Tablas de Factores Ingenieria Economica
Factores de interes discreto capitalizado al : i = 0.50% http://www.itson.mx/dii/m 5% 10% 12% 15% 18% 20% (P/A,i,
Views 186 Downloads 1 File size 1MB
Recommend stories
- Author / Uploaded
- Josue Mtz
Citation preview
Factores de interes discreto capitalizado al : i = 0.50%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.0050 1.0100 1.0151 1.0202 1.0253
0.9950 0.9901 0.9851 0.9802 0.9754
1.0050 0.5038 0.3367 0.2531 0.2030
0.9950 1.9851 2.9702 3.9505 4.9259
1.0000 2.0050 3.0150 4.0301 5.0503
1.0000 0.4988 0.3317 0.2481 0.1980
0.0000 0.9901 2.9604 5.9011 9.8026
0.0000 1.0000 3.0050 6.0200 10.0501
0.0000 0.4988 0.9967 1.4938 1.9900
0.9950 2.0346 3.1207 4.2555 5.4411
0.9950 2.0841 3.2761 4.5808 6.0089
0.9950 2.1039 3.3397 4.7169 6.2516
0.9950 2.1336 3.4365 4.9273 6.6332
0.9950 2.1633 3.5350 5.1456 7.0366
0.9950 2.1831 3.6017 5.2956 7.3181
6 7 8 9 10
1.0304 1.0355 1.0407 1.0459 1.0511
0.9705 0.9657 0.9609 0.9561 0.9513
0.1696 0.1457 0.1278 0.1139 0.1028
5.8964 6.8621 7.8230 8.7791 9.7304
6.0755 7.1059 8.1414 9.1821 10.2280
0.1646 0.1407 0.1228 0.1089 0.0978
14.6552 20.4493 27.1755 34.8244 43.3865
15.1004 21.1759 28.2818 36.4232 45.6053
2.4855 2.9801 3.4738 3.9668 4.4589
6.6797 7.9738 9.3259 10.7385 12.2143
7.5719 9.2827 11.1552 13.2047 15.4479
7.9620 9.8681 11.9923 14.3596 16.9978
8.5853 10.8190 13.3750 16.2997 19.6464
9.2569 11.8639 14.9248 18.5186 22.7383
9.7331 12.6166 16.0596 20.1707 25.0795
11 12 13 14 15
1.0564 1.0617 1.0670 1.0723 1.0777
0.9466 0.9419 0.9372 0.9326 0.9279
0.0937 0.0861 0.0796 0.0741 0.0694
10.6770 11.6189 12.5562 13.4887 14.4166
11.2792 12.3356 13.3972 14.4642 15.5365
0.0887 0.0811 0.0746 0.0691 0.0644
52.8526 63.2136 74.4602 86.5835 99.5743
55.8333 67.1125 79.4480 92.8453 107.3095
4.9501 5.4406 5.9302 6.4190 6.9069
13.7563 15.3673 17.0504 18.8088 20.6461
17.9032 20.5906 23.5319 26.7514 30.2751
19.9378 23.2143 26.8656 30.9349 35.4697
23.4760 27.8581 32.8725 38.6103 45.1760
27.6927 33.5098 40.3399 48.3593 57.7751
30.9407 37.9391 46.2954 56.2732 68.1868
16 17 18 19 20
1.0831 1.0885 1.0939 1.0994 1.1049
0.9233 0.9187 0.9141 0.9096 0.9051
0.0652 0.0615 0.0582 0.0553 0.0527
15.3399 16.2586 17.1728 18.0824 18.9874
16.6142 17.6973 18.7858 19.8797 20.9791
0.0602 0.0565 0.0532 0.0503 0.0477
113.4238 128.1231 143.6634 160.0360 177.2322
122.8461 139.4603 157.1576 175.9434 195.8231
7.3940 7.8803 8.3658 8.8504 9.3342
22.5655 24.5710 26.6662 28.8552 31.1423
34.1320 38.3534 42.9739 48.0311 53.5664
40.5234 46.1555 52.4320 59.4267 67.2218
52.6889 61.2858 71.1231 82.3797 95.2603
68.8305 81.8109 97.0516 114.9462 135.9567
82.4122 99.3976 119.6787 143.8950 172.8099
21 22 23 24 25
1.1104 1.1160 1.1216 1.1272 1.1328
0.9006 0.8961 0.8916 0.8872 0.8828
0.0503 0.0481 0.0461 0.0443 0.0427
19.8880 20.7841 21.6757 22.5629 23.4456
22.0840 23.1944 24.3104 25.4320 26.5591
0.0453 0.0431 0.0411 0.0393 0.0377
195.2434 214.0611 233.6768 254.0820 275.2686
216.8022 238.8862 262.0806 286.3910 311.8230
9.8172 10.2993 10.7806 11.2611 11.7407
33.5317 36.0282 38.6364 41.3614 44.2084
59.6249 66.2562 73.5142 81.4583 90.1534
75.9088 85.5899 96.3788 108.4023 121.8015
109.9994 126.8649 146.1639 168.2472 193.5167
160.6258 189.5904 223.5987 263.5289 310.4120
207.3353 248.5595 297.7825 356.5562 426.7338
26 27 28 29 30
1.1385 1.1442 1.1499 1.1556 1.1614
0.8784 0.8740 0.8697 0.8653 0.8610
0.0411 0.0397 0.0384 0.0371 0.0360
24.3240 25.1980 26.0677 26.9330 27.7941
27.6919 28.8304 29.9745 31.1244 32.2800
0.0361 0.0347 0.0334 0.0321 0.0310
297.2281 319.9523 343.4332 367.6625 392.6324
338.3821 366.0740 394.9044 424.8789 456.0033
12.2195 12.6975 13.1747 13.6510 14.1265
47.1829 50.2906 53.5375 56.9297 60.4738
99.6704 110.0870 121.4882 133.9672 147.6258
136.7341 153.3753 171.9207 192.5882 215.6207
222.4321 255.5193 293.3803 336.7038 386.2780
365.4588 430.0910 505.9775 595.0780 699.6936
510.5279 610.5806 730.0465 872.6923 1043.0157
35 40 45
1.1907 1.2208 1.2516
0.8398 0.8191 0.7990
0.0312 0.0276 0.0249
32.0354 36.1722 40.2072
38.1454 44.1588 50.3242
0.0262 0.0226 0.0199
528.3123 681.3347 850.7631
629.0756 831.7695 1064.8328
16.4915 18.8359 21.1595
80.7217 105.9273 137.3044
237.9061 379.7223 602.4934
376.8899 764.4406 1568.3412 2538.7531 654.1014 1506.3272 3506.6518 6168.9590 1130.6104 2961.7742 7831.8209 14979.5935
50 55
1.2832 1.3156
0.7793 0.7601
0.0227 0.0208
44.1428 47.9814
56.6452 63.1258
0.0177 0.0158
1035.6966 1329.0326 1235.2686 1625.1550
23.4624 25.7447
176.3641 224.9875
952.4322 1949.6990 5817.0976 17483.0542 36363.3060 1502.1315 3357.6601 11418.7246 39018.9303 88262.3105
60 70 80 90 100
1.3489 1.4178 1.4903 1.5666 1.6467
0.7414 0.7053 0.6710 0.6383 0.6073
0.0193 0.0170 0.0152 0.0138 0.0127
51.7256 58.9394 65.8023 72.3313 78.5426
69.7700 83.5661 98.0677 113.3109 129.3337
0.0143 0.0120 0.0102 0.0088 0.0077
1448.6458 1913.6427 2424.6455 2976.0769 3562.7934
28.0064 32.4680 36.8474 41.1451 45.3613
285.5162 454.6633 716.7812 1122.9712 1752.4217
2365.6234 5777.8557 22408.1019 87074.3386 5852.7456 17089.0725 86262.4482 14457.3993 50510.8031 35689.8259 88081.9331
1954.0061 2713.2211 3613.5427 4662.1872 5866.7397
http://www.itson.mx/dii/mconant/ 25%
30%
0.9950 2.2326 3.7719 5.6865 8.0677
0.9950 2.2821 3.9470 6.1006 8.8864
11.0295 14.7133 19.2952 24.9940 32.0821
12.4898 17.1510 23.1805 30.9797 41.0683
40.8982 51.8634 65.5017 82.4648 103.5632
54.1182 70.9986 92.8340 121.0788 157.6144
129.8050 162.4440 203.0398 253.5321 316.3334
204.8744 266.0067 345.0832 447.3713 579.6843
394.4446 491.5977 612.4350 762.7301 949.6643
750.8355 972.2250 1258.5995 1629.0341 2108.2033
1182.1695 1471.3551 1831.0387 2278.4064 2834.8338
2728.0242 3529.7826 4566.8829 5908.4058 7643.7090
(P/A,i,j,n)
8446.2200 27690.4485 25149.0443 74866.5888
Factores de interes discreto capitalizado al : i =
1%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.0100 1.0201 1.0303 1.0406 1.0510
0.9901 0.9803 0.9706 0.9610 0.9515
1.0100 0.5075 0.3400 0.2563 0.2060
0.9901 1.9704 2.9410 3.9020 4.8534
1.0000 2.0100 3.0301 4.0604 5.1010
1.0000 0.4975 0.3300 0.2463 0.1960
0.0000 0.9803 2.9215 5.8044 9.6103
0.0000 1.0000 3.0100 6.0401 10.1005
0.0000 0.4975 0.9934 1.4876 1.9801
0.9901 2.0194 3.0895 4.2019 5.3585
0.9901 2.0684 3.2428 4.5219 5.9149
0.9901 2.0880 3.3055 4.6556 6.1528
0.9901 2.1174 3.4010 4.8626 6.5267
0.9901 2.1468 3.4983 5.0772 6.9219
0.9901 2.1665 3.5641 5.2247 7.1976
6 7 8 9 10
1.0615 1.0721 1.0829 1.0937 1.1046
0.9420 0.9327 0.9235 0.9143 0.9053
0.1725 0.1486 0.1307 0.1167 0.1056
5.7955 6.7282 7.6517 8.5660 9.4713
6.1520 7.2135 8.2857 9.3685 10.4622
0.1625 0.1386 0.1207 0.1067 0.0956
14.3205 19.9168 26.3812 33.6959 41.8435
15.2015 21.3535 28.5671 36.8527 46.2213
2.4710 2.9602 3.4478 3.9337 4.4179
6.5608 7.8107 9.1101 10.4610 11.8654
7.4321 9.0845 10.8841 12.8441 14.9787
7.8130 9.6540 11.6955 13.9594 16.4699
8.4215 10.5789 13.0354 15.8324 19.0171
9.0771 11.5950 14.5367 17.9736 21.9890
9.5417 12.3268 15.6358 19.5673 24.2384
11 12 13 14 15
1.1157 1.1268 1.1381 1.1495 1.1610
0.8963 0.8874 0.8787 0.8700 0.8613
0.0965 0.0888 0.0824 0.0769 0.0721
10.3676 11.2551 12.1337 13.0037 13.8651
11.5668 12.6825 13.8093 14.9474 16.0969
0.0865 0.0788 0.0724 0.0669 0.0621
50.8067 60.5687 71.1126 82.4221 94.4810
56.6835 68.2503 80.9328 94.7421 109.6896
4.9005 5.3815 5.8607 6.3384 6.8143
13.3254 14.8433 16.4212 18.0617 19.7671
17.3035 19.8355 22.5931 25.5965 28.8675
19.2537 22.3407 25.7640 29.5601 33.7696
22.6432 26.7720 31.4730 36.8257 42.9204
26.6802 32.1610 38.5643 46.0454 54.7858
29.7882 36.3820 44.2163 53.5243 64.5833
16 17 18 19 20
1.1726 1.1843 1.1961 1.2081 1.2202
0.8528 0.8444 0.8360 0.8277 0.8195
0.0679 0.0643 0.0610 0.0581 0.0554
14.7179 15.5623 16.3983 17.2260 18.0456
17.2579 18.4304 19.6147 20.8109 22.0190
0.0579 0.0543 0.0510 0.0481 0.0454
107.2734 120.7834 134.9957 149.8950 165.4664
125.7864 143.0443 161.4748 181.0895 201.9004
7.2886 7.7613 8.2323 8.7017 9.1694
21.5400 23.3832 25.2994 27.2914 29.3624
32.4299 36.3098 40.5354 45.1376 50.1498
38.4375 43.6139 49.3540 55.7193 62.7779
49.8598 57.7612 66.7578 77.0015 88.6650
64.9972 76.9275 90.8658 107.1501 126.1754
77.7228 93.3340 111.8819 133.9191 160.1019
21 22 23 24 25
1.2324 1.2447 1.2572 1.2697 1.2824
0.8114 0.8034 0.7954 0.7876 0.7798
0.0530 0.0509 0.0489 0.0471 0.0454
18.8570 19.6604 20.4558 21.2434 22.0232
23.2392 24.4716 25.7163 26.9735 28.2432
0.0430 0.0409 0.0389 0.0371 0.0354
181.6950 198.5663 216.0660 234.1800 252.8945
223.9194 247.1586 271.6302 297.3465 324.3200
9.6354 10.0998 10.5626 11.0237 11.4831
31.5154 33.7536 36.0805 38.4995 41.0143
55.6087 61.5541 68.0292 75.0813 82.7618
70.6052 79.2849 88.9100 99.5834 111.4192
101.9453 117.0665 134.2836 153.8873 176.2083
148.4029 174.3717 204.7115 240.1580 281.5707
191.2102 228.1706 272.0838 324.2580 386.2472
26 27 28 29 30
1.2953 1.3082 1.3213 1.3345 1.3478
0.7720 0.7644 0.7568 0.7493 0.7419
0.0439 0.0424 0.0411 0.0399 0.0387
22.7952 23.5596 24.3164 25.0658 25.8077
29.5256 30.8209 32.1291 33.4504 34.7849
0.0339 0.0324 0.0311 0.0299 0.0287
272.1957 292.0702 312.5047 333.4863 355.0021
352.5631 382.0888 412.9097 445.0388 478.4892
11.9409 12.3971 12.8516 13.3044 13.7557
43.6287 46.3467 49.1723 52.1098 55.1637
91.1267 100.2370 110.1591 120.9654 132.7346
124.5441 139.0984 155.2378 173.1350 192.9814
201.6233 230.5612 263.5103 301.0265 343.7431
329.9539 386.4808 452.5221 529.6793 619.8233
459.8976 547.4031 651.3700 774.8951 921.6575
35 40 45
1.4166 1.4889 1.5648
0.7059 0.6717 0.6391
0.0340 0.0305 0.0277
29.4086 32.8347 36.0945
41.6603 48.8864 56.4811
0.0240 0.0205 0.0177
470.1583 596.8561 733.7037
666.0276 888.6373 1148.1075
15.9871 18.1776 20.3273
72.3458 93.2108 118.5478
209.3101 326.6502 506.4558
329.7455 559.0725 943.6099
664.3607 1356.1056 2189.2689 1277.9385 2958.7881 5190.4036 2452.1654 6447.3839 12295.7434
50 55
1.6446 1.7285
0.6080 0.5785
0.0255 0.0237
39.1961 42.1472
64.4632 72.8525
0.0155 0.0137
879.4176 1446.3182 1032.8148 1785.2457
22.4363 24.5049
149.3156 186.6781
781.9800 1588.4050 4699.3271 14041.0909 29117.9985 1204.1780 2669.6025 8999.8045 30570.4875 68945.5470
60 70 80 90 100
1.8167 2.0068 2.2167 2.4486 2.7048
0.5504 0.4983 0.4511 0.4084 0.3697
0.0222 0.0199 0.0182 0.0169 0.0159
44.9550 50.1685 54.8882 59.1609 63.0289
81.6697 100.6763 121.6715 144.8633 170.4814
0.0122 0.0099 0.0082 0.0069 0.0059
1192.8061 1528.6474 1879.8771 2240.5675 2605.7758
26.5333 30.4703 34.2492 37.8724 41.3426
232.0488 354.0485 533.9514 799.2392 1190.4372
1851.1311 4361.5849 10256.3343 24097.6845 56598.2988
2166.9670 3067.6337 4167.1522 5486.3267 7048.1383
4482.5626 17229.7888 66550.4053 12620.0188 63121.2342 35499.9732 99831.1717
http://www.itson.mx/dii/mconant/ 25%
30%
0.9901 2.2155 3.7320 5.6089 7.9318
0.9901 2.2645 3.9048 6.0161 8.7335
10.8067 14.3648 18.7683 24.2182 30.9631
12.2313 16.7333 22.5281 29.9866 39.5867
39.3108 49.6420 62.4282 78.2528 97.8376
51.9433 67.8478 88.3190 114.6680 148.5826
122.0762 152.0746 189.2012 235.1500 292.0173
192.2350 248.4213 320.7402 413.8241 533.6349
362.3976 449.5020 557.3045 690.7234 855.8458
687.8469 886.3376 1141.8207 1470.6603 1893.9193
1060.2052 1313.1252 1626.1451 2013.5459 2493.0023
2438.7080 3139.9211 4042.4727 5204.1728 6699.4304
(P/A,i,j,n)
7246.7202 23675.9821 21049.8192 83649.4790 61129.0888
Factores de interes discreto capitalizado al : i =
2%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.0200 1.0404 1.0612 1.0824 1.1041
0.9804 0.9612 0.9423 0.9238 0.9057
1.0200 0.5150 0.3468 0.2626 0.2122
0.9804 1.9416 2.8839 3.8077 4.7135
1.0000 2.0200 3.0604 4.1216 5.2040
1.0000 0.4950 0.3268 0.2426 0.1922
0.0000 0.9612 2.8458 5.6173 9.2403
0.0000 1.0000 3.0200 6.0804 10.2020
0.0000 0.4950 0.9868 1.4752 1.9604
0.9804 1.9896 3.0285 4.0980 5.1989
0.9804 2.0377 3.1779 4.4075 5.7336
0.9804 2.0569 3.2390 4.5369 5.9621
0.9804 2.0857 3.3320 4.7370 6.3211
0.9804 2.1146 3.4267 4.9446 6.7006
0.9804 2.1338 3.4907 5.0871 6.9653
6 7 8 9 10
1.1262 1.1487 1.1717 1.1951 1.2190
0.8880 0.8706 0.8535 0.8368 0.8203
0.1785 0.1545 0.1365 0.1225 0.1113
5.6014 6.4720 7.3255 8.1622 8.9826
6.3081 7.4343 8.5830 9.7546 10.9497
0.1585 0.1345 0.1165 0.1025 0.0913
13.6801 18.9035 24.8779 31.5720 38.9551
15.4060 21.7142 29.1485 37.7314 47.4860
2.4423 2.9208 3.3961 3.8681 4.3367
6.3322 7.4989 8.6998 9.9361 11.2087
7.1637 8.7059 10.3692 12.1628 14.0972
7.5270 9.2453 11.1321 13.2039 15.4788
8.1072 10.1208 12.3911 14.9508 17.8367
8.7320 11.0822 13.8009 16.9462 20.5848
9.1748 11.7743 14.8325 18.4304 22.6632
11 12 13 14 15
1.2434 1.2682 1.2936 1.3195 1.3459
0.8043 0.7885 0.7730 0.7579 0.7430
0.1022 0.0946 0.0881 0.0826 0.0778
9.7868 10.5753 11.3484 12.1062 12.8493
12.1687 13.4121 14.6803 15.9739 17.2934
0.0822 0.0746 0.0681 0.0626 0.0578
46.9977 55.6712 64.9475 74.7999 85.2021
58.4358 70.6045 84.0166 98.6969 114.6708
4.8021 5.2642 5.7231 6.1786 6.6309
12.5188 13.8673 15.2556 16.6847 18.1558
16.1832 18.4329 20.8590 23.4754 26.2970
17.9767 20.7195 23.7312 27.0382 30.6694
21.0904 24.7587 28.8947 33.5577 38.8151
24.7942 29.6639 35.2974 41.8146 49.3542
27.6430 33.5016 40.3940 48.5028 58.0425
16 17 18 19 20
1.3728 1.4002 1.4282 1.4568 1.4859
0.7284 0.7142 0.7002 0.6864 0.6730
0.0737 0.0700 0.0667 0.0638 0.0612
13.5777 14.2919 14.9920 15.6785 16.3514
18.6393 20.0121 21.4123 22.8406 24.2974
0.0537 0.0500 0.0467 0.0438 0.0412
96.1288 107.5554 119.4581 131.8139 144.6003
131.9643 150.6035 170.6156 192.0279 214.8685
7.0799 7.5256 7.9681 8.4073 8.8433
19.6702 21.2291 22.8339 24.4859 26.1864
29.3399 32.6214 36.1604 39.9769 44.0927
34.6566 39.0347 43.8420 49.1206 54.9168
44.7425 51.4253 58.9599 67.4548 77.0324
58.0764 68.1668 79.8401 93.3444 108.9670
69.2656 82.4694 98.0032 116.2783 137.7784
21 22 23 24 25
1.5157 1.5460 1.5769 1.6084 1.6406
0.6598 0.6468 0.6342 0.6217 0.6095
0.0588 0.0566 0.0547 0.0529 0.0512
17.0112 17.6580 18.2922 18.9139 19.5235
25.7833 27.2990 28.8450 30.4219 32.0303
0.0388 0.0366 0.0347 0.0329 0.0312
157.7959 171.3795 185.3309 199.6305 214.2592
239.1659 264.9492 292.2482 321.0931 351.5150
9.2760 9.7055 10.1317 10.5547 10.9745
27.9370 29.7391 31.5942 33.5038 35.4696
48.5313 53.3181 58.4803 64.0474 70.0511
61.2812 68.2695 75.9430 84.3688 93.6206
87.8306 100.0051 113.7313 129.2068 146.6548
127.0403 147.9486 172.1366 200.1188 232.4904
163.0726 192.8305 227.8398 269.0272 317.4830
26 27 28 29 30
1.6734 1.7069 1.7410 1.7758 1.8114
0.5976 0.5859 0.5744 0.5631 0.5521
0.0497 0.0483 0.0470 0.0458 0.0446
20.1210 20.7069 21.2813 21.8444 22.3965
33.6709 35.3443 37.0512 38.7922 40.5681
0.0297 0.0283 0.0270 0.0258 0.0246
229.1987 244.4311 259.9392 275.7064 291.7164
383.5453 417.2162 452.5605 489.6117 528.4040
11.3910 11.8043 12.2145 12.6214 13.0251
37.4932 39.5763 41.7207 43.9282 46.2006
76.5257 83.5081 91.0381 99.1588 107.9163
103.7795 114.9344 127.1829 140.6322 155.4000
166.3264 188.5053 213.5109 241.7034 273.4892
269.9399 313.2638 363.3836 421.3653 488.4422
374.4898 441.5566 520.4588 613.2848 722.4920
35 40 45
1.9999 2.2080 2.4379
0.5000 0.4529 0.4102
0.0400 0.0366 0.0339
24.9986 27.3555 29.4902
49.9945 60.4020 71.8927
0.0200 0.0166 0.0139
374.8826 461.9931 551.5652
749.7239 1020.0992 1344.6355
14.9961 16.8885 18.7034
58.6053 72.9448 89.5207
163.1499 243.7185 361.2430
254.0127 411.4189 662.6719
504.5495 1018.7981 1635.2801 925.4833 2117.7448 3692.4748 1692.3187 4394.8640 8328.8732
50 55
2.6916 2.9717
0.3715 0.3365
0.0318 0.0301
31.4236 33.1748
84.5794 98.5865
0.0118 0.0101
642.3606 733.3527
1728.9701 2179.3267
20.4420 22.1057
108.6820 130.8317
532.6747 782.7401
60 70 80 90 100
3.2810 3.9996 4.8754 5.9431 7.2446
0.3048 0.2500 0.2051 0.1683 0.1380
0.0288 0.0267 0.0252 0.0240 0.0232
34.7609 37.4986 39.7445 41.5869 43.0984
114.0515 149.9779 193.7720 247.1567 312.2323
0.0088 0.0067 0.0052 0.0040 0.0032
823.6975 999.8343 1166.7868 1322.1701 1464.7527
2702.5770 3998.8956 5688.5979 7857.8328 10611.6153
23.6961 26.6632 29.3572 31.7929 33.9863
156.4362 1147.5076 220.2482 2455.7318 305.5178 5239.3351 419.4602 11162.2089 571.7170 23764.7351
1063.7237 3089.2996 9113.2661 18778.1473 1703.8855 5634.2471 18890.2326 42328.1788 2725.7163 10270.5006 39149.0134 95404.0174 6960.2694 34103.2290 17749.3911 45238.7495
http://www.itson.mx/dii/mconant/ 25%
30%
0.9804 2.1819 3.6542 5.4586 7.6699
0.9804 2.2299 3.8224 5.8521 8.4390
10.3797 13.7007 17.7704 22.7579 28.8700
11.7360 15.9380 21.2935 28.1192 36.8186
36.3602 45.5395 56.7886 70.5743 87.4685
47.9060 62.0371 80.0473 103.0014 132.2567
108.1721 133.5443 164.6376 202.7422 249.4390
169.5428 217.0644 277.6311 354.8239 453.2070
306.6654 376.7958 462.7400 568.0637 697.1369
578.5971 738.4081 942.0888 1201.6818 1532.5356
855.3148 1049.1603 1286.7160 1577.8383 1934.6057
1954.2121 2491.6428 3176.6036 4049.5928 5162.2262
(P/A,i,j,n)
5355.0576 17368.5673 14809.4296 58417.4560 40941.9857
Factores de interes discreto capitalizado al : i =
3%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.0300 1.0609 1.0927 1.1255 1.1593
0.9709 0.9426 0.9151 0.8885 0.8626
1.0300 0.5226 0.3535 0.2690 0.2184
0.9709 1.9135 2.8286 3.7171 4.5797
1.0000 2.0300 3.0909 4.1836 5.3091
1.0000 0.4926 0.3235 0.2390 0.1884
0.0000 0.9426 2.7729 5.4383 8.8888
0.0000 1.0000 3.0300 6.1209 10.3045
0.0000 0.4926 0.9803 1.4631 1.9409
0.9709 1.9606 2.9695 3.9981 5.0466
0.9709 2.0077 3.1151 4.2976 5.5606
0.9709 2.0266 3.1745 4.4228 5.7801
0.9709 2.0549 3.2651 4.6164 6.1251
0.9709 2.0831 3.3574 4.8172 6.4896
0.9709 2.1020 3.4198 4.9551 6.7438
6 7 8 9 10
1.1941 1.2299 1.2668 1.3048 1.3439
0.8375 0.8131 0.7894 0.7664 0.7441
0.1846 0.1605 0.1425 0.1284 0.1172
5.4172 6.2303 7.0197 7.7861 8.5302
6.4684 7.6625 8.8923 10.1591 11.4639
0.1546 0.1305 0.1125 0.0984 0.0872
13.0762 17.9547 23.4806 29.6119 36.3088
15.6137 22.0821 29.7445 38.6369 48.7960
2.4138 2.8819 3.3450 3.8032 4.2565
6.1155 7.2051 8.3158 9.4482 10.6025
6.9093 8.3498 9.8881 11.5310 13.2855
7.2561 8.8610 10.6061 12.5037 14.5671
7.8096 9.6903 11.7902 14.1347 16.7523
8.4056 10.6005 13.1152 15.9960 19.2964
8.8277 11.2556 14.0842 17.3797 21.2190
11 12 13 14 15
1.3842 1.4258 1.4685 1.5126 1.5580
0.7224 0.7014 0.6810 0.6611 0.6419
0.1081 0.1005 0.0940 0.0885 0.0838
9.2526 9.9540 10.6350 11.2961 11.9379
12.8078 14.1920 15.6178 17.0863 18.5989
0.0781 0.0705 0.0640 0.0585 0.0538
43.5330 51.2482 59.4196 68.0141 77.0002
60.2599 73.0677 87.2597 102.8775 119.9638
4.7049 5.1485 5.5872 6.0210 6.4500
11.7793 12.9789 14.2018 15.4484 16.7192
15.1593 17.1604 19.2976 21.5799 24.0174
16.8109 19.2507 21.9036 24.7884 27.9253
19.6749 22.9380 26.5812 30.6490 35.1906
23.0775 27.4091 32.3716 38.0568 44.5700
25.6921 30.9034 36.9748 44.0483 52.2893
16 17 18 19 20
1.6047 1.6528 1.7024 1.7535 1.8061
0.6232 0.6050 0.5874 0.5703 0.5537
0.0796 0.0760 0.0727 0.0698 0.0672
12.5611 13.1661 13.7535 14.3238 14.8775
20.1569 21.7616 23.4144 25.1169 26.8704
0.0496 0.0460 0.0427 0.0398 0.0372
86.3477 96.0280 106.0137 116.2788 126.7987
138.5627 158.7196 180.4812 203.8956 229.0125
6.8742 7.2936 7.7081 8.1179 8.5229
18.0148 19.3354 20.6818 22.0542 23.4533
26.6205 29.4005 32.3695 35.5402 38.9265
31.3362 35.0452 39.0783 43.4638 48.2324
40.2613 45.9228 52.2440 59.3015 67.1813
52.0316 60.5799 70.3731 81.5925 94.4457
61.8904 73.0762 86.1082 101.2912 118.9800
21 22 23 24 25
1.8603 1.9161 1.9736 2.0328 2.0938
0.5375 0.5219 0.5067 0.4919 0.4776
0.0649 0.0627 0.0608 0.0590 0.0574
15.4150 15.9369 16.4436 16.9355 17.4131
28.6765 30.5368 32.4529 34.4265 36.4593
0.0349 0.0327 0.0308 0.0290 0.0274
137.5496 148.5094 159.6566 170.9711 182.4336
255.8829 284.5593 315.0961 347.5490 381.9755
8.9231 9.3186 9.7093 10.0954 10.4768
24.8796 26.3336 27.8158 29.3268 30.8671
42.5428 46.4050 50.5296 54.9345 59.6388
53.4178 59.0562 65.1874 71.8542 79.1036
75.9791 85.8019 96.7691 109.0141 122.6856
109.1708 126.0404 145.3666 167.5074 192.8726
139.5883 163.5981 191.5706 224.1599 262.1280
26 27 28 29 30
2.1566 2.2213 2.2879 2.3566 2.4273
0.4637 0.4502 0.4371 0.4243 0.4120
0.0559 0.0546 0.0533 0.0521 0.0510
17.8768 18.3270 18.7641 19.1885 19.6004
38.5530 40.7096 42.9309 45.2189 47.5754
0.0259 0.0246 0.0233 0.0221 0.0210
194.0260 205.7309 217.5320 229.4137 241.3613
418.4347 456.9878 497.6974 540.6283 585.8472
10.8535 11.2255 11.5930 11.9558 12.3141
32.4373 34.0381 35.6699 37.3334 39.0292
64.6628 70.0282 75.7583 81.8778 88.4132
86.9865 95.5581 104.8787 115.0137 126.0343
137.9500 154.9927 174.0210 195.2661 218.9864
221.9317 255.2227 293.3619 337.0554 387.1120
306.3627 357.8983 417.9398 487.8911 569.3876
35 40 45
2.8139 3.2620 3.7816
0.3554 0.3066 0.2644
0.0465 0.0433 0.0408
21.4872 23.1148 24.5187
60.4621 75.4013 92.7199
0.0165 0.0133 0.0108
301.6267 361.7499 420.6325
848.7361 1180.0420 1590.6620
14.0375 15.6502 17.1556
48.0150 57.9078 68.7992
128.3877 183.9219 261.0723
197.3790 305.8379 470.7184
386.0698 770.4319 1228.9040 675.9617 1526.8908 2644.5208 1178.9284 3019.7168 5683.0666
50 55
4.3839 5.0821
0.2281 0.1968
0.0389 0.0373
25.7298 26.7744
112.7969 136.0716
0.0089 0.0073
477.4803 531.7411
2093.2289 2702.3873
18.5575 19.8600
80.7898 93.9906
368.2526 517.1519
60 70 80 90 100
5.8916 7.9178 10.6409 14.3005 19.2186
0.1697 0.1263 0.0940 0.0699 0.0520
0.0361 0.0343 0.0331 0.0323 0.0316
27.6756 29.1234 30.2008 31.0024 31.5989
163.0534 230.5941 321.3630 443.3489 607.2877
0.0061 0.0043 0.0031 0.0023 0.0016
583.0526 3435.1146 676.0869 5353.1355 756.0865 8045.4340 823.6302 11778.2968 879.8540 16909.5911
21.0674 23.2145 25.0353 26.5667 27.8444
108.5238 724.0087 142.1389 1410.6136 182.8820 2735.7529 232.2648 5293.2558 292.1192 10229.2056
721.3716 2051.5828 5965.7194 12205.1434 1102.4175 3565.6508 11779.4784 26204.4334 1681.6878 6192.5804 23252.5828 56253.1631 3901.0195 18658.1217 90575.6707 9029.9900 56182.8277 20883.2602 48276.6742
http://www.itson.mx/dii/mconant/ 25%
30%
0.9709 2.1491 3.5790 5.3144 7.4203
0.9709 2.1962 3.7428 5.6948 8.1585
9.9761 13.0778 16.8420 21.4102 26.9542
11.2681 15.1927 20.1461 26.3980 34.2888
33.6822 41.8474 51.7565 63.7822 78.3764
44.2480 56.8178 72.6827 92.7063 117.9788
96.0879 117.5824 143.6680 175.3252 213.7442
149.8762 190.1350 240.9470 305.0788 386.0218
260.3691 316.9528 385.6224 468.9592 570.0961
488.1828 617.1239 779.8652 985.2667 1244.5114
692.8351 841.7901 1022.5608 1241.9428 1508.1830
1571.7134 1984.6868 2505.9154 3163.7767 3994.0871
(P/A,i,j,n)
3977.6714 12800.4448 10478.5334 41005.5003 27591.8775
72642.2956
Factores de interes discreto capitalizado al : i =
4%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.0400 1.0816 1.1249 1.1699 1.2167
0.9615 0.9246 0.8890 0.8548 0.8219
1.0400 0.5302 0.3603 0.2755 0.2246
0.9615 1.8861 2.7751 3.6299 4.4518
1.0000 2.0400 3.1216 4.2465 5.4163
1.0000 0.4902 0.3203 0.2355 0.1846
0.0000 0.9246 2.7025 5.2670 8.5547
0.0000 1.0000 3.0400 6.1616 10.4081
0.0000 0.4902 0.9739 1.4510 1.9216
0.9615 1.9323 2.9124 3.9020 4.9010
0.9615 1.9786 3.0542 4.1920 5.3954
0.9615 1.9970 3.1122 4.3131 5.6065
0.9615 2.0248 3.2005 4.5005 5.9381
0.9615 2.0525 3.2904 4.6948 6.2884
0.9615 2.0710 3.3512 4.8283 6.5326
6 7 8 9 10
1.2653 1.3159 1.3686 1.4233 1.4802
0.7903 0.7599 0.7307 0.7026 0.6756
0.1908 0.1666 0.1485 0.1345 0.1233
5.2421 6.0021 6.7327 7.4353 8.1109
6.6330 7.8983 9.2142 10.5828 12.0061
0.1508 0.1266 0.1085 0.0945 0.0833
12.5062 17.0657 22.1806 27.8013 33.8814
15.8244 22.4574 30.3557 39.5699 50.1527
2.3857 2.8433 3.2944 3.7391 4.1773
5.9097 6.9281 7.9562 8.9943 10.0423
6.6682 8.0144 9.4383 10.9444 12.5373
6.9993 8.4992 10.1145 11.8541 13.7275
7.5277 9.2854 11.2291 13.3783 15.7549
8.0964 10.1478 12.4754 15.1164 18.1128
8.4992 10.7683 13.3865 16.4075 19.8932
11 12 13 14 15
1.5395 1.6010 1.6651 1.7317 1.8009
0.6496 0.6246 0.6006 0.5775 0.5553
0.1141 0.1066 0.1001 0.0947 0.0899
8.7605 9.3851 9.9856 10.5631 11.1184
13.4864 15.0258 16.6268 18.2919 20.0236
0.0741 0.0666 0.0601 0.0547 0.0499
40.3772 47.2477 54.4546 61.9618 69.7355
62.1588 75.6451 90.6709 107.2978 125.5897
4.6090 5.0343 5.4533 5.8659 6.2721
11.1004 12.1687 13.2472 14.3361 15.4355
14.2222 16.0042 17.8891 19.8827 21.9913
15.7450 17.9177 20.2575 22.7773 25.4910
18.3828 21.2886 24.5019 28.0549 31.9838
21.5126 25.3701 29.7468 34.7127 40.3471
23.9153 28.5561 33.9108 40.0894 47.2186
16 17 18 19 20
1.8730 1.9479 2.0258 2.1068 2.1911
0.5339 0.5134 0.4936 0.4746 0.4564
0.0858 0.0822 0.0790 0.0761 0.0736
11.6523 12.1657 12.6593 13.1339 13.5903
21.8245 23.6975 25.6454 27.6712 29.7781
0.0458 0.0422 0.0390 0.0361 0.0336
77.7441 85.9581 94.3498 102.8933 111.5647
145.6133 167.4378 191.1353 216.7807 244.4520
6.6720 7.0656 7.4530 7.8342 8.2091
16.5455 17.6661 18.7975 19.9398 21.0930
24.2216 26.5805 29.0755 31.7145 34.5057
28.4133 31.5605 34.9498 38.5998 42.5305
36.3283 41.1322 46.4443 52.3182 58.8134
46.7400 53.9935 62.2234 71.5611 82.1559
55.4445 64.9360 75.8877 88.5242 103.1049
21 22 23 24 25
2.2788 2.3699 2.4647 2.5633 2.6658
0.4388 0.4220 0.4057 0.3901 0.3751
0.0713 0.0692 0.0673 0.0656 0.0640
14.0292 14.4511 14.8568 15.2470 15.6221
31.9692 34.2480 36.6179 39.0826 41.6459
0.0313 0.0292 0.0273 0.0256 0.0240
120.3414 129.2024 138.1284 147.1012 156.1040
274.2300 306.1992 340.4472 377.0651 416.1477
8.5779 8.9407 9.2973 9.6479 9.9925
22.2574 23.4330 24.6198 25.8181 27.0279
37.4580 40.5805 43.8833 47.3765 51.0713
46.7636 51.3224 56.2318 61.5189 67.2126
65.9956 73.9374 82.7193 92.4300 103.1677
94.1769 107.8161 123.2913 140.8497 160.7718
119.9287 139.3408 161.7394 187.5839 217.4045
26 27 28 29 30
2.7725 2.8834 2.9987 3.1187 3.2434
0.3607 0.3468 0.3335 0.3207 0.3083
0.0626 0.0612 0.0600 0.0589 0.0578
15.9828 16.3296 16.6631 16.9837 17.2920
44.3117 47.0842 49.9676 52.9663 56.0849
0.0226 0.0212 0.0200 0.0189 0.0178
165.1212 174.1385 183.1424 192.1206 201.0618
457.7936 502.1054 549.1896 599.1572 652.1234
10.3312 10.6640 10.9909 11.3120 11.6274
28.2493 29.4825 30.7275 31.9845 33.2536
54.9793 59.1127 63.4846 68.1087 72.9996
73.3444 79.9478 87.0591 94.7175 102.9650
115.0413 128.1706 142.6887 158.7423 176.4939
183.3757 209.0225 238.1216 271.1380 308.5989
251.8129 291.5149 337.3249 390.1826 451.1722
35 40 45
3.9461 4.8010 5.8412
0.2534 0.2083 0.1712
0.0536 0.0505 0.0483
18.6646 19.7928 20.7200
73.6522 95.0255 121.0294
0.0136 0.0105 0.0083
244.8768 286.5303 325.4028
966.3056 1375.6379 1900.7348
13.1198 14.4765 15.7047
39.7844 46.6353 53.8219
102.0265 140.4501 191.3123
154.7530 229.7687 338.4302
297.7158 498.1186 829.4222
586.5685 929.2779 1109.2542 1907.1082 2092.0968 3906.9840
50 55
7.1067 8.6464
0.1407 0.1157
0.0466 0.0452
21.4822 22.1086
152.6671 191.1592
0.0066 0.0052
361.1638 393.6890
2566.6771 3403.9793
16.8122 17.8070
61.3608 69.2691
258.6396 347.7622
495.8282 723.8217
1377.1298 3940.2047 7997.1653 2282.5938 7415.3315 16362.4764
60 70 80 90 100
10.5196 15.5716 23.0498 34.1193 50.5049
0.0951 0.0642 0.0434 0.0293 0.0198
0.0442 0.0427 0.0418 0.0412 0.0408
22.6235 23.3945 23.9154 24.2673 24.5050
237.9907 364.2905 551.2450 827.9833 1237.6237
0.0042 0.0027 0.0018 0.0012 0.0008
422.9966 4449.7671 472.4789 7357.2615 511.1161 11781.1244 540.7369 18449.5833 563.1249 28440.5926
18.6972 20.1961 21.3718 22.2826 22.9800
77.5651 95.3967 115.0190 136.6118 160.3730
465.7358 828.6179 1464.4744 2578.6471 4530.9446
1054.0741 2225.3854 4683.0307 9839.6614 20659.3026
3779.4971 13949.8561 33471.3582 10345.2483 49341.8990 28289.6687 77332.3769
http://www.itson.mx/dii/mconant/ 25%
30%
0.9615 2.1172 3.5063 5.1758 7.1825
0.9615 2.1635 3.6659 5.5439 7.8914
9.5943 12.4932 15.9774 20.1651 25.1985
10.8258 14.4937 19.0787 24.8099 31.9739
31.2482 38.5194 47.2589 57.7632 70.3884
40.9290 52.1228 66.1150 83.6053 105.4681
85.5630 103.8017 125.7232 152.0711 183.7393
132.7967 166.9574 209.6583 263.0344 329.7545
221.8021 267.5506 322.5367 388.6259 468.0600
413.1547 517.4049 647.7177 810.6086 1014.2223
563.5336 678.2856 816.2086 981.9815 1181.2278
1268.7394 1586.8858 1984.5688 2481.6725 3103.0522
(P/A,i,j,n)
2970.0827 9477.6551 7457.1077 28931.3994 18712.0132 88299.5155
46942.9457
Factores de interes discreto capitalizado al : i =
5%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.0500 1.1025 1.1576 1.2155 1.2763
0.9524 0.9070 0.8638 0.8227 0.7835
1.0500 0.5378 0.3672 0.2820 0.2310
0.9524 1.8594 2.7232 3.5460 4.3295
1.0000 2.0500 3.1525 4.3101 5.5256
1.0000 0.4878 0.3172 0.2320 0.1810
0.0000 0.9070 2.6347 5.1028 8.2369
0.0000 1.0000 3.0500 6.2025 10.5126
0.0000 0.4878 0.9675 1.4391 1.9025
0.9524 1.9048 2.8571 3.8095 4.7619
0.9524 1.9501 2.9954 4.0904 5.2375
0.9524 1.9683 3.0519 4.2077 5.4406
0.9524 1.9955 3.1379 4.3891 5.7595
0.9524 2.0227 3.2255 4.5772 6.0963
0.9524 2.0408 3.2847 4.7064 6.3311
6 7 8 9 10
1.3401 1.4071 1.4775 1.5513 1.6289
0.7462 0.7107 0.6768 0.6446 0.6139
0.1970 0.1728 0.1547 0.1407 0.1295
5.0757 5.7864 6.4632 7.1078 7.7217
6.8019 8.1420 9.5491 11.0266 12.5779
0.1470 0.1228 0.1047 0.0907 0.0795
11.9680 16.2321 20.9700 26.1268 31.6520
16.0383 22.8402 30.9822 40.5313 51.5579
2.3579 2.8052 3.2445 3.6758 4.0991
5.7143 6.6667 7.6190 8.5714 9.5238
6.4393 7.6983 9.0173 10.3991 11.8467
6.7557 8.1584 9.6547 11.2507 12.9532
7.2604 8.9043 10.7047 12.6765 14.8362
7.8035 9.7220 11.8780 14.3010 17.0240
8.1879 10.3100 12.7352 15.5069 18.6746
11 12 13 14 15
1.7103 1.7959 1.8856 1.9799 2.0789
0.5847 0.5568 0.5303 0.5051 0.4810
0.1204 0.1128 0.1065 0.1010 0.0963
8.3064 8.8633 9.3936 9.8986 10.3797
14.2068 15.9171 17.7130 19.5986 21.5786
0.0704 0.0628 0.0565 0.0510 0.0463
37.4988 43.6241 49.9879 56.5538 63.2880
64.1357 78.3425 94.2597 111.9726 131.5713
4.5144 4.9219 5.3215 5.7133 6.0973
10.4762 11.4286 12.3810 13.3333 14.2857
13.3632 14.9519 16.6163 18.3599 20.1866
14.7691 16.7061 18.7722 20.9761 23.3268
17.2016 19.7922 22.6295 25.7371 29.1407
20.0841 23.5231 27.3879 31.7311 36.6121
22.2948 26.4321 31.1605 36.5644 42.7403
16 17 18 19 20
2.1829 2.2920 2.4066 2.5270 2.6533
0.4581 0.4363 0.4155 0.3957 0.3769
0.0923 0.0887 0.0855 0.0827 0.0802
10.8378 11.2741 11.6896 12.0853 12.4622
23.6575 25.8404 28.1324 30.5390 33.0660
0.0423 0.0387 0.0355 0.0327 0.0302
70.1597 77.1405 84.2043 91.3275 98.4884
153.1498 176.8073 202.6477 230.7801 261.3191
6.4736 6.8423 7.2034 7.5569 7.9030
15.2381 16.1905 17.1429 18.0952 19.0476
22.1002 24.1050 26.2052 28.4055 30.7105
25.8343 28.5090 31.3620 34.4052 37.6512
32.8683 36.9510 41.4226 46.3200 51.6838
42.0974 48.2619 55.1896 62.9749 71.7242
49.7984 57.8648 67.0836 77.6194 89.6603
21 22 23 24 25
2.7860 2.9253 3.0715 3.2251 3.3864
0.3589 0.3418 0.3256 0.3101 0.2953
0.0780 0.0760 0.0741 0.0725 0.0710
12.8212 13.1630 13.4886 13.7986 14.0939
35.7193 38.5052 41.4305 44.5020 47.7271
0.0280 0.0260 0.0241 0.0225 0.0210
105.6673 112.8461 120.0087 127.1402 134.2275
294.3850 330.1043 368.6095 410.0400 454.5420
8.2416 8.5730 8.8971 9.2140 9.5238
20.0000 20.9524 21.9048 22.8571 23.8095
33.1253 35.6550 38.3053 41.0817 43.9904
41.1137 44.8070 48.7465 52.9487 57.4309
57.5584 63.9925 71.0394 78.7575 87.2106
81.5567 92.6066 105.0246 118.9800 134.6632
103.4212 119.1481 137.1216 157.6628 181.1384
26 27 28 29 30
3.5557 3.7335 3.9201 4.1161 4.3219
0.2812 0.2678 0.2551 0.2429 0.2314
0.0696 0.0683 0.0671 0.0660 0.0651
14.3752 14.6430 14.8981 15.1411 15.3725
51.1135 54.6691 58.4026 62.3227 66.4388
0.0196 0.0183 0.0171 0.0160 0.0151
141.2585 148.2226 155.1101 161.9126 168.6226
502.2691 553.3825 608.0517 666.4542 728.7770
9.8266 10.1224 10.4114 10.6936 10.9691
24.7619 25.7143 26.6667 27.6190 28.5714
47.0375 50.2298 53.5741 57.0776 60.7480
62.2121 67.3119 72.7517 78.5542 84.7436
96.4687 106.6086 117.7142 129.8774 143.1991
152.2882 172.0953 194.3547 219.3701 247.4826
207.9677 238.6298 273.6722 313.7206 359.4902
35 40 45
5.5160 7.0400 8.9850
0.1813 0.1420 0.1113
0.0611 0.0583 0.0563
16.3742 17.1591 17.7741
90.3203 120.7998 159.7002
0.0111 0.0083 0.0063
200.5807 229.5452 255.3145
1106.4061 1615.9955 2294.0031
12.2498 13.3775 14.3644
33.3333 38.0952 42.8571
81.8940 108.5776 142.2491
122.4580 174.5356 246.4464
231.4343 370.4886 589.6314
449.7132 707.2161 812.2154 1385.1647 1462.0071 2706.9366
50 55
11.4674 14.6356
0.0872 0.0683
0.0548 0.0537
18.2559 18.6335
209.3480 272.7126
0.0048 0.0037
277.9148 297.5104
3186.9599 4354.2524
15.2233 15.9664
47.6190 52.3810
184.7384 238.3546
345.7438 482.8578
934.9897 2626.7704 5283.9475 1479.2574 4714.6297 10308.2524
60 70 80 90 100
18.6792 30.4264 49.5614 80.7304 131.5013
0.0535 0.0329 0.0202 0.0124 0.0076
0.0528 0.0517 0.0510 0.0506 0.0504
18.9293 19.3427 19.5965 19.7523 19.8479
353.5837 588.5285 971.2288 1594.6073 2610.0252
0.0028 0.0017 0.0010 0.0006 0.0004
314.3432 340.8409 359.6460 372.7488 381.7492
5871.6744 10370.5702 17824.5764 30092.1460 50200.5031
16.6062 17.6212 18.3526 18.8712 19.2337
57.1429 66.6667 76.1905 85.7143 95.2381
306.0117 499.1191 806.6104 1296.2390 2075.8906
672.1903 1294.6328 2481.4572 4744.4007 9059.2033
2336.9967 8457.1553 20103.9580 5819.0515 27190.8873 76437.6195 14467.1576 87384.6353 35945.7801 89290.5489
http://www.itson.mx/dii/mconant/ 25%
30%
0.9524 2.0862 3.4359 5.0428 6.9557
0.9524 2.1315 3.5914 5.3989 7.6367
9.2329 11.9440 15.1714 19.0136 23.5876
10.4074 13.8377 18.0847 23.3430 29.8533
29.0328 35.5153 43.2324 52.4196 63.3566
37.9136 47.8930 60.2485 75.5457 94.4852
76.3770 91.8773 110.3301 132.2978 158.4498
117.9340 146.9659 182.9102 227.4126 282.5108
189.5830 226.6465 270.7696 323.2972 385.8300
350.7277 435.1867 539.7549 669.2204 829.5110
460.2738 548.8973 654.4016 780.0019 929.5261
1027.9660 1273.6722 1577.8798 1954.5179 2420.8316
(P/A,i,j,n)
2229.5753 7050.2664 5338.1647 20518.1152 12771.2126 59698.4821
30544.6122 73043.1583
Factores de interes discreto capitalizado al : i =
6%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.0600 1.1236 1.1910 1.2625 1.3382
0.9434 0.8900 0.8396 0.7921 0.7473
1.0600 0.5454 0.3741 0.2886 0.2374
0.9434 1.8334 2.6730 3.4651 4.2124
1.0000 2.0600 3.1836 4.3746 5.6371
1.0000 0.4854 0.3141 0.2286 0.1774
0.0000 0.8900 2.5692 4.9455 7.9345
0.0000 1.0000 3.0600 6.2436 10.6182
0.0000 0.4854 0.9612 1.4272 1.8836
0.9434 1.8779 2.8036 3.7205 4.6288
0.9434 1.9224 2.9383 3.9926 5.0867
0.9434 1.9402 2.9934 4.1062 5.2821
0.9434 1.9669 3.0773 4.2820 5.5889
0.9434 1.9936 3.1627 4.4641 5.9129
0.9434 2.0114 3.2204 4.5892 6.1387
6 7 8 9 10
1.4185 1.5036 1.5938 1.6895 1.7908
0.7050 0.6651 0.6274 0.5919 0.5584
0.2034 0.1791 0.1610 0.1470 0.1359
4.9173 5.5824 6.2098 6.8017 7.3601
6.9753 8.3938 9.8975 11.4913 13.1808
0.1434 0.1191 0.1010 0.0870 0.0759
11.4594 15.4497 19.8416 24.5768 29.6023
16.2553 23.2306 31.6245 41.5219 53.0132
2.3304 2.7676 3.1952 3.6133 4.0220
5.5285 6.4198 7.3026 8.1771 9.0434
6.2220 7.4002 8.6229 9.8916 11.2083
6.5245 7.8372 9.2242 10.6897 12.2382
7.0069 8.5452 10.2141 12.0247 13.9891
7.5257 9.3210 11.3196 13.5445 16.0212
7.8929 9.8787 12.1268 14.6719 17.5531
11 12 13 14 15
1.8983 2.0122 2.1329 2.2609 2.3966
0.5268 0.4970 0.4688 0.4423 0.4173
0.1268 0.1193 0.1130 0.1076 0.1030
7.8869 8.3838 8.8527 9.2950 9.7122
14.9716 16.8699 18.8821 21.0151 23.2760
0.0668 0.0593 0.0530 0.0476 0.0430
34.8702 40.3369 45.9629 51.7128 57.5546
66.1940 81.1657 98.0356 116.9178 137.9328
4.4213 4.8113 5.1920 5.5635 5.9260
9.9015 10.7514 11.5934 12.4274 13.2536
12.5747 13.9926 15.4640 16.9909 18.5755
13.8743 15.6030 17.4296 19.3596 21.3988
16.1202 18.4323 20.9407 23.6621 26.6146
18.7783 21.8476 25.2643 29.0678 33.3019
20.8148 24.5073 28.6876 33.4199 38.7772
16 17 18 19 20
2.5404 2.6928 2.8543 3.0256 3.2071
0.3936 0.3714 0.3503 0.3305 0.3118
0.0990 0.0954 0.0924 0.0896 0.0872
10.1059 10.4773 10.8276 11.1581 11.4699
25.6725 28.2129 30.9057 33.7600 36.7856
0.0390 0.0354 0.0324 0.0296 0.0272
63.4592 69.4011 75.3569 81.3062 87.2304
161.2088 186.8813 215.0942 245.9999 279.7599
6.2794 6.6240 6.9597 7.2867 7.6051
14.0720 14.8826 15.6856 16.4810 17.2689
20.2199 21.9263 23.6971 25.5347 27.4417
23.5534 25.8301 28.2355 30.7772 33.4627
29.8177 33.2928 37.0629 41.1532 45.5907
38.0153 43.2623 49.1033 55.6056 62.8440
44.8421 51.7081 59.4809 68.2802 78.2417
21 22 23 24 25
3.3996 3.6035 3.8197 4.0489 4.2919
0.2942 0.2775 0.2618 0.2470 0.2330
0.0850 0.0830 0.0813 0.0797 0.0782
11.7641 12.0416 12.3034 12.5504 12.7834
39.9927 43.3923 46.9958 50.8156 54.8645
0.0250 0.0230 0.0213 0.0197 0.0182
93.1136 98.9412 104.7007 110.3812 115.9732
316.5454 356.5382 399.9305 446.9263 497.7419
7.9151 8.2166 8.5099 8.7951 9.0722
18.0494 18.8225 19.5883 20.3469 21.0984
29.4206 31.4742 33.6053 35.8168 38.1118
36.3002 39.2983 42.4661 45.8133 49.3499
50.4050 55.6281 61.2946 67.4423 74.1119
70.9018 79.8718 89.8573 100.9732 113.3475
89.5190 102.2856 116.7384 133.1001 151.6228
26 27 28 29 30
4.5494 4.8223 5.1117 5.4184 5.7435
0.2198 0.2074 0.1956 0.1846 0.1741
0.0769 0.0757 0.0746 0.0736 0.0726
13.0032 13.2105 13.4062 13.5907 13.7648
59.1564 63.7058 68.5281 73.6398 79.0582
0.0169 0.0157 0.0146 0.0136 0.0126
121.4684 126.8600 132.1420 137.3096 142.3588
552.6064 611.7628 675.4685 743.9966 817.6364
9.3414 9.6029 9.8568 10.1032 10.3422
21.8427 22.5801 23.3105 24.0339 24.7506
40.4934 42.9648 45.5295 48.1910 50.9529
53.0866 57.0349 61.2067 65.6147 70.2721
81.3478 89.1981 97.7149 106.9549 116.9793
127.1227 142.4574 159.5280 178.5312 199.6857
172.5918 196.3304 223.2042 253.6274 288.0687
35 40 45
7.6861 10.2857 13.7646
0.1301 0.0972 0.0727
0.0690 0.0665 0.0647
14.4982 15.0463 15.4558
111.4348 154.7620 212.7435
0.0090 0.0065 0.0047
165.7427 185.9568 203.1096
1273.9130 1912.6994 2795.7252
11.4319 12.3590 13.1413
28.2338 31.5557 34.7239
66.4068 85.0051 107.3875
97.8251 134.1103 181.8952
181.4092 278.2476 423.7959
347.2847 541.7787 599.6119 1013.5315 1030.9768 1890.7168
50 55
18.4202 24.6503
0.0543 0.0406
0.0634 0.0625
15.7619 15.9905
290.3359 394.1720
0.0034 0.0025
217.4574 229.3222
4005.5984 5652.8671
13.7964 14.3411
37.7454 40.6270
134.3239 166.7411
244.8243 327.6971
60 70 80 90 100
32.9877 59.0759 105.7960 189.4645 339.3021
0.0303 0.0169 0.0095 0.0053 0.0029
0.0619 0.0610 0.0606 0.0603 0.0602
16.1614 16.3845 16.5091 16.5787 16.6175
533.1282 967.9322 1746.5999 3141.0752 5638.3681
0.0019 0.0010 0.0006 0.0003 0.0002
239.0428 253.3271 262.5493 268.3946 272.0471
7885.4697 14965.5362 27776.6649 50851.2531 92306.1343
14.7909 15.4613 15.9033 16.1891 16.3711
43.3753 48.4961 53.1538 57.3902 61.2436
205.7540 309.2084 459.0448 676.0578 990.3646
436.8343 769.8352 1347.3552 2348.9421 4085.9835
642.5554 971.3517
1768.4148 3521.7706 3029.0987 6554.5804
1465.5335 5184.2955 12193.8398 3324.6562 15167.3654 42176.9408 7524.4483 44343.3510 17011.8555 38444.0823
http://www.itson.mx/dii/mconant/ 25%
30%
0.9434 2.0559 3.3678 4.9149 6.7392
0.9434 2.1004 3.5193 5.2596 7.3938
8.8906 11.4276 14.4193 17.9473 22.1077
10.0113 13.2214 17.1583 21.9866 27.9081
27.0138 32.7992 39.6217 47.6672 57.1547
35.1703 44.0768 54.9999 68.3961 84.8254
68.3428 81.5363 97.0947 115.4418 137.0776
104.9745 129.6857 159.9919 197.1599 242.7432
162.5915 192.6787 228.1588 269.9986 319.3380
298.6474 367.2090 451.2941 554.4173 680.8891
377.5213 446.1336 527.0443 622.4579 734.9739
835.9961 1026.2216 1259.5171 1545.6341 1896.5324
(P/A,i,j,n)
1682.8112 5269.3559 3844.3076 14627.3127 8773.4942 40591.1259
20014.2626 45648.2838
Factores de interes discreto capitalizado al : i =
7%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.0700 1.1449 1.2250 1.3108 1.4026
0.9346 0.8734 0.8163 0.7629 0.7130
1.0700 0.5531 0.3811 0.2952 0.2439
0.9346 1.8080 2.6243 3.3872 4.1002
1.0000 2.0700 3.2149 4.4399 5.7507
1.0000 0.4831 0.3111 0.2252 0.1739
0.0000 0.8734 2.5060 4.7947 7.6467
0.0000 1.0000 3.0700 6.2849 10.7248
0.0000 0.4831 0.9549 1.4155 1.8650
0.9346 1.8517 2.7517 3.6348 4.5014
0.9346 1.8954 2.8831 3.8985 4.9424
0.9346 1.9128 2.9368 4.0086 5.1305
0.9346 1.9390 3.0186 4.1789 5.4259
0.9346 1.9652 3.1019 4.3553 5.7376
0.9346 1.9827 3.1582 4.4765 5.9549
6 7 8 9 10
1.5007 1.6058 1.7182 1.8385 1.9672
0.6663 0.6227 0.5820 0.5439 0.5083
0.2098 0.1856 0.1675 0.1535 0.1424
4.7665 5.3893 5.9713 6.5152 7.0236
7.1533 8.6540 10.2598 11.9780 13.8164
0.1398 0.1156 0.0975 0.0835 0.0724
10.9784 14.7149 18.7889 23.1404 27.7156
16.4756 23.6289 32.2829 42.5427 54.5207
2.3032 2.7304 3.1465 3.5517 3.9461
5.3519 6.1864 7.0054 7.8090 8.5976
6.0155 7.1188 8.2529 9.4189 10.6176
6.3048 7.5340 8.8207 10.1674 11.5771
6.7661 8.2066 9.7547 11.4186 13.2070
7.2621 8.9432 10.7972 12.8418 15.0965
7.6130 9.4725 11.5579 13.8968 16.5197
11 12 13 14 15
2.1049 2.2522 2.4098 2.5785 2.7590
0.4751 0.4440 0.4150 0.3878 0.3624
0.1334 0.1259 0.1197 0.1143 0.1098
7.4987 7.9427 8.3577 8.7455 9.1079
15.7836 17.8885 20.1406 22.5505 25.1290
0.0634 0.0559 0.0497 0.0443 0.0398
32.4665 37.3506 42.3302 47.3718 52.4461
68.3371 84.1207 102.0092 122.1498 144.7003
4.3296 4.7025 5.0648 5.4167 5.7583
9.3715 10.1309 10.8761 11.6074 12.3250
11.8498 13.1167 14.4190 15.7578 17.1342
13.0527 14.5972 16.2139 17.9061 19.6774
15.1290 17.1947 19.4149 21.8010 24.3656
17.5831 20.3253 23.3493 26.6843 30.3622
19.4614 22.7604 26.4603 30.6097 35.2632
16 17 18 19 20
2.9522 3.1588 3.3799 3.6165 3.8697
0.3387 0.3166 0.2959 0.2765 0.2584
0.1059 0.1024 0.0994 0.0968 0.0944
9.4466 9.7632 10.0591 10.3356 10.5940
27.8881 30.8402 33.9990 37.3790 40.9955
0.0359 0.0324 0.0294 0.0268 0.0244
57.5271 62.5923 67.6219 72.5991 77.5091
169.8293 197.7174 228.5576 262.5566 299.9356
6.0897 6.4110 6.7225 7.0242 7.3163
13.0292 13.7203 14.3984 15.0639 15.7169
18.5492 20.0039 21.4993 23.0367 24.6171
21.5315 23.4723 25.5037 27.6300 29.8557
27.1219 30.0843 33.2681 36.6900 40.3678
34.4181 38.8910 43.8237 49.2635 55.2626
40.4821 46.3350 52.8991 60.2607 68.5166
21 22 23 24 25
4.1406 4.4304 4.7405 5.0724 5.4274
0.2415 0.2257 0.2109 0.1971 0.1842
0.0923 0.0904 0.0887 0.0872 0.0858
10.8355 11.0612 11.2722 11.4693 11.6536
44.8652 49.0057 53.4361 58.1767 63.2490
0.0223 0.0204 0.0187 0.0172 0.0158
82.3393 87.0793 91.7201 96.2545 100.6765
340.9311 385.7963 434.8020 488.2382 546.4148
7.5990 7.8725 8.1369 8.3923 8.6391
16.3577 16.9865 17.6036 18.2091 18.8033
26.2419 27.9122 29.6294 31.3947 33.2095
32.1854 34.6240 37.1765 39.8483 42.6450
44.3205 48.5688 53.1347 58.0420 63.3161
61.8783 69.1742 77.2202 86.0933 95.8786
77.7757 88.1596 99.8052 112.8657 127.5129
26 27 28 29 30
5.8074 6.2139 6.6488 7.1143 7.6123
0.1722 0.1609 0.1504 0.1406 0.1314
0.0846 0.0834 0.0824 0.0814 0.0806
11.8258 11.9867 12.1371 12.2777 12.4090
68.6765 74.4838 80.6977 87.3465 94.4608
0.0146 0.0134 0.0124 0.0114 0.0106
104.9814 109.1656 113.2264 117.1622 120.9718
609.6639 678.3403 752.8242 833.5218 920.8684
8.8773 9.1072 9.3289 9.5427 9.7487
19.3865 19.9587 20.5202 21.0712 21.6119
35.0752 36.9932 38.9650 40.9920 43.0759
45.5723 48.6364 51.8437 55.2009 58.7150
68.9846 75.0769 81.6247 88.6621 96.2256
106.6698 118.5705 131.6945 146.1678 162.1290
143.9397 162.3623 183.0231 206.1941 232.1803
35 40 45
10.6766 14.9745 21.0025
0.0937 0.0668 0.0476
0.0772 0.0750 0.0735
12.9477 13.3317 13.6055
138.2369 199.6351 285.7493
0.0072 0.0050 0.0035
138.1353 152.2928 163.7559
1474.8125 2280.5016 3439.2759
10.6687 11.4233 12.0360
24.1677 26.4933 28.6096
54.4052 67.4143 82.3523
78.9074 104.2796 136.1604
143.4201 211.1004 308.1586
270.1926 446.4596 733.9755
417.8748 747.3223 1331.8077
50 55
29.4570 41.3150
0.0339 0.0242
0.0725 0.0717
13.8007 13.9399
406.5289 575.9286
0.0025 0.0017
172.9051 180.1243
5093.2704 7441.8370
12.5287 12.9215
30.5354 32.2878
99.5052 119.2014
176.2195 226.5548
447.3468 646.9524
1202.9542 2368.7653 1967.9240 4208.4708
60 70 80 90 100
57.9464 113.9894 224.2344 441.1030 867.7163
0.0173 0.0088 0.0045 0.0023 0.0012
0.0712 0.0706 0.0703 0.0702 0.0701
14.0392 14.1604 14.2220 14.2533 14.2693
813.5204 1614.1342 3189.0627 6287.1854 12381.6618
0.0012 0.0006 0.0003 0.0002 0.0001
185.7677 193.5185 198.0748 200.7042 202.2001
10764.5769 22059.0596 44415.1811 88531.2204
13.2321 13.6662 13.9273 14.0812 14.1703
33.8824 36.6538 38.9487 40.8490 42.4226
141.8179 197.6083 271.1695 368.1619 496.0491
289.8023 469.1332 752.2708 1199.3041 1905.1053
933.2008 1932.3871 3987.2701 8213.2528 16904.2246
3215.6965 7472.3620 8570.8321 23536.2635 22818.7945 74098.4347 60727.1600
http://www.itson.mx/dii/mconant/ 25%
30%
0.9346 2.0264 3.3018 4.7919 6.5326
0.9346 2.0700 3.4496 5.1257 7.1620
8.5661 10.9417 13.7169 16.9590 20.7465
9.6361 12.6420 16.2940 20.7311 26.1219
25.1712 30.3401 36.3787 43.4330 51.6741
32.6714 40.6288 50.2967 62.0427 76.3136
61.3015 72.5485 85.6875 101.0368 118.9682
93.6520 114.7174 140.3109 171.4057 209.1845
139.9161 164.3880 192.9766 226.3746 265.3908
255.0840 310.8497 378.6024 460.9189 560.9295
310.9706 364.2180 426.4229 499.0922 583.9862
682.4377 830.0644 1009.4241 1227.3377 1492.0925
(P/A,i,j,n)
1277.2054 3957.1304 2785.5542 10482.7459 6067.5116 27757.7974
13208.5953 73489.4846 28746.6019 62555.1466
Factores de interes discreto capitalizado al : i =
8%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.0800 1.1664 1.2597 1.3605 1.4693
0.9259 0.8573 0.7938 0.7350 0.6806
1.0800 0.5608 0.3880 0.3019 0.2505
0.9259 1.7833 2.5771 3.3121 3.9927
1.0000 2.0800 3.2464 4.5061 5.8666
1.0000 0.4808 0.3080 0.2219 0.1705
0.0000 0.8573 2.4450 4.6501 7.3724
0.0000 1.0000 3.0800 6.3264 10.8325
0.0000 0.4808 0.9487 1.4040 1.8465
0.9259 1.8261 2.7013 3.5522 4.3795
0.9259 1.8690 2.8295 3.8079 4.8043
0.9259 1.8861 2.8819 3.9146 4.9855
0.9259 1.9119 2.9617 4.0796 5.2699
0.9259 1.9376 3.0429 4.2506 5.5701
0.9259 1.9547 3.0979 4.3680 5.7792
6 7 8 9 10
1.5869 1.7138 1.8509 1.9990 2.1589
0.6302 0.5835 0.5403 0.5002 0.4632
0.2163 0.1921 0.1740 0.1601 0.1490
4.6229 5.2064 5.7466 6.2469 6.7101
7.3359 8.9228 10.6366 12.4876 14.4866
0.1363 0.1121 0.0940 0.0801 0.0690
10.5233 14.0242 17.8061 21.8081 25.9768
16.6991 24.0350 32.9578 43.5945 56.0820
2.2763 2.6937 3.0985 3.4910 3.8713
5.1837 5.9657 6.7259 7.4650 8.1836
5.8192 6.8529 7.9057 8.9780 10.0702
6.0961 7.2478 8.4421 9.6807 10.9652
6.5374 7.8871 9.3242 10.8545 12.4839
7.0118 8.5869 10.3079 12.1883 14.2428
7.3473 9.0896 11.0255 13.1765 15.5664
11 12 13 14 15
2.3316 2.5182 2.7196 2.9372 3.1722
0.4289 0.3971 0.3677 0.3405 0.3152
0.1401 0.1327 0.1265 0.1213 0.1168
7.1390 7.5361 7.9038 8.2442 8.5595
16.6455 18.9771 21.4953 24.2149 27.1521
0.0601 0.0527 0.0465 0.0413 0.0368
30.2657 34.6339 39.0463 43.4723 47.8857
70.5686 87.2141 106.1912 127.6865 151.9014
4.2395 4.5957 4.9402 5.2731 5.5945
8.8822 9.5614 10.2217 10.8637 11.4878
11.1826 12.3157 13.4696 14.6450 15.8421
12.2973 13.6786 15.1112 16.5968 18.1374
14.2190 16.0665 18.0338 20.1286 22.3592
16.4875 18.9400 21.6197 24.5474 27.7462
18.2220 21.1726 24.4510 28.0937 32.1411
16 17 18 19 20
3.4259 3.7000 3.9960 4.3157 4.6610
0.2919 0.2703 0.2502 0.2317 0.2145
0.1130 0.1096 0.1067 0.1041 0.1019
8.8514 9.1216 9.3719 9.6036 9.8181
30.3243 33.7502 37.4502 41.4463 45.7620
0.0330 0.0296 0.0267 0.0241 0.0219
52.2640 56.5883 60.8426 65.0134 69.0898
179.0535 209.3778 243.1280 280.5783 322.0246
5.9046 6.2037 6.4920 6.7697 7.0369
12.0947 12.6846 13.2582 13.8158 14.3580
17.0614 18.3033 19.5682 20.8565 22.1687
19.7351 21.3919 23.1102 24.8920 26.7399
24.7343 27.2634 29.9564 32.8239 35.8773
31.2413 35.0599 39.2321 43.7906 48.7713
36.6383 41.6351 47.1872 53.3561 60.2105
21 22 23 24 25
5.0338 5.4365 5.8715 6.3412 6.8485
0.1987 0.1839 0.1703 0.1577 0.1460
0.0998 0.0980 0.0964 0.0950 0.0937
10.0168 10.2007 10.3711 10.5288 10.6748
50.4229 55.4568 60.8933 66.7648 73.1059
0.0198 0.0180 0.0164 0.0150 0.0137
73.0629 76.9257 80.6726 84.2997 87.8041
367.7865 418.2094 473.6662 534.5595 601.3242
7.2940 7.5412 7.7786 8.0066 8.2254
14.8851 15.3975 15.8958 16.3801 16.8511
23.5051 24.8663 26.2527 27.6648 29.1031
28.6562 30.6434 32.7043 34.8415 37.0578
39.1286 42.5906 46.2771 50.2024 54.3822
54.2130 60.1587 66.6549 73.7526 81.5074
67.8265 76.2887 85.6912 96.1383 107.7463
26 27 28 29 30
7.3964 7.9881 8.6271 9.3173 10.0627
0.1352 0.1252 0.1159 0.1073 0.0994
0.0925 0.0914 0.0905 0.0896 0.0888
10.8100 10.9352 11.0511 11.1584 11.2578
79.9544 87.3508 95.3388 103.9659 113.2832
0.0125 0.0114 0.0105 0.0096 0.0088
91.1842 94.4390 97.5687 100.5738 103.4558
674.4302 754.3846 841.7354 937.0742 1041.0401
8.4352 8.6363 8.8289 9.0133 9.1897
17.3089 17.7540 18.1868 18.6075 19.0166
30.5679 32.0599 33.5796 35.1273 36.7038
39.3563 41.7398 44.2117 46.7751 49.4334
58.8329 63.5721 68.6184 73.9919 79.7136
89.9803 99.2378 109.3524 120.4035 132.4779
120.6440 134.9749 150.8980 168.5904 188.2485
35 40 45
14.7853 21.7245 31.9204
0.0676 0.0460 0.0313
0.0858 0.0839 0.0826
11.6546 11.9246 12.1084
172.3168 259.0565 386.5056
0.0058 0.0039 0.0026
116.0920 126.0422 133.7331
1716.4600 2738.2065 4268.8202
9.9611 10.5699 11.0447
20.8976 22.5314 23.9506
45.0348 54.1663 64.1752
64.2770 82.0806 103.4346
114.3895 161.8573 226.8357
211.8395 335.4062 527.8007
324.5798 555.4580 946.4522
50 55
46.9016 68.9139
60 101.2571 70 218.6064 80 471.9548 90 1018.9151 100 2199.7613
0.0213 0.0145
0.0817 0.0812
12.2335 12.3186
573.7702 848.9232
0.0017 0.0012
139.5928 144.0065
6547.1270 9924.0400
11.4107 11.6902
25.1834 26.2541
75.1459 87.1706
129.0470 159.7671
315.7844 437.5459
827.3607 1608.6043 1293.7786 2729.9648
0.0099 0.0046 0.0021 0.0010 0.0005
0.0808 0.0804 0.0802 0.0801 0.0800
12.3766 12.4428 12.4735 12.4877 12.4943
1253.2133 2720.0801 5886.9354 12723.9386 27484.5157
0.0008 0.0004 0.0002 0.0001 0.0000
147.3000 14915.1662 151.5326 33126.0009 153.8001 72586.6929 154.9925 155.6107
11.9015 12.1783 12.3301 12.4116 12.4545
27.1842 28.6939 29.8329 30.6923 31.3407
100.3508 130.6322 167.0123 210.7196 263.2297
196.6134 293.8150 433.6500 634.8178 924.2197
604.2248 1144.7262 2157.5589 4055.4818 7611.9539
2019.9957 4628.9986 4911.2749 13291.4049 11920.5412 38134.9434 28912.9551 70107.2996
http://www.itson.mx/dii/mconant/ 25%
30%
0.9259 1.9976 3.2380 4.6736 6.3351
0.9259 2.0405 3.3820 4.9969 6.9407
8.2583 10.4841 13.0603 16.0420 19.4931
9.2805 12.0969 15.4870 19.5677 24.4796
23.4874 28.1104 33.4611 39.6540 46.8218
30.3921 37.5090 46.0757 56.3874 68.7997
55.1178 64.7197 75.8330 88.6956 103.5829
83.7403 101.7245 123.3721 149.4293 180.7946
120.8135 140.7564 163.8384 190.5537 221.4742
218.5490 263.9942 318.6967 384.5424 463.8010
257.2618 298.6827 346.6235 402.1105 466.3316
559.2049 674.0429 812.2739 978.6631 1178.9463
(P/A,i,j,n)
974.8942 2986.0881 2031.1662 7552.6593 4225.0167 19092.1919
8781.5897 48252.1035 18245.4781 37901.7386
Factores de interes discreto capitalizado al : i =
9%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.0900 1.1881 1.2950 1.4116 1.5386
0.9174 0.8417 0.7722 0.7084 0.6499
1.0900 0.5685 0.3951 0.3087 0.2571
0.9174 1.7591 2.5313 3.2397 3.8897
1.0000 2.0900 3.2781 4.5731 5.9847
1.0000 0.4785 0.3051 0.2187 0.1671
0.0000 0.8417 2.3860 4.5113 7.1110
0.0000 1.0000 3.0900 6.3681 10.9412
0.0000 0.4785 0.9426 1.3925 1.8282
0.9174 1.8012 2.6525 3.4726 4.2626
0.9174 1.8433 2.7776 3.7205 4.6721
0.9174 1.8601 2.8287 3.8240 4.8467
0.9174 1.8854 2.9066 3.9840 5.1207
0.9174 1.9106 2.9858 4.1498 5.4098
0.9174 1.9274 3.0394 4.2636 5.6112
6 7 8 9 10
1.6771 1.8280 1.9926 2.1719 2.3674
0.5963 0.5470 0.5019 0.4604 0.4224
0.2229 0.1987 0.1807 0.1668 0.1558
4.4859 5.0330 5.5348 5.9952 6.4177
7.5233 9.2004 11.0285 13.0210 15.1929
0.1329 0.1087 0.0907 0.0768 0.0658
10.0924 13.3746 16.8877 20.5711 24.3728
16.9259 24.4493 33.6497 44.6782 57.6992
2.2498 2.6574 3.0512 3.4312 3.7978
5.0236 5.7567 6.4629 7.1431 7.7984
5.6324 6.6015 7.5795 8.5665 9.5625
5.8975 6.9773 8.0867 9.2267 10.3981
6.3200 7.5854 8.9203 10.3288 11.8148
6.7740 8.2507 9.8494 11.5801 13.4537
7.0950 8.7284 10.5267 12.5064 14.6860
11 12 13 14 15
2.5804 2.8127 3.0658 3.3417 3.6425
0.3875 0.3555 0.3262 0.2992 0.2745
0.1469 0.1397 0.1336 0.1284 0.1241
6.8052 7.1607 7.4869 7.7862 8.0607
17.5603 20.1407 22.9534 26.0192 29.3609
0.0569 0.0497 0.0436 0.0384 0.0341
28.2481 32.1590 36.0731 39.9633 43.8069
72.8921 90.4524 110.5932 133.5465 159.5657
4.1510 4.4910 4.8182 5.1326 5.4346
8.4297 9.0378 9.6235 10.1878 10.7314
10.5676 11.5820 12.6057 13.6388 14.6814
11.6017 12.8385 14.1093 15.4150 16.7567
13.3826 15.0367 16.7818 18.6230 20.5655
15.4819 17.6777 20.0547 22.6281 25.4139
17.0855 19.7271 22.6354 25.8371 29.3619
16 17 18 19 20
3.9703 4.3276 4.7171 5.1417 5.6044
0.2519 0.2311 0.2120 0.1945 0.1784
0.1203 0.1170 0.1142 0.1117 0.1095
8.3126 8.5436 8.7556 8.9501 9.1285
33.0034 36.9737 41.3013 46.0185 51.1601
0.0303 0.0270 0.0242 0.0217 0.0195
47.5849 51.2821 54.8860 58.3868 61.7770
188.9267 221.9301 258.9038 300.2051 346.2236
5.7245 6.0024 6.2687 6.5236 6.7674
11.2550 11.7594 12.2453 12.7134 13.1642
15.7335 16.7953 17.8668 18.9481 20.0394
18.1354 19.5519 21.0075 22.5031 24.0399
22.6150 24.7773 27.0586 29.4655 32.0049
28.4297 31.6945 35.2290 39.0552 43.1974
33.2425 37.5147 42.2180 47.3960 53.0965
21 22 23 24 25
6.1088 6.6586 7.2579 7.9111 8.6231
0.1637 0.1502 0.1378 0.1264 0.1160
0.1076 0.1059 0.1044 0.1030 0.1018
9.2922 9.4424 9.5802 9.7066 9.8226
56.7645 62.8733 69.5319 76.7898 84.7009
0.0176 0.0159 0.0144 0.0130 0.0118
65.0509 68.2048 71.2359 74.1433 76.9265
397.3837 454.1482 517.0215 586.5535 663.3433
7.0006 7.2232 7.4357 7.6384 7.8316
13.5986 14.0170 14.4200 14.8083 15.1823
21.1407 22.2520 23.3736 24.5055 25.6477
25.6190 27.2415 28.9087 30.6218 32.3820
34.6841 37.5107 40.4930 43.6394 46.9590
47.6816 52.5360 57.7913 63.4805 69.6394
59.3723 66.2814 73.8878 82.2618 91.4808
26 27 28 29 30
9.3992 10.2451 11.1671 12.1722 13.2677
0.1064 0.0976 0.0895 0.0822 0.0754
0.1007 0.0997 0.0989 0.0981 0.0973
9.9290 10.0266 10.1161 10.1983 10.2737
93.3240 102.7231 112.9682 124.1354 136.3075
0.0107 0.0097 0.0089 0.0081 0.0073
79.5863 82.1241 84.5419 86.8422 89.0280
748.0442 841.3682 944.0913 1057.0595 1181.1949
8.0156 8.1906 8.3571 8.5154 8.6657
15.5426 15.8896 16.2240 16.5460 16.8563
26.8005 27.9638 29.1378 30.3225 31.5181
34.1907 36.0492 37.9588 39.9209 41.9371
50.4613 54.1564 58.0550 62.1681 66.5076
76.3069 83.5249 91.3388 99.7980 108.9556
101.6303 112.8040 125.1053 138.6480 153.5575
35 40 45
20.4140 31.4094 48.3273
0.0490 0.0318 0.0207
0.0946 0.0930 0.0919
10.5668 10.7574 10.8812
215.7108 337.8824 525.8587
0.0046 0.0030 0.0019
98.3590 105.3762 110.5561
2007.8973 3309.8049 5342.8748
9.3083 9.7957 10.1603
18.2448 19.3966 20.3520
37.6628 44.0945 50.8268
52.8815 65.4173 79.7757
92.0624 125.4688 169.1391
167.4144 254.3359 383.5782
253.9501 416.3088 678.8814
50 55
74.3575 114.4083
0.0134 0.0087
0.0912 0.0908
10.9617 11.0140
815.0836 1260.0918
0.0012 0.0008
114.3251 8500.9284 117.0362 13389.9088
10.4295 10.6261
21.1445 21.8019
57.8735 65.2496
96.2219 115.0594
226.2268 300.8544
575.7468 861.4794
1103.5236 1790.2707
60 176.0313 70 416.7301 80 986.5517 90 2335.5266 100 5529.0408
0.0057 0.0024 0.0010 0.0004 0.0002
0.0905 0.0902 0.0901 0.0900 0.0900
11.0480 11.0844 11.0998 11.1064 11.1091
1944.7921 4619.2232 10950.5741 25939.1842 61422.6755
0.0005 0.0002 0.0001
118.9683 20942.1348 121.2942 50546.9242 122.4306 122.9758 123.2335
10.7683 10.9427 11.0299 11.0726 11.0930
22.3472 23.1747 23.7441 24.1358 24.4054
72.9702 89.5104 107.6323 127.4871 149.2406
136.6359 189.6567 259.2171 350.4764 470.2035
398.4109 692.6542 1195.4827 2054.7600 3523.1681
1286.3312 2857.3116 6330.4800 14009.0606 30985.0869
2900.9038 7601.8733 19897.0541 52054.5630
http://www.itson.mx/dii/mconant/ 25%
30%
0.9174 1.9695 3.1761 4.5597 6.1465
0.9174 2.0116 3.3166 4.8730 6.7293
7.9661 10.0529 12.4460 15.1903 18.3375
8.9432 11.5836 14.7327 18.4886 22.9681
21.9467 26.0857 30.8322 36.2755 42.5178
28.3105 34.6823 42.2816 51.3450 62.1546
49.6763 57.8857 67.3001 78.0964 90.4776
75.0468 90.4228 108.7612 130.6326 156.7177
104.6761 120.9589 139.6317 161.0455 185.6027
187.8285 224.9331 269.1862 321.9652 384.9127
213.7646 246.0603 283.0966 325.5695 374.2770
459.9876 549.5265 656.3160 783.6796 935.5812
(P/A,i,j,n)
748.4999 2264.4268 1490.7459 5471.1302 2962.9414 13209.3856
5882.9428 31882.9548 11674.5704 76945.0735 23161.8768 91137.3277
Factores de interes discreto capitalizado al : i =
10%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.1000 1.2100 1.3310 1.4641 1.6105
0.9091 0.8264 0.7513 0.6830 0.6209
1.1000 0.5762 0.4021 0.3155 0.2638
0.9091 1.7355 2.4869 3.1699 3.7908
1.0000 2.1000 3.3100 4.6410 6.1051
1.0000 0.4762 0.3021 0.2155 0.1638
0.0000 0.8264 2.3291 4.3781 6.8618
0.0000 1.0000 3.1000 6.4100 11.0510
0.0000 0.4762 0.9366 1.3812 1.8101
0.9091 1.7769 2.6052 3.3959 4.1506
0.9091 1.8182 2.7273 3.6364 4.5455
0.9091 1.8347 2.7772 3.7367 4.7138
0.9091 1.8595 2.8531 3.8919 4.9779
0.9091 1.8843 2.9304 4.0526 5.2565
0.9091 1.9008 2.9827 4.1630 5.4505
6 7 8 9 10
1.7716 1.9487 2.1436 2.3579 2.5937
0.5645 0.5132 0.4665 0.4241 0.3855
0.2296 0.2054 0.1874 0.1736 0.1627
4.3553 4.8684 5.3349 5.7590 6.1446
7.7156 9.4872 11.4359 13.5795 15.9374
0.1296 0.1054 0.0874 0.0736 0.0627
9.6842 12.7631 16.0287 19.4215 22.8913
17.1561 24.8717 34.3589 45.7948 59.3742
2.2236 2.6216 3.0045 3.3724 3.7255
4.8710 5.5587 6.2151 6.8417 7.4398
5.4545 6.3636 7.2727 8.1818 9.0909
5.7086 6.7215 7.7528 8.8028 9.8719
6.1133 7.3002 8.5411 9.8385 11.1948
6.5478 7.9331 9.4192 11.0133 12.7234
6.8551 8.3874 10.0590 11.8825 13.8718
11 12 13 14 15
2.8531 3.1384 3.4523 3.7975 4.1772
0.3505 0.3186 0.2897 0.2633 0.2394
0.1540 0.1468 0.1408 0.1357 0.1315
6.4951 6.8137 7.1034 7.3667 7.6061
18.5312 21.3843 24.5227 27.9750 31.7725
0.0540 0.0468 0.0408 0.0357 0.0315
26.3963 29.9012 33.3772 36.8005 40.1520
75.3117 93.8428 115.2271 139.7498 167.7248
4.0641 4.3884 4.6988 4.9955 5.2789
8.0107 8.5557 9.0759 9.5724 10.0464
10.0000 10.9091 11.8182 12.7273 13.6364
10.9605 12.0689 13.1974 14.3465 15.5164
12.6127 14.0951 15.6449 17.2651 18.9590
14.5578 16.5256 18.6366 20.9011 23.3303
16.0420 18.4094 20.9921 23.8096 26.8832
16 17 18 19 20
4.5950 5.0545 5.5599 6.1159 6.7275
0.2176 0.1978 0.1799 0.1635 0.1486
0.1278 0.1247 0.1219 0.1195 0.1175
7.8237 8.0216 8.2014 8.3649 8.5136
35.9497 40.5447 45.5992 51.1591 57.2750
0.0278 0.0247 0.0219 0.0195 0.0175
43.4164 46.5819 49.6395 52.5827 55.4069
199.4973 235.4470 275.9917 321.5909 372.7500
5.5493 5.8071 6.0526 6.2861 6.5081
10.4989 10.9307 11.3430 11.7365 12.1121
14.5455 15.4545 16.3636 17.2727 18.1818
16.7076 17.9205 19.1554 20.4128 21.6930
20.7298 22.5812 24.5167 26.5402 28.6556
25.9361 28.7314 31.7301 34.9468 38.3975
30.2362 33.8940 37.8844 42.2375 46.9864
21 22 23 24 25
7.4002 8.1403 8.9543 9.8497 10.8347
0.1351 0.1228 0.1117 0.1015 0.0923
0.1156 0.1140 0.1126 0.1113 0.1102
8.6487 8.7715 8.8832 8.9847 9.0770
64.0025 71.4027 79.5430 88.4973 98.3471
0.0156 0.0140 0.0126 0.0113 0.0102
58.1095 60.6893 63.1462 65.4813 67.6964
430.0250 494.0275 565.4302 644.9733 733.4706
6.7189 6.9189 7.1085 7.2881 7.4580
12.4706 12.8129 13.1396 13.4514 13.7491
19.0909 20.0000 20.9091 21.8182 22.7273
22.9965 24.3237 25.6751 27.0510 28.4519
30.8672 33.1794 35.5966 38.1238 40.7658
42.0991 46.0700 50.3296 54.8990 59.8008
52.1670 57.8185 63.9838 70.7096 78.0469
26 27 28 29 30
11.9182 13.1100 14.4210 15.8631 17.4494
0.0839 0.0763 0.0693 0.0630 0.0573
0.1092 0.1083 0.1075 0.1067 0.1061
9.1609 9.2372 9.3066 9.3696 9.4269
109.1818 121.0999 134.2099 148.6309 164.4940
0.0092 0.0083 0.0075 0.0067 0.0061
69.7940 71.7773 73.6495 75.4146 77.0766
831.8177 940.9994 1062.0994 1196.3093 1344.9402
7.6186 7.7704 7.9137 8.0489 8.1762
14.0332 14.3044 14.5633 14.8104 15.0463
23.6364 24.5455 25.4545 26.3636 27.2727
29.8783 31.3306 32.8094 34.3150 35.8480
43.5278 46.4155 49.4343 52.5905 55.8900
65.0590 70.6997 76.7506 83.2415 90.2045
86.0512 94.7831 104.3088 114.7005 126.0369
35 40 45
28.1024 45.2593 72.8905
0.0356 0.0221 0.0137
0.1037 0.1023 0.1014
9.6442 9.7791 9.8628
271.0244 442.5926 718.9048
0.0037 0.0023 0.0014
83.9872 88.9525 92.4544
2360.2437 4025.9256 6739.0484
8.7086 9.0962 9.3740
16.0744 16.8890 17.5347
31.8182 36.3636 40.9091
43.9414 52.7977 62.4890
74.7786 98.3685 127.8298
133.3936 194.7444 281.8944
200.1840 314.7450 491.7475
50 55
117.3909 189.0591
60 304.4816 70 789.7470 80 2048.4002 90 5313.0226 100 13780.6123
0.0085 0.0053
0.1009 0.1005
9.9148 9.9471
1163.9085 1880.5914
0.0009 0.0005
94.8889 96.5619
11139.0853 18255.9142
9.5704 9.7075
18.0463 18.4517
45.4545 50.0000
73.0940 84.6988
164.6238 210.5757
405.6924 581.5496
765.2255 1187.7629
0.0033 0.0013 0.0005 0.0002 0.0001
0.1003 0.1001 0.1000
9.9672 9.9873 9.9951 9.9981 9.9993
3034.8164 7887.4696 20474.0021 53120.2261
0.0003 0.0001
97.7010 98.9870 99.5606 99.8118 99.9202
29748.1640 78174.6957
9.8023 9.9113 9.9609 9.9831 9.9927
18.7731 19.2295 19.5161 19.6961 19.8092
54.5455 63.6364 72.7273 81.8182 90.9091
97.3975 126.4996 161.3474 203.0757 253.0427
267.9647 429.1494 680.5553 1072.6824 1684.2979
831.3579 1690.2958 3423.5208 6920.9439 13978.2897
1840.6047 4407.7309 10535.9297 25165.0580 60087.4561
http://www.itson.mx/dii/mconant/ 25%
30%
0.9091 1.9421 3.1161 4.4501 5.9660
0.9091 1.9835 3.2532 4.7538 6.5272
7.6886 9.6462 11.8707 14.3985 17.2710
8.6230 11.1000 14.0272 17.4867 21.5752
20.5352 24.2446 28.4598 33.2497 38.6929
26.4071 32.1174 38.8661 46.8417 56.2675
44.8783 51.9071 59.8945 68.9710 79.2852
67.4070 80.5719 96.1305 114.5178 136.2483
91.0059 104.3249 119.4601 136.6592 156.2036
161.9299 192.2807 228.1500 270.5409 320.6392
178.4132 203.6514 232.3311 264.9218 301.9565
379.8463 449.8184 532.5126 630.2422 745.7408
(P/A,i,j,n)
578.1439 1725.7859 1101.4918 3985.2186 2093.1844 9194.1993
3972.3443 21203.1781 7533.1671 48889.1271 14280.5757 51293.8443
Factores de interes discreto capitalizado al : i =
12%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.1200 1.2544 1.4049 1.5735 1.7623
0.8929 0.7972 0.7118 0.6355 0.5674
1.1200 0.5917 0.4163 0.3292 0.2774
0.8929 1.6901 2.4018 3.0373 3.6048
1.0000 2.1200 3.3744 4.7793 6.3528
1.0000 0.4717 0.2963 0.2092 0.1574
0.0000 0.7972 2.2208 4.1273 6.3970
0.0000 1.0000 3.1200 6.4944 11.2737
0.0000 0.4717 0.9246 1.3589 1.7746
0.8929 1.7299 2.5146 3.2503 3.9401
0.8929 1.7698 2.6310 3.4769 4.3077
0.8929 1.7857 2.6786 3.5714 4.4643
0.8929 1.8096 2.7510 3.7175 4.7099
0.8929 1.8335 2.8246 3.8688 4.9689
0.8929 1.8495 2.8745 3.9726 5.1492
6 7 8 9 10
1.9738 2.2107 2.4760 2.7731 3.1058
0.5066 0.4523 0.4039 0.3606 0.3220
0.2432 0.2191 0.2013 0.1877 0.1770
4.1114 4.5638 4.9676 5.3282 5.6502
8.1152 10.0890 12.2997 14.7757 17.5487
0.1232 0.0991 0.0813 0.0677 0.0570
8.9302 11.6443 14.4714 17.3563 20.2541
17.6266 25.7418 35.8308 48.1305 62.9061
2.1720 2.5515 2.9131 3.2574 3.5847
4.5867 5.1928 5.7612 6.2939 6.7934
5.1236 5.9250 6.7120 7.4850 8.2442
5.3571 6.2500 7.1429 8.0357 8.9286
5.7290 6.7753 7.8496 8.9527 10.0854
6.1280 7.3491 8.6357 9.9912 11.4192
6.4099 7.7606 9.2078 10.7584 12.4197
11 12 13 14 15
3.4785 3.8960 4.3635 4.8871 5.4736
0.2875 0.2567 0.2292 0.2046 0.1827
0.1684 0.1614 0.1557 0.1509 0.1468
5.9377 6.1944 6.4235 6.6282 6.8109
20.6546 24.1331 28.0291 32.3926 37.2797
0.0484 0.0414 0.0357 0.0309 0.0268
23.1288 25.9523 28.7024 31.3624 33.9202
80.4549 101.1094 125.2426 153.2717 185.6643
3.8953 4.1897 4.4683 4.7317 4.9803
7.2617 7.7007 8.1123 8.4981 8.8598
8.9899 9.7222 10.4414 11.1478 11.8416
9.8214 10.7143 11.6071 12.5000 13.3929
11.2484 12.4425 13.6687 14.9277 16.2204
12.9239 14.5091 16.1792 17.9388 19.7926
14.1996 16.1068 18.1501 20.3394 22.6851
16 17 18 19 20
6.1304 6.8660 7.6900 8.6128 9.6463
0.1631 0.1456 0.1300 0.1161 0.1037
0.1434 0.1405 0.1379 0.1358 0.1339
6.9740 7.1196 7.2497 7.3658 7.4694
42.7533 48.8837 55.7497 63.4397 72.0524
0.0234 0.0205 0.0179 0.0158 0.0139
36.3670 38.6973 40.9080 42.9979 44.9676
222.9440 265.6973 314.5810 370.3307 433.7704
5.2147 5.4353 5.6427 5.8375 6.0202
9.1989 9.5169 9.8149 10.0943 10.3563
12.5230 13.1923 13.8495 14.4951 15.1291
14.2857 15.1786 16.0714 16.9643 17.8571
17.5477 18.9106 20.3100 21.7468 23.2222
21.7458 23.8036 25.9717 28.2559 30.6625
25.1983 27.8910 30.7761 33.8672 37.1792
21 22 23 24 25
10.8038 12.1003 13.5523 15.1786 17.0001
0.0926 0.0826 0.0738 0.0659 0.0588
0.1322 0.1308 0.1296 0.1285 0.1275
7.5620 7.6446 7.7184 7.7843 7.8431
81.6987 92.5026 104.6029 118.1552 133.3339
0.0122 0.0108 0.0096 0.0085 0.0075
46.8188 48.5543 50.1776 51.6929 53.1046
505.8228 587.5215 680.0241 784.6270 902.7823
6.1913 6.3514 6.5010 6.6406 6.7708
10.6019 10.8321 11.0480 11.2503 11.4400
15.7518 16.3634 16.9640 17.5539 18.1333
18.7500 19.6429 20.5357 21.4286 22.3214
24.7371 26.2925 27.8897 29.5296 31.2134
33.1979 35.8693 38.6837 41.6489 44.7729
40.7277 44.5297 48.6032 52.9677 57.6440
26 27 28 29 30
19.0401 21.3249 23.8839 26.7499 29.9599
0.0525 0.0469 0.0419 0.0374 0.0334
0.1267 0.1259 0.1252 0.1247 0.1241
7.8957 7.9426 7.9844 8.0218 8.0552
150.3339 169.3740 190.6989 214.5828 241.3327
0.0067 0.0059 0.0052 0.0047 0.0041
54.4177 55.6369 56.7674 57.8141 58.7821
1036.1161 1186.4501 1355.8241 1546.5229 1761.1057
6.8921 7.0049 7.1098 7.2071 7.2974
11.6179 11.7846 11.9410 12.0875 12.2249
18.7024 19.2613 19.8102 20.3493 20.8788
23.2143 24.1071 25.0000 25.8929 26.7857
32.9423 34.7176 36.5404 38.4120 40.3337
48.0643 51.5321 55.1856 59.0348 63.0902
62.6543 68.0225 73.7741 79.9365 86.5391
35 40 45
52.7996 93.0510 163.9876
0.0189 0.0107 0.0061
0.1223 0.1213 0.1207
8.1755 8.2438 8.2825
431.6635 767.0914 1358.2300
0.0023 0.0013 0.0007
62.6052 65.1159 66.7342
3305.5291 6059.0952 10943.5836
7.6577 7.8988 8.0572
12.7933 13.2049 13.5030
23.3877 25.6804 27.7756
31.2500 35.7143 40.1786
50.7427 62.6225 76.1809
86.8686 117.7361 157.8063
127.3372 184.9417 266.2758
50 55
289.0022 509.3206
0.0035 0.0020
0.1204 0.1202
8.3045 8.3170
2400.0182 4236.0050
0.0004 0.0002
67.7624 68.4082
19583.4854 34841.7087
8.1597 8.2251
13.7189 13.8752
29.6903 31.4401
44.6429 49.1071
91.6550 109.3157
209.8228 277.3473
381.1146 543.2600
60 70 80 90 100
897.5969 2787.7998 8658.4831 26891.9342 83522.2657
0.0011 0.0004 0.0001
0.1201 0.1200
8.3240 8.3303 8.3324 8.3330 8.3332
7471.6411 23223.3319 72145.6925
0.0001
68.8100 69.2103 69.3594 69.4140 69.4336
61763.6759
8.2664 8.3082 8.3241 8.3300 8.3321
13.9884 14.1298 14.2039 14.2428 14.2632
33.0391 35.8357 38.1711 40.1215 41.7503
53.5714 62.5000 71.4286 80.3571 89.2857
129.4717 178.7302 242.8924 326.4676 435.3295
365.0032 626.5061 1067.1792 1809.7816 3061.1817
772.1996 1551.8562 3106.1589 6204.7756 12382.0953
http://www.itson.mx/dii/mconant/ 25%
30%
0.8929 1.8893 3.0015 4.2428 5.6281
0.8929 1.9292 3.1321 4.5284 6.1490
7.1742 8.8998 10.8256 12.9750 15.3739
8.0301 10.2135 12.7478 15.6894 19.1037
18.0512 21.0393 24.3743 28.0963 32.2503
23.0668 27.6669 33.0062 39.2036 46.3971
36.8865 42.0608 47.8357 54.2810 61.4743
54.7466 64.4380 75.6870 88.7438 103.8991
69.5026 78.4627 88.4628 99.6237 112.0800
121.4900 141.9080 165.6075 193.1159 225.0452
125.9821 141.4979 158.8146 178.1413 199.7113
262.1060 305.1231 355.0536 413.0086 480.2779
(P/A,i,j,n)
351.4581 1018.0062 614.2302 2150.9008 1069.2594 4537.7017
1857.2103 9566.2524 3221.6651 20160.4845 5584.4224 42480.5842 16760.8755 50274.6934
Factores de interes discreto capitalizado al : i =
15%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.1500 1.3225 1.5209 1.7490 2.0114
0.8696 0.7561 0.6575 0.5718 0.4972
1.1500 0.6151 0.4380 0.3503 0.2983
0.8696 1.6257 2.2832 2.8550 3.3522
1.0000 2.1500 3.4725 4.9934 6.7424
1.0000 0.4651 0.2880 0.2003 0.1483
0.0000 0.7561 2.0712 3.7864 5.7751
0.0000 1.0000 3.1500 6.6225 11.6159
0.0000 0.4651 0.9071 1.3263 1.7228
0.8696 1.6635 2.3884 3.0503 3.6546
0.8696 1.7013 2.4969 3.2579 3.9858
0.8696 1.7164 2.5412 3.3445 4.1268
0.8696 1.7391 2.6087 3.4783 4.3478
0.8696 1.7618 2.6773 3.6167 4.5807
0.8696 1.7769 2.7238 3.7118 4.7427
6 7 8 9 10
2.3131 2.6600 3.0590 3.5179 4.0456
0.4323 0.3759 0.3269 0.2843 0.2472
0.2642 0.2404 0.2229 0.2096 0.1993
3.7845 4.1604 4.4873 4.7716 5.0188
8.7537 11.0668 13.7268 16.7858 20.3037
0.1142 0.0904 0.0729 0.0596 0.0493
7.9368 10.1924 12.4807 14.7548 16.9795
18.3583 27.1120 38.1788 51.9056 68.6915
2.0972 2.4498 2.7813 3.0922 3.3832
4.2064 4.7102 5.1702 5.5902 5.9736
4.6821 5.3481 5.9851 6.5945 7.1773
4.8887 5.6308 6.3534 7.0573 7.7427
5.2174 6.0870 6.9565 7.8261 8.6957
5.5697 6.5846 7.6259 8.6944 9.7908
5.8185 6.9410 8.1124 9.3346 10.6101
11 12 13 14 15
4.6524 5.3503 6.1528 7.0757 8.1371
0.2149 0.1869 0.1625 0.1413 0.1229
0.1911 0.1845 0.1791 0.1747 0.1710
5.2337 5.4206 5.5831 5.7245 5.8474
24.3493 29.0017 34.3519 40.5047 47.5804
0.0411 0.0345 0.0291 0.0247 0.0210
19.1289 21.1849 23.1352 24.9725 26.6930
88.9952 113.3444 142.3461 176.6980 217.2027
3.6549 3.9082 4.1438 4.3624 4.5650
6.3237 6.6434 6.9353 7.2018 7.4451
7.7348 8.2681 8.7782 9.2661 9.7328
8.4103 9.0605 9.6937 10.3104 10.9110
9.5652 10.4348 11.3043 12.1739 13.0435
10.9158 12.0701 13.2545 14.4699 15.7169
11.9409 13.3297 14.7788 16.2909 17.8688
16 17 18 19 20
9.3576 10.7613 12.3755 14.2318 16.3665
0.1069 0.0929 0.0808 0.0703 0.0611
0.1679 0.1654 0.1632 0.1613 0.1598
5.9542 6.0472 6.1280 6.1982 6.2593
55.7175 65.0751 75.8364 88.2118 102.4436
0.0179 0.0154 0.0132 0.0113 0.0098
28.2960 29.7828 31.1565 32.4213 33.5822
264.7831 320.5006 385.5757 461.4121 549.6239
4.7522 4.9251 5.0843 5.2307 5.3651
7.6673 7.8701 8.0553 8.2244 8.3788
10.1792 10.6062 11.0146 11.4053 11.7790
11.4959 12.0656 12.6204 13.1607 13.6870
13.9130 14.7826 15.6522 16.5217 17.3913
16.9965 18.3094 19.6566 21.0390 22.4574
19.5152 21.2333 23.0260 24.8967 26.8488
21 22 23 24 25
18.8215 21.6447 24.8915 28.6252 32.9190
0.0531 0.0462 0.0402 0.0349 0.0304
0.1584 0.1573 0.1563 0.1554 0.1547
6.3125 6.3587 6.3988 6.4338 6.4641
118.8101 137.6316 159.2764 184.1678 212.7930
0.0084 0.0073 0.0063 0.0054 0.0047
34.6448 35.6150 36.4988 37.3023 38.0314
652.0675 770.8776 908.5092 1067.7856 1251.9534
5.4883 5.6010 5.7040 5.7979 5.8834
8.5198 8.6485 8.7660 8.8733 8.9713
12.1364 12.4783 12.8053 13.1181 13.4173
14.1995 14.6986 15.1847 15.6582 16.1193
18.2609 19.1304 20.0000 20.8696 21.7391
23.9128 25.4062 26.9385 28.5108 30.1242
28.8857 31.0111 33.2290 35.5433 37.9582
26 27 28 29 30
37.8568 43.5353 50.0656 57.5755 66.2118
0.0264 0.0230 0.0200 0.0174 0.0151
0.1541 0.1535 0.1531 0.1527 0.1523
6.4906 6.5135 6.5335 6.5509 6.5660
245.7120 283.5688 327.1041 377.1697 434.7451
0.0041 0.0035 0.0031 0.0027 0.0023
38.6918 39.2890 39.8283 40.3146 40.7526
1464.7465 1710.4584 1994.0272 2321.1313 2698.3010
5.9612 6.0319 6.0960 6.1541 6.2066
9.0608 9.1424 9.2170 9.2851 9.3473
13.7035 13.9773 14.2392 14.4896 14.7292
16.5683 17.0057 17.4316 17.8464 18.2505
22.6087 23.4783 24.3478 25.2174 26.0870
31.7796 33.4782 35.2211 37.0095 38.8445
40.4782 43.1076 45.8515 48.7146 51.7021
35 40 45
133.1755 267.8635 538.7693
0.0075 0.0037 0.0019
0.1511 0.1506 0.1503
6.6166 6.6418 6.6543
881.1702 1779.0903 3585.1285
0.0011 0.0006 0.0003
42.3586 43.2830 43.8051
5641.1344 11593.9354 23600.8564
6.4019 6.5168 6.5830
9.5858 9.7372 9.8332
15.7796 16.6207 17.2942
20.1178 21.7539 23.1875
30.4348 34.7826 39.1304
48.7632 60.0449 72.8769
68.7052 89.7403 115.7636
50 55
1083.6574 2179.6222
0.0009 0.0005
60 4383.9987 70 17735.7200 80 71750.8794 90 100
0.0002 0.0001
0.1501
6.6605 6.6636
7217.7163 14524.1479
6.6651 6.6663 6.6666
29219.9916
0.0001
44.0958 44.2558 44.3431 44.4156 44.4364 44.4422 44.4438
47784.7752 96460.9860
6.6205 6.6414
9.8942 9.9329
17.8334 18.2652
24.4436 25.5442
43.4783 47.8261
87.4723 104.0734
147.9578 187.7865
6.6530 6.6627 6.6656 6.6664 6.6666
9.9574 9.9828 9.9931 9.9972 9.9989
18.6109 19.1094 19.4290 19.6339 19.7653
26.5085 28.0938 29.3109 30.2452 30.9625
52.1739 60.8696 69.5652 78.2609 86.9565
122.9558 168.8617 228.2512 305.0849 404.4865
237.0599 373.4308 582.1469 901.5874 1390.4918
http://www.itson.mx/dii/mconant/ 25%
30%
0.8696 1.8147 2.8421 3.9588 5.1726
0.8696 1.8526 2.9638 4.2199 5.6399
6.4920 7.9261 9.4849 11.1792 13.0209
7.2451 9.0597 11.1109 13.4297 16.0510
15.0227 17.1986 19.5637 22.1344 24.9287
19.0142 22.3639 26.1504 30.4309 35.2698
27.9660 31.2674 34.8559 38.7564 42.9960
40.7397 46.9232 53.9132 61.8149 70.7472
47.6044 52.6135 58.0581 63.9762 70.4089
80.8447 92.2592 105.1626 119.7490 136.2380
77.4010 85.0011 93.2621 102.2414 112.0015
154.8778 175.9488 199.7682 226.6945 257.1329
175.1084 270.8581 416.1356
480.3027 892.2703 1652.7551
(P/A,i,j,n)
636.5597 971.0011
3056.5967 5648.0637
1478.4367 10431.8661 3416.5106 35564.2107 7878.1255 18149.1510 41793.9448
Factores de interes discreto capitalizado al : i =
18%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.1800 1.3924 1.6430 1.9388 2.2878
0.8475 0.7182 0.6086 0.5158 0.4371
1.1800 0.6387 0.4599 0.3717 0.3198
0.8475 1.5656 2.1743 2.6901 3.1272
1.0000 2.1800 3.5724 5.2154 7.1542
1.0000 0.4587 0.2799 0.1917 0.1398
0.0000 0.7182 1.9354 3.4828 5.2312
0.0000 1.0000 3.1800 6.7524 11.9678
0.0000 0.4587 0.8902 1.2947 1.6728
0.8475 1.6016 2.2726 2.8697 3.4010
0.8475 1.6375 2.3739 3.0604 3.7004
0.8475 1.6518 2.4153 3.1399 3.8277
0.8475 1.6734 2.4783 3.2627 4.0272
0.8475 1.6949 2.5424 3.3898 4.2373
0.8475 1.7093 2.5857 3.4770 4.3834
6 7 8 9 10
2.6996 3.1855 3.7589 4.4355 5.2338
0.3704 0.3139 0.2660 0.2255 0.1911
0.2859 0.2624 0.2452 0.2324 0.2225
3.4976 3.8115 4.0776 4.3030 4.4941
9.4420 12.1415 15.3270 19.0859 23.5213
0.1059 0.0824 0.0652 0.0524 0.0425
7.0834 8.9670 10.8292 12.6329 14.3525
19.1220 28.5640 40.7055 56.0325 75.1184
2.0252 2.3526 2.6558 2.9358 3.1936
3.8737 4.2944 4.6688 5.0019 5.2983
4.2970 4.8531 5.3715 5.8548 6.3053
4.4806 5.1002 5.6883 6.2465 6.7764
4.7723 5.4984 6.2061 6.8958 7.5679
5.0847 5.9322 6.7797 7.6271 8.4746
5.3051 6.2425 7.1958 8.1652 9.1510
11 12 13 14 15
6.1759 7.2876 8.5994 10.1472 11.9737
0.1619 0.1372 0.1163 0.0985 0.0835
0.2148 0.2086 0.2037 0.1997 0.1964
4.6560 4.7932 4.9095 5.0081 5.0916
28.7551 34.9311 42.2187 50.8180 60.9653
0.0348 0.0286 0.0237 0.0197 0.0164
15.9716 17.4811 18.8765 20.1576 21.3269
98.6397 127.3948 162.3259 204.5446 255.3626
3.4303 3.6470 3.8449 4.0250 4.1887
5.5620 5.7967 6.0056 6.1914 6.3567
6.7253 7.1168 7.4818 7.8220 8.1392
7.2793 7.7566 8.2097 8.6397 9.0478
8.2230 8.8614 9.4835 10.0899 10.6808
9.3220 10.1695 11.0169 11.8644 12.7119
10.1536 11.1732 12.2100 13.2644 14.3367
16 17 18 19 20
14.1290 16.6722 19.6733 23.2144 27.3930
0.0708 0.0600 0.0508 0.0431 0.0365
0.1937 0.1915 0.1896 0.1881 0.1868
5.1624 5.2223 5.2732 5.3162 5.3527
72.9390 87.0680 103.7403 123.4135 146.6280
0.0137 0.0115 0.0096 0.0081 0.0068
22.3885 23.3482 24.2123 24.9877 25.6813
316.3279 389.2669 476.3349 580.0752 703.4887
4.3369 4.4708 4.5916 4.7003 4.7978
6.5039 6.6348 6.7513 6.8550 6.9472
8.4348 8.7104 8.9673 9.2068 9.4301
9.4352 9.8029 10.1519 10.4832 10.7976
11.2567 11.8180 12.3650 12.8981 13.4176
13.5593 14.4068 15.2542 16.1017 16.9492
15.4271 16.5361 17.6638 18.8106 19.9769
21 22 23 24 25
32.3238 38.1421 45.0076 53.1090 62.6686
0.0309 0.0262 0.0222 0.0188 0.0160
0.1857 0.1848 0.1841 0.1835 0.1829
5.3837 5.4099 5.4321 5.4509 5.4669
174.0210 206.3448 244.4868 289.4945 342.6035
0.0057 0.0048 0.0041 0.0035 0.0029
26.3000 26.8506 27.3394 27.7725 28.1555
850.1167 1024.1377 1230.4825 1474.9693 1764.4638
4.8851 4.9632 5.0329 5.0950 5.1502
7.0293 7.1024 7.1673 7.2252 7.2766
9.6382 9.8323 10.0131 10.1817 10.3389
11.0960 11.3793 11.6481 11.9033 12.1455
13.9240 14.4174 14.8983 15.3670 15.8238
17.7966 18.6441 19.4915 20.3390 21.1864
21.1630 22.3691 23.5957 24.8431 26.1116
26 27 28 29 30
73.9490 87.2598 102.9666 121.5005 143.3706
0.0135 0.0115 0.0097 0.0082 0.0070
0.1825 0.1821 0.1818 0.1815 0.1813
5.4804 5.4919 5.5016 5.5098 5.5168
405.2721 479.2211 566.4809 669.4475 790.9480
0.0025 0.0021 0.0018 0.0015 0.0013
28.4935 28.7915 29.0537 29.2842 29.4864
2107.0673 2512.3394 2991.5605 3558.0414 4227.4888
5.1991 5.2425 5.2810 5.3149 5.3448
7.3224 7.3632 7.3994 7.4317 7.4604
10.4854 10.6220 10.7493 10.8680 10.9786
12.3754 12.5936 12.8007 12.9973 13.1839
16.2690 16.7028 17.1256 17.5377 17.9393
22.0339 22.8814 23.7288 24.5763 25.4237
27.4016 28.7135 30.0477 31.4044 32.7841
35 40 45
327.9973 750.3783 1716.6839
0.0030 0.0013 0.0006
0.1806 0.1802 0.1801
5.5386 5.5482 5.5523
1816.6516 4163.2130 9531.5771
0.0006 0.0002 0.0001
30.1773 30.5269 30.7006
9898.0645 22906.7390 52703.2061
5.4485 5.5022 5.5293
7.5629 7.6201 7.6520
11.4290 11.7461 11.9692
13.9837 14.5999 15.0746
19.7991 21.4343 22.8719
29.6610 33.8983 38.1356
40.0416 47.9354 56.5211
50 55
3927.3569 8984.8411
60 20555.1400 70 80 90 100
0.0003 0.0001
0.1800
5.5541 5.5549 5.5553 5.5555
21813.0937 49910.2284
30.7856 30.8268
5.5428 5.5494
7.6698 7.6798
12.1264 12.2370
15.4402 15.7219
24.1358 25.2470
42.3729 46.6102
65.8596 76.0167
30.8465 30.8603 30.8634 30.8640 30.8642
5.5526 5.5549 5.5554 5.5555
7.6853 7.6901 7.6916 7.6921 7.6922
12.3148 12.4082 12.4545 12.4775 12.4888
15.9389 16.2348 16.4104 16.5146 16.5764
26.2240 27.8381 29.0857 30.0501 30.7955
50.8475 59.3220 67.7966 76.2712 84.7458
87.0643 112.1499 141.8267 176.9350 218.4688
http://www.itson.mx/dii/mconant/ 25%
30%
0.8475 1.7452 2.6962 3.7036 4.7707
0.8475 1.7811 2.8097 3.9429 5.1913
5.9012 7.0987 8.3673 9.7111 11.1347
6.5667 8.0819 9.7513 11.5904 13.6165
12.6427 14.2401 15.9323 17.7249 19.6238
15.8487 18.3079 21.0172 24.0020 27.2904
21.6354 23.7663 26.0237 28.4149 30.9480
30.9131 34.9043 39.3013 44.1455 49.4823
33.6313 36.4739 39.4850 42.6748 46.0538
55.3619 61.8394 68.9756 76.8375 85.4990
49.6333 53.4251 57.4419 61.6969 66.2043
95.0412 105.5539 117.1357 129.8952 143.9524
93.0841 128.9404 176.7710
238.8196 392.7850 642.6641
(P/A,i,j,n)
240.5746 325.6856
1048.2068 1706.3848
439.2195 792.6935 1421.6745 2540.9000 4532.4795
2774.5785 7321.8174 19299.1805 50847.3863
Factores de interes discreto capitalizado al : i =
20%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.2000 1.4400 1.7280 2.0736 2.4883
0.8333 0.6944 0.5787 0.4823 0.4019
1.2000 0.6545 0.4747 0.3863 0.3344
0.8333 1.5278 2.1065 2.5887 2.9906
1.0000 2.2000 3.6400 5.3680 7.4416
1.0000 0.4545 0.2747 0.1863 0.1344
0.0000 0.6944 1.8519 3.2986 4.9061
0.0000 1.0000 3.2000 6.8400 12.2080
0.0000 0.4545 0.8791 1.2742 1.6405
0.8333 1.5625 2.2005 2.7588 3.2473
0.8333 1.5972 2.2975 2.9393 3.5277
0.8333 1.6111 2.3370 3.0146 3.6469
0.8333 1.6319 2.3973 3.1307 3.8336
0.8333 1.6528 2.4586 3.2509 4.0301
0.8333 1.6667 2.5000 3.3333 4.1667
6 7 8 9 10
2.9860 3.5832 4.2998 5.1598 6.1917
0.3349 0.2791 0.2326 0.1938 0.1615
0.3007 0.2774 0.2606 0.2481 0.2385
3.3255 3.6046 3.8372 4.0310 4.1925
9.9299 12.9159 16.4991 20.7989 25.9587
0.1007 0.0774 0.0606 0.0481 0.0385
6.5806 8.2551 9.8831 11.4335 12.8871
19.6496 29.5795 42.4954 58.9945 79.7934
1.9788 2.2902 2.5756 2.8364 3.0739
3.6747 4.0487 4.3759 4.6623 4.9128
4.0671 4.5615 5.0147 5.4301 5.8110
4.2371 4.7880 5.3021 5.7820 6.2299
4.5072 5.1527 5.7714 6.3642 6.9324
4.7962 5.5496 6.2905 7.0190 7.7353
5.0000 5.8333 6.6667 7.5000 8.3333
11 12 13 14 15
7.4301 8.9161 10.6993 12.8392 15.4070
0.1346 0.1122 0.0935 0.0779 0.0649
0.2311 0.2253 0.2206 0.2169 0.2139
4.3271 4.4392 4.5327 4.6106 4.6755
32.1504 39.5805 48.4966 59.1959 72.0351
0.0311 0.0253 0.0206 0.0169 0.0139
14.2330 15.4667 16.5883 17.6008 18.5095
105.7521 137.9025 177.4830 225.9796 285.1755
3.2893 3.4841 3.6597 3.8175 3.9588
5.1321 5.3239 5.4917 5.6386 5.7671
6.1600 6.4800 6.7734 7.0423 7.2887
6.6479 7.0380 7.4021 7.7420 8.0592
7.4769 7.9987 8.4987 8.9780 9.4372
8.4397 9.1324 9.8135 10.4833 11.1419
9.1667 10.0000 10.8333 11.6667 12.5000
16 17 18 19 20
18.4884 22.1861 26.6233 31.9480 38.3376
0.0541 0.0451 0.0376 0.0313 0.0261
0.2114 0.2094 0.2078 0.2065 0.2054
4.7296 4.7746 4.8122 4.8435 4.8696
87.4421 105.9306 128.1167 154.7400 186.6880
0.0114 0.0094 0.0078 0.0065 0.0054
19.3208 20.0419 20.6805 21.2439 21.7395
357.2106 444.6528 550.5833 678.7000 833.4400
4.0851 4.1976 4.2975 4.3861 4.4643
5.8796 5.9779 6.0640 6.1394 6.2053
7.5147 7.7218 7.9116 8.0857 8.2452
8.3552 8.6316 8.8895 9.1302 9.3548
9.8773 10.2991 10.7033 11.0907 11.4619
11.7895 12.4264 13.0526 13.6684 14.2739
13.3333 14.1667 15.0000 15.8333 16.6667
21 22 23 24 25
46.0051 55.2061 66.2474 79.4968 95.3962
0.0217 0.0181 0.0151 0.0126 0.0105
0.2044 0.2037 0.2031 0.2025 0.2021
4.8913 4.9094 4.9245 4.9371 4.9476
225.0256 271.0307 326.2369 392.4842 471.9811
0.0044 0.0037 0.0031 0.0025 0.0021
22.1742 22.5546 22.8867 23.1760 23.4276
1020.1280 1245.1536 1516.1843 1842.4212 2234.9054
4.5334 4.5941 4.6475 4.6943 4.7352
6.2629 6.3134 6.3576 6.3962 6.4300
8.3914 8.5255 8.6484 8.7610 8.8642
9.5645 9.7602 9.9429 10.1133 10.2724
11.8176 12.1586 12.4853 12.7984 13.0985
14.8694 15.4549 16.0306 16.5968 17.1535
17.5000 18.3333 19.1667 20.0000 20.8333
26 27 28 29 30
114.4755 137.3706 164.8447 197.8136 237.3763
0.0087 0.0073 0.0061 0.0051 0.0042
0.2018 0.2015 0.2012 0.2010 0.2008
4.9563 4.9636 4.9697 4.9747 4.9789
567.3773 681.8528 819.2233 984.0680 1181.8816
0.0018 0.0015 0.0012 0.0010 0.0008
23.6460 23.8353 23.9991 24.1406 24.2628
2706.8865 3274.2638 3956.1166 4775.3399 5759.4078
4.7709 4.8020 4.8291 4.8527 4.8731
6.4596 6.4855 6.5081 6.5279 6.5453
8.9589 9.0456 9.1252 9.1981 9.2649
10.4209 10.5595 10.6889 10.8097 10.9223
13.3860 13.6616 13.9257 14.1788 14.4214
17.7009 18.2393 18.7686 19.2891 19.8010
21.6667 22.5000 23.3333 24.1667 25.0000
35 40 45
590.6682 1469.7716 3657.2620
0.0017 0.0007 0.0003
0.2003 0.2001
4.9915 4.9966 4.9986
2948.3411 7343.8578 18281.3099
0.0003 0.0001
24.6614 24.8469 24.9316
14566.7057 36519.2892 91181.5497
4.9406 4.9728 4.9877
6.6044 6.6347 6.6503
9.5242 9.6921 9.8007
11.3826 11.7086 11.9395
15.4907 16.3550 17.0537
22.2351 24.4730 26.5305
29.1667 33.3333 37.5000
50 9100.4382 55 22644.8023 60 56347.5144 70 80 90 100
0.0001
4.9995 4.9998 4.9999 5.0000
45497.1908
24.9698 24.9868
4.9945 4.9976
6.6583 6.6624
9.8710 9.9165
12.1030 12.2189
17.6184 18.0749
28.4222 30.1614
41.6667 45.8333
24.9942 24.9989 24.9998
4.9989 4.9998 5.0000
6.6645 6.6661 6.6665 6.6666 6.6667
9.9460 9.9774 9.9905 9.9960 9.9983
12.3009 12.4001 12.4499 12.4749 12.4874
18.4439 18.9833 19.3357 19.5660 19.7164
31.7604 34.5822 36.9674 38.9836 40.6879
50.0000 58.3333 66.6667 75.0000 83.3333
http://www.itson.mx/dii/mconant/ 25%
30%
0.8333 1.7014 2.6056 3.5475 4.5287
0.8333 1.7361 2.7141 3.7736 4.9214
5.5507 6.6153 7.7243 8.8794 10.0828
6.1649 7.5120 8.9713 10.5522 12.2649
11.3362 12.6419 14.0020 15.4187 16.8945
14.1203 16.1304 18.3079 20.6669 23.2224
18.4318 20.0331 21.7011 23.4387 25.2486
25.9910 28.9902 32.2394 35.7594 39.5726
27.1340 29.0979 31.1436 33.2746 35.4944
43.7037 48.1790 53.0273 58.2795 63.9695
37.8067 40.2153 42.7242 45.3378 48.0602
70.1336 76.8114 84.0457 91.8828 100.3731
63.4712 82.3719 105.5523
154.6925 235.7448 356.6864
(P/A,i,j,n)
133.9814 168.8479
537.1486 806.4242
211.6093 328.3724 504.0001 768.1684 1165.5140
1208.2218 2702.3607 6029.0483 13435.8903 29927.1619
Factores de interes discreto capitalizado al : i =
25%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.2500 1.5625 1.9531 2.4414 3.0518
0.8000 0.6400 0.5120 0.4096 0.3277
1.2500 0.6944 0.5123 0.4234 0.3718
0.8000 1.4400 1.9520 2.3616 2.6893
1.0000 2.2500 3.8125 5.7656 8.2070
1.0000 0.4444 0.2623 0.1734 0.1218
0.0000 0.6400 1.6640 2.8928 4.2035
0.0000 1.0000 3.2500 7.0625 12.8281
0.0000 0.4444 0.8525 1.2249 1.5631
0.8000 1.4720 2.0365 2.5106 2.9089
0.8000 1.5040 2.1235 2.6687 3.1485
0.8000 1.5168 2.1591 2.7345 3.2501
0.8000 1.5360 2.2131 2.8361 3.4092
0.8000 1.5552 2.2681 2.9411 3.5764
0.8000 1.5680 2.3053 3.0131 3.6925
6 7 8 9 10
3.8147 4.7684 5.9605 7.4506 9.3132
0.2621 0.2097 0.1678 0.1342 0.1074
0.3388 0.3163 0.3004 0.2888 0.2801
2.9514 3.1611 3.3289 3.4631 3.5705
11.2588 15.0735 19.8419 25.8023 33.2529
0.0888 0.0663 0.0504 0.0388 0.0301
5.5142 6.7725 7.9469 9.0207 9.9870
21.0352 32.2939 47.3674 67.2093 93.0116
1.8683 2.1424 2.3872 2.6048 2.7971
3.2435 3.5245 3.7606 3.9589 4.1255
3.5706 3.9422 4.2691 4.5568 4.8100
3.7121 4.1261 4.4969 4.8293 5.1270
3.9364 4.4215 4.8678 5.2784 5.6561
4.1761 4.7423 5.2767 5.7812 6.2574
4.3448 4.9711 5.5722 6.1493 6.7033
11 12 13 14 15
11.6415 14.5519 18.1899 22.7374 28.4217
0.0859 0.0687 0.0550 0.0440 0.0352
0.2735 0.2684 0.2645 0.2615 0.2591
3.6564 3.7251 3.7801 3.8241 3.8593
42.5661 54.2077 68.7596 86.9495 109.6868
0.0235 0.0184 0.0145 0.0115 0.0091
10.8460 11.6020 12.2617 12.8334 13.3260
126.2645 168.8306 223.0383 291.7979 378.7474
2.9663 3.1145 3.2437 3.3559 3.4530
4.2654 4.3829 4.4817 4.5646 4.6343
5.0328 5.2289 5.4014 5.5532 5.6868
5.3938 5.6329 5.8470 6.0389 6.2109
6.0036 6.3233 6.6175 6.8881 7.1370
6.7070 7.1314 7.5321 7.9103 8.2673
7.2352 7.7458 8.2360 8.7065 9.1583
16 17 18 19 20
35.5271 44.4089 55.5112 69.3889 86.7362
0.0281 0.0225 0.0180 0.0144 0.0115
0.2572 0.2558 0.2546 0.2537 0.2529
3.8874 3.9099 3.9279 3.9424 3.9539
138.1085 173.6357 218.0446 273.5558 342.9447
0.0072 0.0058 0.0046 0.0037 0.0029
13.7482 14.1085 14.4147 14.6741 14.8932
488.4342 626.5427 800.1784 1018.2230 1291.7788
3.5366 3.6084 3.6698 3.7222 3.7667
4.6928 4.7419 4.7832 4.8179 4.8470
5.8044 5.9079 5.9989 6.0791 6.1496
6.3650 6.5030 6.6267 6.7375 6.8368
7.3661 7.5768 7.7706 7.9490 8.1131
8.6043 8.9225 9.2228 9.5064 9.7740
9.5919 10.0083 10.4079 10.7916 11.1600
21 22 23 24 25
108.4202 135.5253 169.4066 211.7582 264.6978
0.0092 0.0074 0.0059 0.0047 0.0038
0.2523 0.2519 0.2515 0.2512 0.2509
3.9631 3.9705 3.9764 3.9811 3.9849
429.6809 538.1011 673.6264 843.0329 1054.7912
0.0023 0.0019 0.0015 0.0012 0.0009
15.0777 15.2326 15.3625 15.4711 15.5618
1634.7235 2064.4043 2602.5054 3276.1318 4119.1647
3.8045 3.8365 3.8634 3.8861 3.9052
4.8715 4.8921 4.9093 4.9238 4.9360
6.2116 6.2662 6.3143 6.3566 6.3938
6.9258 7.0055 7.0769 7.1409 7.1983
8.2640 8.4029 8.5307 8.6482 8.7564
10.0267 10.2652 10.4903 10.7029 10.9035
11.5136 11.8530 12.1789 12.4917 12.7921
26 27 28 29 30
330.8722 413.5903 516.9879 646.2349 807.7936
0.0030 0.0024 0.0019 0.0015 0.0012
0.2508 0.2506 0.2505 0.2504 0.2503
3.9879 3.9903 3.9923 3.9938 3.9950
1319.4890 1650.3612 2063.9515 2580.9394 3227.1743
0.0008 0.0006 0.0005 0.0004 0.0003
15.6373 15.7002 15.7524 15.7957 15.8316
5173.9559 6493.4449 8143.8061 10207.7577 12788.6971
3.9212 3.9346 3.9457 3.9551 3.9628
4.9463 4.9549 4.9621 4.9682 4.9732
6.4265 6.4553 6.4807 6.5030 6.5227
7.2497 7.2957 7.3369 7.3739 7.4070
8.8558 8.9474 9.0316 9.1091 9.1803
11.0929 11.2717 11.4405 11.5998 11.7502
13.0804 13.3572 13.6229 13.8780 14.1228
0.0004 0.0001 0.0000
0.2501 0.2500
3.9984 3.9995 3.9998
9856.7613 30088.6554 91831.4962
0.0001 0.0000
15.9367 15.9766 15.9915
39287.0453
3.9858 3.9947 3.9980
4.9888 4.9953 4.9980
6.5907 6.6266 6.6455
7.5276 7.5972 7.6374
9.4598 9.6439 9.7653
12.3850 12.8608 13.2175
15.2079 16.0927 16.8141
35 2465.1903 40 7523.1638 45 22958.8740
50 70064.9232 55 60 70 80 90 100
3.9999 4.0000
15.9969 15.9989
3.9993 3.9997
4.9992 4.9997
6.6555 6.6608
7.6606 7.6740
9.8453 9.8981
13.4850 13.6854
17.4023 17.8819
15.9996 16.0000
3.9999 4.0000
4.9999 5.0000
6.6636 6.6658 6.6664 6.6666
7.6817 7.6888 7.6911 7.6919 7.6922
9.9328 9.9708 9.9873 9.9945 9.9976
13.8357 14.0328 14.1436 14.2058 14.2408
18.2730 18.8518 19.2366 19.4925 19.6626
http://www.itson.mx/dii/mconant/ 25%
30%
0.8000 1.6000 2.4000 3.2000 4.0000
0.8000 1.6320 2.4973 3.3972 4.3331
4.8000 5.6000 6.4000 7.2000 8.0000
5.3064 6.3186 7.3714 8.4662 9.6049
8.8000 9.6000 10.4000 11.2000 12.0000
10.7891 12.0206 13.3015 14.6335 16.0189
12.8000 13.6000 14.4000 15.2000 16.0000
17.4596 18.9580 20.5163 22.1370 23.8225
16.8000 17.6000 18.4000 19.2000 20.0000
25.5754 27.3984 29.2943 31.2661 33.3167
20.8000 21.6000 22.4000 23.2000 24.0000
35.4494 37.6674 39.9741 42.3730 44.8680
28.0000 32.0000 36.0000
58.9218 76.0204 96.8235
(P/A,i,j,n)
40.0000 44.0000
122.1337 152.9273
48.0000 56.0000 64.0000 72.0000 80.0000
190.3925 291.4324 440.9960 662.3867 990.0990
Factores de interes discreto capitalizado al : i =
30%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.3000 1.6900 2.1970 2.8561 3.7129
0.7692 0.5917 0.4552 0.3501 0.2693
1.3000 0.7348 0.5506 0.4616 0.4106
0.7692 1.3609 1.8161 2.1662 2.4356
1.0000 2.3000 3.9900 6.1870 9.0431
1.0000 0.4348 0.2506 0.1616 0.1106
0.0000 0.5917 1.5020 2.5524 3.6297
0.0000 1.0000 3.3000 7.2900 13.4770
0.0000 0.4348 0.8271 1.1783 1.4903
0.7692 1.3905 1.8924 2.2977 2.6250
0.7692 1.4201 1.9709 2.4369 2.8312
0.7692 1.4320 2.0029 2.4948 2.9186
0.7692 1.4497 2.0517 2.5842 3.0552
0.7692 1.4675 2.1012 2.6765 3.1987
0.7692 1.4793 2.1347 2.7398 3.2982
6 7 8 9 10
4.8268 6.2749 8.1573 10.6045 13.7858
0.2072 0.1594 0.1226 0.0943 0.0725
0.3784 0.3569 0.3419 0.3312 0.3235
2.6427 2.8021 2.9247 3.0190 3.0915
12.7560 17.5828 23.8577 32.0150 42.6195
0.0784 0.0569 0.0419 0.0312 0.0235
4.6656 5.6218 6.4800 7.2343 7.8872
22.5201 35.2761 52.8590 76.7167 108.7317
1.7654 2.0063 2.2156 2.3963 2.5512
2.8895 3.1030 3.2755 3.4148 3.5274
3.1649 3.4472 3.6861 3.8882 4.0593
3.2837 3.5983 3.8693 4.1028 4.3039
3.4719 3.8405 4.1666 4.4551 4.7103
3.6726 4.1029 4.4934 4.8478 5.1696
3.8138 4.2896 4.7289 5.1343 5.5086
11 12 13 14 15
17.9216 23.2981 30.2875 39.3738 51.1859
0.0558 0.0429 0.0330 0.0254 0.0195
0.3177 0.3135 0.3102 0.3078 0.3060
3.1473 3.1903 3.2233 3.2487 3.2682
56.4053 74.3270 97.6250 127.9125 167.2863
0.0177 0.0135 0.0102 0.0078 0.0060
8.4452 8.9173 9.3135 9.6437 9.9172
151.3512 207.7565 282.0835 379.7085 507.6210
2.6833 2.7952 2.8895 2.9685 3.0344
3.6183 3.6917 3.7510 3.7989 3.8375
4.2040 4.3265 4.4301 4.5178 4.5920
4.4772 4.6265 4.7552 4.8660 4.9615
4.9360 5.1357 5.3124 5.4686 5.6069
5.4616 5.7267 5.9673 6.1857 6.3839
5.8541 6.1730 6.4674 6.7392 6.9900
16 17 18 19 20
66.5417 86.5042 112.4554 146.1920 190.0496
0.0150 0.0116 0.0089 0.0068 0.0053
0.3046 0.3035 0.3027 0.3021 0.3016
3.2832 3.2948 3.3037 3.3105 3.3158
218.4722 285.0139 371.5180 483.9734 630.1655
0.0046 0.0035 0.0027 0.0021 0.0016
10.1426 10.3276 10.4788 10.6019 10.7019
674.9073 893.3795 1178.3934 1549.9114 2033.8849
3.0892 3.1345 3.1718 3.2025 3.2275
3.8688 3.8940 3.9144 3.9309 3.9442
4.6547 4.7078 4.7528 4.7908 4.8230
5.0437 5.1146 5.1757 5.2283 5.2736
5.7291 5.8373 5.9330 6.0177 6.0926
6.5639 6.7272 6.8755 7.0100 7.1322
7.2215 7.4353 7.6325 7.8147 7.9828
21 22 23 24 25
247.0645 321.1839 417.5391 542.8008 705.6410
0.0040 0.0031 0.0024 0.0018 0.0014
0.3012 0.3009 0.3007 0.3006 0.3004
3.3198 3.3230 3.3254 3.3272 3.3286
820.2151 1067.2796 1388.4635 1806.0026 2348.8033
0.0012 0.0009 0.0007 0.0006 0.0004
10.7828 10.8482 10.9009 10.9433 10.9773
2664.0503 3484.2654 4551.5450 5940.0086 7746.0111
3.2480 3.2646 3.2781 3.2890 3.2979
3.9549 3.9636 3.9706 3.9762 3.9808
4.8502 4.8733 4.8928 4.9093 4.9232
5.3126 5.3463 5.3752 5.4002 5.4217
6.1588 6.2174 6.2692 6.3151 6.3557
7.2431 7.3437 7.4351 7.5180 7.5932
8.1379 8.2812 8.4134 8.5354 8.6481
26 27 28 29 30
917.3333 1192.5333 1550.2933 2015.3813 2619.9956
0.0011 0.0008 0.0006 0.0005 0.0004
0.3003 0.3003 0.3002 0.3001
3.3297 3.3305 3.3312 3.3317 3.3321
3054.4443 3971.7776 5164.3109 6714.6042 8729.9855
0.0003 0.0003 0.0002 0.0001
11.0045 11.0263 11.0437 11.0576 11.0687
10094.8145 13149.2588 17121.0364 22285.3474 28999.9516
3.3050 3.3107 3.3153 3.3189 3.3219
3.9845 3.9875 3.9899 3.9918 3.9934
4.9350 4.9450 4.9535 4.9606 4.9667
5.4402 5.4562 5.4700 5.4818 5.4920
6.3915 6.4233 6.4514 6.4762 6.4982
7.6616 7.7236 7.7799 7.8309 7.8773
8.7521 8.8481 8.9367 9.0185 9.0940
35 9727.8604 40 36118.8648 45
0.0001
3.3330 3.3332 3.3333
32422.8681
3.3297 3.3322 3.3330
3.9977 3.9992 3.9997
4.9856 4.9937 4.9973
5.5254 5.5412 5.5488
6.5754 6.6172 6.6399
8.0524 8.1602 8.2267
9.3928 9.5931 9.7273
11.0980 11.1071 11.1099
50 55
11.1108 11.1110
60 70 80 90 100
11.1111
3.3332 3.3333
3.9999 4.0000
4.9988 4.9995
5.5523 5.5540
6.6522 6.6588
8.2676 8.2928
9.8172 9.8775
4.9998 5.0000
5.5548 5.5554 5.5555
6.6624 6.6654 6.6663 6.6666
8.3084 8.3239 8.3297 8.3320 8.3328
9.9179 9.9631 9.9834 9.9926 9.9967
http://www.itson.mx/dii/mconant/ 25%
30%
0.7692 1.5089 2.2201 2.9039 3.5615
0.7692 1.5385 2.3077 3.0769 3.8462
4.1937 4.8016 5.3862 5.9483 6.4887
4.6154 5.3846 6.1538 6.9231 7.6923
7.0084 7.5081 7.9885 8.4505 8.8947
8.4615 9.2308 10.0000 10.7692 11.5385
9.3218 9.7325 10.1274 10.5072 10.8723
12.3077 13.0769 13.8462 14.6154 15.3846
11.2233 11.5609 11.8855 12.1976 12.4977
16.1538 16.9231 17.6923 18.4615 19.2308
12.7862 13.0637 13.3305 13.5870 13.8336
20.0000 20.7692 21.5385 22.3077 23.0769
14.9317 15.8342 16.5760
26.9231 30.7692 34.6154
(P/A,i,j,n)
17.1857 17.6869
38.4615 42.3077
18.0988 18.7156 19.1323 19.4138 19.6040
46.1538 53.8462 61.5385 69.2308 76.9231
Factores de interes discreto capitalizado al : i =
40%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.4000 1.9600 2.7440 3.8416 5.3782
0.7143 0.5102 0.3644 0.2603 0.1859
1.4000 0.8167 0.6294 0.5408 0.4914
0.7143 1.2245 1.5889 1.8492 2.0352
1.0000 2.4000 4.3600 7.1040 10.9456
1.0000 0.4167 0.2294 0.1408 0.0914
0.0000 0.5102 1.2391 2.0200 2.7637
0.0000 1.0000 3.4000 7.7600 14.8640
0.0000 0.4167 0.7798 1.0923 1.3580
0.7143 1.2500 1.6518 1.9531 2.1791
0.7143 1.2755 1.7165 2.0629 2.3352
0.7143 1.2857 1.7429 2.1086 2.4011
0.7143 1.3010 1.7830 2.1789 2.5041
0.7143 1.3163 1.8238 2.2515 2.6119
0.7143 1.3265 1.8513 2.3011 2.6867
6 7 8 9 10
7.5295 10.5414 14.7579 20.6610 28.9255
0.1328 0.0949 0.0678 0.0484 0.0346
0.4613 0.4419 0.4291 0.4203 0.4143
2.1680 2.2628 2.3306 2.3790 2.4136
16.3238 23.8534 34.3947 49.1526 69.8137
0.0613 0.0419 0.0291 0.0203 0.0143
3.4278 3.9970 4.4713 4.8585 5.1696
25.8096 42.1334 65.9868 100.3815 149.5342
1.5811 1.7664 1.9185 2.0422 2.1419
2.3486 2.4758 2.5711 2.6426 2.6962
2.5491 2.7171 2.8492 2.9529 3.0344
2.6352 2.8224 2.9722 3.0921 3.1879
2.7712 2.9906 3.1709 3.3189 3.4406
2.9158 3.1719 3.3877 3.5696 3.7230
3.0172 3.3004 3.5432 3.7513 3.9297
11 12 13 14 15
40.4957 56.6939 79.3715 111.1201 155.5681
0.0247 0.0176 0.0126 0.0090 0.0064
0.4101 0.4072 0.4051 0.4036 0.4026
2.4383 2.4559 2.4685 2.4775 2.4839
98.7391 139.2348 195.9287 275.3002 386.4202
0.0101 0.0072 0.0051 0.0036 0.0026
5.4166 5.6106 5.7618 5.8788 5.9688
219.3478 318.0870 457.3217 653.2504 928.5506
2.2215 2.2845 2.3341 2.3729 2.4030
2.7365 2.7666 2.7893 2.8062 2.8190
3.0985 3.1488 3.1883 3.2194 3.2438
3.2646 3.3260 3.3751 3.4144 3.4458
3.5405 3.6225 3.6899 3.7453 3.7908
3.8522 3.9612 4.0530 4.1304 4.1956
4.0826 4.2137 4.3260 4.4223 4.5048
16 17 18 19 20
217.7953 304.9135 426.8789 597.6304 836.6826
0.0046 0.0033 0.0023 0.0017 0.0012
0.4018 0.4013 0.4009 0.4007 0.4005
2.4885 2.4918 2.4941 2.4958 2.4970
541.9883 759.7837 1064.6971 1491.5760 2089.2064
0.0018 0.0013 0.0009 0.0007 0.0005
6.0376 6.0901 6.1299 6.1601 6.1828
1314.9708 1856.9592 2616.7428 3681.4400 5173.0160
2.4262 2.4441 2.4577 2.4682 2.4761
2.8285 2.8357 2.8410 2.8451 2.8481
3.2630 3.2781 3.2899 3.2992 3.3065
3.4709 3.4910 3.5071 3.5200 3.5303
3.8281 3.8588 3.8840 3.9047 3.9218
4.2506 4.2969 4.3360 4.3689 4.3966
4.5756 4.6362 4.6882 4.7327 4.7709
21 22 23 24 25
1171.3556 1639.8978 2295.8569 3214.1997 4499.8796
0.0009 0.0006 0.0004 0.0003 0.0002
0.4003 0.4002 0.4002 0.4001
2.4979 2.4985 2.4989 2.4992 2.4994
2925.8889 4097.2445 5737.1423 8032.9993 11247.1990
0.0003 0.0002 0.0002 0.0001
6.1998 6.2127 6.2222 6.2294 6.2347
7262.2223 10188.1113 14285.3558 20022.4981 28055.4974
2.4821 2.4866 2.4900 2.4925 2.4944
2.8503 2.8520 2.8533 2.8543 2.8550
3.3123 3.3168 3.3203 3.3231 3.3253
3.5385 3.5451 3.5503 3.5546 3.5579
3.9357 3.9472 3.9566 3.9644 3.9707
4.4200 4.4397 4.4563 4.4703 4.4822
4.8036 4.8317 4.8557 4.8763 4.8940
26 6299.8314 27 8819.7640 28 12347.6696 29 17286.7374 30 24201.4324
0.0002 0.0001
2.4996 2.4997 2.4998 2.4999
15747.0785 22046.9099 30866.6739 43214.3435 60501.0809
6.2387 6.2416 6.2438 6.2454 6.2466
39302.6963 55049.7749 77096.6848
2.4959 2.4969 2.4977 2.4983 2.4988
2.8555 2.8559 2.8562 2.8565 2.8566
3.3270 3.3284 3.3294 3.3303 3.3309
3.5606 3.5628 3.5645 3.5659 3.5670
3.9760 3.9803 3.9838 3.9867 3.9891
4.4921 4.5005 4.5076 4.5135 4.5185
4.9091 4.9221 4.9332 4.9428 4.9510
2.4997 2.4999 2.5000
2.8570 2.8571
3.3326 3.3331 3.3333
3.5700 3.5710 3.5713
3.9959 3.9985 3.9994
4.5340 4.5406 4.5434
4.9773 4.9895 4.9951
35 40 45
6.2493 6.2498 6.2500
50 55 60 70 80 90 100
3.5714
3.9998 3.9999
4.5446 4.5451
4.9978 4.9990
4.0000
4.5453 4.5454
4.9995 4.9999 5.0000
http://www.itson.mx/dii/mconant/ 25%
30%
0.7143 1.3520 1.9215 2.4299 2.8838
0.7143 1.3776 1.9934 2.5653 3.0964
3.2891 3.6510 3.9741 4.2626 4.5202
3.5895 4.0474 4.4726 4.8674 5.2340
4.7502 4.9555 5.1388 5.3025 5.4487
5.5744 5.8905 6.1841 6.4566 6.7097
5.5792 5.6957 5.7997 5.8926 5.9756
6.9448 7.1630 7.3656 7.5538 7.7285
6.0496 6.1157 6.1747 6.2275 6.2745
7.8908 8.0414 8.1813 8.3112 8.4319
6.3165 6.3540 6.3875 6.4174 6.4441
8.5439 8.6479 8.7445 8.8341 8.9174
6.5404 6.5950 6.6260
9.2526 9.4840 9.6438
(P/A,i,j,n)
6.6436 6.6536
9.7541 9.8302
6.6592 6.6643 6.6659 6.6664 6.6666
9.8828 9.9441 9.9734 9.9873 9.9940
Factores de interes discreto capitalizado al : i =
50%
http://www.itson.mx/dii/m 5%
10%
12%
15%
18%
20%
(P/A,i,j,n)
n
(F/P,i,n)
(P/F,i,n)
(A/P,i,n)
(P/A,i,n)
(F/A,i,n)
(A/F,i,n)
(P/G,i,n)
(F/G,i,n)
(A/G,i,n)
1 2 3 4 5
1.5000 2.2500 3.3750 5.0625 7.5938
0.6667 0.4444 0.2963 0.1975 0.1317
1.5000 0.9000 0.7105 0.6231 0.5758
0.6667 1.1111 1.4074 1.6049 1.7366
1.0000 2.5000 4.7500 8.1250 13.1875
1.0000 0.4000 0.2105 0.1231 0.0758
0.0000 0.4444 1.0370 1.6296 2.1564
0.0000 1.0000 3.5000 8.2500 16.3750
0.0000 0.4000 0.7368 1.0154 1.2417
0.6667 1.1333 1.4600 1.6887 1.8487
0.6667 1.1556 1.5141 1.7770 1.9698
0.6667 1.1644 1.5361 1.8136 2.0208
0.6667 1.1778 1.5696 1.8700 2.1004
0.6667 1.1911 1.6037 1.9282 2.1835
0.6667 1.2000 1.6267 1.9680 2.2411
6 7 8 9 10
11.3906 17.0859 25.6289 38.4434 57.6650
0.0878 0.0585 0.0390 0.0260 0.0173
0.5481 0.5311 0.5203 0.5134 0.5088
1.8244 1.8829 1.9220 1.9480 1.9653
20.7813 32.1719 49.2578 74.8867 113.3301
0.0481 0.0311 0.0203 0.0134 0.0088
2.5953 2.9465 3.2196 3.4277 3.5838
29.5625 50.3438 82.5156 131.7734 206.6602
1.4226 1.5648 1.6752 1.7596 1.8235
1.9608 2.0392 2.0941 2.1325 2.1594
2.1112 2.2149 2.2909 2.3467 2.3876
2.1756 2.2911 2.3773 2.4418 2.4898
2.2770 2.4123 2.5161 2.5957 2.6567
2.3844 2.5424 2.6667 2.7644 2.8414
2.4595 2.6343 2.7741 2.8859 2.9754
11 12 13 14 15
86.4976 129.7463 194.6195 291.9293 437.8939
0.0116 0.0077 0.0051 0.0034 0.0023
0.5058 0.5039 0.5026 0.5017 0.5011
1.9769 1.9846 1.9897 1.9931 1.9954
170.9951 257.4927 387.2390 581.8585 873.7878
0.0058 0.0039 0.0026 0.0017 0.0011
3.6994 3.7842 3.8459 3.8904 3.9224
319.9902 490.9854 748.4780 1135.7170 1717.5756
1.8713 1.9068 1.9329 1.9519 1.9657
2.1783 2.1915 2.2007 2.2072 2.2117
2.4175 2.4395 2.4557 2.4675 2.4762
2.5257 2.5526 2.5726 2.5875 2.5987
2.7035 2.7393 2.7668 2.7879 2.8041
2.9019 2.9495 2.9869 3.0164 3.0396
3.0470 3.1043 3.1501 3.1867 3.2161
16 17 18 19 20
656.8408 985.2613 1477.8919 2216.8378 3325.2567
0.0015 0.0010 0.0007 0.0005 0.0003
0.5008 0.5005 0.5003 0.5002 0.5002
1.9970 1.9980 1.9986 1.9991 1.9994
1311.6817 1968.5225 2953.7838 4431.6756 6648.5135
0.0008 0.0005 0.0003 0.0002
3.9452 3.9614 3.9729 3.9811 3.9868
2591.3633 3903.0450 5871.5675 8825.3513 13257.0269
1.9756 1.9827 1.9878 1.9914 1.9940
2.2148 2.2171 2.2186 2.2197 2.2204
2.4825 2.4872 2.4906 2.4931 2.4949
2.6070 2.6132 2.6179 2.6214 2.6239
2.8164 2.8259 2.8332 2.8388 2.8431
3.0578 3.0721 3.0834 3.0923 3.0993
3.2395 3.2583 3.2733 3.2853 3.2949
21 4987.8851 22 7481.8276 23 11222.7415 24 16834.1122 25 25251.1683
0.0002 0.0001
0.5001
1.9996 1.9997 1.9998 1.9999
9973.7702 14961.6553 22443.4829 33666.2244 50500.3366
0.0001
3.9908 3.9936 3.9955 3.9969 3.9979
19905.5404 29879.3106 44840.9659 67284.4488
1.9958 1.9971 1.9980 1.9986 1.9990
2.2210 2.2214 2.2216 2.2218 2.2219
2.4963 2.4973 2.4980 2.4985 2.4989
2.6259 2.6273 2.6284 2.6292 2.6298
2.8464 2.8489 2.8508 2.8523 2.8534
3.1047 3.1091 3.1125 3.1151 3.1172
3.3026 3.3087 3.3137 3.3176 3.3207
3.9985 3.9990 3.9993 3.9995 3.9997
1.9993 1.9995 1.9997 1.9998 1.9998
2.2220 2.2221
2.4992 2.4994 2.4996 2.4997 2.4998
2.6303 2.6306 2.6308 2.6310 2.6312
2.8543 2.8550 2.8555 2.8559 2.8562
3.1189 3.1202 3.1212 3.1220 3.1227
3.3233 3.3253 3.3269 3.3282 3.3292
3.9999 4.0000
2.0000
2.5000
2.6315 2.6316
2.8569 2.8571
3.1243 3.1248 3.1249
3.3320 3.3329 3.3332
26 37876.7524 27 56815.1287 28 85222.6930 29 30 35 40 45
75751.5049
50 55 60 70 80 90 100
3.1250
3.3333
http://www.itson.mx/dii/mconant/ 25%
30%
0.6667 1.2222 1.6852 2.0710 2.3925
0.6667 1.2444 1.7452 2.1792 2.5553
2.6604 2.8837 3.0697 3.2248 3.3540
2.8812 3.1637 3.4086 3.6208 3.8047
3.4616 3.5514 3.6261 3.6885 3.7404
3.9640 4.1022 4.2219 4.3256 4.4155
3.7836 3.8197 3.8498 3.8748 3.8957
4.4935 4.5610 4.6195 4.6703 4.7142
3.9131 3.9275 3.9396 3.9497 3.9581
4.7523 4.7854 4.8140 4.8388 4.8603
3.9651 3.9709 3.9757 3.9798 3.9831
4.8789 4.8951 4.9090 4.9212 4.9317
3.9932 3.9973 3.9989
4.9666 4.9837 4.9920
(P/A,i,j,n)
3.9996 3.9998
4.9961 4.9981
3.9999 4.0000
4.9991 4.9998 4.9999 5.0000