A Factor Tables

This contains the factor tables for use in financial equivalence problems.

0.5% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.9950 0.9950 0.0000 1.0050 1.0000 1.0050 1.0000 0.0000
2 0.9901 1.9851 0.9901 1.0100 2.0050 0.5038 0.4988 0.4988
3 0.9851 2.9702 2.9604 1.0151 3.0150 0.3367 0.3317 0.9967
4 0.9802 3.9505 5.9011 1.0202 4.0301 0.2531 0.2481 1.4938
5 0.9754 4.9259 9.8026 1.0253 5.0503 0.2030 0.1980 1.9900
6 0.9705 5.8964 14.6552 1.0304 6.0755 0.1696 0.1646 2.4855
7 0.9657 6.8621 20.4493 1.0355 7.1059 0.1457 0.1407 2.9801
8 0.9609 7.8230 27.1755 1.0407 8.1414 0.1278 0.1228 3.4738
9 0.9561 8.7791 34.8244 1.0459 9.1821 0.1139 0.1089 3.9668
10 0.9513 9.7304 43.3865 1.0511 10.2280 0.1028 0.0978 4.4589
11 0.9466 10.6770 52.8526 1.0564 11.2792 0.0937 0.0887 4.9501
12 0.9419 11.6189 63.2136 1.0617 12.3356 0.0861 0.0811 5.4406
13 0.9372 12.5562 74.4602 1.0670 13.3972 0.0796 0.0746 5.9302
14 0.9326 13.4887 86.5835 1.0723 14.4642 0.0741 0.0691 6.4190
15 0.9279 14.4166 99.5743 1.0777 15.5365 0.0694 0.0644 6.9069
16 0.9233 15.3399 113.4238 1.0831 16.6142 0.0652 0.0602 7.3940
17 0.9187 16.2586 128.1231 1.0885 17.6973 0.0615 0.0565 7.8803
18 0.9141 17.1728 143.6634 1.0939 18.7858 0.0582 0.0532 8.3658
19 0.9096 18.0824 160.0360 1.0994 19.8797 0.0553 0.0503 8.8504
20 0.9051 18.9874 177.2322 1.1049 20.9791 0.0527 0.0477 9.3342
21 0.9006 19.8880 195.2434 1.1104 22.0840 0.0503 0.0453 9.8172
22 0.8961 20.7841 214.0611 1.1160 23.1944 0.0481 0.0431 10.2993
23 0.8916 21.6757 233.6768 1.1216 24.3104 0.0461 0.0411 10.7806
24 0.8872 22.5629 254.0820 1.1272 25.4320 0.0443 0.0393 11.2611
25 0.8828 23.4456 275.2686 1.1328 26.5591 0.0427 0.0377 11.7407
30 0.8610 27.7941 392.6324 1.1614 32.2800 0.0360 0.0310 14.1265
40 0.8191 36.1722 681.3347 1.2208 44.1588 0.0276 0.0226 18.8359
50 0.7793 44.1428 1035.6966 1.2832 56.6452 0.0227 0.0177 23.4624
60 0.7414 51.7256 1448.6458 1.3489 69.7700 0.0193 0.0143 28.0064
100 0.6073 78.5426 3562.7934 1.6467 129.3337 0.0127 0.0077 45.3613

1% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.9901 0.9901 0.0000 1.0100 1.0000 1.0100 1.0000 0.0000
2 0.9803 1.9704 0.9803 1.0201 2.0100 0.5075 0.4975 0.4975
3 0.9706 2.9410 2.9215 1.0303 3.0301 0.3400 0.3300 0.9934
4 0.9610 3.9020 5.8044 1.0406 4.0604 0.2563 0.2463 1.4876
5 0.9515 4.8534 9.6103 1.0510 5.1010 0.2060 0.1960 1.9801
6 0.9420 5.7955 14.3205 1.0615 6.1520 0.1725 0.1625 2.4710
7 0.9327 6.7282 19.9168 1.0721 7.2135 0.1486 0.1386 2.9602
8 0.9235 7.6517 26.3812 1.0829 8.2857 0.1307 0.1207 3.4478
9 0.9143 8.5660 33.6959 1.0937 9.3685 0.1167 0.1067 3.9337
10 0.9053 9.4713 41.8435 1.1046 10.4622 0.1056 0.0956 4.4179
11 0.8963 10.3676 50.8067 1.1157 11.5668 0.0965 0.0865 4.9005
12 0.8874 11.2551 60.5687 1.1268 12.6825 0.0888 0.0788 5.3815
13 0.8787 12.1337 71.1126 1.1381 13.8093 0.0824 0.0724 5.8607
14 0.8700 13.0037 82.4221 1.1495 14.9474 0.0769 0.0669 6.3384
15 0.8613 13.8651 94.4810 1.1610 16.0969 0.0721 0.0621 6.8143
16 0.8528 14.7179 107.2734 1.1726 17.2579 0.0679 0.0579 7.2886
17 0.8444 15.5623 120.7834 1.1843 18.4304 0.0643 0.0543 7.7613
18 0.8360 16.3983 134.9957 1.1961 19.6147 0.0610 0.0510 8.2323
19 0.8277 17.2260 149.8950 1.2081 20.8109 0.0581 0.0481 8.7017
20 0.8195 18.0456 165.4664 1.2202 22.0190 0.0554 0.0454 9.1694
21 0.8114 18.8570 181.6950 1.2324 23.2392 0.0530 0.0430 9.6354
22 0.8034 19.6604 198.5663 1.2447 24.4716 0.0509 0.0409 10.0998
23 0.7954 20.4558 216.0660 1.2572 25.7163 0.0489 0.0389 10.5626
24 0.7876 21.2434 234.1800 1.2697 26.9735 0.0471 0.0371 11.0237
25 0.7798 22.0232 252.8945 1.2824 28.2432 0.0454 0.0354 11.4831
30 0.7419 25.8077 355.0021 1.3478 34.7849 0.0387 0.0287 13.7557
40 0.6717 32.8347 596.8561 1.4889 48.8864 0.0305 0.0205 18.1776
50 0.6080 39.1961 879.4176 1.6446 64.4632 0.0255 0.0155 22.4363
60 0.5504 44.9550 1192.8061 1.8167 81.6697 0.0222 0.0122 26.5333
100 0.3697 63.0289 2605.7758 2.7048 170.4814 0.0159 0.0059 41.3426

1.5% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.9852 0.9852 0.0000 1.0150 1.0000 1.0150 1.0000 0.0000
2 0.9707 1.9559 0.9707 1.0302 2.0150 0.5113 0.4963 0.4963
3 0.9563 2.9122 2.8833 1.0457 3.0452 0.3434 0.3284 0.9901
4 0.9422 3.8544 5.7098 1.0614 4.0909 0.2594 0.2444 1.4814
5 0.9283 4.7826 9.4229 1.0773 5.1523 0.2091 0.1941 1.9702
6 0.9145 5.6972 13.9956 1.0934 6.2296 0.1755 0.1605 2.4566
7 0.9010 6.5982 19.4018 1.1098 7.3230 0.1516 0.1366 2.9405
8 0.8877 7.4859 25.6157 1.1265 8.4328 0.1336 0.1186 3.4219
9 0.8746 8.3605 32.6125 1.1434 9.5593 0.1196 0.1046 3.9008
10 0.8617 9.2222 40.3675 1.1605 10.7027 0.1084 0.0934 4.3772
11 0.8489 10.0711 48.8568 1.1779 11.8633 0.0993 0.0843 4.8512
12 0.8364 10.9075 58.0571 1.1956 13.0412 0.0917 0.0767 5.3227
13 0.8240 11.7315 67.9454 1.2136 14.2368 0.0852 0.0702 5.7917
14 0.8118 12.5434 78.4994 1.2318 15.4504 0.0797 0.0647 6.2582
15 0.7999 13.3432 89.6974 1.2502 16.6821 0.0749 0.0599 6.7223
16 0.7880 14.1313 101.5178 1.2690 17.9324 0.0708 0.0558 7.1839
17 0.7764 14.9076 113.9400 1.2880 19.2014 0.0671 0.0521 7.6431
18 0.7649 15.6726 126.9435 1.3073 20.4894 0.0638 0.0488 8.0997
19 0.7536 16.4262 140.5084 1.3270 21.7967 0.0609 0.0459 8.5539
20 0.7425 17.1686 154.6154 1.3469 23.1237 0.0582 0.0432 9.0057
21 0.7315 17.9001 169.2453 1.3671 24.4705 0.0559 0.0409 9.4550
22 0.7207 18.6208 184.3798 1.3876 25.8376 0.0537 0.0387 9.9018
23 0.7100 19.3309 200.0006 1.4084 27.2251 0.0517 0.0367 10.3462
24 0.6995 20.0304 216.0901 1.4295 28.6335 0.0499 0.0349 10.7881
25 0.6892 20.7196 232.6310 1.4509 30.0630 0.0483 0.0333 11.2276
30 0.6398 24.0158 321.5310 1.5631 37.5387 0.0416 0.0266 13.3883
40 0.5513 29.9158 524.3568 1.8140 54.2679 0.0334 0.0184 17.5277
50 0.4750 34.9997 749.9636 2.1052 73.6828 0.0286 0.0136 21.4277
60 0.4093 39.3803 988.1674 2.4432 96.2147 0.0254 0.0104 25.0930
100 0.2256 51.6247 1937.4506 4.4320 228.8030 0.0194 0.0044 37.5295

2% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.9804 0.9804 0.0000 1.0200 1.0000 1.0200 1.0000 0.0000
2 0.9612 1.9416 0.9612 1.0404 2.0200 0.5150 0.4950 0.4950
3 0.9423 2.8839 2.8458 1.0612 3.0604 0.3468 0.3268 0.9868
4 0.9238 3.8077 5.6173 1.0824 4.1216 0.2626 0.2426 1.4752
5 0.9057 4.7135 9.2403 1.1041 5.2040 0.2122 0.1922 1.9604
6 0.8880 5.6014 13.6801 1.1262 6.3081 0.1785 0.1585 2.4423
7 0.8706 6.4720 18.9035 1.1487 7.4343 0.1545 0.1345 2.9208
8 0.8535 7.3255 24.8779 1.1717 8.5830 0.1365 0.1165 3.3961
9 0.8368 8.1622 31.5720 1.1951 9.7546 0.1225 0.1025 3.8681
10 0.8203 8.9826 38.9551 1.2190 10.9497 0.1113 0.0913 4.3367
11 0.8043 9.7868 46.9977 1.2434 12.1687 0.1022 0.0822 4.8021
12 0.7885 10.5753 55.6712 1.2682 13.4121 0.0946 0.0746 5.2642
13 0.7730 11.3484 64.9475 1.2936 14.6803 0.0881 0.0681 5.7231
14 0.7579 12.1062 74.7999 1.3195 15.9739 0.0826 0.0626 6.1786
15 0.7430 12.8493 85.2021 1.3459 17.2934 0.0778 0.0578 6.6309
16 0.7284 13.5777 96.1288 1.3728 18.6393 0.0737 0.0537 7.0799
17 0.7142 14.2919 107.5554 1.4002 20.0121 0.0700 0.0500 7.5256
18 0.7002 14.9920 119.4581 1.4282 21.4123 0.0667 0.0467 7.9681
19 0.6864 15.6785 131.8139 1.4568 22.8406 0.0638 0.0438 8.4073
20 0.6730 16.3514 144.6003 1.4859 24.2974 0.0612 0.0412 8.8433
21 0.6598 17.0112 157.7959 1.5157 25.7833 0.0588 0.0388 9.2760
22 0.6468 17.6580 171.3795 1.5460 27.2990 0.0566 0.0366 9.7055
23 0.6342 18.2922 185.3309 1.5769 28.8450 0.0547 0.0347 10.1317
24 0.6217 18.9139 199.6305 1.6084 30.4219 0.0529 0.0329 10.5547
25 0.6095 19.5235 214.2592 1.6406 32.0303 0.0512 0.0312 10.9745
30 0.5521 22.3965 291.7164 1.8114 40.5681 0.0446 0.0246 13.0251
40 0.4529 27.3555 461.9931 2.2080 60.4020 0.0366 0.0166 16.8885
50 0.3715 31.4236 642.3606 2.6916 84.5794 0.0318 0.0118 20.4420
60 0.3048 34.7609 823.6975 3.2810 114.0515 0.0288 0.0088 23.6961
100 0.1380 43.0984 1464.7527 7.2446 312.2323 0.0232 0.0032 33.9863

3% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.9709 0.9709 0.0000 1.0300 1.0000 1.0300 1.0000 0.0000
2 0.9426 1.9135 0.9426 1.0609 2.0300 0.5226 0.4926 0.4926
3 0.9151 2.8286 2.7729 1.0927 3.0909 0.3535 0.3235 0.9803
4 0.8885 3.7171 5.4383 1.1255 4.1836 0.2690 0.2390 1.4631
5 0.8626 4.5797 8.8888 1.1593 5.3091 0.2184 0.1884 1.9409
6 0.8375 5.4172 13.0762 1.1941 6.4684 0.1846 0.1546 2.4138
7 0.8131 6.2303 17.9547 1.2299 7.6625 0.1605 0.1305 2.8819
8 0.7894 7.0197 23.4806 1.2668 8.8923 0.1425 0.1125 3.3450
9 0.7664 7.7861 29.6119 1.3048 10.1591 0.1284 0.0984 3.8032
10 0.7441 8.5302 36.3088 1.3439 11.4639 0.1172 0.0872 4.2565
11 0.7224 9.2526 43.5330 1.3842 12.8078 0.1081 0.0781 4.7049
12 0.7014 9.9540 51.2482 1.4258 14.1920 0.1005 0.0705 5.1485
13 0.6810 10.6350 59.4196 1.4685 15.6178 0.0940 0.0640 5.5872
14 0.6611 11.2961 68.0141 1.5126 17.0863 0.0885 0.0585 6.0210
15 0.6419 11.9379 77.0002 1.5580 18.5989 0.0838 0.0538 6.4500
16 0.6232 12.5611 86.3477 1.6047 20.1569 0.0796 0.0496 6.8742
17 0.6050 13.1661 96.0280 1.6528 21.7616 0.0760 0.0460 7.2936
18 0.5874 13.7535 106.0137 1.7024 23.4144 0.0727 0.0427 7.7081
19 0.5703 14.3238 116.2788 1.7535 25.1169 0.0698 0.0398 8.1179
20 0.5537 14.8775 126.7987 1.8061 26.8704 0.0672 0.0372 8.5229
21 0.5375 15.4150 137.5496 1.8603 28.6765 0.0649 0.0349 8.9231
22 0.5219 15.9369 148.5094 1.9161 30.5368 0.0627 0.0327 9.3186
23 0.5067 16.4436 159.6566 1.9736 32.4529 0.0608 0.0308 9.7093
24 0.4919 16.9355 170.9711 2.0328 34.4265 0.0590 0.0290 10.0954
25 0.4776 17.4131 182.4336 2.0938 36.4593 0.0574 0.0274 10.4768
30 0.4120 19.6004 241.3613 2.4273 47.5754 0.0510 0.0210 12.3141
40 0.3066 23.1148 361.7499 3.2620 75.4013 0.0433 0.0133 15.6502
50 0.2281 25.7298 477.4803 4.3839 112.7969 0.0389 0.0089 18.5575
60 0.1697 27.6756 583.0526 5.8916 163.0534 0.0361 0.0061 21.0674
100 0.0520 31.5989 879.8540 19.2186 607.2877 0.0316 0.0016 27.8444

4% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.9615 0.9615 0.0000 1.0400 1.0000 1.0400 1.0000 0.0000
2 0.9246 1.8861 0.9246 1.0816 2.0400 0.5302 0.4902 0.4902
3 0.8890 2.7751 2.7025 1.1249 3.1216 0.3603 0.3203 0.9739
4 0.8548 3.6299 5.2670 1.1699 4.2465 0.2755 0.2355 1.4510
5 0.8219 4.4518 8.5547 1.2167 5.4163 0.2246 0.1846 1.9216
6 0.7903 5.2421 12.5062 1.2653 6.6330 0.1908 0.1508 2.3857
7 0.7599 6.0021 17.0657 1.3159 7.8983 0.1666 0.1266 2.8433
8 0.7307 6.7327 22.1806 1.3686 9.2142 0.1485 0.1085 3.2944
9 0.7026 7.4353 27.8013 1.4233 10.5828 0.1345 0.0945 3.7391
10 0.6756 8.1109 33.8814 1.4802 12.0061 0.1233 0.0833 4.1773
11 0.6496 8.7605 40.3772 1.5395 13.4864 0.1141 0.0741 4.6090
12 0.6246 9.3851 47.2477 1.6010 15.0258 0.1066 0.0666 5.0343
13 0.6006 9.9856 54.4546 1.6651 16.6268 0.1001 0.0601 5.4533
14 0.5775 10.5631 61.9618 1.7317 18.2919 0.0947 0.0547 5.8659
15 0.5553 11.1184 69.7355 1.8009 20.0236 0.0899 0.0499 6.2721
16 0.5339 11.6523 77.7441 1.8730 21.8245 0.0858 0.0458 6.6720
17 0.5134 12.1657 85.9581 1.9479 23.6975 0.0822 0.0422 7.0656
18 0.4936 12.6593 94.3498 2.0258 25.6454 0.0790 0.0390 7.4530
19 0.4746 13.1339 102.8933 2.1068 27.6712 0.0761 0.0361 7.8342
20 0.4564 13.5903 111.5647 2.1911 29.7781 0.0736 0.0336 8.2091
21 0.4388 14.0292 120.3414 2.2788 31.9692 0.0713 0.0313 8.5779
22 0.4220 14.4511 129.2024 2.3699 34.2480 0.0692 0.0292 8.9407
23 0.4057 14.8568 138.1284 2.4647 36.6179 0.0673 0.0273 9.2973
24 0.3901 15.2470 147.1012 2.5633 39.0826 0.0656 0.0256 9.6479
25 0.3751 15.6221 156.1040 2.6658 41.6459 0.0640 0.0240 9.9925
30 0.3083 17.2920 201.0618 3.2434 56.0849 0.0578 0.0178 11.6274
40 0.2083 19.7928 286.5303 4.8010 95.0255 0.0505 0.0105 14.4765
50 0.1407 21.4822 361.1638 7.1067 152.6671 0.0466 0.0066 16.8122
60 0.0951 22.6235 422.9966 10.5196 237.9907 0.0442 0.0042 18.6972
100 0.0198 24.5050 563.1249 50.5049 1237.6237 0.0408 0.0008 22.9800

5% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.9524 0.9524 0.0000 1.0500 1.0000 1.0500 1.0000 0.0000
2 0.9070 1.8594 0.9070 1.1025 2.0500 0.5378 0.4878 0.4878
3 0.8638 2.7232 2.6347 1.1576 3.1525 0.3672 0.3172 0.9675
4 0.8227 3.5460 5.1028 1.2155 4.3101 0.2820 0.2320 1.4391
5 0.7835 4.3295 8.2369 1.2763 5.5256 0.2310 0.1810 1.9025
6 0.7462 5.0757 11.9680 1.3401 6.8019 0.1970 0.1470 2.3579
7 0.7107 5.7864 16.2321 1.4071 8.1420 0.1728 0.1228 2.8052
8 0.6768 6.4632 20.9700 1.4775 9.5491 0.1547 0.1047 3.2445
9 0.6446 7.1078 26.1268 1.5513 11.0266 0.1407 0.0907 3.6758
10 0.6139 7.7217 31.6520 1.6289 12.5779 0.1295 0.0795 4.0991
11 0.5847 8.3064 37.4988 1.7103 14.2068 0.1204 0.0704 4.5144
12 0.5568 8.8633 43.6241 1.7959 15.9171 0.1128 0.0628 4.9219
13 0.5303 9.3936 49.9879 1.8856 17.7130 0.1065 0.0565 5.3215
14 0.5051 9.8986 56.5538 1.9799 19.5986 0.1010 0.0510 5.7133
15 0.4810 10.3797 63.2880 2.0789 21.5786 0.0963 0.0463 6.0973
16 0.4581 10.8378 70.1597 2.1829 23.6575 0.0923 0.0423 6.4736
17 0.4363 11.2741 77.1405 2.2920 25.8404 0.0887 0.0387 6.8423
18 0.4155 11.6896 84.2043 2.4066 28.1324 0.0855 0.0355 7.2034
19 0.3957 12.0853 91.3275 2.5270 30.5390 0.0827 0.0327 7.5569
20 0.3769 12.4622 98.4884 2.6533 33.0660 0.0802 0.0302 7.9030
21 0.3589 12.8212 105.6673 2.7860 35.7193 0.0780 0.0280 8.2416
22 0.3418 13.1630 112.8461 2.9253 38.5052 0.0760 0.0260 8.5730
23 0.3256 13.4886 120.0087 3.0715 41.4305 0.0741 0.0241 8.8971
24 0.3101 13.7986 127.1402 3.2251 44.5020 0.0725 0.0225 9.2140
25 0.2953 14.0939 134.2275 3.3864 47.7271 0.0710 0.0210 9.5238
30 0.2314 15.3725 168.6226 4.3219 66.4388 0.0651 0.0151 10.9691
40 0.1420 17.1591 229.5452 7.0400 120.7998 0.0583 0.0083 13.3775
50 0.0872 18.2559 277.9148 11.4674 209.3480 0.0548 0.0048 15.2233
60 0.0535 18.9293 314.3432 18.6792 353.5837 0.0528 0.0028 16.6062
100 0.0076 19.8479 381.7492 131.5013 2610.0252 0.0504 0.0004 19.2337

6% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.9434 0.9434 0.0000 1.0600 1.0000 1.0600 1.0000 0.0000
2 0.8900 1.8334 0.8900 1.1236 2.0600 0.5454 0.4854 0.4854
3 0.8396 2.6730 2.5692 1.1910 3.1836 0.3741 0.3141 0.9612
4 0.7921 3.4651 4.9455 1.2625 4.3746 0.2886 0.2286 1.4272
5 0.7473 4.2124 7.9345 1.3382 5.6371 0.2374 0.1774 1.8836
6 0.7050 4.9173 11.4594 1.4185 6.9753 0.2034 0.1434 2.3304
7 0.6651 5.5824 15.4497 1.5036 8.3938 0.1791 0.1191 2.7676
8 0.6274 6.2098 19.8416 1.5938 9.8975 0.1610 0.1010 3.1952
9 0.5919 6.8017 24.5768 1.6895 11.4913 0.1470 0.0870 3.6133
10 0.5584 7.3601 29.6023 1.7908 13.1808 0.1359 0.0759 4.0220
11 0.5268 7.8869 34.8702 1.8983 14.9716 0.1268 0.0668 4.4213
12 0.4970 8.3838 40.3369 2.0122 16.8699 0.1193 0.0593 4.8113
13 0.4688 8.8527 45.9629 2.1329 18.8821 0.1130 0.0530 5.1920
14 0.4423 9.2950 51.7128 2.2609 21.0151 0.1076 0.0476 5.5635
15 0.4173 9.7122 57.5546 2.3966 23.2760 0.1030 0.0430 5.9260
16 0.3936 10.1059 63.4592 2.5404 25.6725 0.0990 0.0390 6.2794
17 0.3714 10.4773 69.4011 2.6928 28.2129 0.0954 0.0354 6.6240
18 0.3503 10.8276 75.3569 2.8543 30.9057 0.0924 0.0324 6.9597
19 0.3305 11.1581 81.3062 3.0256 33.7600 0.0896 0.0296 7.2867
20 0.3118 11.4699 87.2304 3.2071 36.7856 0.0872 0.0272 7.6051
21 0.2942 11.7641 93.1136 3.3996 39.9927 0.0850 0.0250 7.9151
22 0.2775 12.0416 98.9412 3.6035 43.3923 0.0830 0.0230 8.2166
23 0.2618 12.3034 104.7007 3.8197 46.9958 0.0813 0.0213 8.5099
24 0.2470 12.5504 110.3812 4.0489 50.8156 0.0797 0.0197 8.7951
25 0.2330 12.7834 115.9732 4.2919 54.8645 0.0782 0.0182 9.0722
30 0.1741 13.7648 142.3588 5.7435 79.0582 0.0726 0.0126 10.3422
40 0.0972 15.0463 185.9568 10.2857 154.7620 0.0665 0.0065 12.3590
50 0.0543 15.7619 217.4574 18.4202 290.3359 0.0634 0.0034 13.7964
60 0.0303 16.1614 239.0428 32.9877 533.1282 0.0619 0.0019 14.7909
100 0.0029 16.6175 272.0471 339.3021 5638.3681 0.0602 0.0002 16.3711

7% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.9346 0.9346 0.0000 1.0700 1.0000 1.0700 1.0000 0.0000
2 0.8734 1.8080 0.8734 1.1449 2.0700 0.5531 0.4831 0.4831
3 0.8163 2.6243 2.5060 1.2250 3.2149 0.3811 0.3111 0.9549
4 0.7629 3.3872 4.7947 1.3108 4.4399 0.2952 0.2252 1.4155
5 0.7130 4.1002 7.6467 1.4026 5.7507 0.2439 0.1739 1.8650
6 0.6663 4.7665 10.9784 1.5007 7.1533 0.2098 0.1398 2.3032
7 0.6227 5.3893 14.7149 1.6058 8.6540 0.1856 0.1156 2.7304
8 0.5820 5.9713 18.7889 1.7182 10.2598 0.1675 0.0975 3.1465
9 0.5439 6.5152 23.1404 1.8385 11.9780 0.1535 0.0835 3.5517
10 0.5083 7.0236 27.7156 1.9672 13.8164 0.1424 0.0724 3.9461
11 0.4751 7.4987 32.4665 2.1049 15.7836 0.1334 0.0634 4.3296
12 0.4440 7.9427 37.3506 2.2522 17.8885 0.1259 0.0559 4.7025
13 0.4150 8.3577 42.3302 2.4098 20.1406 0.1197 0.0497 5.0648
14 0.3878 8.7455 47.3718 2.5785 22.5505 0.1143 0.0443 5.4167
15 0.3624 9.1079 52.4461 2.7590 25.1290 0.1098 0.0398 5.7583
16 0.3387 9.4466 57.5271 2.9522 27.8881 0.1059 0.0359 6.0897
17 0.3166 9.7632 62.5923 3.1588 30.8402 0.1024 0.0324 6.4110
18 0.2959 10.0591 67.6219 3.3799 33.9990 0.0994 0.0294 6.7225
19 0.2765 10.3356 72.5991 3.6165 37.3790 0.0968 0.0268 7.0242
20 0.2584 10.5940 77.5091 3.8697 40.9955 0.0944 0.0244 7.3163
21 0.2415 10.8355 82.3393 4.1406 44.8652 0.0923 0.0223 7.5990
22 0.2257 11.0612 87.0793 4.4304 49.0057 0.0904 0.0204 7.8725
23 0.2109 11.2722 91.7201 4.7405 53.4361 0.0887 0.0187 8.1369
24 0.1971 11.4693 96.2545 5.0724 58.1767 0.0872 0.0172 8.3923
25 0.1842 11.6536 100.6765 5.4274 63.2490 0.0858 0.0158 8.6391
30 0.1314 12.4090 120.9718 7.6123 94.4608 0.0806 0.0106 9.7487
40 0.0668 13.3317 152.2928 14.9745 199.6351 0.0750 0.0050 11.4233
50 0.0339 13.8007 172.9051 29.4570 406.5289 0.0725 0.0025 12.5287
60 0.0173 14.0392 185.7677 57.9464 813.5204 0.0712 0.0012 13.2321
100 0.0012 14.2693 202.2001 867.7163 12381.6618 0.0701 0.0001 14.1703

8% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.9259 0.9259 0.0000 1.0800 1.0000 1.0800 1.0000 0.0000
2 0.8573 1.7833 0.8573 1.1664 2.0800 0.5608 0.4808 0.4808
3 0.7938 2.5771 2.4450 1.2597 3.2464 0.3880 0.3080 0.9487
4 0.7350 3.3121 4.6501 1.3605 4.5061 0.3019 0.2219 1.4040
5 0.6806 3.9927 7.3724 1.4693 5.8666 0.2505 0.1705 1.8465
6 0.6302 4.6229 10.5233 1.5869 7.3359 0.2163 0.1363 2.2763
7 0.5835 5.2064 14.0242 1.7138 8.9228 0.1921 0.1121 2.6937
8 0.5403 5.7466 17.8061 1.8509 10.6366 0.1740 0.0940 3.0985
9 0.5002 6.2469 21.8081 1.9990 12.4876 0.1601 0.0801 3.4910
10 0.4632 6.7101 25.9768 2.1589 14.4866 0.1490 0.0690 3.8713
11 0.4289 7.1390 30.2657 2.3316 16.6455 0.1401 0.0601 4.2395
12 0.3971 7.5361 34.6339 2.5182 18.9771 0.1327 0.0527 4.5957
13 0.3677 7.9038 39.0463 2.7196 21.4953 0.1265 0.0465 4.9402
14 0.3405 8.2442 43.4723 2.9372 24.2149 0.1213 0.0413 5.2731
15 0.3152 8.5595 47.8857 3.1722 27.1521 0.1168 0.0368 5.5945
16 0.2919 8.8514 52.2640 3.4259 30.3243 0.1130 0.0330 5.9046
17 0.2703 9.1216 56.5883 3.7000 33.7502 0.1096 0.0296 6.2037
18 0.2502 9.3719 60.8426 3.9960 37.4502 0.1067 0.0267 6.4920
19 0.2317 9.6036 65.0134 4.3157 41.4463 0.1041 0.0241 6.7697
20 0.2145 9.8181 69.0898 4.6610 45.7620 0.1019 0.0219 7.0369
21 0.1987 10.0168 73.0629 5.0338 50.4229 0.0998 0.0198 7.2940
22 0.1839 10.2007 76.9257 5.4365 55.4568 0.0980 0.0180 7.5412
23 0.1703 10.3711 80.6726 5.8715 60.8933 0.0964 0.0164 7.7786
24 0.1577 10.5288 84.2997 6.3412 66.7648 0.0950 0.0150 8.0066
25 0.1460 10.6748 87.8041 6.8485 73.1059 0.0937 0.0137 8.2254
30 0.0994 11.2578 103.4558 10.0627 113.2832 0.0888 0.0088 9.1897
40 0.0460 11.9246 126.0422 21.7245 259.0565 0.0839 0.0039 10.5699
50 0.0213 12.2335 139.5928 46.9016 573.7702 0.0817 0.0017 11.4107
60 0.0099 12.3766 147.3000 101.2571 1253.2133 0.0808 0.0008 11.9015
100 0.0005 12.4943 155.6107 2199.7613 27484.5157 0.0800 0.0000 12.4545

10% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.9091 0.9091 0.0000 1.1000 1.0000 1.1000 1.0000 0.0000
2 0.8264 1.7355 0.8264 1.2100 2.1000 0.5762 0.4762 0.4762
3 0.7513 2.4869 2.3291 1.3310 3.3100 0.4021 0.3021 0.9366
4 0.6830 3.1699 4.3781 1.4641 4.6410 0.3155 0.2155 1.3812
5 0.6209 3.7908 6.8618 1.6105 6.1051 0.2638 0.1638 1.8101
6 0.5645 4.3553 9.6842 1.7716 7.7156 0.2296 0.1296 2.2236
7 0.5132 4.8684 12.7631 1.9487 9.4872 0.2054 0.1054 2.6216
8 0.4665 5.3349 16.0287 2.1436 11.4359 0.1874 0.0874 3.0045
9 0.4241 5.7590 19.4215 2.3579 13.5795 0.1736 0.0736 3.3724
10 0.3855 6.1446 22.8913 2.5937 15.9374 0.1627 0.0627 3.7255
11 0.3505 6.4951 26.3963 2.8531 18.5312 0.1540 0.0540 4.0641
12 0.3186 6.8137 29.9012 3.1384 21.3843 0.1468 0.0468 4.3884
13 0.2897 7.1034 33.3772 3.4523 24.5227 0.1408 0.0408 4.6988
14 0.2633 7.3667 36.8005 3.7975 27.9750 0.1357 0.0357 4.9955
15 0.2394 7.6061 40.1520 4.1772 31.7725 0.1315 0.0315 5.2789
16 0.2176 7.8237 43.4164 4.5950 35.9497 0.1278 0.0278 5.5493
17 0.1978 8.0216 46.5819 5.0545 40.5447 0.1247 0.0247 5.8071
18 0.1799 8.2014 49.6395 5.5599 45.5992 0.1219 0.0219 6.0526
19 0.1635 8.3649 52.5827 6.1159 51.1591 0.1195 0.0195 6.2861
20 0.1486 8.5136 55.4069 6.7275 57.2750 0.1175 0.0175 6.5081
21 0.1351 8.6487 58.1095 7.4002 64.0025 0.1156 0.0156 6.7189
22 0.1228 8.7715 60.6893 8.1403 71.4027 0.1140 0.0140 6.9189
23 0.1117 8.8832 63.1462 8.9543 79.5430 0.1126 0.0126 7.1085
24 0.1015 8.9847 65.4813 9.8497 88.4973 0.1113 0.0113 7.2881
25 0.0923 9.0770 67.6964 10.8347 98.3471 0.1102 0.0102 7.4580
30 0.0573 9.4269 77.0766 17.4494 164.4940 0.1061 0.0061 8.1762
40 0.0221 9.7791 88.9525 45.2593 442.5926 0.1023 0.0023 9.0962
50 0.0085 9.9148 94.8889 117.3909 1163.9085 0.1009 0.0009 9.5704
60 0.0033 9.9672 97.7010 304.4816 3034.8164 0.1003 0.0003 9.8023
100 0.0001 9.9993 99.9202 13780.6123 137796.1234 0.1000 0.0000 9.9927

12% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.8929 0.8929 0.0000 1.1200 1.0000 1.1200 1.0000 0.0000
2 0.7972 1.6901 0.7972 1.2544 2.1200 0.5917 0.4717 0.4717
3 0.7118 2.4018 2.2208 1.4049 3.3744 0.4163 0.2963 0.9246
4 0.6355 3.0373 4.1273 1.5735 4.7793 0.3292 0.2092 1.3589
5 0.5674 3.6048 6.3970 1.7623 6.3528 0.2774 0.1574 1.7746
6 0.5066 4.1114 8.9302 1.9738 8.1152 0.2432 0.1232 2.1720
7 0.4523 4.5638 11.6443 2.2107 10.0890 0.2191 0.0991 2.5515
8 0.4039 4.9676 14.4714 2.4760 12.2997 0.2013 0.0813 2.9131
9 0.3606 5.3282 17.3563 2.7731 14.7757 0.1877 0.0677 3.2574
10 0.3220 5.6502 20.2541 3.1058 17.5487 0.1770 0.0570 3.5847
11 0.2875 5.9377 23.1288 3.4785 20.6546 0.1684 0.0484 3.8953
12 0.2567 6.1944 25.9523 3.8960 24.1331 0.1614 0.0414 4.1897
13 0.2292 6.4235 28.7024 4.3635 28.0291 0.1557 0.0357 4.4683
14 0.2046 6.6282 31.3624 4.8871 32.3926 0.1509 0.0309 4.7317
15 0.1827 6.8109 33.9202 5.4736 37.2797 0.1468 0.0268 4.9803
16 0.1631 6.9740 36.3670 6.1304 42.7533 0.1434 0.0234 5.2147
17 0.1456 7.1196 38.6973 6.8660 48.8837 0.1405 0.0205 5.4353
18 0.1300 7.2497 40.9080 7.6900 55.7497 0.1379 0.0179 5.6427
19 0.1161 7.3658 42.9979 8.6128 63.4397 0.1358 0.0158 5.8375
20 0.1037 7.4694 44.9676 9.6463 72.0524 0.1339 0.0139 6.0202
21 0.0926 7.5620 46.8188 10.8038 81.6987 0.1322 0.0122 6.1913
22 0.0826 7.6446 48.5543 12.1003 92.5026 0.1308 0.0108 6.3514
23 0.0738 7.7184 50.1776 13.5523 104.6029 0.1296 0.0096 6.5010
24 0.0659 7.7843 51.6929 15.1786 118.1552 0.1285 0.0085 6.6406
25 0.0588 7.8431 53.1046 17.0001 133.3339 0.1275 0.0075 6.7708
30 0.0334 8.0552 58.7821 29.9599 241.3327 0.1241 0.0041 7.2974
40 0.0107 8.2438 65.1159 93.0510 767.0914 0.1213 0.0013 7.8988
50 0.0035 8.3045 67.7624 289.0022 2400.0182 0.1204 0.0004 8.1597
60 0.0011 8.3240 68.8100 897.5969 7471.6411 0.1201 0.0001 8.2664
100 0.0000 8.3332 69.4336 83522.2657 696010.5477 0.1200 0.0000 8.3321

18% factor table

n P/F P/A P/G F/P F/A A/P A/F A/G
1 0.8475 0.8475 0.0000 1.180000e+00 1.000000e+00 1.1800 1.0000 0.0000
2 0.7182 1.5656 0.7182 1.392400e+00 2.180000e+00 0.6387 0.4587 0.4587
3 0.6086 2.1743 1.9354 1.643000e+00 3.572400e+00 0.4599 0.2799 0.8902
4 0.5158 2.6901 3.4828 1.938800e+00 5.215400e+00 0.3717 0.1917 1.2947
5 0.4371 3.1272 5.2312 2.287800e+00 7.154200e+00 0.3198 0.1398 1.6728
6 0.3704 3.4976 7.0834 2.699600e+00 9.442000e+00 0.2859 0.1059 2.0252
7 0.3139 3.8115 8.9670 3.185500e+00 1.214150e+01 0.2624 0.0824 2.3526
8 0.2660 4.0776 10.8292 3.758900e+00 1.532700e+01 0.2452 0.0652 2.6558
9 0.2255 4.3030 12.6329 4.435500e+00 1.908590e+01 0.2324 0.0524 2.9358
10 0.1911 4.4941 14.3525 5.233800e+00 2.352130e+01 0.2225 0.0425 3.1936
11 0.1619 4.6560 15.9716 6.175900e+00 2.875510e+01 0.2148 0.0348 3.4303
12 0.1372 4.7932 17.4811 7.287600e+00 3.493110e+01 0.2086 0.0286 3.6470
13 0.1163 4.9095 18.8765 8.599400e+00 4.221870e+01 0.2037 0.0237 3.8449
14 0.0985 5.0081 20.1576 1.014720e+01 5.081800e+01 0.1997 0.0197 4.0250
15 0.0835 5.0916 21.3269 1.197370e+01 6.096530e+01 0.1964 0.0164 4.1887
16 0.0708 5.1624 22.3885 1.412900e+01 7.293900e+01 0.1937 0.0137 4.3369
17 0.0600 5.2223 23.3482 1.667220e+01 8.706800e+01 0.1915 0.0115 4.4708
18 0.0508 5.2732 24.2123 1.967330e+01 1.037403e+02 0.1896 0.0096 4.5916
19 0.0431 5.3162 24.9877 2.321440e+01 1.234135e+02 0.1881 0.0081 4.7003
20 0.0365 5.3527 25.6813 2.739300e+01 1.466280e+02 0.1868 0.0068 4.7978
21 0.0309 5.3837 26.3000 3.232380e+01 1.740210e+02 0.1857 0.0057 4.8851
22 0.0262 5.4099 26.8506 3.814210e+01 2.063448e+02 0.1848 0.0048 4.9632
23 0.0222 5.4321 27.3394 4.500760e+01 2.444868e+02 0.1841 0.0041 5.0329
24 0.0188 5.4509 27.7725 5.310900e+01 2.894945e+02 0.1835 0.0035 5.0950
25 0.0160 5.4669 28.1555 6.266860e+01 3.426035e+02 0.1829 0.0029 5.1502
30 0.0070 5.5168 29.4864 1.433706e+02 7.909480e+02 0.1813 0.0013 5.3448
40 0.0013 5.5482 30.5269 7.503783e+02 4.163213e+03 0.1802 0.0002 5.5022
50 0.0003 5.5541 30.7856 3.927357e+03 2.181309e+04 0.1800 0.0000 5.5428
60 0.0000 5.5553 30.8465 2.055514e+04 1.141897e+05 0.1800 0.0000 5.5526
100 0.0000 5.5556 30.8642 1.542413e+07 8.568962e+07 0.1800 0.0000 5.5555
Fricker, Jon D, and Robert K Whitford. 2019. Fundamentals of Transportation Engineering. 2nd ed. AcademicPub.
Jones, David S., Scott H. Podolsky, and Jeremy A. Greene. 2012. “The Burden of Disease and the Changing Task of Medicine.” New England Journal of Medicine 366 (25): 2333–38. https://doi.org/10.1056/NEJMp1113569.
Kibert, Charles J. 2016. Sustainable Construction: Green Building Design and Delivery. John Wiley & Sons.
Martland, Carl Douglas. 2012. Toward More Sustainable Infrastructure. Wiley.
Melillo, Jerry M, TT Richmond, G Yohe, et al. 2014. “Climate Change Impacts in the United States.” Third National Climate Assessment 52.
Meyer, Michael D., and Eric J. Miller. 2001. Urban Transportation Planning: A Decision-Oriented Approach. 2nd ed. McGraw-Hill.