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UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
1 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
0.25%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9975062 0.9950187 0.9925373 0.9900622 0.9875932 0.9851304 0.9826737 0.9802231 0.9777787 0.9753403 0.9729081 0.9704819 0.9680617 0.9656476 0.9632395 0.9608374 0.9584413 0.9560512 0.9536670 0.9512888 0.9489165 0.9465501 0.9441896 0.9418351 0.9394863 0.9371435 0.9348065 0.9324753 0.9301499 0.9278303 0.9255165 0.9232085 0.9209062 0.9186097 0.9163189 0.9140338 0.9117545 0.9094807 0.9072127 0.9049503 0.8826346 0.8608691 0.8396404 0.8189351 0.7987405 0.7790438
1.0025000 1.0050063 1.0075188 1.0100376 1.0125627 1.0150941 1.0176318 1.0201759 1.0227263 1.0252831 1.0278463 1.0304160 1.0329920 1.0355745 1.0381634 1.0407588 1.0433607 1.0459691 1.0485840 1.0512055 1.0538335 1.0564681 1.0591093 1.0617570 1.0644114 1.0670725 1.0697401 1.0724145 1.0750955 1.0777833 1.0804777 1.0831789 1.0858869 1.0886016 1.0913231 1.0940514 1.0967865 1.0995285 1.1022773 1.1050330 1.1329717 1.1616168 1.1909861 1.2210980 1.2519711 1.2836249
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A 0.9975062 1.9925249 2.9850623 3.9751245 4.9627177 5.9478480 6.9305217 7.9107449 8.8885236 9.8638639 10.8367720 11.8072538 12.7753156 13.7409631 14.7042026 15.6650400 16.6234813 17.5795325 18.5331995 19.4844883 20.4334048 21.3799549 22.3241445 23.2659796 24.2054659 25.1426094 26.0774158 27.0098911 27.9400410 28.8678713 29.7933879 30.7165964 31.6375026 32.5561123 33.4724313 34.3864651 35.2982196 36.2077003 37.1149130 38.0198634 46.9461704 55.6523577 64.1438534 72.4259517 80.5038163 88.3824835
A/P 1.0025000 0.5018758 0.3350014 0.2515645 0.2015025 0.1681280 0.1442893 0.1264103 0.1125046 0.1013801 0.0922784 0.0846937 0.0782760 0.0727751 0.0680078 0.0638364 0.0601559 0.0568843 0.0539572 0.0513229 0.0489395 0.0467728 0.0447945 0.0429812 0.0413130 0.0397731 0.0383474 0.0370235 0.0357909 0.0346406 0.0335645 0.0325557 0.0316081 0.0307162 0.0298753 0.0290812 0.0283300 0.0276184 0.0269433 0.0263020 0.0213010 0.0179687 0.0155900 0.0138072 0.0124218 0.0113145
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.0025000 3.0075062 4.0150250 5.0250626 6.0376252 7.0527193 8.0703511 9.0905270 10.1132533 11.1385364 12.1663828 13.1967987 14.2297907 15.2653652 16.3035286 17.3442874 18.3876481 19.4336173 20.4822013 21.5334068 22.5872403 23.6437084 24.7028177 25.7645747 26.8289862 27.8960587 28.9657988 30.0382133 31.1133088 32.1910921 33.2715698 34.3547488 35.4406356 36.5292372 37.6205603 38.7146117 39.8113982 40.9109267 42.0132041 53.1886828 64.6467126 76.3944374 88.4391814 100.7884543 113.4499555
1.0000000 0.4993758 0.3325014 0.2490645 0.1990025 0.1656280 0.1417893 0.1239103 0.1100046 0.0988801 0.0897784 0.0821937 0.0757760 0.0702751 0.0655078 0.0613364 0.0576559 0.0543843 0.0514572 0.0488229 0.0464395 0.0442728 0.0422945 0.0404812 0.0388130 0.0372731 0.0358474 0.0345235 0.0332909 0.0321406 0.0310645 0.0300557 0.0291081 0.0282162 0.0273753 0.0265812 0.0258300 0.0251184 0.0244433 0.0238020 0.0188010 0.0154687 0.0130900 0.0113072 0.0099218 0.0088145
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.9950187 2.9800934 5.9502799 9.9006528 14.8263047 20.7223468 27.5839088 35.4061383 44.1842014 53.9132821 64.5885826 76.2053231 88.7587418 102.2440948 116.6566558 131.9917165 148.2445864 165.4105924 183.4850792 202.4634090 222.3409613 243.1131334 264.7753396 287.3230116 310.7515985 335.0565665 360.2333988 386.2775960 413.1846753 440.9501712 469.5696350 499.0386348 529.3527555 560.5075988 592.4987831 625.3219434 658.9727311 693.4468144 728.7398777 1125.7766663 1600.0845359 2147.6110919 2764.4568123 3446.8699729 4191.2417291
0.0000000 0.4993758 0.9983354 1.4968789 1.9950063 2.4927175 2.9900125 3.4868915 3.9833543 4.4794010 4.9750315 5.4702460 5.9650443 6.4594265 6.9533927 7.4469427 7.9400767 8.4327946 8.9250964 9.4169822 9.9084519 10.3995056 10.8901433 11.3803650 11.8701707 12.3595604 12.8485341 13.3370919 13.8252337 14.3129596 14.8002695 15.2871636 15.7736418 16.2597042 16.7453507 17.2305813 17.7153962 18.1997952 18.6837785 19.1673460 23.9801598 28.7514241 33.4811674 38.1694234 42.8162307 47.4216334
F/G 0.0000000 1.0000000 3.0025000 6.0100062 10.0250313 15.0500938 21.0877191 28.1404384 36.2107895 45.3013164 55.4145697 66.5531062 78.7194889 91.9162876 106.1460784 121.4114436 137.7149722 155.0592596 173.4469078 192.8805250 213.3627263 234.8961331 257.4833735 281.1270819 305.8298996 331.5944744 358.4234606 386.3195192 415.2853180 445.3235313 476.4368401 508.6279322 541.8995021 576.2542508 611.6948864 648.2241237 685.8446840 724.5592957 764.3706939 805.2816207 1275.4731112 1858.6850488 2557.7749445 3375.6725560 4315.3817147 5379.9821982
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
2 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
0.50%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9950249 0.9900745 0.9851488 0.9802475 0.9753707 0.9705181 0.9656896 0.9608852 0.9561047 0.9513479 0.9466149 0.9419053 0.9372192 0.9325565 0.9279169 0.9233004 0.9187068 0.9141362 0.9095882 0.9050629 0.9005601 0.8960797 0.8916216 0.8871857 0.8827718 0.8783799 0.8740099 0.8696616 0.8653349 0.8610297 0.8567460 0.8524836 0.8482424 0.8440223 0.8398231 0.8356449 0.8314875 0.8273507 0.8232346 0.8191389 0.7792861 0.7413722 0.7053029 0.6709885 0.6383435 0.6072868
1.0050000 1.0100250 1.0150751 1.0201505 1.0252513 1.0303775 1.0355294 1.0407070 1.0459106 1.0511401 1.0563958 1.0616778 1.0669862 1.0723211 1.0776827 1.0830712 1.0884865 1.0939289 1.0993986 1.1048956 1.1104201 1.1159722 1.1215520 1.1271598 1.1327956 1.1384596 1.1441519 1.1498726 1.1556220 1.1614001 1.1672071 1.1730431 1.1789083 1.1848029 1.1907269 1.1966805 1.2026639 1.2086772 1.2147206 1.2207942 1.2832258 1.3488502 1.4178305 1.4903386 1.5665547 1.6466685
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A 0.9950249 1.9850994 2.9702481 3.9504957 4.9258663 5.8963844 6.8620740 7.8229592 8.7790639 9.7304119 10.6770267 11.6189321 12.5561513 13.4887078 14.4166246 15.3399250 16.2586319 17.1727680 18.0823562 18.9874191 19.8879793 20.7840590 21.6756806 22.5628662 23.4456380 24.3240179 25.1980278 26.0676894 26.9330242 27.7940540 28.6508000 29.5032835 30.3515259 31.1955482 32.0353713 32.8710162 33.7025037 34.5298544 35.3530890 36.1722279 44.1427863 51.7255608 58.9394176 65.8023054 72.3312996 78.5426448
A/P 1.0050000 0.5037531 0.3366722 0.2531328 0.2030100 0.1695955 0.1457285 0.1278289 0.1139074 0.1027706 0.0936590 0.0860664 0.0796422 0.0741361 0.0693644 0.0651894 0.0615058 0.0582317 0.0553025 0.0526665 0.0502816 0.0481138 0.0461347 0.0443206 0.0426519 0.0411116 0.0396856 0.0383617 0.0371291 0.0359789 0.0349030 0.0338945 0.0329473 0.0320559 0.0312155 0.0304219 0.0296714 0.0289604 0.0282861 0.0276455 0.0226538 0.0193328 0.0169666 0.0151970 0.0138253 0.0127319
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.0050000 3.0150250 4.0301001 5.0502506 6.0755019 7.1058794 8.1414088 9.1821158 10.2280264 11.2791665 12.3355624 13.3972402 14.4642264 15.5365475 16.6142303 17.6973014 18.7857879 19.8797169 20.9791154 22.0840110 23.1944311 24.3104032 25.4319552 26.5591150 27.6919106 28.8303701 29.9745220 31.1243946 32.2800166 33.4414167 34.6086237 35.7816669 36.9605752 38.1453781 39.3361050 40.5327855 41.7354494 42.9441267 44.1588473 56.6451630 69.7700305 83.5661055 98.0677136 113.3109358 129.3336984
1.0000000 0.4987531 0.3316722 0.2481328 0.1980100 0.1645955 0.1407285 0.1228289 0.1089074 0.0977706 0.0886590 0.0810664 0.0746422 0.0691361 0.0643644 0.0601894 0.0565058 0.0532317 0.0503025 0.0476665 0.0452816 0.0431138 0.0411347 0.0393206 0.0376519 0.0361116 0.0346856 0.0333617 0.0321291 0.0309789 0.0299030 0.0288945 0.0279473 0.0270559 0.0262155 0.0254219 0.0246714 0.0239604 0.0232861 0.0226455 0.0176538 0.0143328 0.0119666 0.0101970 0.0088253 0.0077319
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.9900745 2.9603720 5.9011146 9.8025973 14.6551877 20.4493254 27.1755219 34.8243593 43.3864908 52.8526394 63.2135982 74.4602291 86.5834631 99.5742994 113.4238050 128.1231144 143.6634291 160.0360171 177.2322123 195.2434143 214.0610882 233.6767633 254.0820337 275.2685571 297.2280549 319.9523113 343.4331732 367.6625498 392.6324120 418.3347920 444.7617830 471.9055389 499.7582734 528.3122603 557.5598325 587.4933818 618.1053587 649.3882718 681.3346874 1035.6965874 1448.6457953 1913.6427419 2424.6455078 2976.0768787 3562.7934297
0.0000000 0.4987531 0.9966750 1.4937656 1.9900250 2.4854532 2.9800502 3.4738161 3.9667509 4.4588545 4.9501271 5.4405687 5.9301793 6.4189591 6.9069079 7.3940260 7.8803134 8.3657701 8.8503962 9.3341918 9.8171570 10.2992918 10.7805964 11.2610708 11.7407151 12.2195295 12.6975140 13.1746688 13.6509939 14.1264895 14.6011557 15.0749927 15.5480005 16.0201792 16.4915292 16.9620503 17.4317430 17.9006071 18.3686430 18.8358508 23.4624199 28.0063816 32.4679615 36.8474249 41.1450768 45.3612613
F/G 0.0000000 1.0000000 3.0050000 6.0200250 10.0501251 15.1003758 21.1758776 28.2817570 36.4231658 45.6052816 55.8333080 67.1124746 79.4480370 92.8452771 107.3095035 122.8460510 139.4602813 157.1575827 175.9433706 195.8230875 216.8022029 238.8862139 262.0806450 286.3910482 311.8230035 338.3821185 366.0740291 394.9043992 424.8789212 456.0033158 488.2833324 521.7247491 556.3333728 592.1150397 629.0756149 667.2209929 706.5570979 747.0898834 788.8253328 831.7694595 1329.0325974 1954.0061020 2713.2210982 3613.5427136 4662.1871594 5866.7396847
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
3 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
0.75%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9925558 0.9851671 0.9778333 0.9705542 0.9633292 0.9561580 0.9490402 0.9419754 0.9349632 0.9280032 0.9210949 0.9142382 0.9074324 0.9006773 0.8939725 0.8873177 0.8807123 0.8741561 0.8676488 0.8611899 0.8547790 0.8484159 0.8421001 0.8358314 0.8296093 0.8234336 0.8173038 0.8112197 0.8051808 0.7991869 0.7932376 0.7873326 0.7814716 0.7756542 0.7698801 0.7641490 0.7584605 0.7528144 0.7472103 0.7416480 0.6882516 0.6386997 0.5927153 0.5500417 0.5104404 0.4736903
1.0075000 1.0150563 1.0226692 1.0303392 1.0380667 1.0458522 1.0536961 1.0615988 1.0695608 1.0775825 1.0856644 1.0938069 1.1020104 1.1102755 1.1186026 1.1269921 1.1354446 1.1439604 1.1525401 1.1611841 1.1698930 1.1786672 1.1875072 1.1964135 1.2053866 1.2144270 1.2235352 1.2327117 1.2419571 1.2512718 1.2606563 1.2701112 1.2796371 1.2892343 1.2989036 1.3086454 1.3184602 1.3283487 1.3383113 1.3483486 1.4529569 1.5656810 1.6871505 1.8180440 1.9590925 2.1110838
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A 0.9925558 1.9777229 2.9555562 3.9261104 4.8894396 5.8455976 6.7946378 7.7366132 8.6715764 9.5995796 10.5206745 11.4349127 12.3423451 13.2430224 14.1369950 15.0243126 15.9050249 16.7791811 17.6468298 18.5080197 19.3627987 20.2112146 21.0533147 21.8891461 22.7187555 23.5421891 24.3594929 25.1707125 25.9758933 26.7750802 27.5683178 28.3556504 29.1371220 29.9127762 30.6826563 31.4468053 32.2052658 32.9580802 33.7052905 34.4469384 41.5664471 48.1733735 54.3046221 59.9944401 65.2746092 70.1746227
A/P 1.0075000 0.5056320 0.3383458 0.2547050 0.2045224 0.1710689 0.1471749 0.1292555 0.1153193 0.1041712 0.0950509 0.0874515 0.0810219 0.0755115 0.0707364 0.0665588 0.0628732 0.0595977 0.0566674 0.0540306 0.0516454 0.0494775 0.0474985 0.0456847 0.0440165 0.0424769 0.0410518 0.0397287 0.0384972 0.0373482 0.0362735 0.0352663 0.0343205 0.0334305 0.0325917 0.0317997 0.0310508 0.0303416 0.0296689 0.0290302 0.0240579 0.0207584 0.0184146 0.0166682 0.0153199 0.0142502
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.0075000 3.0225563 4.0452254 5.0755646 6.1136313 7.1594836 8.2131797 9.2747786 10.3443394 11.4219219 12.5075864 13.6013933 14.7034037 15.8136792 16.9322818 18.0592739 19.1947185 20.3386789 21.4912190 22.6524031 23.8222961 25.0009634 26.1884706 27.3848841 28.5902707 29.8046978 31.0282330 32.2609448 33.5029018 34.7541736 36.0148299 37.2849411 38.5645782 39.8538125 41.1527161 42.4613615 43.7798217 45.1081704 46.4464816 60.3942573 75.4241369 91.6200729 109.0725307 127.8789947 148.1445120
1.0000000 0.4981320 0.3308458 0.2472050 0.1970224 0.1635689 0.1396749 0.1217555 0.1078193 0.0966712 0.0875509 0.0799515 0.0735219 0.0680115 0.0632364 0.0590588 0.0553732 0.0520977 0.0491674 0.0465306 0.0441454 0.0419775 0.0399985 0.0381847 0.0365165 0.0349769 0.0335518 0.0322287 0.0309972 0.0298482 0.0287735 0.0277663 0.0268205 0.0259305 0.0250917 0.0242997 0.0235508 0.0228416 0.0221689 0.0215302 0.0165579 0.0132584 0.0109146 0.0091682 0.0078199 0.0067502
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.9851671 2.9408337 5.8524963 9.7058131 14.4866032 20.1808444 26.7746723 34.2543777 42.6064060 51.8173555 61.8739752 72.7631641 84.4719694 96.9875849 110.2973498 124.3887468 139.2494012 154.8670792 171.2296864 188.3252666 206.1420003 224.6682033 243.8923256 263.8029496 284.3887892 305.6386881 327.5416188 350.0866812 373.2631013 397.0602297 421.4675410 446.4746317 472.0712196 498.2471423 524.9923559 552.2969341 580.1510669 608.5450591 637.4693296 953.8486289 1313.5188807 1708.6064944 2132.1472258 2577.9960507 3040.7453013
0.0000000 0.4981320 0.9950187 1.4906601 1.9850563 2.4782074 2.9701133 3.4607743 3.9501904 4.4383617 4.9252883 5.4109705 5.8954083 6.3786020 6.8605517 7.3412576 7.8207200 8.2989391 8.7759150 9.2516482 9.7261387 10.1993870 10.6713934 11.1421580 11.6116814 12.0799637 12.5470054 13.0128068 13.4773683 13.9406903 14.4027732 14.8636175 15.3232235 15.7815917 16.2387225 16.6946166 17.1492742 17.6026960 18.0548825 18.5058341 22.9475622 27.2664915 31.4633714 35.5390803 39.4946225 43.3311243
F/G 0.0000000 1.0000000 3.0075000 6.0300563 10.0752817 15.1508463 21.2644776 28.4239612 36.6371409 45.9119195 56.2562589 67.6781808 80.1857672 93.7871604 108.4905641 124.3042434 141.2365252 159.2957991 178.4905176 198.8291965 220.3204155 242.9728186 266.7951147 291.7960781 317.9845487 345.3694328 373.9597035 403.7644013 434.7926343 467.0535791 500.5564809 535.3106545 571.3254844 608.6104256 647.1750038 687.0288163 728.1815324 770.6428939 814.4227156 859.5308860 1385.9009753 2056.5515901 2882.6763806 3876.3374291 5050.5326252 6419.2682673
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
4 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
1.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9900990 0.9802960 0.9705901 0.9609803 0.9514657 0.9420452 0.9327181 0.9234832 0.9143398 0.9052870 0.8963237 0.8874492 0.8786626 0.8699630 0.8613495 0.8528213 0.8443775 0.8360173 0.8277399 0.8195445 0.8114302 0.8033962 0.7954418 0.7875661 0.7797684 0.7720480 0.7644039 0.7568356 0.7493421 0.7419229 0.7345771 0.7273041 0.7201031 0.7129733 0.7059142 0.6989249 0.6920049 0.6851534 0.6783697 0.6716531 0.6080388 0.5504496 0.4983149 0.4511179 0.4083912 0.3697112
1.0100000 1.0201000 1.0303010 1.0406040 1.0510101 1.0615202 1.0721354 1.0828567 1.0936853 1.1046221 1.1156683 1.1268250 1.1380933 1.1494742 1.1609690 1.1725786 1.1843044 1.1961475 1.2081090 1.2201900 1.2323919 1.2447159 1.2571630 1.2697346 1.2824320 1.2952563 1.3082089 1.3212910 1.3345039 1.3478489 1.3613274 1.3749407 1.3886901 1.4025770 1.4166028 1.4307688 1.4450765 1.4595272 1.4741225 1.4888637 1.6446318 1.8166967 2.0067634 2.2167152 2.4486327 2.7048138
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A 0.9900990 1.9703951 2.9409852 3.9019656 4.8534312 5.7954765 6.7281945 7.6516778 8.5660176 9.4713045 10.3676282 11.2550775 12.1337401 13.0037030 13.8650525 14.7178738 15.5622513 16.3982686 17.2260085 18.0455530 18.8569831 19.6603793 20.4558211 21.2433873 22.0231557 22.7952037 23.5596076 24.3164432 25.0657853 25.8077082 26.5422854 27.2695895 27.9896925 28.7026659 29.4085801 30.1075050 30.7995099 31.4846633 32.1630330 32.8346861 39.1961175 44.9550384 50.1685143 54.8882061 59.1608815 63.0288788
A/P 1.0100000 0.5075124 0.3400221 0.2562811 0.2060398 0.1725484 0.1486283 0.1306903 0.1167404 0.1055821 0.0964541 0.0888488 0.0824148 0.0769012 0.0721238 0.0679446 0.0642581 0.0609820 0.0580518 0.0554153 0.0530308 0.0508637 0.0488858 0.0470735 0.0454068 0.0438689 0.0424455 0.0411244 0.0398950 0.0387481 0.0376757 0.0366709 0.0357274 0.0348400 0.0340037 0.0332143 0.0324680 0.0317615 0.0310916 0.0304556 0.0255127 0.0222444 0.0199328 0.0182189 0.0169031 0.0158657
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.0100000 3.0301000 4.0604010 5.1010050 6.1520151 7.2135352 8.2856706 9.3685273 10.4622125 11.5668347 12.6825030 13.8093280 14.9474213 16.0968955 17.2578645 18.4304431 19.6147476 20.8108950 22.0190040 23.2391940 24.4715860 25.7163018 26.9734649 28.2431995 29.5256315 30.8208878 32.1290967 33.4503877 34.7848915 36.1327404 37.4940679 38.8690085 40.2576986 41.6602756 43.0768784 44.5076471 45.9527236 47.4122509 48.8863734 64.4631822 81.6696699 100.6763368 121.6715217 144.8632675 170.4813829
1.0000000 0.4975124 0.3300221 0.2462811 0.1960398 0.1625484 0.1386283 0.1206903 0.1067404 0.0955821 0.0864541 0.0788488 0.0724148 0.0669012 0.0621238 0.0579446 0.0542581 0.0509820 0.0480518 0.0454153 0.0430308 0.0408637 0.0388858 0.0370735 0.0354068 0.0338689 0.0324455 0.0311244 0.0298950 0.0287481 0.0276757 0.0266709 0.0257274 0.0248400 0.0240037 0.0232143 0.0224680 0.0217615 0.0210916 0.0204556 0.0155127 0.0122444 0.0099328 0.0082189 0.0069031 0.0058657
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.9802960 2.9214763 5.8044174 9.6102801 14.3205063 19.9168146 26.3811972 33.6959158 41.8434984 50.8067356 60.5686770 71.1126282 82.4221468 94.4810395 107.2733584 120.7833982 134.9956925 149.8950110 165.4663560 181.6949593 198.5662797 216.0659990 234.1800199 252.8944626 272.1956617 292.0701637 312.5047240 333.4863042 355.0020688 377.0393832 399.5858104 422.6291088 446.1572291 470.1583118 494.6206851 519.5328615 544.8835361 570.6615835 596.8560560 879.4176297 1192.8061450 1528.6474391 1879.8770991 2240.5674821 2605.7757534
0.0000000 0.4975124 0.9933666 1.4875624 1.9801002 2.4709800 2.9602020 3.4477664 3.9336734 4.4179234 4.9005167 5.3814536 5.8607344 6.3383597 6.8143297 7.2886451 7.7613063 8.2323138 8.7016682 9.1693702 9.6354204 10.0998193 10.5625679 11.0236667 11.4831165 11.9409182 12.3970725 12.8515804 13.3044427 13.7556604 14.2052343 14.6531656 15.0994552 15.5441042 15.9871136 16.4284847 16.8682184 17.3063161 17.7427789 18.1776081 22.4363454 26.5333139 30.4702553 34.2491991 37.8724493 41.3425687
F/G 0.0000000 1.0000000 3.0100000 6.0401000 10.1005010 15.2015060 21.3535211 28.5670563 36.8527268 46.2212541 56.6834667 68.2503013 80.9328043 94.7421324 109.6895537 125.7864492 143.0443137 161.4747569 181.0895044 201.9003995 223.9194035 247.1585975 271.6301835 297.3464853 324.3199502 352.5631497 382.0887812 412.9096690 445.0387657 478.4891533 513.2740449 549.4067853 586.9008532 625.7698617 666.0275603 707.6878359 750.7647143 795.2723614 841.2250850 888.6373359 1446.3182184 2166.9669856 3067.6336840 4167.1521719 5486.3267465 7048.1382942
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
5 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
2.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9803922 0.9611688 0.9423223 0.9238454 0.9057308 0.8879714 0.8705602 0.8534904 0.8367553 0.8203483 0.8042630 0.7884932 0.7730325 0.7578750 0.7430147 0.7284458 0.7141626 0.7001594 0.6864308 0.6729713 0.6597758 0.6468390 0.6341559 0.6217215 0.6095309 0.5975793 0.5858620 0.5743746 0.5631123 0.5520709 0.5412460 0.5306333 0.5202287 0.5100282 0.5000276 0.4902232 0.4806109 0.4711872 0.4619482 0.4528904 0.3715279 0.3047823 0.2500276 0.2051097 0.1682614 0.1380330
1.0200000 1.0404000 1.0612080 1.0824322 1.1040808 1.1261624 1.1486857 1.1716594 1.1950926 1.2189944 1.2433743 1.2682418 1.2936066 1.3194788 1.3458683 1.3727857 1.4002414 1.4282462 1.4568112 1.4859474 1.5156663 1.5459797 1.5768993 1.6084372 1.6406060 1.6734181 1.7068865 1.7410242 1.7758447 1.8113616 1.8475888 1.8845406 1.9222314 1.9606760 1.9998896 2.0398873 2.0806851 2.1222988 2.1647448 2.2080397 2.6915880 3.2810308 3.9995582 4.8754392 5.9431331 7.2446461
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A 0.9803922 1.9415609 2.8838833 3.8077287 4.7134595 5.6014309 6.4719911 7.3254814 8.1622367 8.9825850 9.7868480 10.5753412 11.3483737 12.1062488 12.8492635 13.5777093 14.2918719 14.9920313 15.6784620 16.3514333 17.0112092 17.6580482 18.2922041 18.9139256 19.5234565 20.1210358 20.7068978 21.2812724 21.8443847 22.3964556 22.9377015 23.4683348 23.9885636 24.4985917 24.9986193 25.4888425 25.9694534 26.4406406 26.9025888 27.3554792 31.4236059 34.7608867 37.4986193 39.7445136 41.5869292 43.0983516
A/P 1.0200000 0.5150495 0.3467547 0.2626238 0.2121584 0.1785258 0.1545120 0.1365098 0.1225154 0.1113265 0.1021779 0.0945596 0.0881184 0.0826020 0.0778255 0.0736501 0.0699698 0.0667021 0.0637818 0.0611567 0.0587848 0.0566314 0.0546681 0.0528711 0.0512204 0.0496992 0.0482931 0.0469897 0.0457784 0.0446499 0.0435963 0.0426106 0.0416865 0.0408187 0.0400022 0.0392329 0.0385068 0.0378206 0.0371711 0.0365557 0.0318232 0.0287680 0.0266676 0.0251607 0.0240460 0.0232027
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.0200000 3.0604000 4.1216080 5.2040402 6.3081210 7.4342834 8.5829691 9.7546284 10.9497210 12.1687154 13.4120897 14.6803315 15.9739382 17.2934169 18.6392853 20.0120710 21.4123124 22.8405586 24.2973698 25.7833172 27.2989835 28.8449632 30.4218625 32.0302997 33.6709057 35.3443238 37.0512103 38.7922345 40.5680792 42.3794408 44.2270296 46.1115702 48.0338016 49.9944776 51.9943672 54.0342545 56.1149396 58.2372384 60.4019832 84.5794015 114.0515394 149.9779111 193.7719578 247.1566563 312.2323059
1.0000000 0.4950495 0.3267547 0.2426238 0.1921584 0.1585258 0.1345120 0.1165098 0.1025154 0.0913265 0.0821779 0.0745596 0.0681184 0.0626020 0.0578255 0.0536501 0.0499698 0.0467021 0.0437818 0.0411567 0.0387848 0.0366314 0.0346681 0.0328711 0.0312204 0.0296992 0.0282931 0.0269897 0.0257784 0.0246499 0.0235963 0.0226106 0.0216865 0.0208187 0.0200022 0.0192329 0.0185068 0.0178206 0.0171711 0.0165557 0.0118232 0.0087680 0.0066676 0.0051607 0.0040460 0.0032027
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.9611688 2.8458135 5.6173497 9.2402730 13.6801299 18.9034910 24.8779235 31.5719657 38.9551004 46.9977308 55.6711557 64.9475460 74.7999213 85.2021275 96.1288147 107.5554157 119.4581251 131.8138788 144.6003341 157.7958505 171.3794702 185.3309004 199.6304946 214.2592355 229.1987176 244.4311308 259.9392437 275.7063883 291.7164441 307.9538232 324.4034556 341.0507749 357.8817044 374.8826432 392.0404535 409.3424470 426.7763730 444.3304055 461.9931317 642.3605894 823.6975345 999.8343153 1166.7867669 1322.1700825 1464.7527460
0.0000000 0.4950495 0.9867991 1.4752495 1.9604015 2.4422563 2.9208154 3.3960803 3.8680532 4.3367361 4.8021314 5.2642420 5.7230708 6.1786209 6.6308958 7.0798993 7.5256353 7.9681081 8.4073220 8.8432819 9.2759926 9.7054594 10.1316878 10.5546833 10.9744520 11.3910000 11.8043337 12.2144597 12.6213850 13.0251166 13.4256618 13.8230283 14.2172237 14.6082562 14.9961339 15.3808653 15.7624591 16.1409241 16.5162694 16.8885044 20.4419757 23.6961025 26.6632301 29.3571782 31.7929241 33.9862823
F/G 0.0000000 1.0000000 3.0200000 6.0804000 10.2020080 15.4060482 21.7141691 29.1484525 37.7314216 47.4860500 58.4357710 70.6044864 84.0165761 98.6969077 114.6708458 131.9642627 150.6035480 170.6156189 192.0279313 214.8684899 239.1658597 264.9491769 292.2481605 321.0931237 351.5149862 383.5452859 417.2161916 452.5605154 489.6117257 528.4039603 568.9720395 611.3514803 655.5785099 701.6900801 749.7238817 799.7183593 851.7127265 905.7469810 961.8619206 1020.0991590 1728.9700727 2702.5769709 3998.8955571 5688.5978902 7857.8328158 10611.6152956
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
6 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
3.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9708738 0.9425959 0.9151417 0.8884870 0.8626088 0.8374843 0.8130915 0.7894092 0.7664167 0.7440939 0.7224213 0.7013799 0.6809513 0.6611178 0.6418619 0.6231669 0.6050164 0.5873946 0.5702860 0.5536758 0.5375493 0.5218925 0.5066917 0.4919337 0.4776056 0.4636947 0.4501891 0.4370768 0.4243464 0.4119868 0.3999871 0.3883370 0.3770262 0.3660449 0.3553834 0.3450324 0.3349829 0.3252262 0.3157535 0.3065568 0.2281071 0.1697331 0.1262974 0.0939771 0.0699278 0.0520328
1.0300000 1.0609000 1.0927270 1.1255088 1.1592741 1.1940523 1.2298739 1.2667701 1.3047732 1.3439164 1.3842339 1.4257609 1.4685337 1.5125897 1.5579674 1.6047064 1.6528476 1.7024331 1.7535061 1.8061112 1.8602946 1.9161034 1.9735865 2.0327941 2.0937779 2.1565913 2.2212890 2.2879277 2.3565655 2.4272625 2.5000803 2.5750828 2.6523352 2.7319053 2.8138625 2.8982783 2.9852267 3.0747835 3.1670270 3.2620378 4.3839060 5.8916031 7.9178219 10.6408906 14.3004671 19.2186320
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A 0.9708738 1.9134697 2.8286114 3.7170984 4.5797072 5.4171914 6.2302830 7.0196922 7.7861089 8.5302028 9.2526241 9.9540040 10.6349553 11.2960731 11.9379351 12.5611020 13.1661185 13.7535131 14.3237991 14.8774749 15.4150241 15.9369166 16.4436084 16.9355421 17.4131477 17.8768424 18.3270315 18.7641082 19.1884546 19.6004413 20.0004285 20.3887655 20.7657918 21.1318367 21.4872201 21.8322525 22.1672354 22.4924616 22.8082151 23.1147720 25.7297640 27.6755637 29.1234214 30.2007634 31.0024071 31.5989053
A/P 1.0300000 0.5226108 0.3535304 0.2690270 0.2183546 0.1845975 0.1605064 0.1424564 0.1284339 0.1172305 0.1080774 0.1004621 0.0940295 0.0885263 0.0837666 0.0796108 0.0759525 0.0727087 0.0698139 0.0672157 0.0648718 0.0627474 0.0608139 0.0590474 0.0574279 0.0559383 0.0545642 0.0532932 0.0521147 0.0510193 0.0499989 0.0490466 0.0481561 0.0473220 0.0465393 0.0458038 0.0451116 0.0444593 0.0438439 0.0432624 0.0388655 0.0361330 0.0343366 0.0331117 0.0322556 0.0316467
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.0300000 3.0909000 4.1836270 5.3091358 6.4684099 7.6624622 8.8923360 10.1591061 11.4638793 12.8077957 14.1920296 15.6177904 17.0863242 18.5989139 20.1568813 21.7615877 23.4144354 25.1168684 26.8703745 28.6764857 30.5367803 32.4528837 34.4264702 36.4592643 38.5530423 40.7096335 42.9309225 45.2188502 47.5754157 50.0026782 52.5027585 55.0778413 57.7301765 60.4620818 63.2759443 66.1742226 69.1594493 72.2342328 75.4012597 112.7968673 163.0534368 230.5940637 321.3630185 443.3489037 607.2877327
1.0000000 0.4926108 0.3235304 0.2390270 0.1883546 0.1545975 0.1305064 0.1124564 0.0984339 0.0872305 0.0780774 0.0704621 0.0640295 0.0585263 0.0537666 0.0496108 0.0459525 0.0427087 0.0398139 0.0372157 0.0348718 0.0327474 0.0308139 0.0290474 0.0274279 0.0259383 0.0245642 0.0232932 0.0221147 0.0210193 0.0199989 0.0190466 0.0181561 0.0173220 0.0165393 0.0158038 0.0151116 0.0144593 0.0138439 0.0132624 0.0088655 0.0061330 0.0043366 0.0031117 0.0022556 0.0016467
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.9425959 2.7728792 5.4383404 8.8887755 13.0761968 17.9547459 23.4806105 29.6119444 36.3087896 43.5330024 51.2481810 59.4195971 68.0141286 77.0001959 86.3476999 96.0279631 106.0136714 116.2788199 126.7986592 137.5496447 148.5093873 159.6566057 170.9710817 182.4336153 194.0259835 205.7308990 217.5319713 229.4136694 241.3612855 253.3608998 265.3993479 277.4641878 289.5436695 301.6267050 313.7028399 325.7622256 337.7955932 349.7942280 361.7499448 477.4803339 583.0526088 676.0868730 756.0865239 823.6302142 879.8540451
0.0000000 0.4926108 0.9802970 1.4630606 1.9409048 2.4138332 2.8818508 3.3449630 3.8031762 4.2564978 4.7049358 5.1484991 5.5871976 6.0210418 6.4500431 6.8742137 7.2935667 7.7081158 8.1178756 8.5228616 8.9230898 9.3185772 9.7093413 10.0954006 10.4767741 10.8534818 11.2255440 11.5929821 11.9558179 12.3140740 12.6677736 13.0169405 13.3615992 13.7017749 14.0374932 14.3687803 14.6956632 15.0181692 15.3363262 15.6501628 18.5575093 21.0674159 23.2145415 25.0353447 26.5666537 27.8444470
F/G 0.0000000 1.0000000 3.0300000 6.1209000 10.3045270 15.6136628 22.0820727 29.7445349 38.6368709 48.7959770 60.2598564 73.0676521 87.2596816 102.8774721 119.9637962 138.5627101 158.7195914 180.4811792 203.8956145 229.0124830 255.8828575 284.5593432 315.0961235 347.5490072 381.9754774 418.4347417 456.9877840 497.6974175 540.6283400 585.8471902 633.4226059 683.4252841 735.9280426 791.0058839 848.7360604 909.1981422 972.4740865 1038.6483091 1107.8077584 1180.0419911 2093.2289097 3435.1145601 5353.1354579 8045.4339516 11778.2967884 16909.5910898
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
7 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
4.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9615385 0.9245562 0.8889964 0.8548042 0.8219271 0.7903145 0.7599178 0.7306902 0.7025867 0.6755642 0.6495809 0.6245970 0.6005741 0.5774751 0.5552645 0.5339082 0.5133732 0.4936281 0.4746424 0.4563869 0.4388336 0.4219554 0.4057263 0.3901215 0.3751168 0.3606892 0.3468166 0.3334775 0.3206514 0.3083187 0.2964603 0.2850579 0.2740942 0.2635521 0.2534155 0.2436687 0.2342968 0.2252854 0.2166206 0.2082890 0.1407126 0.0950604 0.0642194 0.0433843 0.0293089 0.0198000
1.0400000 1.0816000 1.1248640 1.1698586 1.2166529 1.2653190 1.3159318 1.3685691 1.4233118 1.4802443 1.5394541 1.6010322 1.6650735 1.7316764 1.8009435 1.8729812 1.9479005 2.0258165 2.1068492 2.1911231 2.2787681 2.3699188 2.4647155 2.5633042 2.6658363 2.7724698 2.8833686 2.9987033 3.1186515 3.2433975 3.3731334 3.5080587 3.6483811 3.7943163 3.9460890 4.1039326 4.2680899 4.4388135 4.6163660 4.8010206 7.1066833 10.5196274 15.5716184 23.0497991 34.1193333 50.5049482
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
A/P
F/A
A/F
1.0400000 0.5301961 0.3603485 0.2754900 0.2246271 0.1907619 0.1666096 0.1485278 0.1344930 0.1232909 0.1141490 0.1065522 0.1001437 0.0946690 0.0899411 0.0858200 0.0821985 0.0789933 0.0761386 0.0735818 0.0712801 0.0691988 0.0673091 0.0655868 0.0640120 0.0625674 0.0612385 0.0600130 0.0588799 0.0578301 0.0568554 0.0559486 0.0551036 0.0543148 0.0535773 0.0528869 0.0522396 0.0516319 0.0510608 0.0505235 0.0465502 0.0442018 0.0427451 0.0418141 0.0412078 0.0408080
1.0000000 2.0400000 3.1216000 4.2464640 5.4163226 6.6329755 7.8982945 9.2142263 10.5827953 12.0061071 13.4863514 15.0258055 16.6268377 18.2919112 20.0235876 21.8245311 23.6975124 25.6454129 27.6712294 29.7780786 31.9692017 34.2479698 36.6178886 39.0826041 41.6459083 44.3117446 47.0842144 49.9675830 52.9662863 56.0849378 59.3283353 62.7014687 66.2095274 69.8579085 73.6522249 77.5983138 81.7022464 85.9703363 90.4091497 95.0255157 152.6670837 237.9906852 364.2904588 551.2449767 827.9833335 1237.6237046
1.0000000 0.4901961 0.3203485 0.2354900 0.1846271 0.1507619 0.1266096 0.1085278 0.0944930 0.0832909 0.0741490 0.0665522 0.0601437 0.0546690 0.0499411 0.0458200 0.0421985 0.0389933 0.0361386 0.0335818 0.0312801 0.0291988 0.0273091 0.0255868 0.0240120 0.0225674 0.0212385 0.0200130 0.0188799 0.0178301 0.0168554 0.0159486 0.0151036 0.0143148 0.0135773 0.0128869 0.0122396 0.0116319 0.0110608 0.0105235 0.0065502 0.0042018 0.0027451 0.0018141 0.0012078 0.0008080
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A 0.9615385 1.8860947 2.7750910 3.6298952 4.4518223 5.2421369 6.0020547 6.7327449 7.4353316 8.1108958 8.7604767 9.3850738 9.9856478 10.5631229 11.1183874 11.6522956 12.1656689 12.6592970 13.1339394 13.5903263 14.0291599 14.4511153 14.8568417 15.2469631 15.6220799 15.9827692 16.3295857 16.6630632 16.9837146 17.2920333 17.5884936 17.8735515 18.1476457 18.4111978 18.6646132 18.9082820 19.1425788 19.3678642 19.5844848 19.7927739 21.4821846 22.6234900 23.3945150 23.9153918 24.2672776 24.5049990
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.9245562 2.7025489 5.2669615 8.5546699 12.5062426 17.0657494 22.1805809 27.8012748 33.8813523 40.3771616 47.2477291 54.4546182 61.9617942 69.7354973 77.7441199 85.9580919 94.3497699 102.8933335 111.5646855 120.3413576 129.2024207 138.1284000 147.1011939 156.1039972 165.1212280 174.1384588 183.1423506 192.1205902 201.0618315 209.9556393 218.7924354 227.5634489 236.2606679 244.8767939 253.4051992 261.8398857 270.1754466 278.4070297 286.5303024 361.1638463 422.9966478 472.4789231 511.1161439 540.7369234 563.1248746
0.0000000 0.4901961 0.9738596 1.4509955 1.9216108 2.3857146 2.8433179 3.2944336 3.7390766 4.1772639 4.6090142 5.0343482 5.4532885 5.8658594 6.2720874 6.6720003 7.0656281 7.4530023 7.8341563 8.2091248 8.5779447 8.9406539 9.2972923 9.6479012 9.9925233 10.3312027 10.6639851 10.9909173 11.3120477 11.6274256 11.9371019 12.2411282 12.5395576 12.8324442 13.1198429 13.4018098 13.6784019 13.9496768 14.2156933 14.4765107 16.8122494 18.6972323 20.1961410 21.3718490 22.2825540 22.9799999
F/G 0.0000000 1.0000000 3.0400000 6.1616000 10.4080640 15.8243866 22.4573620 30.3556565 39.5698828 50.1526781 62.1587852 75.6451366 90.6709421 107.2977798 125.5896909 145.6132786 167.4378097 191.1353221 216.7807350 244.4519644 274.2300430 306.1992447 340.4472145 377.0651031 416.1477072 457.7936155 502.1053601 549.1895745 599.1571575 652.1234438 708.2083815 767.5367168 830.2381854 896.4477129 966.3056214 1039.9578462 1117.5561601 1199.2584065 1285.2287428 1375.6378925 2566.6770914 4449.7671300 7357.2614689 11781.1244187 18449.5833386 28440.5926152
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
8 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
5.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9523810 0.9070295 0.8638376 0.8227025 0.7835262 0.7462154 0.7106813 0.6768394 0.6446089 0.6139133 0.5846793 0.5568374 0.5303214 0.5050680 0.4810171 0.4581115 0.4362967 0.4155207 0.3957340 0.3768895 0.3589424 0.3418499 0.3255713 0.3100679 0.2953028 0.2812407 0.2678483 0.2550936 0.2429463 0.2313774 0.2203595 0.2098662 0.1998725 0.1903548 0.1812903 0.1726574 0.1644356 0.1566054 0.1491480 0.1420457 0.0872037 0.0535355 0.0328662 0.0201770 0.0123869 0.0076045
1.0500000 1.1025000 1.1576250 1.2155063 1.2762816 1.3400956 1.4071004 1.4774554 1.5513282 1.6288946 1.7103394 1.7958563 1.8856491 1.9799316 2.0789282 2.1828746 2.2920183 2.4066192 2.5269502 2.6532977 2.7859626 2.9252607 3.0715238 3.2250999 3.3863549 3.5556727 3.7334563 3.9201291 4.1161356 4.3219424 4.5380395 4.7649415 5.0031885 5.2533480 5.5160154 5.7918161 6.0814069 6.3854773 6.7047512 7.0399887 11.4673998 18.6791859 30.4264255 49.5614411 80.7303650 131.5012578
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
A/P
F/A
A/F
1.0500000 0.5378049 0.3672086 0.2820118 0.2309748 0.1970175 0.1728198 0.1547218 0.1406901 0.1295046 0.1203889 0.1128254 0.1064558 0.1010240 0.0963423 0.0922699 0.0886991 0.0855462 0.0827450 0.0802426 0.0779961 0.0759705 0.0741368 0.0724709 0.0709525 0.0695643 0.0682919 0.0671225 0.0660455 0.0650514 0.0641321 0.0632804 0.0624900 0.0617554 0.0610717 0.0604345 0.0598398 0.0592842 0.0587646 0.0582782 0.0547767 0.0528282 0.0516992 0.0510296 0.0506271 0.0503831
1.0000000 2.0500000 3.1525000 4.3101250 5.5256313 6.8019128 8.1420085 9.5491089 11.0265643 12.5778925 14.2067872 15.9171265 17.7129828 19.5986320 21.5785636 23.6574918 25.8403664 28.1323847 30.5390039 33.0659541 35.7192518 38.5052144 41.4304751 44.5019989 47.7270988 51.1134538 54.6691264 58.4025828 62.3227119 66.4388475 70.7607899 75.2988294 80.0637708 85.0669594 90.3203074 95.8363227 101.6281389 107.7095458 114.0950231 120.7997742 209.3479957 353.5837179 588.5285107 971.2288213 1594.6073010 2610.0251569
1.0000000 0.4878049 0.3172086 0.2320118 0.1809748 0.1470175 0.1228198 0.1047218 0.0906901 0.0795046 0.0703889 0.0628254 0.0564558 0.0510240 0.0463423 0.0422699 0.0386991 0.0355462 0.0327450 0.0302426 0.0279961 0.0259705 0.0241368 0.0224709 0.0209525 0.0195643 0.0182919 0.0171225 0.0160455 0.0150514 0.0141321 0.0132804 0.0124900 0.0117554 0.0110717 0.0104345 0.0098398 0.0092842 0.0087646 0.0082782 0.0047767 0.0028282 0.0016992 0.0010296 0.0006271 0.0003831
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A 0.9523810 1.8594104 2.7232480 3.5459505 4.3294767 5.0756921 5.7863734 6.4632128 7.1078217 7.7217349 8.3064142 8.8632516 9.3935730 9.8986409 10.3796580 10.8377696 11.2740662 11.6895869 12.0853209 12.4622103 12.8211527 13.1630026 13.4885739 13.7986418 14.0939446 14.3751853 14.6430336 14.8981273 15.1410736 15.3724510 15.5928105 15.8026767 16.0025492 16.1929040 16.3741943 16.5468517 16.7112873 16.8678927 17.0170407 17.1590864 18.2559255 18.9292895 19.3426766 19.5964605 19.7522617 19.8479102
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.9070295 2.6347047 5.1028121 8.2369168 11.9679937 16.2320817 20.9699573 26.1268286 31.6520479 37.4988408 43.6240524 49.9879086 56.5537920 63.2880313 70.1597042 77.1404512 84.2043023 91.3275135 98.4884137 105.6672610 112.8461083 120.0086770 127.1402390 134.2275055 141.2585238 148.2225801 155.1101083 161.9126053 168.6225513 175.2333356 181.7391868 188.1351080 194.4168164 200.5806861 206.6236956 212.5433784 218.3377769 224.0053996 229.5451812 277.9147822 314.3431620 340.8408984 359.6460483 372.7487916 381.7492240
0.0000000 0.4878049 0.9674861 1.4390534 1.9025202 2.3579038 2.8052254 3.2445098 3.6757856 4.0990850 4.5144439 4.9219016 5.3215011 5.7132886 6.0973137 6.4736294 6.8422918 7.2033600 7.5568961 7.9029651 8.2416350 8.5729762 8.8970619 9.2139676 9.5237714 9.8265533 10.1223957 10.4113830 10.6936014 10.9691390 11.2380854 11.5005319 11.7565711 12.0062971 12.2498049 12.4871909 12.7185521 12.9439866 13.1635931 13.3774711 15.2232645 16.6061786 17.6211858 18.3526024 18.8711954 19.2337239
F/G 0.0000000 1.0000000 3.0500000 6.2025000 10.5126250 16.0382563 22.8401691 30.9821775 40.5312864 51.5578507 64.1357432 78.3425304 94.2596569 111.9726398 131.5712718 153.1498354 176.8073271 202.6476935 230.7800782 261.3190821 294.3850362 330.1042880 368.6095024 410.0399775 454.5419764 502.2690752 553.3825289 608.0516554 666.4542382 728.7769501 795.2157976 865.9765874 941.2754168 1021.3391877 1106.4061470 1196.7264544 1292.5627771 1394.1909160 1501.9004618 1615.9954848 3186.9599143 5871.6743576 10370.5702142 17824.5764267 30092.1460197 50200.5031385
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
9 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
6.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9433962 0.8899964 0.8396193 0.7920937 0.7472582 0.7049605 0.6650571 0.6274124 0.5918985 0.5583948 0.5267875 0.4969694 0.4688390 0.4423010 0.4172651 0.3936463 0.3713644 0.3503438 0.3305130 0.3118047 0.2941554 0.2775051 0.2617973 0.2469785 0.2329986 0.2198100 0.2073680 0.1956301 0.1845567 0.1741101 0.1642548 0.1549574 0.1461862 0.1379115 0.1301052 0.1227408 0.1157932 0.1092389 0.1030555 0.0972222 0.0542884 0.0303143 0.0169274 0.0094522 0.0052780 0.0029472
1.0600000 1.1236000 1.1910160 1.2624770 1.3382256 1.4185191 1.5036303 1.5938481 1.6894790 1.7908477 1.8982986 2.0121965 2.1329283 2.2609040 2.3965582 2.5403517 2.6927728 2.8543392 3.0255995 3.2071355 3.3995636 3.6035374 3.8197497 4.0489346 4.2918707 4.5493830 4.8223459 5.1116867 5.4183879 5.7434912 6.0881006 6.4533867 6.8405899 7.2510253 7.6860868 8.1472520 8.6360871 9.1542523 9.7035075 10.2857179 18.4201543 32.9876909 59.0759302 105.7959935 189.4645112 339.3020835
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
A/P
F/A
A/F
1.0600000 0.5454369 0.3741098 0.2885915 0.2373964 0.2033626 0.1791350 0.1610359 0.1470222 0.1358680 0.1267929 0.1192770 0.1129601 0.1075849 0.1029628 0.0989521 0.0954448 0.0923565 0.0896209 0.0871846 0.0850045 0.0830456 0.0812785 0.0796790 0.0782267 0.0769043 0.0756972 0.0745926 0.0735796 0.0726489 0.0717922 0.0710023 0.0702729 0.0695984 0.0689739 0.0683948 0.0678574 0.0673581 0.0668938 0.0664615 0.0634443 0.0618757 0.0610331 0.0605725 0.0603184 0.0601774
1.0000000 2.0600000 3.1836000 4.3746160 5.6370930 6.9753185 8.3938376 9.8974679 11.4913160 13.1807949 14.9716426 16.8699412 18.8821377 21.0150659 23.2759699 25.6725281 28.2128798 30.9056525 33.7599917 36.7855912 39.9927267 43.3922903 46.9958277 50.8155774 54.8645120 59.1563827 63.7057657 68.5281116 73.6397983 79.0581862 84.8016774 90.8897780 97.3431647 104.1837546 111.4347799 119.1208667 127.2681187 135.9042058 145.0584581 154.7619656 290.3359046 533.1281809 967.9321696 1746.5998914 3141.0751872 5638.3680586
1.0000000 0.4854369 0.3141098 0.2285915 0.1773964 0.1433626 0.1191350 0.1010359 0.0870222 0.0758680 0.0667929 0.0592770 0.0529601 0.0475849 0.0429628 0.0389521 0.0354448 0.0323565 0.0296209 0.0271846 0.0250045 0.0230456 0.0212785 0.0196790 0.0182267 0.0169043 0.0156972 0.0145926 0.0135796 0.0126489 0.0117922 0.0110023 0.0102729 0.0095984 0.0089739 0.0083948 0.0078574 0.0073581 0.0068938 0.0064615 0.0034443 0.0018757 0.0010331 0.0005725 0.0003184 0.0001774
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A 0.9433962 1.8333927 2.6730119 3.4651056 4.2123638 4.9173243 5.5823814 6.2097938 6.8016923 7.3600871 7.8868746 8.3838439 8.8526830 9.2949839 9.7122490 10.1058953 10.4772597 10.8276035 11.1581165 11.4699212 11.7640766 12.0415817 12.3033790 12.5503575 12.7833562 13.0031662 13.2105341 13.4061643 13.5907210 13.7648312 13.9290860 14.0840434 14.2302296 14.3681411 14.4982464 14.6209871 14.7367803 14.8460192 14.9490747 15.0462969 15.7618606 16.1614277 16.3845439 16.5091308 16.5786994 16.6175462
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.8899964 2.5692350 4.9455160 7.9345487 11.4593514 15.4496941 19.8415807 24.5767684 29.6023214 34.8701966 40.3368596 45.9629279 51.7128404 57.5545513 63.4592455 69.4010762 75.3569207 81.3061549 87.2304447 93.1135527 98.9411598 104.7006995 110.3812061 115.9731733 121.4684240 126.8599907 132.1420046 137.3095933 142.3587871 147.2864323 152.0901116 156.7680707 161.3191513 165.7427287 170.0386557 174.2072102 178.2490477 182.1651574 185.9568227 217.4573758 239.0427907 253.3271354 262.5493078 268.3946075 272.0470601
0.0000000 0.4854369 0.9611760 1.4272338 1.8836333 2.3304038 2.7675812 3.1952076 3.6133314 4.0220070 4.4212947 4.8112608 5.1919772 5.5635212 5.9259757 6.2794284 6.6239721 6.9597045 7.2867276 7.6051477 7.9150753 8.2166249 8.5099142 8.7950647 9.0722007 9.3414498 9.6029418 9.8568093 10.1031868 10.3422109 10.5740199 10.7987534 11.0165524 11.2275589 11.4319156 11.6297658 11.8212531 12.0065215 12.1857146 12.3589761 13.7964280 14.7909452 15.4613480 15.9032787 16.1891232 16.3710729
F/G 0.0000000 1.0000000 3.0600000 6.2436000 10.6182160 16.2553090 23.2306275 31.6244651 41.5219331 53.0132490 66.1940440 81.1656866 98.0356278 116.9177655 137.9328314 161.2088013 186.8813294 215.0942091 245.9998617 279.7598534 316.5454446 356.5381713 399.9304615 446.9262892 497.7418666 552.6063786 611.7627613 675.4685270 743.9966386 817.6364369 896.6946231 981.4963005 1072.3860786 1169.7292433 1273.9129979 1385.3477777 1504.4686444 1631.7367631 1767.6409688 1912.6994270 4005.5984097 7885.4696815 14965.5361608 27776.6648561 50851.2531197 92306.1343096
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
10 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
7.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9345794 0.8734387 0.8162979 0.7628952 0.7129862 0.6663422 0.6227497 0.5820091 0.5439337 0.5083493 0.4750928 0.4440120 0.4149644 0.3878172 0.3624460 0.3387346 0.3165744 0.2958639 0.2765083 0.2584190 0.2415131 0.2257132 0.2109469 0.1971466 0.1842492 0.1721955 0.1609304 0.1504022 0.1405628 0.1313671 0.1227730 0.1147411 0.1072347 0.1002193 0.0936629 0.0875355 0.0818088 0.0764569 0.0714550 0.0667804 0.0339478 0.0172573 0.0087727 0.0044596 0.0022670 0.0011525
1.0700000 1.1449000 1.2250430 1.3107960 1.4025517 1.5007304 1.6057815 1.7181862 1.8384592 1.9671514 2.1048520 2.2521916 2.4098450 2.5785342 2.7590315 2.9521637 3.1588152 3.3799323 3.6165275 3.8696845 4.1405624 4.4304017 4.7405299 5.0723670 5.4274326 5.8073529 6.2138676 6.6488384 7.1142570 7.6122550 8.1451129 8.7152708 9.3253398 9.9781135 10.6765815 11.4239422 12.2236181 13.0792714 13.9948204 14.9744578 29.4570251 57.9464268 113.9893922 224.2343876 441.1029799 867.7163256
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A 0.9345794 1.8080182 2.6243160 3.3872113 4.1001974 4.7665397 5.3892894 5.9712985 6.5152322 7.0235815 7.4986743 7.9426863 8.3576507 8.7454680 9.1079140 9.4466486 9.7632230 10.0590869 10.3355952 10.5940142 10.8355273 11.0612405 11.2721874 11.4693340 11.6535832 11.8257787 11.9867090 12.1371113 12.2776741 12.4090412 12.5318142 12.6465553 12.7537900 12.8540094 12.9476723 13.0352078 13.1170166 13.1934735 13.2649285 13.3317088 13.8007463 14.0391812 14.1603893 14.2220054 14.2533279 14.2692507
A/P 1.0700000 0.5530918 0.3810517 0.2952281 0.2438907 0.2097958 0.1855532 0.1674678 0.1534865 0.1423775 0.1333569 0.1259020 0.1196508 0.1143449 0.1097946 0.1058576 0.1024252 0.0994126 0.0967530 0.0943929 0.0922890 0.0904058 0.0887139 0.0871890 0.0858105 0.0845610 0.0834257 0.0823919 0.0814487 0.0805864 0.0797969 0.0790729 0.0784081 0.0777967 0.0772340 0.0767153 0.0762368 0.0757951 0.0753868 0.0750091 0.0724598 0.0712292 0.0706195 0.0703136 0.0701591 0.0700808
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.0700000 3.2149000 4.4399430 5.7507390 7.1532907 8.6540211 10.2598026 11.9779887 13.8164480 15.7835993 17.8884513 20.1406429 22.5504879 25.1290220 27.8880536 30.8402173 33.9990325 37.3789648 40.9954923 44.8651768 49.0057392 53.4361409 58.1766708 63.2490377 68.6764704 74.4838233 80.6976909 87.3465293 94.4607863 102.0730414 110.2181543 118.9334251 128.2587648 138.2368784 148.9134598 160.3374020 172.5610202 185.6402916 199.6351120 406.5289295 813.5203834 1614.1341743 3189.0626797 6287.1854268 12381.6617938
1.0000000 0.4830918 0.3110517 0.2252281 0.1738907 0.1397958 0.1155532 0.0974678 0.0834865 0.0723775 0.0633569 0.0559020 0.0496508 0.0443449 0.0397946 0.0358576 0.0324252 0.0294126 0.0267530 0.0243929 0.0222890 0.0204058 0.0187139 0.0171890 0.0158105 0.0145610 0.0134257 0.0123919 0.0114487 0.0105864 0.0097969 0.0090729 0.0084081 0.0077967 0.0072340 0.0067153 0.0062368 0.0057951 0.0053868 0.0050091 0.0024598 0.0012292 0.0006195 0.0003136 0.0001591 0.0000808
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.8734387 2.5060345 4.7947201 7.6466648 10.9783760 14.7148744 18.7889381 23.1404081 27.7155517 32.4664797 37.3506112 42.3301846 47.3718087 52.4460530 57.5270720 62.5922622 67.6219488 72.5990988 77.5090598 82.3393216 87.0792980 91.7201295 96.2545017 100.6764820 104.9813693 109.1655589 113.2264186 117.1621774 120.9718238 124.6550140 128.2119890 131.6434994 134.9507377 138.1352777 141.1990187 144.1441368 146.9730406 149.6883309 152.2927657 172.9051189 185.7677426 193.5185302 198.0747985 200.7041993 202.2000810
0.0000000 0.4830918 0.9549286 1.4155362 1.8649504 2.3032172 2.7303923 3.1465414 3.5517396 3.9460710 4.3296292 4.7025162 5.0648425 5.4167266 5.7582947 6.0896805 6.4110245 6.7224739 7.0241817 7.3163069 7.5990138 7.8724713 8.1368528 8.3923357 8.6391010 8.8773325 9.1072169 9.3289430 9.5427014 9.7486842 9.9470844 10.1380958 10.3219121 10.4987272 10.6687345 10.8321264 10.9890946 11.1398292 11.2845185 11.4233492 12.5286789 13.2320924 13.6661871 13.9273466 14.0812167 14.1703363
F/G 0.0000000 1.0000000 3.0700000 6.2849000 10.7248430 16.4755820 23.6288728 32.2828938 42.5426964 54.5206852 68.3371331 84.1207324 102.0091837 122.1498266 144.7003144 169.8293364 197.7173900 228.5576073 262.5566398 299.9356046 340.9310969 385.7962737 434.8020129 488.2381538 546.4148245 609.6638622 678.3403326 752.8241559 833.5218468 920.8683761 1015.3291624 1117.4022037 1227.6203580 1346.5537831 1474.8125479 1613.0494262 1761.9628861 1922.3002881 2094.8613083 2280.5015998 5093.2704210 10764.5769050 22059.0596322 44415.1811384 88531.2203827 175452.3113401
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
11 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
8.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9259259 0.8573388 0.7938322 0.7350299 0.6805832 0.6301696 0.5834904 0.5402689 0.5002490 0.4631935 0.4288829 0.3971138 0.3676979 0.3404610 0.3152417 0.2918905 0.2702690 0.2502490 0.2317121 0.2145482 0.1986557 0.1839405 0.1703153 0.1576993 0.1460179 0.1352018 0.1251868 0.1159137 0.1073275 0.0993773 0.0920160 0.0852000 0.0788889 0.0730453 0.0676345 0.0626246 0.0579857 0.0536905 0.0497134 0.0460309 0.0213212 0.0098759 0.0045744 0.0021188 0.0009814 0.0004546
1.0800000 1.1664000 1.2597120 1.3604890 1.4693281 1.5868743 1.7138243 1.8509302 1.9990046 2.1589250 2.3316390 2.5181701 2.7196237 2.9371936 3.1721691 3.4259426 3.7000181 3.9960195 4.3157011 4.6609571 5.0338337 5.4365404 5.8714636 6.3411807 6.8484752 7.3963532 7.9880615 8.6271064 9.3172749 10.0626569 10.8676694 11.7370830 12.6760496 13.6901336 14.7853443 15.9681718 17.2456256 18.6252756 20.1152977 21.7245215 46.9016125 101.2570637 218.6064059 471.9548343 1,018.9150893 2,199.7612563
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A 0.9259259 1.7832647 2.5770970 3.3121268 3.9927100 4.6228797 5.2063701 5.7466389 6.2468879 6.7100814 7.1389643 7.5360780 7.9037759 8.2442370 8.5594787 8.8513692 9.1216381 9.3718871 9.6035992 9.8181474 10.0168032 10.2007437 10.3710589 10.5287583 10.6747762 10.8099780 10.9351648 11.0510785 11.1584060 11.2577833 11.3497994 11.4349994 11.5138884 11.5869337 11.6545682 11.7171928 11.7751785 11.8288690 11.8785824 11.9246133 12.2334846 12.3765518 12.4428196 12.4735144 12.4877320 12.4943176
A/P 1.0800000 0.5607692 0.3880335 0.3019208 0.2504565 0.2163154 0.1920724 0.1740148 0.1600797 0.1490295 0.1400763 0.1326950 0.1265218 0.1212969 0.1168295 0.1129769 0.1096294 0.1067021 0.1041276 0.1018522 0.0998323 0.0980321 0.0964222 0.0949780 0.0936788 0.0925071 0.0914481 0.0904889 0.0896185 0.0888274 0.0881073 0.0874508 0.0868516 0.0863041 0.0858033 0.0853447 0.0849244 0.0845389 0.0841851 0.0838602 0.0817429 0.0807979 0.0803676 0.0801699 0.0800786 0.0800364
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.0800000 3.2464000 4.5061120 5.8666010 7.3359290 8.9228034 10.6366276 12.4875578 14.4865625 16.6454875 18.9771265 21.4952966 24.2149203 27.1521139 30.3242830 33.7502257 37.4502437 41.4462632 45.7619643 50.4229214 55.4567552 60.8932956 66.7647592 73.1059400 79.9544151 87.3507684 95.3388298 103.9659362 113.2832111 123.3458680 134.2135374 145.9506204 158.6266701 172.3168037 187.1021480 203.0703198 220.3159454 238.9412210 259.0565187 573.7701564 1253.2132958 2720.0800738 5886.9354283 12723.9386160 27484.5157043
1.0000000 0.4807692 0.3080335 0.2219208 0.1704565 0.1363154 0.1120724 0.0940148 0.0800797 0.0690295 0.0600763 0.0526950 0.0465218 0.0412969 0.0368295 0.0329769 0.0296294 0.0267021 0.0241276 0.0218522 0.0198323 0.0180321 0.0164222 0.0149780 0.0136788 0.0125071 0.0114481 0.0104889 0.0096185 0.0088274 0.0081073 0.0074508 0.0068516 0.0063041 0.0058033 0.0053447 0.0049244 0.0045389 0.0041851 0.0038602 0.0017429 0.0007979 0.0003676 0.0001699 0.0000786 0.0000364
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.8573388 2.4450033 4.6500929 7.3724256 10.5232738 14.0242162 17.8060983 21.8080901 25.9768315 30.2656601 34.6339114 39.0462865 43.4722800 47.8856639 52.2640209 56.5883242 60.8425576 65.0133748 69.0897907 73.0629057 76.9256563 80.6725926 84.2996774 87.8041071 91.1841512 94.4390084 97.5686789 100.5738494 103.4557921 106.2162735 108.8574749 111.3819207 113.7924158 116.0919903 118.2838505 120.3713363 122.3578841 124.2469936 126.0422000 139.5927902 147.3000071 151.5326177 153.8000834 154.9925351 155.6107261
0.0000000 0.4807692 0.9487432 1.4039598 1.8464716 2.2763460 2.6936649 3.0985239 3.4910327 3.8713139 4.2395030 4.5957475 4.9402067 5.2730508 5.5944603 5.9046256 6.2037458 6.4920284 6.7696885 7.0369478 7.2940343 7.5411812 7.7786264 8.0066115 8.2253815 8.4351838 8.6362675 8.8288830 9.0132810 9.1897125 9.3584274 9.5196747 9.6737016 9.8207532 9.9610718 10.0948967 10.2224638 10.3440053 10.4597493 10.5699192 11.4107136 11.9015384 12.1783183 12.3301323 12.4115840 12.4545198
F/G 0.0000000 1.0000000 3.0800000 6.3264000 10.8325120 16.6991130 24.0350420 32.9578454 43.5944730 56.0820308 70.5685933 87.2140808 106.1912072 127.6865038 151.9014241 179.0535380 209.3778211 243.1280467 280.5782905 322.0245537 367.7865180 418.2094395 473.6661946 534.5594902 601.3242494 674.4301894 754.3846045 841.7353729 937.0742027 1041.0401389 1154.3233500 1277.6692180 1411.8827555 1557.8333759 1716.4600460 1888.7768497 2075.8789976 2278.9493175 2499.2652628 2738.2064839 6547.1269552 14915.1661980 33126.0009221 72586.6928539 157924.2326997 342306.4463033
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
12 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
9.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9174312 0.8416800 0.7721835 0.7084252 0.6499314 0.5962673 0.5470342 0.5018663 0.4604278 0.4224108 0.3875329 0.3555347 0.3261786 0.2992465 0.2745380 0.2518698 0.2310732 0.2119937 0.1944897 0.1784309 0.1636981 0.1501817 0.1377814 0.1264049 0.1159678 0.1063925 0.0976078 0.0895484 0.0821545 0.0753711 0.0691478 0.0634384 0.0582003 0.0533948 0.0489861 0.0449413 0.0412306 0.0378262 0.0347030 0.0318376 0.0134485 0.0056808 0.0023996 0.0010136 0.0004282 0.0001809
1.0900000 1.1881000 1.2950290 1.4115816 1.5386240 1.6771001 1.8280391 1.9925626 2.1718933 2.3673637 2.5804264 2.8126648 3.0658046 3.3417270 3.6424825 3.9703059 4.3276334 4.7171204 5.1416613 5.6044108 6.1088077 6.6586004 7.2578745 7.9110832 8.6230807 9.3991579 10.2450821 11.1671395 12.1721821 13.2676785 14.4617695 15.7633288 17.1820284 18.7284109 20.4139679 22.2512250 24.2538353 26.4366805 28.8159817 31.4094201 74.3575201 176.0312920 416.7300862 986.5516681 2,335.5265822 5,529.0407918
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A 0.9174312 1.7591112 2.5312947 3.2397199 3.8896513 4.4859186 5.0329528 5.5348191 5.9952469 6.4176577 6.8051906 7.1607253 7.4869039 7.7861504 8.0606884 8.3125582 8.5436314 8.7556251 8.9501148 9.1285457 9.2922437 9.4424254 9.5802068 9.7066118 9.8225796 9.9289721 10.0265799 10.1161284 10.1982829 10.2736540 10.3428019 10.4062403 10.4644406 10.5178354 10.5668215 10.6117628 10.6529934 10.6908196 10.7255226 10.7573602 10.9616829 11.0479910 11.0844485 11.0998485 11.1063537 11.1091015
A/P 1.0900000 0.5684689 0.3950548 0.3086687 0.2570925 0.2229198 0.1986905 0.1806744 0.1667988 0.1558201 0.1469467 0.1396507 0.1335666 0.1284332 0.1240589 0.1202999 0.1170462 0.1142123 0.1117304 0.1095465 0.1076166 0.1059050 0.1043819 0.1030226 0.1018063 0.1007154 0.0997349 0.0988520 0.0980557 0.0973364 0.0966856 0.0960962 0.0955617 0.0950766 0.0946358 0.0942350 0.0938703 0.0935382 0.0932356 0.0929596 0.0912269 0.0905142 0.0902165 0.0900913 0.0900386 0.0900163
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.0900000 3.2781000 4.5731290 5.9847106 7.5233346 9.2004347 11.0284738 13.0210364 15.1929297 17.5602934 20.1407198 22.9533846 26.0191892 29.3609162 33.0033987 36.9737046 41.3013380 46.0184584 51.1601196 56.7645304 62.8733381 69.5319386 76.7898131 84.7008962 93.3239769 102.7231348 112.9682169 124.1353565 136.3075385 149.5752170 164.0369865 179.8003153 196.9823437 215.7107547 236.1247226 258.3759476 282.6297829 309.0664633 337.8824450 815.0835564 1944.7921329 4619.2231798 10950.5740903 25939.1842470 61422.6754647
1.0000000 0.4784689 0.3050548 0.2186687 0.1670925 0.1329198 0.1086905 0.0906744 0.0767988 0.0658201 0.0569467 0.0496507 0.0435666 0.0384332 0.0340589 0.0302999 0.0270462 0.0242123 0.0217304 0.0195465 0.0176166 0.0159050 0.0143819 0.0130226 0.0118063 0.0107154 0.0097349 0.0088520 0.0080557 0.0073364 0.0066856 0.0060962 0.0055617 0.0050766 0.0046358 0.0042350 0.0038703 0.0035382 0.0032356 0.0029596 0.0012269 0.0005142 0.0002165 0.0000913 0.0000386 0.0000163
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.8416800 2.3860470 4.5113226 7.1110481 10.0923848 13.3745902 16.8876542 20.5710764 24.3727737 28.2481022 32.1589842 36.0731279 39.9633320 43.8068646 47.5849110 51.2820818 54.8859754 58.3867895 61.7769764 65.0509377 68.2047536 71.2359440 74.1432577 76.9264857 79.5862985 82.1241015 84.5419095 86.8422366 89.0279995 91.1024345 93.0690242 94.9314353 96.6934641 98.3589904 99.9319375 101.4162388 102.8158094 104.1345220 105.3761878 114.3250662 118.9682503 121.2941563 122.4306445 122.9757608 123.2335022
0.0000000 0.4784689 0.9426192 1.3925039 1.8281968 2.2497922 2.6574042 3.0511664 3.4312309 3.7977678 4.1509642 4.4910233 4.8181636 5.1326175 5.4346307 5.7244605 6.0023753 6.2686530 6.5235800 6.7674500 7.0005630 7.2232239 7.4357418 7.6384283 7.8315971 8.0155627 8.1906395 8.3571408 8.5153783 8.6656606 8.8082935 8.9435783 9.0718118 9.1932855 9.3082854 9.4170911 9.5199757 9.6172055 9.7090394 9.7957292 10.4295177 10.7683153 10.9427326 11.0299383 11.0725594 11.0930215
F/G 0.0000000 1.0000000 3.0900000 6.3681000 10.9412290 16.9259396 24.4492742 33.6497089 44.6781826 57.6992191 72.8921488 90.4524422 110.5931620 133.5465466 159.5657358 188.9266520 221.9300507 258.9037552 300.2050932 346.2235516 397.3836712 454.1482016 517.0215398 586.5534784 663.3432914 748.0441876 841.3681645 944.0912993 1057.0595163 1181.1948727 1317.5024113 1467.0776283 1631.1146148 1810.9149302 2007.8972739 2223.6080285 2459.7327511 2718.1086987 3000.7384816 3309.8049449 8500.9284044 20942.1348099 50546.9242195 120784.1565590 287213.1583005 681363.0607192
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
13 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
10.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.9090909 0.8264463 0.7513148 0.6830135 0.6209213 0.5644739 0.5131581 0.4665074 0.4240976 0.3855433 0.3504939 0.3186308 0.2896644 0.2633313 0.2393920 0.2176291 0.1978447 0.1798588 0.1635080 0.1486436 0.1351306 0.1228460 0.1116782 0.1015256 0.0922960 0.0839055 0.0762777 0.0693433 0.0630394 0.0573086 0.0520987 0.0473624 0.0430568 0.0391425 0.0355841 0.0323492 0.0294083 0.0267349 0.0243044 0.0220949 0.0085186 0.0032843 0.0012662 0.0004882 0.0001882 0.0000726
1.1000000 1.2100000 1.3310000 1.4641000 1.6105100 1.7715610 1.9487171 2.1435888 2.3579477 2.5937425 2.8531167 3.1384284 3.4522712 3.7974983 4.1772482 4.5949730 5.0544703 5.5599173 6.1159090 6.7274999 7.4002499 8.1402749 8.9543024 9.8497327 10.8347059 11.9181765 13.1099942 14.4209936 15.8630930 17.4494023 19.1943425 21.1137767 23.2251544 25.5476699 28.1024368 30.9126805 34.0039486 37.4043434 41.1447778 45.2592556 117.3908529 304.4816395 789.7469568 2,048.4002146 5,313.0226118 13,780.6123398
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A
A/P
0.9090909 1.7355372 2.4868520 3.1698654 3.7907868 4.3552607 4.8684188 5.3349262 5.7590238 6.1445671 6.4950610 6.8136918 7.1033562 7.3666875 7.6060795 7.8237086 8.0215533 8.2014121 8.3649201 8.5135637 8.6486943 8.7715403 8.8832184 8.9847440 9.0770400 9.1609455 9.2372232 9.3065665 9.3696059 9.4269145 9.4790132 9.5263756 9.5694324 9.6085749 9.6441590 9.6765082 9.7059165 9.7326514 9.7569558 9.7790507 9.9148145 9.9671573 9.9873377 9.9951181 9.9981178 9.9992743
1.1000000 0.5761905 0.4021148 0.3154708 0.2637975 0.2296074 0.2054055 0.1874440 0.1736405 0.1627454 0.1539631 0.1467633 0.1407785 0.1357462 0.1314738 0.1278166 0.1246641 0.1219302 0.1195469 0.1174596 0.1156244 0.1140051 0.1125718 0.1112998 0.1101681 0.1091590 0.1082576 0.1074510 0.1067281 0.1060792 0.1054962 0.1049717 0.1044994 0.1040737 0.1036897 0.1033431 0.1030299 0.1027469 0.1024910 0.1022594 0.1008592 0.1003295 0.1001268 0.1000488 0.1000188 0.1000073
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.1000000 3.3100000 4.6410000 6.1051000 7.7156100 9.4871710 11.4358881 13.5794769 15.9374246 18.5311671 21.3842838 24.5227121 27.9749834 31.7724817 35.9497299 40.5447028 45.5991731 51.1590904 57.2749995 64.0024994 71.4027494 79.5430243 88.4973268 98.3470594 109.1817654 121.0999419 134.2099361 148.6309297 164.4940227 181.9434250 201.1377675 222.2515442 245.4766986 271.0243685 299.1268053 330.0394859 364.0434344 401.4477779 442.5925557 1163.9085288 3034.8163954 7887.4695680 20474.0021459 53120.2261185 137796.1233982
1.0000000 0.4761905 0.3021148 0.2154708 0.1637975 0.1296074 0.1054055 0.0874440 0.0736405 0.0627454 0.0539631 0.0467633 0.0407785 0.0357462 0.0314738 0.0278166 0.0246641 0.0219302 0.0195469 0.0174596 0.0156244 0.0140051 0.0125718 0.0112998 0.0101681 0.0091590 0.0082576 0.0074510 0.0067281 0.0060792 0.0054962 0.0049717 0.0044994 0.0040737 0.0036897 0.0033431 0.0030299 0.0027469 0.0024910 0.0022594 0.0008592 0.0003295 0.0001268 0.0000488 0.0000188 0.0000073
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.8264463 2.3290759 4.3781162 6.8618015 9.6841712 12.7631199 16.0286716 19.4214525 22.8913421 26.3962811 29.9012201 33.3771927 36.8004990 40.1519877 43.4164247 46.5819394 49.6395388 52.5826827 55.4069116 58.1095230 60.6892885 63.1462079 65.4812967 67.6964006 69.7940370 71.7772568 73.6495272 75.4146306 77.0765787 78.6395392 80.1077749 81.4855913 82.7772943 83.9871538 85.1193752 86.1780758 87.1672657 88.0908337 88.9525359 94.8888692 97.7010108 98.9870173 99.5606327 99.8117832 99.9201777
0.0000000 0.4761905 0.9365559 1.3811679 1.8101260 2.2235572 2.6216150 3.0044786 3.3723515 3.7254605 4.0640544 4.3884022 4.6987919 4.9955287 5.2789335 5.5493407 5.8070972 6.0525600 6.2860950 6.5080750 6.7188781 6.9188862 7.1084831 7.2880537 7.4579820 7.6186500 7.7704366 7.9137163 8.0488583 8.1762255 8.2961737 8.4090507 8.5151959 8.6149398 8.7086032 8.7964970 8.8789220 8.9561685 9.0285162 9.0962342 9.5704130 9.8022945 9.9112516 9.9609261 9.9830573 9.9927429
F/G 0.0000000 1.0000000 3.1000000 6.4100000 11.0510000 17.1561000 24.8717100 34.3588810 45.7947691 59.3742460 75.3116706 93.8428377 115.2271214 139.7498336 167.7248169 199.4972986 235.4470285 275.9917313 321.5909045 372.7499949 430.0249944 494.0274939 565.4302433 644.9732676 733.4705943 831.8176538 940.9994191 1062.0993611 1196.3092972 1344.9402269 1509.4342496 1691.3776745 1892.5154420 2114.7669862 2360.2436848 2631.2680533 2930.3948586 3260.4343445 3624.4777789 4025.9255568 11139.0852880 29748.1639541 78174.6956799 203940.0214585 530302.2611848 1376961.2339822
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
14 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
12.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.8928571 0.7971939 0.7117802 0.6355181 0.5674269 0.5066311 0.4523492 0.4038832 0.3606100 0.3219732 0.2874761 0.2566751 0.2291742 0.2046198 0.1826963 0.1631217 0.1456443 0.1300396 0.1161068 0.1036668 0.0925596 0.0826425 0.0737880 0.0658821 0.0588233 0.0525208 0.0468936 0.0418693 0.0373833 0.0333779 0.0298017 0.0266087 0.0237577 0.0212123 0.0189395 0.0169103 0.0150985 0.0134808 0.0120364 0.0107468 0.0034602 0.0011141 0.0003587 0.0001155 0.0000372 0.0000120
1.1200000 1.2544000 1.4049280 1.5735194 1.7623417 1.9738227 2.2106814 2.4759632 2.7730788 3.1058482 3.4785500 3.8959760 4.3634931 4.8871123 5.4735658 6.1303937 6.8660409 7.6899658 8.6127617 9.6462931 10.8038483 12.1003101 13.5523473 15.1786289 17.0000644 19.0400721 21.3248808 23.8838665 26.7499305 29.9599221 33.5551128 37.5817263 42.0915335 47.1425175 52.7996196 59.1355739 66.2318428 74.1796639 83.0812236 93.0509704 289.0021898 897.5969335 2,787.7998277 8,658.4831001 26,891.9342234 83,522.2657265
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A
A/P
0.8928571 1.6900510 2.4018313 3.0373493 3.6047762 4.1114073 4.5637565 4.9676398 5.3282498 5.6502230 5.9376991 6.1943742 6.4235484 6.6281682 6.8108645 6.9739862 7.1196305 7.2496701 7.3657769 7.4694436 7.5620032 7.6446457 7.7184337 7.7843158 7.8431391 7.8956599 7.9425535 7.9844228 8.0218060 8.0551840 8.0849857 8.1115944 8.1353521 8.1565644 8.1755039 8.1924142 8.2075127 8.2209935 8.2330299 8.2437767 8.3044985 8.3240493 8.3303441 8.3323709 8.3330235 8.3332336
1.1200000 0.5916981 0.4163490 0.3292344 0.2774097 0.2432257 0.2191177 0.2013028 0.1876789 0.1769842 0.1684154 0.1614368 0.1556772 0.1508712 0.1468242 0.1433900 0.1404567 0.1379373 0.1357630 0.1338788 0.1322401 0.1308105 0.1295600 0.1284634 0.1275000 0.1266519 0.1259041 0.1252439 0.1246602 0.1241437 0.1236861 0.1232803 0.1229203 0.1226006 0.1223166 0.1220641 0.1218396 0.1216398 0.1214620 0.1213036 0.1204167 0.1201338 0.1200431 0.1200139 0.1200045 0.1200014
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.1200000 3.3744000 4.7793280 6.3528474 8.1151890 10.0890117 12.2996931 14.7756563 17.5487351 20.6545833 24.1331333 28.0291093 32.3926024 37.2797147 42.7532804 48.8836741 55.7497150 63.4396808 72.0524424 81.6987355 92.5025838 104.6028939 118.1552411 133.3338701 150.3339345 169.3740066 190.6988874 214.5827539 241.3326843 271.2926065 304.8477192 342.4294455 384.5209790 431.6634965 484.4631161 543.5986900 609.8305328 684.0101967 767.0914203 2400.0182486 7471.6411124 23223.3318975 72145.6925007 224091.1185280 696010.5477211
1.0000000 0.4716981 0.2963490 0.2092344 0.1574097 0.1232257 0.0991177 0.0813028 0.0676789 0.0569842 0.0484154 0.0414368 0.0356772 0.0308712 0.0268242 0.0233900 0.0204567 0.0179373 0.0157630 0.0138788 0.0122401 0.0108105 0.0095600 0.0084634 0.0075000 0.0066519 0.0059041 0.0052439 0.0046602 0.0041437 0.0036861 0.0032803 0.0029203 0.0026006 0.0023166 0.0020641 0.0018396 0.0016398 0.0014620 0.0013036 0.0004167 0.0001338 0.0000431 0.0000139 0.0000045 0.0000014
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.7971939 2.2207544 4.1273086 6.3970160 8.9301716 11.6442669 14.4714495 17.3563297 20.2540889 23.1288499 25.9522759 28.7023662 31.3624238 33.9201714 36.3669963 38.6973058 40.9079788 42.9979008 44.9675694 46.8187616 48.5542543 50.1775893 51.6928777 53.1046371 54.4176573 55.6368904 56.7673606 57.8140923 58.7820521 59.6761036 60.5009726 61.2612205 61.9612255 62.6051696 63.1970299 63.7405751 64.2393641 64.6967478 65.1158730 67.7624118 68.8100345 69.2102893 69.3594283 69.4139727 69.4336356
0.0000000 0.4716981 0.9246088 1.3588521 1.7745945 2.1720474 2.5514654 2.9131439 3.2574167 3.5846530 3.8952546 4.1896526 4.4683039 4.7316880 4.9803034 5.2146643 5.4352969 5.6427366 5.8375242 6.0202033 6.1913173 6.3514067 6.5010067 6.6406450 6.7708396 6.8920974 7.0049123 7.1097639 7.2071167 7.2974189 7.3811020 7.4585796 7.5302482 7.5964858 7.6576527 7.7140911 7.7661257 7.8140634 7.8581942 7.8987915 8.1597235 8.2664136 8.3082149 8.3240928 8.3299865 8.3321360
F/G 0.0000000 1.0000000 3.1200000 6.4944000 11.2737280 17.6265754 25.7417644 35.8307761 48.1304693 62.9061256 80.4548606 101.1094439 125.2425772 153.2716865 185.6642888 222.9440035 265.6972839 314.5809580 370.3306729 433.7703537 505.8227961 587.5215317 680.0241155 784.6270093 902.7822505 1036.1161205 1186.4500550 1355.8240616 1546.5229490 1761.1057028 2002.4383872 2273.7309936 2578.5787129 2921.0081584 3305.5291374 3737.1926339 4221.6557500 4765.2544400 5375.0849728 6059.0951695 19583.4854049 61763.6759369 192944.4324791 600547.4375055 1866675.9877334 5799254.5643428
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
15 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
15.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.8695652 0.7561437 0.6575162 0.5717532 0.4971767 0.4323276 0.3759370 0.3269018 0.2842624 0.2471847 0.2149432 0.1869072 0.1625280 0.1413287 0.1228945 0.1068648 0.0929259 0.0808051 0.0702653 0.0611003 0.0531307 0.0462006 0.0401744 0.0349343 0.0303776 0.0264153 0.0229699 0.0199738 0.0173685 0.0151031 0.0131331 0.0114201 0.0099305 0.0086352 0.0075089 0.0065295 0.0056778 0.0049372 0.0042932 0.0037332 0.0009228 0.0002281 0.0000564 0.0000139 0.0000034 0.0000009
1.1500000 1.3225000 1.5208750 1.7490063 2.0113572 2.3130608 2.6600199 3.0590229 3.5178763 4.0455577 4.6523914 5.3502501 6.1527876 7.0757058 8.1370616 9.3576209 10.7612640 12.3754536 14.2317716 16.3665374 18.8215180 21.6447457 24.8914576 28.6251762 32.9189526 37.8567955 43.5353148 50.0656121 57.5754539 66.2117720 76.1435378 87.5650684 100.6998287 115.8048030 133.1755234 153.1518519 176.1246297 202.5433242 232.9248228 267.8635462 1,083.6574416 4,383.9987457 17,735.7200388 71,750.8794014 290,272.3252063 1174,313.4507003
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A
A/P
0.8695652 1.6257089 2.2832251 2.8549784 3.3521551 3.7844827 4.1604197 4.4873215 4.7715839 5.0187686 5.2337118 5.4206190 5.5831470 5.7244756 5.8473701 5.9542349 6.0471608 6.1279659 6.1982312 6.2593315 6.3124622 6.3586627 6.3988372 6.4337714 6.4641491 6.4905644 6.5135343 6.5335081 6.5508766 6.5659796 6.5791127 6.5905328 6.6004633 6.6090985 6.6166074 6.6231369 6.6288147 6.6337519 6.6380451 6.6417784 6.6605147 6.6651460 6.6662908 6.6665738 6.6666437 6.6666610
1.1500000 0.6151163 0.4379770 0.3502654 0.2983156 0.2642369 0.2403604 0.2228501 0.2095740 0.1992521 0.1910690 0.1844808 0.1791105 0.1746885 0.1710171 0.1679477 0.1653669 0.1631863 0.1613364 0.1597615 0.1584168 0.1572658 0.1562784 0.1554298 0.1546994 0.1540698 0.1535265 0.1530571 0.1526513 0.1523002 0.1519962 0.1517328 0.1515045 0.1513066 0.1511349 0.1509859 0.1508565 0.1507443 0.1506468 0.1505621 0.1501385 0.1500342 0.1500085 0.1500021 0.1500005 0.1500001
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.1500000 3.4725000 4.9933750 6.7423813 8.7537384 11.0667992 13.7268191 16.7858419 20.3037182 24.3492760 29.0016674 34.3519175 40.5047051 47.5804109 55.7174725 65.0750934 75.8363574 88.2118110 102.4435826 118.8101200 137.6316380 159.2763837 184.1678413 212.7930175 245.7119701 283.5687656 327.1040804 377.1696925 434.7451464 500.9569183 577.1004561 664.6655245 765.3653532 881.1701561 1014.3456796 1167.4975315 1343.6221612 1546.1654854 1779.0903082 7217.7162772 29219.9916377 118231.4669255 478332.5293429 1935142.1680420 7828749.6713352
1.0000000 0.4651163 0.2879770 0.2002654 0.1483156 0.1142369 0.0903604 0.0728501 0.0595740 0.0492521 0.0410690 0.0344808 0.0291105 0.0246885 0.0210171 0.0179477 0.0153669 0.0131863 0.0113364 0.0097615 0.0084168 0.0072658 0.0062784 0.0054298 0.0046994 0.0040698 0.0035265 0.0030571 0.0026513 0.0023002 0.0019962 0.0017328 0.0015045 0.0013066 0.0011349 0.0009859 0.0008565 0.0007443 0.0006468 0.0005621 0.0001385 0.0000342 0.0000085 0.0000021 0.0000005 0.0000001
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.7561437 2.0711761 3.7864359 5.7751428 7.9367808 10.1924030 12.4807154 14.7548147 16.9794771 19.1289093 21.1848880 23.1352235 24.9724960 26.6930188 28.2959903 29.7828045 31.1564916 32.4212673 33.5821726 34.6447862 35.6149985 36.4988359 37.3023244 38.0313877 38.6917711 39.2889874 39.8282797 40.3145981 40.7525867 41.1465794 41.5006019 41.8183780 42.1033402 42.3586424 42.5871738 42.7915745 42.9742514 43.1373942 43.2829907 44.0958308 44.3430657 44.4156263 44.4363919 44.4422243 44.4438389
0.0000000 0.4651163 0.9071274 1.3262573 1.7228149 2.0971904 2.4498497 2.7813286 3.0922258 3.3831958 3.6549412 3.9082046 4.1437604 4.3624076 4.5649614 4.7522463 4.9250889 5.0843122 5.2307289 5.3651373 5.4883159 5.6010202 5.7039795 5.7978939 5.8834329 5.9612337 6.0319000 6.0960022 6.1540769 6.2066270 6.2541229 6.2970025 6.3356731 6.3705118 6.4018673 6.4300609 6.4553886 6.4781216 6.4985087 6.5167773 6.6204840 6.6529774 6.6627196 6.6655517 6.6663566 6.6665815
F/G 0.0000000 1.0000000 3.1500000 6.6225000 11.6158750 18.3582563 27.1119947 38.1787939 51.9056130 68.6914549 88.9951732 113.3444491 142.3461165 176.6980340 217.2027391 264.7831499 320.5006224 385.5757158 461.4120732 549.6238841 652.0674668 770.8775868 908.5092248 1067.7856085 1251.9534498 1464.7464672 1710.4584373 1994.0272029 2321.1312834 2698.3009759 3133.0461222 3634.0030406 4211.1034967 4875.7690212 5641.1343743 6522.3045305 7536.6502100 8704.1477416 10047.7699028 11593.9353882 47784.7751815 194399.9442514 787743.1128368 3188350.1956191 12900347.7869468 52190997.8089012
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
16 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
18.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.8474576 0.7181844 0.6086309 0.5157889 0.4371092 0.3704315 0.3139250 0.2660382 0.2254561 0.1910645 0.1619190 0.1372195 0.1162877 0.0985489 0.0835160 0.0707763 0.0599799 0.0508304 0.0430766 0.0365056 0.0309370 0.0262178 0.0222185 0.0188292 0.0159569 0.0135228 0.0114600 0.0097119 0.0082304 0.0069749 0.0059110 0.0050093 0.0042452 0.0035976 0.0030488 0.0025837 0.0021896 0.0018556 0.0015725 0.0013327 0.0002546 0.0000486 0.0000093 0.0000018 0.0000003 0.0000001
1.1800000 1.3924000 1.6430320 1.9387778 2.2877578 2.6995542 3.1854739 3.7588592 4.4354539 5.2338356 6.1759260 7.2875926 8.5993593 10.1472440 11.9737479 14.1290225 16.6722466 19.6732509 23.2144361 27.3930346 32.3237808 38.1420614 45.0076324 53.1090063 62.6686274 73.9489803 87.2597968 102.9665602 121.5005410 143.3706384 169.1773534 199.6292770 235.5625468 277.9638052 327.9972902 387.0368024 456.7034269 538.9100437 635.9138515 750.3783448 3,927.3568600 20,555.1399661 107,582.2223679 563,067.6603856 2947,003.5401206 15424,131.9054532
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A
A/P
0.8474576 1.5656421 2.1742729 2.6900618 3.1271710 3.4976026 3.8115276 4.0775658 4.3030218 4.4940863 4.6560053 4.7932249 4.9095126 5.0080615 5.0915776 5.1623539 5.2223338 5.2731642 5.3162409 5.3527465 5.3836835 5.4099012 5.4321197 5.4509489 5.4669058 5.4804287 5.4918887 5.5016006 5.5098310 5.5168060 5.5227169 5.5277262 5.5319713 5.5355689 5.5386177 5.5412015 5.5433911 5.5452467 5.5468192 5.5481519 5.5541410 5.5552853 5.5555039 5.5555457 5.5555537 5.5555552
1.1800000 0.6387156 0.4599239 0.3717387 0.3197778 0.2859101 0.2623620 0.2452444 0.2323948 0.2225146 0.2147764 0.2086278 0.2036862 0.1996781 0.1964028 0.1937101 0.1914853 0.1896395 0.1881028 0.1868200 0.1857464 0.1848463 0.1840902 0.1834543 0.1829188 0.1824675 0.1820867 0.1817653 0.1814938 0.1812643 0.1810703 0.1809062 0.1807674 0.1806499 0.1805505 0.1804663 0.1803950 0.1803346 0.1802835 0.1802402 0.1800458 0.1800088 0.1800017 0.1800003 0.1800001 0.1800000
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.1800000 3.5724000 5.2154320 7.1542098 9.4419675 12.1415217 15.3269956 19.0858548 23.5213086 28.7551442 34.9310701 42.2186628 50.8180221 60.9652660 72.9390139 87.0680364 103.7402830 123.4135339 146.6279700 174.0210046 206.3447855 244.4868468 289.4944793 342.6034855 405.2721129 479.2210933 566.4808901 669.4474503 790.9479913 934.3186298 1103.4959831 1303.1252601 1538.6878069 1816.6516121 2144.6489023 2531.6857047 2988.3891316 3527.2991753 4163.2130268 21813.0936664 114189.6664783 597673.4575993 3128148.1132536 16372236.3340031 85689616.1414068
1.0000000 0.4587156 0.2799239 0.1917387 0.1397778 0.1059101 0.0823620 0.0652444 0.0523948 0.0425146 0.0347764 0.0286278 0.0236862 0.0196781 0.0164028 0.0137101 0.0114853 0.0096395 0.0081028 0.0068200 0.0057464 0.0048463 0.0040902 0.0034543 0.0029188 0.0024675 0.0020867 0.0017653 0.0014938 0.0012643 0.0010703 0.0009062 0.0007674 0.0006499 0.0005505 0.0004663 0.0003950 0.0003346 0.0002835 0.0002402 0.0000458 0.0000088 0.0000017 0.0000003 0.0000001 0.0000000
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.7181844 1.9354462 3.4828128 5.2312497 7.0834074 8.9669576 10.8292247 12.6328733 14.3524535 15.9716439 17.4810587 18.8765115 20.1576475 21.3268720 22.3885166 23.3481953 24.2123128 24.9876924 25.6812994 26.3000389 26.8506122 27.3394181 27.7724897 28.1554564 28.4935274 28.7914882 29.0537092 29.2841609 29.4864338 29.6637625 29.8190504 29.9548954 30.0736159 30.1772753 30.2677059 30.3465317 30.4151888 30.4749453 30.5269191 30.7856098 30.8464795 30.8602958 30.8633534 30.8640174 30.8641595
0.0000000 0.4587156 0.8901579 1.2946962 1.6728377 2.0252179 2.3525889 2.6558063 2.9358144 3.1936310 3.4303320 3.6470350 3.8448850 4.0250399 4.1886570 4.3368814 4.4708355 4.5916099 4.7002559 4.7977799 4.8851384 4.9632352 5.0329189 5.0949826 5.1501630 5.1991421 5.2425476 5.2809557 5.3148927 5.3448380 5.3712263 5.3944514 5.4148681 5.4327958 5.4485210 5.4623002 5.4743624 5.4849118 5.4941299 5.5021780 5.5428211 5.5526364 5.5549049 5.5554135 5.5555250 5.5555491
F/G 0.0000000 1.0000000 3.1800000 6.7524000 11.9678320 19.1220418 28.5640093 40.7055309 56.0325265 75.1183813 98.6396899 127.3948341 162.3259042 204.5445670 255.3625891 316.3278551 389.2668690 476.3349055 580.0751884 703.4887224 850.1166924 1024.1376970 1230.4824825 1474.9693293 1764.4638086 2107.0672941 2512.3394071 2991.5605003 3558.0413904 4227.4888407 5018.4368320 5952.7554618 7056.2514449 8359.3767050 9898.0645118 11714.7161240 13859.3650263 16391.0507310 19379.4398626 22906.7390379 120906.0759246 634053.7026574 3320019.2088850 17378156.1847421 90956368.5222394 476052867.4522600
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
17 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
20.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.8333333 0.6944444 0.5787037 0.4822531 0.4018776 0.3348980 0.2790816 0.2325680 0.1938067 0.1615056 0.1345880 0.1121567 0.0934639 0.0778866 0.0649055 0.0540879 0.0450732 0.0375610 0.0313009 0.0260841 0.0217367 0.0181139 0.0150949 0.0125791 0.0104826 0.0087355 0.0072796 0.0060663 0.0050553 0.0042127 0.0035106 0.0029255 0.0024379 0.0020316 0.0016930 0.0014108 0.0011757 0.0009797 0.0008165 0.0006804 0.0001099 0.0000177 0.0000029 0.0000005 0.0000001 0.0000000
1.2000000 1.4400000 1.7280000 2.0736000 2.4883200 2.9859840 3.5831808 4.2998170 5.1597804 6.1917364 7.4300837 8.9161004 10.6993205 12.8391846 15.4070216 18.4884259 22.1861111 26.6233333 31.9479999 38.3375999 46.0051199 55.2061439 66.2473727 79.4968472 95.3962166 114.4754600 137.3705520 164.8446624 197.8135948 237.3763138 284.8515766 341.8218919 410.1862702 492.2235243 590.6682292 708.8018750 850.5622500 1,020.6747000 1,224.8096400 1,469.7715680 9,100.4381500 56,347.5143532 348,888.9569322 2160,228.4620103 13375,565.2489343 82817,974.5220143
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A
A/P
0.8333333 1.5277778 2.1064815 2.5887346 2.9906121 3.3255101 3.6045918 3.8371598 4.0309665 4.1924721 4.3270601 4.4392167 4.5326806 4.6105672 4.6754726 4.7295605 4.7746338 4.8121948 4.8434957 4.8695797 4.8913164 4.9094304 4.9245253 4.9371044 4.9475870 4.9563225 4.9636021 4.9696684 4.9747237 4.9789364 4.9824470 4.9853725 4.9878104 4.9898420 4.9915350 4.9929458 4.9941215 4.9951013 4.9959177 4.9965981 4.9994506 4.9999113 4.9999857 4.9999977 4.9999996 4.9999999
1.2000000 0.6545455 0.4747253 0.3862891 0.3343797 0.3007057 0.2774239 0.2606094 0.2480795 0.2385228 0.2311038 0.2252650 0.2206200 0.2168931 0.2138821 0.2114361 0.2094401 0.2078054 0.2064625 0.2053565 0.2044439 0.2036896 0.2030653 0.2025479 0.2021187 0.2017625 0.2014666 0.2012207 0.2010162 0.2008461 0.2007046 0.2005868 0.2004888 0.2004071 0.2003392 0.2002826 0.2002354 0.2001961 0.2001634 0.2001362 0.2000220 0.2000035 0.2000006 0.2000001 0.2000000 0.2000000
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.2000000 3.6400000 5.3680000 7.4416000 9.9299200 12.9159040 16.4990848 20.7989018 25.9586821 32.1504185 39.5805022 48.4966027 59.1959232 72.0351079 87.4421294 105.9305553 128.1166664 154.7399997 186.6879996 225.0255995 271.0307195 326.2368633 392.4842360 471.9810832 567.3772999 681.8527598 819.2233118 984.0679742 1181.8815690 1419.2578828 1704.1094594 2045.9313512 2456.1176215 2948.3411458 3539.0093749 4247.8112499 5098.3734999 6119.0481999 7343.8578398 45497.1907500 281732.5717658 1744439.7846610 10801137.3100515 66877821.2446716 414089867.6100720
1.0000000 0.4545455 0.2747253 0.1862891 0.1343797 0.1007057 0.0774239 0.0606094 0.0480795 0.0385228 0.0311038 0.0252650 0.0206200 0.0168931 0.0138821 0.0114361 0.0094401 0.0078054 0.0064625 0.0053565 0.0044439 0.0036896 0.0030653 0.0025479 0.0021187 0.0017625 0.0014666 0.0012207 0.0010162 0.0008461 0.0007046 0.0005868 0.0004888 0.0004071 0.0003392 0.0002826 0.0002354 0.0001961 0.0001634 0.0001362 0.0000220 0.0000035 0.0000006 0.0000001 0.0000000 0.0000000
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.6944444 1.8518519 3.2986111 4.9061214 6.5806113 8.2551012 9.8830774 11.4335310 12.8870813 14.2329611 15.4666843 16.5882509 17.6007762 18.5094528 19.3207712 20.0419431 20.6804808 21.2438963 21.7394933 22.1742276 22.5546200 22.8867086 23.1760283 23.4276106 23.6459980 23.8352671 23.9990577 24.1406051 24.2627740 24.3680920 24.4587825 24.5367958 24.6038385 24.6614004 24.7107795 24.7531045 24.7893550 24.8203803 24.8469150 24.9697817 24.9942322 24.9989252 24.9998033 24.9999645 24.9999937
0.0000000 0.4545455 0.8791209 1.2742176 1.6405074 1.9788276 2.2901626 2.5756231 2.8364242 3.0738622 3.2892913 3.4841021 3.6596999 3.8174861 3.9588410 4.0851092 4.1975875 4.2975153 4.3860669 4.4643469 4.5333864 4.5941419 4.6474954 4.6942552 4.7351589 4.7708756 4.8020100 4.8291064 4.8526525 4.8730837 4.8907880 4.9061093 4.9193521 4.9307851 4.9406446 4.9491383 4.9564482 4.9627332 4.9681323 4.9727664 4.9945052 4.9989352 4.9997994 4.9999630 4.9999933 4.9999988
F/G 0.0000000 1.0000000 3.2000000 6.8400000 12.2080000 19.6496000 29.5795200 42.4954240 58.9945088 79.7934106 105.7520927 137.9025112 177.4830134 225.9796161 285.1755394 357.2106472 444.6527767 550.5833320 678.6999984 833.4399981 1020.1279977 1245.1535973 1516.1843167 1842.4211801 2234.9054161 2706.8864993 3274.2637992 3956.1165590 4775.3398708 5759.4078450 6941.2894140 8360.5472968 10064.6567562 12110.5881074 14566.7057289 17515.0468746 21054.0562496 25301.8674995 30400.2409994 36519.2891992 227235.9537501 1408362.8588292 8721848.9233052 54005286.5502576 334388656.2233580 2070448838.0503600
06/04/2015/02:40 p.m.
UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA
18 / 18
TASA DE INTERES COMPUESTO DISCRETO
TASA DEL
25.00%
PERIODOS
CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO VALOR PRESENTE PAGO UNICO
CANTIDAD COMPUESTA PAGO UNICO
N
P/F
F/P
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100
0.8000000 1.2500000 0.6400000 1.5625000 0.5120000 1.9531250 0.4096000 2.4414063 0.3276800 3.0517578 0.2621440 3.8146973 0.2097152 4.7683716 0.1677722 5.9604645 0.1342177 7.4505806 0.1073742 9.3132257 0.0858993 11.6415322 0.0687195 14.5519152 0.0549756 18.1898940 0.0439805 22.7373675 0.0351844 28.4217094 0.0281475 35.5271368 0.0225180 44.4089210 0.0180144 55.5111512 0.0144115 69.3889390 0.0115292 86.7361738 0.0092234 108.4202172 0.0073787 135.5252716 0.0059030 169.4065895 0.0047224 211.7582368 0.0037779 264.6977960 0.0030223 330.8722450 0.0024179 413.5903063 0.0019343 516.9878828 0.0015474 646.2348536 0.0012379 807.7935669 0.0009904 1,009.7419587 0.0007923 1,262.1774484 0.0006338 1,577.7218104 0.0005071 1,972.1522631 0.0004056 2,465.1903288 0.0003245 3,081.4879110 0.0002596 3,851.8598888 0.0002077 4,814.8248610 0.0001662 6,018.5310762 0.0001329 7,523.1638453 0.0000143 70,064.9232162 0.0000015 652,530.4467999 0.0000002 6077,163.3572863 0.0000000 56597,994.2426670 0.0000000 527109,897.1615260 0.0000000 4909093,465.2977300
VALOR PRESENTE RECUPERACION SERIE UNIFORME DE CAPITAL P/A
A/P
0.8000000 1.4400000 1.9520000 2.3616000 2.6892800 2.9514240 3.1611392 3.3289114 3.4631291 3.5705033 3.6564026 3.7251221 3.7800977 3.8240781 3.8592625 3.8874100 3.9099280 3.9279424 3.9423539 3.9538831 3.9631065 3.9704852 3.9763882 3.9811105 3.9848884 3.9879107 3.9903286 3.9922629 3.9938103 3.9950482 3.9960386 3.9968309 3.9974647 3.9979718 3.9983774 3.9987019 3.9989615 3.9991692 3.9993354 3.9994683 3.9999429 3.9999939 3.9999993 3.9999999 4.0000000 4.0000000
1.2500000 0.6944444 0.5122951 0.4234417 0.3718467 0.3388195 0.3163417 0.3003985 0.2887562 0.2800726 0.2734929 0.2684476 0.2645434 0.2615009 0.2591169 0.2572407 0.2557592 0.2545862 0.2536556 0.2529159 0.2523273 0.2518584 0.2514845 0.2511862 0.2509481 0.2507579 0.2506059 0.2504845 0.2503875 0.2503099 0.2502478 0.2501982 0.2501586 0.2501268 0.2501015 0.2500812 0.2500649 0.2500519 0.2500415 0.2500332 0.2500036 0.2500004 0.2500000 0.2500000 0.2500000 0.2500000
HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected]
CANTIDAD COMPUESTA SERIE UNIFORME
FONDO DE AMORTIZACION
F/A
A/F
1.0000000 2.2500000 3.8125000 5.7656250 8.2070313 11.2587891 15.0734863 19.8418579 25.8023224 33.2529030 42.5661287 54.2076609 68.7595761 86.9494702 109.6868377 138.1085472 173.6356839 218.0446049 273.5557562 342.9446952 429.6808690 538.1010862 673.6263578 843.0329473 1054.7911841 1319.4889801 1650.3612251 2063.9515314 2580.9394142 3227.1742678 4034.9678347 5044.7097934 6306.8872418 7884.6090522 9856.7613153 12321.9516441 15403.4395551 19255.2994439 24070.1243048 30088.6553811 280255.6928650 2610117.7871994 24308649.4291451 226391972.9706680 2108439584.6461100 19636373857.1909000
1.0000000 0.4444444 0.2622951 0.1734417 0.1218467 0.0888195 0.0663417 0.0503985 0.0387562 0.0300726 0.0234929 0.0184476 0.0145434 0.0115009 0.0091169 0.0072407 0.0057592 0.0045862 0.0036556 0.0029159 0.0023273 0.0018584 0.0014845 0.0011862 0.0009481 0.0007579 0.0006059 0.0004845 0.0003875 0.0003099 0.0002478 0.0001982 0.0001586 0.0001268 0.0001015 0.0000812 0.0000649 0.0000519 0.0000415 0.0000332 0.0000036 0.0000004 0.0000000 0.0000000 0.0000000 0.0000000
GRADIENTE GRADIENTE GRADIENTE UNIFORME A UNIFORME A UNIFORME A VALOR VALOR PRESENTE SERIE UNIFORME FUTURO P/G
A/G
0.0000000 0.6400000 1.6640000 2.8928000 4.2035200 5.5142400 6.7725312 7.9469363 9.0206781 9.9870458 10.8460392 11.6019535 12.2616605 12.8334065 13.3259877 13.7482002 14.1084882 14.4147329 14.6741403 14.8931954 15.0776628 15.2326154 15.3624805 15.4710950 15.5617644 15.6373223 15.7001864 15.7524120 15.7957399 15.8316402 15.8613507 15.8859114 15.9061939 15.9229268 15.9367189 15.9480770 15.9574232 15.9651078 15.9714216 15.9766056 15.9969171 15.9996077 15.9999513 15.9999941 15.9999993 15.9999999
F/G
0.0000000 0.0000000 0.4444444 1.0000000 0.8524590 3.2500000 1.2249322 7.0625000 1.5630652 12.8281250 1.8683320 21.0351563 2.1424337 32.2939453 2.3872478 47.3674316 2.6047768 67.2092896 2.7970975 93.0116119 2.9663143 126.2645149 3.1145163 168.8306437 3.2437417 223.0383046 3.3559478 291.7978807 3.4529882 378.7473509 3.5365964 488.4341886 3.6083754 626.5427358 3.6697923 800.1784197 3.7221773 1018.2230246 3.7667262 1291.7787808 3.8045061 1634.7234760 3.8364620 2064.4043450 3.8634258 2602.5054312 3.8861254 3276.1317890 3.9051945 4119.1647363 3.9211816 5173.9559203 3.9345598 6493.4449004 3.9457352 8143.8061255 3.9550551 10207.7576569 3.9628158 12788.6970711 3.9692687 16015.8713389 3.9746269 20050.8391737 3.9790705 25095.5489671 3.9827512 31402.4362088 3.9857966 39287.0452611 3.9883135 49143.8065763 3.9903918 61465.7582204 3.9921061 76869.1977755 3.9935189 96124.4972194 3.9946824 120194.6215242 3.9992864 1120822.7714599 3.9999081 10440231.1487976 3.9999885 97234317.7165804 3.9999986 905567571.8826710 3.9999998 8433757978.5844200 4.0000000 78545495028.7636000
06/04/2015/02:40 p.m.