
1.995
1.997
1.998
1.999
1.999
1.999
2.000
2.000
2.000
2.000
2.000
2.000
2.000
2.000
2.000
2.000
2.000
2.000

0
0.400
0.737
1.015
1.242
1.423
1.565
1.675
1.760
1.824
1.871
1.907
1.933
1.952
1.966
1.976
1.983
1.988
1.991
1.994
1.996
1.997
1.998
1.999
1.999
1.999
2.000
2.000
2.000
2.000
2.000
2.000

0
0.444
1.037
1.630
2.156
2.595
2.947
3.220
3.428
3.584
3.699
3.784
3.846
3.890
3.922
3.945
3.961
3.973
3.981
3.987
3.991
3.994
3.996
3.997
3.998
3.999
3.999
3.999
4.000
4.000
4.000
4.000

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
31
32

- ---

-

TABLES 589
COMPOUNDINTEREST
0%

60%

CompoundInterestFactors
Single Payment

Arithmetic Gradient

Uniform Payment Series

Compound
Amount
Factor
Find F
Given P
FIP

Present
Worth
Factor
Find P
Given F
PIF

Sinking
Fund
Factor
Find A
Given F
AIF

Capital
Recovery
Factor
Find A
Given P
AlP

Compound
Amount
Factor
Find F
Given A
FIA

Present
Worth
Factor
Find P
Given A
PIA

Gradient
Uniform
Series
Find A
Given G
AIG

Gradient
Present
Worth
Find P
Given G
PIG

1.600
2.560
4.096
6.554
10.486
16.777
26.844
42.950
68.719
109.951
175.922
281.475
450.360
720.576
1152.9
1 844.7
2951.5
4 722.4
7 555.8
12089.3
19342.8
30 948.5
49517.6
79 228.1
126765.0
202 824.0
324 518.4
519229.5

.6250
.3906
.2441
.1526
.0954
.0596
.0373
.0233
.0146
.00909
.00568
.00355
.00222
.00139
.00087
.00054
.00034
.00021
.00013
.00008
.00005
.00003
.00002
.00001
.00001

1.0000
.3846
.1938
.1080
.0633
.0380
.0232
.0143
.00886
.00551
.00343
.00214
.00134
.00083
.00052
.00033
.00020
.00013
.00008
.00005
.00003
.00002
.00001
.00001

1.6000
.9846
.7938
.7080
.6633
.6380
.6232
.6143
.6089
.6055
.6034
.6021
.6013
.6008
.6005
.6003
.6002
.6001
.6011
.6000
.6000
.6000
.6000
.6000
.6000
.6000
.6000
.6000

1.000
2.600
5.160
9.256
15.810
26.295
43.073
69.916
112.866
181.585
291.536
467.458
748.933
1 199.3
1 919.9
3 072.8
4917.5
7 868.9
12591.3
20 147.1
32 236.3
51 579.2
82 527.6
132045.2
211 273.4
338 038.4
540 862.4
865 380.9

0.625
1.016
1.260
1.412
1.508
1.567
1.605
1.628
1.642
1.652
1.657
1.661
1.663
1.664
1.665
1.666
1.666
1.666
1.666
1.667
1.667
1.667
1.667
1.667
1.667
1.667
1.667
1.667

0
0.385
0.698
0.946
1.140
1.286
1.396
1.476
1.534
1.575
1.604
1.624
1.638
1.647
1.654
1.658
1.661
1.663
1.664
1.665
1.666
1.666
1.666
1.666
1.666
1.667
1.667
1.667

0
0.391
0.879
1.337
1.718
2.016
2.240
2.403
2.519
2.601
2.658
2.697
2.724
2.742
2.754
2.762
2.767
2.771
2.773
2.775
2.776
2.777
2.777
2.777
2.777
2.778
2.778
2.778

--

-_._-

-

-

-

n
1
2
3
4
5
6

"1

8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28

590

COMPOUND INTERESTTABLES
Continuous Compounding-Single Payment Factors

"",.
'
-,\-

1

rn

Compound
Amount
Factor
ern
Find F
Given P
FfP

Present
Worth
Factor
e-rn
Find P
Given F
PfF

.01
.02
.03
.04
.05
.06
.07
.08
.09
.10
11
.12
.13
.14
.15
.16
.17
.18
.19
.20
.21
.22
3
.24
.25
.26
.27
.28
.29
.30
.31
32
.33

1.0101
1.0202
1.0305
1.0408
1.0513
1.0618
1.0725
1.0833
1.0942
1.1052
1.1163
1.1275
1.1388
1.1503
1.1618
1.1735
1.1853
1.1972
1.2092
1.2214
1.2337
1.2461
1.2586
1.2712
1.2840
1.2969
1.3100
1.3231
1.3364
1.3499
1.3634
1.3771
1.3910

.9900
.9802
.9704
.9608
.9512
.9418
.9324

.34

1.4049

.7118

.84

2.3164

.4317

.35
.36
.37
.38
.39
.40
.41
.42
.43
.44
.45
.46
.47
.48
.49
.50

1.4191
1.4333
1.4477
1.4623
1.4770
1.4918
1.5068
1.5220
1.5373
1.5527
1.5683
1.5841
1.6000
1.6161
1.6323
1.6487

.7047
.6977
.6907
.6839
.6771
.6703
.6637
.6570
.6505
.6440
.6376
.6313
.6250
.6188
.6126
.6065

.85
.86
.87
.88
.89
.90
.91
.92
.93
.94
.95
.96
.97
.98
.99
1.00

2.3396
2.3632
2.3869
2.4109
2.4351
2.4596
2.4843
2.5093
2.5345
2.5600
2.5857
2.6117
2.6379
2.6645
2.6912
2.7183

.4274
.4232
.4190
.4148
.4107
.4066
.4025
.3985
.3946
.3906
. .3867
.3829
.3791
.3753
.3716
.3679

Present
Worth
Factor
e-rn
Find P
Given F
PfF

Compound
Amount
Factor
ern

.9231.
.9139
.9048
.8958
.8869
.8781
.8694
.8607
.8521
.8437
.8353
.8270
.8187
.8106
.8025
.7945
.7866
.7788
.7711
.7634
.7558
.7483
.7408
.7334
.7261
.7189

--

rn

Find F
Given P
FfP

.51
.52
.53
.54
.55
.56
.57
.58
.59
.60
.61
.62
.63
.64
.65
.66
.67
.68
.69
.70
.71
.72
.73
.74
.75
.76
.77
.78
.79
.80
.81
.82
.83

1.6653
1.6820
1.6989
1.7160
1.7333
1.7507
1.7683
1.7860
1.8040
1.8221
1.8404
1.8589
1.8776
1.8965
1.9155
1.9348
1.9542
1.9739
1.9937
2.0138
2.0340
2.0544
2.0751
2.0959
2.1170
2.1383
2.1598 2.1815
2.2034
2.2255
2.2479
2.2705
2.2933

----

.6005
.5945
.5886
.5827
.5769
.5712
.5655
.5599
.5543
.5488
.5434
'.5379
.5326
.5273
.5220
.5169
.5117
.5066
.5016
.4966
.4916
.4868

.

,4819
.4771
.4724
.4677
.4630
.4584
.4538
.4493
.4449
.4404
.4360

- - ----------------.--

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-

----