Tablas de Calculo de Factores Interes Compuesto Discreto

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UNIVERSIDAD FRANCISCO GAVIDIA FACULTAD DE INGENIERIA Y ARQUITECTURA 1 / 18 TASA DE INTERES COMPUESTO DISCRETO TASA DEL 0.25% CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO PERIODOS VALOR PRESENTE PAGO UNICO CANTIDAD COMPUESTA PAGO UNICO VALOR PRESENTE SERIE UNIFORME RECUPERACION DE CAPITAL CANTIDAD COMPUESTA SERIE UNIFORME FONDO DE AMORTIZACION GRADIENTE UNIFORME A VALOR PRESENTE GRADIENTE UNIFORME A SERIE UNIFORME GRADIENTE UNIFORME A VALOR FUTURO N P/F F/P P/A A/P F/A A/F P/G A/G F/G 1 0.9975062 1.0025000 0.9975062 1.0025000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000 2 0.9950187 1.0050063 1.9925249 0.5018758 2.0025000 0.4993758 0.9950187 0.4993758 1.0000000 3 0.9925373 1.0075188 2.9850623 0.3350014 3.0075062 0.3325014 2.9800934 0.9983354 3.0025000 4 0.9900622 1.0100376 3.9751245 0.2515645 4.0150250 0.2490645 5.9502799 1.4968789 6.0100062 5 0.9875932 1.0125627 4.9627177 0.2015025 5.0250626 0.1990025 9.9006528 1.9950063 10.0250313 6 0.9851304 1.0150941 5.9478480 0.1681280 6.0376252 0.1656280 14.8263047 2.4927175 15.0500938 7 0.9826737 1.0176318 6.9305217 0.1442893 7.0527193 0.1417893 20.7223468 2.9900125 21.0877191 8 0.9802231 1.0201759 7.9107449 0.1264103 8.0703511 0.1239103 27.5839088 3.4868915 28.1404384 9 0.9777787 1.0227263 8.8885236 0.1125046 9.0905270 0.1100046 35.4061383 3.9833543 36.2107895 10 0.9753403 1.0252831 9.8638639 0.1013801 10.1132533 0.0988801 44.1842014 4.4794010 45.3013164 11 0.9729081 1.0278463 10.8367720 0.0922784 11.1385364 0.0897784 53.9132821 4.9750315 55.4145697 12 0.9704819 1.0304160 11.8072538 0.0846937 12.1663828 0.0821937 64.5885826 5.4702460 66.5531062 13 0.9680617 1.0329920 12.7753156 0.0782760 13.1967987 0.0757760 76.2053231 5.9650443 78.7194889 14 0.9656476 1.0355745 13.7409631 0.0727751 14.2297907 0.0702751 88.7587418 6.4594265 91.9162876 15 0.9632395 1.0381634 14.7042026 0.0680078 15.2653652 0.0655078 102.2440948 6.9533927 106.1460784 16 0.9608374 1.0407588 15.6650400 0.0638364 16.3035286 0.0613364 116.6566558 7.4469427 121.4114436 17 0.9584413 1.0433607 16.6234813 0.0601559 17.3442874 0.0576559 131.9917165 7.9400767 137.7149722 18 0.9560512 1.0459691 17.5795325 0.0568843 18.3876481 0.0543843 148.2445864 8.4327946 155.0592596 19 0.9536670 1.0485840 18.5331995 0.0539572 19.4336173 0.0514572 165.4105924 8.9250964 173.4469078 20 0.9512888 1.0512055 19.4844883 0.0513229 20.4822013 0.0488229 183.4850792 9.4169822 192.8805250 21 0.9489165 1.0538335 20.4334048 0.0489395 21.5334068 0.0464395 202.4634090 9.9084519 213.3627263 22 0.9465501 1.0564681 21.3799549 0.0467728 22.5872403 0.0442728 222.3409613 10.3995056 234.8961331 23 0.9441896 1.0591093 22.3241445 0.0447945 23.6437084 0.0422945 243.1131334 10.8901433 257.4833735 24 0.9418351 1.0617570 23.2659796 0.0429812 24.7028177 0.0404812 264.7753396 11.3803650 281.1270819 25 0.9394863 1.0644114 24.2054659 0.0413130 25.7645747 0.0388130 287.3230116 11.8701707 305.8298996 26 0.9371435 1.0670725 25.1426094 0.0397731 26.8289862 0.0372731 310.7515985 12.3595604 331.5944744 27 0.9348065 1.0697401 26.0774158 0.0383474 27.8960587 0.0358474 335.0565665 12.8485341 358.4234606 28 0.9324753 1.0724145 27.0098911 0.0370235 28.9657988 0.0345235 360.2333988 13.3370919 386.3195192 29 0.9301499 1.0750955 27.9400410 0.0357909 30.0382133 0.0332909 386.2775960 13.8252337 415.2853180 30 0.9278303 1.0777833 28.8678713 0.0346406 31.1133088 0.0321406 413.1846753 14.3129596 445.3235313 31 0.9255165 1.0804777 29.7933879 0.0335645 32.1910921 0.0310645 440.9501712 14.8002695 476.4368401 32 0.9232085 1.0831789 30.7165964 0.0325557 33.2715698 0.0300557 469.5696350 15.2871636 508.6279322 33 0.9209062 1.0858869 31.6375026 0.0316081 34.3547488 0.0291081 499.0386348 15.7736418 541.8995021 34 0.9186097 1.0886016 32.5561123 0.0307162 35.4406356 0.0282162 529.3527555 16.2597042 576.2542508 35 0.9163189 1.0913231 33.4724313 0.0298753 36.5292372 0.0273753 560.5075988 16.7453507 611.6948864 36 0.9140338 1.0940514 34.3864651 0.0290812 37.6205603 0.0265812 592.4987831 17.2305813 648.2241237 37 0.9117545 1.0967865 35.2982196 0.0283300 38.7146117 0.0258300 625.3219434 17.7153962 685.8446840 38 0.9094807 1.0995285 36.2077003 0.0276184 39.8113982 0.0251184 658.9727311 18.1997952 724.5592957 39 0.9072127 1.1022773 37.1149130 0.0269433 40.9109267 0.0244433 693.4468144 18.6837785 764.3706939 40 0.9049503 1.1050330 38.0198634 0.0263020 42.0132041 0.0238020 728.7398777 19.1673460 805.2816207 50 0.8826346 1.1329717 46.9461704 0.0213010 53.1886828 0.0188010 1125.7766663 23.9801598 1275.4731112 60 0.8608691 1.1616168 55.6523577 0.0179687 64.6467126 0.0154687 1600.0845359 28.7514241 1858.6850488 70 0.8396404 1.1909861 64.1438534 0.0155900 76.3944374 0.0130900 2147.6110919 33.4811674 2557.7749445 80 0.8189351 1.2210980 72.4259517 0.0138072 88.4391814 0.0113072 2764.4568123 38.1694234 3375.6725560 90 0.7987405 1.2519711 80.5038163 0.0124218 100.7884543 0.0099218 3446.8699729 42.8162307 4315.3817147 100 0.7790438 1.2836249 88.3824835 0.0113145 113.4499555 0.0088145 4191.2417291 47.4216334 5379.9821982 HECHO POR: ING. RICARDO ANTONIO MARTINEZ FLORES [email protected] 06/04/2015/02:40 p.m.

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tablas

Transcript of Tablas de Calculo de Factores Interes Compuesto Discreto

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA1 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 0.25%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9975062 1.0025000 0.9975062 1.0025000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.9950187 1.0050063 1.9925249 0.5018758 2.0025000 0.4993758 0.9950187 0.4993758 1.0000000

    3 0.9925373 1.0075188 2.9850623 0.3350014 3.0075062 0.3325014 2.9800934 0.9983354 3.0025000

    4 0.9900622 1.0100376 3.9751245 0.2515645 4.0150250 0.2490645 5.9502799 1.4968789 6.0100062

    5 0.9875932 1.0125627 4.9627177 0.2015025 5.0250626 0.1990025 9.9006528 1.9950063 10.0250313

    6 0.9851304 1.0150941 5.9478480 0.1681280 6.0376252 0.1656280 14.8263047 2.4927175 15.0500938

    7 0.9826737 1.0176318 6.9305217 0.1442893 7.0527193 0.1417893 20.7223468 2.9900125 21.0877191

    8 0.9802231 1.0201759 7.9107449 0.1264103 8.0703511 0.1239103 27.5839088 3.4868915 28.1404384

    9 0.9777787 1.0227263 8.8885236 0.1125046 9.0905270 0.1100046 35.4061383 3.9833543 36.2107895

    10 0.9753403 1.0252831 9.8638639 0.1013801 10.1132533 0.0988801 44.1842014 4.4794010 45.3013164

    11 0.9729081 1.0278463 10.8367720 0.0922784 11.1385364 0.0897784 53.9132821 4.9750315 55.4145697

    12 0.9704819 1.0304160 11.8072538 0.0846937 12.1663828 0.0821937 64.5885826 5.4702460 66.5531062

    13 0.9680617 1.0329920 12.7753156 0.0782760 13.1967987 0.0757760 76.2053231 5.9650443 78.7194889

    14 0.9656476 1.0355745 13.7409631 0.0727751 14.2297907 0.0702751 88.7587418 6.4594265 91.9162876

    15 0.9632395 1.0381634 14.7042026 0.0680078 15.2653652 0.0655078 102.2440948 6.9533927 106.1460784

    16 0.9608374 1.0407588 15.6650400 0.0638364 16.3035286 0.0613364 116.6566558 7.4469427 121.4114436

    17 0.9584413 1.0433607 16.6234813 0.0601559 17.3442874 0.0576559 131.9917165 7.9400767 137.7149722

    18 0.9560512 1.0459691 17.5795325 0.0568843 18.3876481 0.0543843 148.2445864 8.4327946 155.0592596

    19 0.9536670 1.0485840 18.5331995 0.0539572 19.4336173 0.0514572 165.4105924 8.9250964 173.4469078

    20 0.9512888 1.0512055 19.4844883 0.0513229 20.4822013 0.0488229 183.4850792 9.4169822 192.8805250

    21 0.9489165 1.0538335 20.4334048 0.0489395 21.5334068 0.0464395 202.4634090 9.9084519 213.3627263

    22 0.9465501 1.0564681 21.3799549 0.0467728 22.5872403 0.0442728 222.3409613 10.3995056 234.8961331

    23 0.9441896 1.0591093 22.3241445 0.0447945 23.6437084 0.0422945 243.1131334 10.8901433 257.4833735

    24 0.9418351 1.0617570 23.2659796 0.0429812 24.7028177 0.0404812 264.7753396 11.3803650 281.1270819

    25 0.9394863 1.0644114 24.2054659 0.0413130 25.7645747 0.0388130 287.3230116 11.8701707 305.8298996

    26 0.9371435 1.0670725 25.1426094 0.0397731 26.8289862 0.0372731 310.7515985 12.3595604 331.5944744

    27 0.9348065 1.0697401 26.0774158 0.0383474 27.8960587 0.0358474 335.0565665 12.8485341 358.4234606

    28 0.9324753 1.0724145 27.0098911 0.0370235 28.9657988 0.0345235 360.2333988 13.3370919 386.3195192

    29 0.9301499 1.0750955 27.9400410 0.0357909 30.0382133 0.0332909 386.2775960 13.8252337 415.2853180

    30 0.9278303 1.0777833 28.8678713 0.0346406 31.1133088 0.0321406 413.1846753 14.3129596 445.3235313

    31 0.9255165 1.0804777 29.7933879 0.0335645 32.1910921 0.0310645 440.9501712 14.8002695 476.4368401

    32 0.9232085 1.0831789 30.7165964 0.0325557 33.2715698 0.0300557 469.5696350 15.2871636 508.6279322

    33 0.9209062 1.0858869 31.6375026 0.0316081 34.3547488 0.0291081 499.0386348 15.7736418 541.8995021

    34 0.9186097 1.0886016 32.5561123 0.0307162 35.4406356 0.0282162 529.3527555 16.2597042 576.2542508

    35 0.9163189 1.0913231 33.4724313 0.0298753 36.5292372 0.0273753 560.5075988 16.7453507 611.6948864

    36 0.9140338 1.0940514 34.3864651 0.0290812 37.6205603 0.0265812 592.4987831 17.2305813 648.2241237

    37 0.9117545 1.0967865 35.2982196 0.0283300 38.7146117 0.0258300 625.3219434 17.7153962 685.8446840

    38 0.9094807 1.0995285 36.2077003 0.0276184 39.8113982 0.0251184 658.9727311 18.1997952 724.5592957

    39 0.9072127 1.1022773 37.1149130 0.0269433 40.9109267 0.0244433 693.4468144 18.6837785 764.3706939

    40 0.9049503 1.1050330 38.0198634 0.0263020 42.0132041 0.0238020 728.7398777 19.1673460 805.2816207

    50 0.8826346 1.1329717 46.9461704 0.0213010 53.1886828 0.0188010 1125.7766663 23.9801598 1275.4731112

    60 0.8608691 1.1616168 55.6523577 0.0179687 64.6467126 0.0154687 1600.0845359 28.7514241 1858.6850488

    70 0.8396404 1.1909861 64.1438534 0.0155900 76.3944374 0.0130900 2147.6110919 33.4811674 2557.7749445

    80 0.8189351 1.2210980 72.4259517 0.0138072 88.4391814 0.0113072 2764.4568123 38.1694234 3375.6725560

    90 0.7987405 1.2519711 80.5038163 0.0124218 100.7884543 0.0099218 3446.8699729 42.8162307 4315.3817147

    100 0.7790438 1.2836249 88.3824835 0.0113145 113.4499555 0.0088145 4191.2417291 47.4216334 5379.9821982

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA2 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 0.50%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9950249 1.0050000 0.9950249 1.0050000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.9900745 1.0100250 1.9850994 0.5037531 2.0050000 0.4987531 0.9900745 0.4987531 1.0000000

    3 0.9851488 1.0150751 2.9702481 0.3366722 3.0150250 0.3316722 2.9603720 0.9966750 3.0050000

    4 0.9802475 1.0201505 3.9504957 0.2531328 4.0301001 0.2481328 5.9011146 1.4937656 6.0200250

    5 0.9753707 1.0252513 4.9258663 0.2030100 5.0502506 0.1980100 9.8025973 1.9900250 10.0501251

    6 0.9705181 1.0303775 5.8963844 0.1695955 6.0755019 0.1645955 14.6551877 2.4854532 15.1003758

    7 0.9656896 1.0355294 6.8620740 0.1457285 7.1058794 0.1407285 20.4493254 2.9800502 21.1758776

    8 0.9608852 1.0407070 7.8229592 0.1278289 8.1414088 0.1228289 27.1755219 3.4738161 28.2817570

    9 0.9561047 1.0459106 8.7790639 0.1139074 9.1821158 0.1089074 34.8243593 3.9667509 36.4231658

    10 0.9513479 1.0511401 9.7304119 0.1027706 10.2280264 0.0977706 43.3864908 4.4588545 45.6052816

    11 0.9466149 1.0563958 10.6770267 0.0936590 11.2791665 0.0886590 52.8526394 4.9501271 55.8333080

    12 0.9419053 1.0616778 11.6189321 0.0860664 12.3355624 0.0810664 63.2135982 5.4405687 67.1124746

    13 0.9372192 1.0669862 12.5561513 0.0796422 13.3972402 0.0746422 74.4602291 5.9301793 79.4480370

    14 0.9325565 1.0723211 13.4887078 0.0741361 14.4642264 0.0691361 86.5834631 6.4189591 92.8452771

    15 0.9279169 1.0776827 14.4166246 0.0693644 15.5365475 0.0643644 99.5742994 6.9069079 107.3095035

    16 0.9233004 1.0830712 15.3399250 0.0651894 16.6142303 0.0601894 113.4238050 7.3940260 122.8460510

    17 0.9187068 1.0884865 16.2586319 0.0615058 17.6973014 0.0565058 128.1231144 7.8803134 139.4602813

    18 0.9141362 1.0939289 17.1727680 0.0582317 18.7857879 0.0532317 143.6634291 8.3657701 157.1575827

    19 0.9095882 1.0993986 18.0823562 0.0553025 19.8797169 0.0503025 160.0360171 8.8503962 175.9433706

    20 0.9050629 1.1048956 18.9874191 0.0526665 20.9791154 0.0476665 177.2322123 9.3341918 195.8230875

    21 0.9005601 1.1104201 19.8879793 0.0502816 22.0840110 0.0452816 195.2434143 9.8171570 216.8022029

    22 0.8960797 1.1159722 20.7840590 0.0481138 23.1944311 0.0431138 214.0610882 10.2992918 238.8862139

    23 0.8916216 1.1215520 21.6756806 0.0461347 24.3104032 0.0411347 233.6767633 10.7805964 262.0806450

    24 0.8871857 1.1271598 22.5628662 0.0443206 25.4319552 0.0393206 254.0820337 11.2610708 286.3910482

    25 0.8827718 1.1327956 23.4456380 0.0426519 26.5591150 0.0376519 275.2685571 11.7407151 311.8230035

    26 0.8783799 1.1384596 24.3240179 0.0411116 27.6919106 0.0361116 297.2280549 12.2195295 338.3821185

    27 0.8740099 1.1441519 25.1980278 0.0396856 28.8303701 0.0346856 319.9523113 12.6975140 366.0740291

    28 0.8696616 1.1498726 26.0676894 0.0383617 29.9745220 0.0333617 343.4331732 13.1746688 394.9043992

    29 0.8653349 1.1556220 26.9330242 0.0371291 31.1243946 0.0321291 367.6625498 13.6509939 424.8789212

    30 0.8610297 1.1614001 27.7940540 0.0359789 32.2800166 0.0309789 392.6324120 14.1264895 456.0033158

    31 0.8567460 1.1672071 28.6508000 0.0349030 33.4414167 0.0299030 418.3347920 14.6011557 488.2833324

    32 0.8524836 1.1730431 29.5032835 0.0338945 34.6086237 0.0288945 444.7617830 15.0749927 521.7247491

    33 0.8482424 1.1789083 30.3515259 0.0329473 35.7816669 0.0279473 471.9055389 15.5480005 556.3333728

    34 0.8440223 1.1848029 31.1955482 0.0320559 36.9605752 0.0270559 499.7582734 16.0201792 592.1150397

    35 0.8398231 1.1907269 32.0353713 0.0312155 38.1453781 0.0262155 528.3122603 16.4915292 629.0756149

    36 0.8356449 1.1966805 32.8710162 0.0304219 39.3361050 0.0254219 557.5598325 16.9620503 667.2209929

    37 0.8314875 1.2026639 33.7025037 0.0296714 40.5327855 0.0246714 587.4933818 17.4317430 706.5570979

    38 0.8273507 1.2086772 34.5298544 0.0289604 41.7354494 0.0239604 618.1053587 17.9006071 747.0898834

    39 0.8232346 1.2147206 35.3530890 0.0282861 42.9441267 0.0232861 649.3882718 18.3686430 788.8253328

    40 0.8191389 1.2207942 36.1722279 0.0276455 44.1588473 0.0226455 681.3346874 18.8358508 831.7694595

    50 0.7792861 1.2832258 44.1427863 0.0226538 56.6451630 0.0176538 1035.6965874 23.4624199 1329.0325974

    60 0.7413722 1.3488502 51.7255608 0.0193328 69.7700305 0.0143328 1448.6457953 28.0063816 1954.0061020

    70 0.7053029 1.4178305 58.9394176 0.0169666 83.5661055 0.0119666 1913.6427419 32.4679615 2713.2210982

    80 0.6709885 1.4903386 65.8023054 0.0151970 98.0677136 0.0101970 2424.6455078 36.8474249 3613.5427136

    90 0.6383435 1.5665547 72.3312996 0.0138253 113.3109358 0.0088253 2976.0768787 41.1450768 4662.1871594

    100 0.6072868 1.6466685 78.5426448 0.0127319 129.3336984 0.0077319 3562.7934297 45.3612613 5866.7396847

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA3 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 0.75%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9925558 1.0075000 0.9925558 1.0075000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.9851671 1.0150563 1.9777229 0.5056320 2.0075000 0.4981320 0.9851671 0.4981320 1.0000000

    3 0.9778333 1.0226692 2.9555562 0.3383458 3.0225563 0.3308458 2.9408337 0.9950187 3.0075000

    4 0.9705542 1.0303392 3.9261104 0.2547050 4.0452254 0.2472050 5.8524963 1.4906601 6.0300563

    5 0.9633292 1.0380667 4.8894396 0.2045224 5.0755646 0.1970224 9.7058131 1.9850563 10.0752817

    6 0.9561580 1.0458522 5.8455976 0.1710689 6.1136313 0.1635689 14.4866032 2.4782074 15.1508463

    7 0.9490402 1.0536961 6.7946378 0.1471749 7.1594836 0.1396749 20.1808444 2.9701133 21.2644776

    8 0.9419754 1.0615988 7.7366132 0.1292555 8.2131797 0.1217555 26.7746723 3.4607743 28.4239612

    9 0.9349632 1.0695608 8.6715764 0.1153193 9.2747786 0.1078193 34.2543777 3.9501904 36.6371409

    10 0.9280032 1.0775825 9.5995796 0.1041712 10.3443394 0.0966712 42.6064060 4.4383617 45.9119195

    11 0.9210949 1.0856644 10.5206745 0.0950509 11.4219219 0.0875509 51.8173555 4.9252883 56.2562589

    12 0.9142382 1.0938069 11.4349127 0.0874515 12.5075864 0.0799515 61.8739752 5.4109705 67.6781808

    13 0.9074324 1.1020104 12.3423451 0.0810219 13.6013933 0.0735219 72.7631641 5.8954083 80.1857672

    14 0.9006773 1.1102755 13.2430224 0.0755115 14.7034037 0.0680115 84.4719694 6.3786020 93.7871604

    15 0.8939725 1.1186026 14.1369950 0.0707364 15.8136792 0.0632364 96.9875849 6.8605517 108.4905641

    16 0.8873177 1.1269921 15.0243126 0.0665588 16.9322818 0.0590588 110.2973498 7.3412576 124.3042434

    17 0.8807123 1.1354446 15.9050249 0.0628732 18.0592739 0.0553732 124.3887468 7.8207200 141.2365252

    18 0.8741561 1.1439604 16.7791811 0.0595977 19.1947185 0.0520977 139.2494012 8.2989391 159.2957991

    19 0.8676488 1.1525401 17.6468298 0.0566674 20.3386789 0.0491674 154.8670792 8.7759150 178.4905176

    20 0.8611899 1.1611841 18.5080197 0.0540306 21.4912190 0.0465306 171.2296864 9.2516482 198.8291965

    21 0.8547790 1.1698930 19.3627987 0.0516454 22.6524031 0.0441454 188.3252666 9.7261387 220.3204155

    22 0.8484159 1.1786672 20.2112146 0.0494775 23.8222961 0.0419775 206.1420003 10.1993870 242.9728186

    23 0.8421001 1.1875072 21.0533147 0.0474985 25.0009634 0.0399985 224.6682033 10.6713934 266.7951147

    24 0.8358314 1.1964135 21.8891461 0.0456847 26.1884706 0.0381847 243.8923256 11.1421580 291.7960781

    25 0.8296093 1.2053866 22.7187555 0.0440165 27.3848841 0.0365165 263.8029496 11.6116814 317.9845487

    26 0.8234336 1.2144270 23.5421891 0.0424769 28.5902707 0.0349769 284.3887892 12.0799637 345.3694328

    27 0.8173038 1.2235352 24.3594929 0.0410518 29.8046978 0.0335518 305.6386881 12.5470054 373.9597035

    28 0.8112197 1.2327117 25.1707125 0.0397287 31.0282330 0.0322287 327.5416188 13.0128068 403.7644013

    29 0.8051808 1.2419571 25.9758933 0.0384972 32.2609448 0.0309972 350.0866812 13.4773683 434.7926343

    30 0.7991869 1.2512718 26.7750802 0.0373482 33.5029018 0.0298482 373.2631013 13.9406903 467.0535791

    31 0.7932376 1.2606563 27.5683178 0.0362735 34.7541736 0.0287735 397.0602297 14.4027732 500.5564809

    32 0.7873326 1.2701112 28.3556504 0.0352663 36.0148299 0.0277663 421.4675410 14.8636175 535.3106545

    33 0.7814716 1.2796371 29.1371220 0.0343205 37.2849411 0.0268205 446.4746317 15.3232235 571.3254844

    34 0.7756542 1.2892343 29.9127762 0.0334305 38.5645782 0.0259305 472.0712196 15.7815917 608.6104256

    35 0.7698801 1.2989036 30.6826563 0.0325917 39.8538125 0.0250917 498.2471423 16.2387225 647.1750038

    36 0.7641490 1.3086454 31.4468053 0.0317997 41.1527161 0.0242997 524.9923559 16.6946166 687.0288163

    37 0.7584605 1.3184602 32.2052658 0.0310508 42.4613615 0.0235508 552.2969341 17.1492742 728.1815324

    38 0.7528144 1.3283487 32.9580802 0.0303416 43.7798217 0.0228416 580.1510669 17.6026960 770.6428939

    39 0.7472103 1.3383113 33.7052905 0.0296689 45.1081704 0.0221689 608.5450591 18.0548825 814.4227156

    40 0.7416480 1.3483486 34.4469384 0.0290302 46.4464816 0.0215302 637.4693296 18.5058341 859.5308860

    50 0.6882516 1.4529569 41.5664471 0.0240579 60.3942573 0.0165579 953.8486289 22.9475622 1385.9009753

    60 0.6386997 1.5656810 48.1733735 0.0207584 75.4241369 0.0132584 1313.5188807 27.2664915 2056.5515901

    70 0.5927153 1.6871505 54.3046221 0.0184146 91.6200729 0.0109146 1708.6064944 31.4633714 2882.6763806

    80 0.5500417 1.8180440 59.9944401 0.0166682 109.0725307 0.0091682 2132.1472258 35.5390803 3876.3374291

    90 0.5104404 1.9590925 65.2746092 0.0153199 127.8789947 0.0078199 2577.9960507 39.4946225 5050.5326252

    100 0.4736903 2.1110838 70.1746227 0.0142502 148.1445120 0.0067502 3040.7453013 43.3311243 6419.2682673

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA4 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 1.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9900990 1.0100000 0.9900990 1.0100000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.9802960 1.0201000 1.9703951 0.5075124 2.0100000 0.4975124 0.9802960 0.4975124 1.0000000

    3 0.9705901 1.0303010 2.9409852 0.3400221 3.0301000 0.3300221 2.9214763 0.9933666 3.0100000

    4 0.9609803 1.0406040 3.9019656 0.2562811 4.0604010 0.2462811 5.8044174 1.4875624 6.0401000

    5 0.9514657 1.0510101 4.8534312 0.2060398 5.1010050 0.1960398 9.6102801 1.9801002 10.1005010

    6 0.9420452 1.0615202 5.7954765 0.1725484 6.1520151 0.1625484 14.3205063 2.4709800 15.2015060

    7 0.9327181 1.0721354 6.7281945 0.1486283 7.2135352 0.1386283 19.9168146 2.9602020 21.3535211

    8 0.9234832 1.0828567 7.6516778 0.1306903 8.2856706 0.1206903 26.3811972 3.4477664 28.5670563

    9 0.9143398 1.0936853 8.5660176 0.1167404 9.3685273 0.1067404 33.6959158 3.9336734 36.8527268

    10 0.9052870 1.1046221 9.4713045 0.1055821 10.4622125 0.0955821 41.8434984 4.4179234 46.2212541

    11 0.8963237 1.1156683 10.3676282 0.0964541 11.5668347 0.0864541 50.8067356 4.9005167 56.6834667

    12 0.8874492 1.1268250 11.2550775 0.0888488 12.6825030 0.0788488 60.5686770 5.3814536 68.2503013

    13 0.8786626 1.1380933 12.1337401 0.0824148 13.8093280 0.0724148 71.1126282 5.8607344 80.9328043

    14 0.8699630 1.1494742 13.0037030 0.0769012 14.9474213 0.0669012 82.4221468 6.3383597 94.7421324

    15 0.8613495 1.1609690 13.8650525 0.0721238 16.0968955 0.0621238 94.4810395 6.8143297 109.6895537

    16 0.8528213 1.1725786 14.7178738 0.0679446 17.2578645 0.0579446 107.2733584 7.2886451 125.7864492

    17 0.8443775 1.1843044 15.5622513 0.0642581 18.4304431 0.0542581 120.7833982 7.7613063 143.0443137

    18 0.8360173 1.1961475 16.3982686 0.0609820 19.6147476 0.0509820 134.9956925 8.2323138 161.4747569

    19 0.8277399 1.2081090 17.2260085 0.0580518 20.8108950 0.0480518 149.8950110 8.7016682 181.0895044

    20 0.8195445 1.2201900 18.0455530 0.0554153 22.0190040 0.0454153 165.4663560 9.1693702 201.9003995

    21 0.8114302 1.2323919 18.8569831 0.0530308 23.2391940 0.0430308 181.6949593 9.6354204 223.9194035

    22 0.8033962 1.2447159 19.6603793 0.0508637 24.4715860 0.0408637 198.5662797 10.0998193 247.1585975

    23 0.7954418 1.2571630 20.4558211 0.0488858 25.7163018 0.0388858 216.0659990 10.5625679 271.6301835

    24 0.7875661 1.2697346 21.2433873 0.0470735 26.9734649 0.0370735 234.1800199 11.0236667 297.3464853

    25 0.7797684 1.2824320 22.0231557 0.0454068 28.2431995 0.0354068 252.8944626 11.4831165 324.3199502

    26 0.7720480 1.2952563 22.7952037 0.0438689 29.5256315 0.0338689 272.1956617 11.9409182 352.5631497

    27 0.7644039 1.3082089 23.5596076 0.0424455 30.8208878 0.0324455 292.0701637 12.3970725 382.0887812

    28 0.7568356 1.3212910 24.3164432 0.0411244 32.1290967 0.0311244 312.5047240 12.8515804 412.9096690

    29 0.7493421 1.3345039 25.0657853 0.0398950 33.4503877 0.0298950 333.4863042 13.3044427 445.0387657

    30 0.7419229 1.3478489 25.8077082 0.0387481 34.7848915 0.0287481 355.0020688 13.7556604 478.4891533

    31 0.7345771 1.3613274 26.5422854 0.0376757 36.1327404 0.0276757 377.0393832 14.2052343 513.2740449

    32 0.7273041 1.3749407 27.2695895 0.0366709 37.4940679 0.0266709 399.5858104 14.6531656 549.4067853

    33 0.7201031 1.3886901 27.9896925 0.0357274 38.8690085 0.0257274 422.6291088 15.0994552 586.9008532

    34 0.7129733 1.4025770 28.7026659 0.0348400 40.2576986 0.0248400 446.1572291 15.5441042 625.7698617

    35 0.7059142 1.4166028 29.4085801 0.0340037 41.6602756 0.0240037 470.1583118 15.9871136 666.0275603

    36 0.6989249 1.4307688 30.1075050 0.0332143 43.0768784 0.0232143 494.6206851 16.4284847 707.6878359

    37 0.6920049 1.4450765 30.7995099 0.0324680 44.5076471 0.0224680 519.5328615 16.8682184 750.7647143

    38 0.6851534 1.4595272 31.4846633 0.0317615 45.9527236 0.0217615 544.8835361 17.3063161 795.2723614

    39 0.6783697 1.4741225 32.1630330 0.0310916 47.4122509 0.0210916 570.6615835 17.7427789 841.2250850

    40 0.6716531 1.4888637 32.8346861 0.0304556 48.8863734 0.0204556 596.8560560 18.1776081 888.6373359

    50 0.6080388 1.6446318 39.1961175 0.0255127 64.4631822 0.0155127 879.4176297 22.4363454 1446.3182184

    60 0.5504496 1.8166967 44.9550384 0.0222444 81.6696699 0.0122444 1192.8061450 26.5333139 2166.9669856

    70 0.4983149 2.0067634 50.1685143 0.0199328 100.6763368 0.0099328 1528.6474391 30.4702553 3067.6336840

    80 0.4511179 2.2167152 54.8882061 0.0182189 121.6715217 0.0082189 1879.8770991 34.2491991 4167.1521719

    90 0.4083912 2.4486327 59.1608815 0.0169031 144.8632675 0.0069031 2240.5674821 37.8724493 5486.3267465

    100 0.3697112 2.7048138 63.0288788 0.0158657 170.4813829 0.0058657 2605.7757534 41.3425687 7048.1382942

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA5 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 2.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9803922 1.0200000 0.9803922 1.0200000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.9611688 1.0404000 1.9415609 0.5150495 2.0200000 0.4950495 0.9611688 0.4950495 1.0000000

    3 0.9423223 1.0612080 2.8838833 0.3467547 3.0604000 0.3267547 2.8458135 0.9867991 3.0200000

    4 0.9238454 1.0824322 3.8077287 0.2626238 4.1216080 0.2426238 5.6173497 1.4752495 6.0804000

    5 0.9057308 1.1040808 4.7134595 0.2121584 5.2040402 0.1921584 9.2402730 1.9604015 10.2020080

    6 0.8879714 1.1261624 5.6014309 0.1785258 6.3081210 0.1585258 13.6801299 2.4422563 15.4060482

    7 0.8705602 1.1486857 6.4719911 0.1545120 7.4342834 0.1345120 18.9034910 2.9208154 21.7141691

    8 0.8534904 1.1716594 7.3254814 0.1365098 8.5829691 0.1165098 24.8779235 3.3960803 29.1484525

    9 0.8367553 1.1950926 8.1622367 0.1225154 9.7546284 0.1025154 31.5719657 3.8680532 37.7314216

    10 0.8203483 1.2189944 8.9825850 0.1113265 10.9497210 0.0913265 38.9551004 4.3367361 47.4860500

    11 0.8042630 1.2433743 9.7868480 0.1021779 12.1687154 0.0821779 46.9977308 4.8021314 58.4357710

    12 0.7884932 1.2682418 10.5753412 0.0945596 13.4120897 0.0745596 55.6711557 5.2642420 70.6044864

    13 0.7730325 1.2936066 11.3483737 0.0881184 14.6803315 0.0681184 64.9475460 5.7230708 84.0165761

    14 0.7578750 1.3194788 12.1062488 0.0826020 15.9739382 0.0626020 74.7999213 6.1786209 98.6969077

    15 0.7430147 1.3458683 12.8492635 0.0778255 17.2934169 0.0578255 85.2021275 6.6308958 114.6708458

    16 0.7284458 1.3727857 13.5777093 0.0736501 18.6392853 0.0536501 96.1288147 7.0798993 131.9642627

    17 0.7141626 1.4002414 14.2918719 0.0699698 20.0120710 0.0499698 107.5554157 7.5256353 150.6035480

    18 0.7001594 1.4282462 14.9920313 0.0667021 21.4123124 0.0467021 119.4581251 7.9681081 170.6156189

    19 0.6864308 1.4568112 15.6784620 0.0637818 22.8405586 0.0437818 131.8138788 8.4073220 192.0279313

    20 0.6729713 1.4859474 16.3514333 0.0611567 24.2973698 0.0411567 144.6003341 8.8432819 214.8684899

    21 0.6597758 1.5156663 17.0112092 0.0587848 25.7833172 0.0387848 157.7958505 9.2759926 239.1658597

    22 0.6468390 1.5459797 17.6580482 0.0566314 27.2989835 0.0366314 171.3794702 9.7054594 264.9491769

    23 0.6341559 1.5768993 18.2922041 0.0546681 28.8449632 0.0346681 185.3309004 10.1316878 292.2481605

    24 0.6217215 1.6084372 18.9139256 0.0528711 30.4218625 0.0328711 199.6304946 10.5546833 321.0931237

    25 0.6095309 1.6406060 19.5234565 0.0512204 32.0302997 0.0312204 214.2592355 10.9744520 351.5149862

    26 0.5975793 1.6734181 20.1210358 0.0496992 33.6709057 0.0296992 229.1987176 11.3910000 383.5452859

    27 0.5858620 1.7068865 20.7068978 0.0482931 35.3443238 0.0282931 244.4311308 11.8043337 417.2161916

    28 0.5743746 1.7410242 21.2812724 0.0469897 37.0512103 0.0269897 259.9392437 12.2144597 452.5605154

    29 0.5631123 1.7758447 21.8443847 0.0457784 38.7922345 0.0257784 275.7063883 12.6213850 489.6117257

    30 0.5520709 1.8113616 22.3964556 0.0446499 40.5680792 0.0246499 291.7164441 13.0251166 528.4039603

    31 0.5412460 1.8475888 22.9377015 0.0435963 42.3794408 0.0235963 307.9538232 13.4256618 568.9720395

    32 0.5306333 1.8845406 23.4683348 0.0426106 44.2270296 0.0226106 324.4034556 13.8230283 611.3514803

    33 0.5202287 1.9222314 23.9885636 0.0416865 46.1115702 0.0216865 341.0507749 14.2172237 655.5785099

    34 0.5100282 1.9606760 24.4985917 0.0408187 48.0338016 0.0208187 357.8817044 14.6082562 701.6900801

    35 0.5000276 1.9998896 24.9986193 0.0400022 49.9944776 0.0200022 374.8826432 14.9961339 749.7238817

    36 0.4902232 2.0398873 25.4888425 0.0392329 51.9943672 0.0192329 392.0404535 15.3808653 799.7183593

    37 0.4806109 2.0806851 25.9694534 0.0385068 54.0342545 0.0185068 409.3424470 15.7624591 851.7127265

    38 0.4711872 2.1222988 26.4406406 0.0378206 56.1149396 0.0178206 426.7763730 16.1409241 905.7469810

    39 0.4619482 2.1647448 26.9025888 0.0371711 58.2372384 0.0171711 444.3304055 16.5162694 961.8619206

    40 0.4528904 2.2080397 27.3554792 0.0365557 60.4019832 0.0165557 461.9931317 16.8885044 1020.0991590

    50 0.3715279 2.6915880 31.4236059 0.0318232 84.5794015 0.0118232 642.3605894 20.4419757 1728.9700727

    60 0.3047823 3.2810308 34.7608867 0.0287680 114.0515394 0.0087680 823.6975345 23.6961025 2702.5769709

    70 0.2500276 3.9995582 37.4986193 0.0266676 149.9779111 0.0066676 999.8343153 26.6632301 3998.8955571

    80 0.2051097 4.8754392 39.7445136 0.0251607 193.7719578 0.0051607 1166.7867669 29.3571782 5688.5978902

    90 0.1682614 5.9431331 41.5869292 0.0240460 247.1566563 0.0040460 1322.1700825 31.7929241 7857.8328158

    100 0.1380330 7.2446461 43.0983516 0.0232027 312.2323059 0.0032027 1464.7527460 33.9862823 10611.6152956

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA6 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 3.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9708738 1.0300000 0.9708738 1.0300000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.9425959 1.0609000 1.9134697 0.5226108 2.0300000 0.4926108 0.9425959 0.4926108 1.0000000

    3 0.9151417 1.0927270 2.8286114 0.3535304 3.0909000 0.3235304 2.7728792 0.9802970 3.0300000

    4 0.8884870 1.1255088 3.7170984 0.2690270 4.1836270 0.2390270 5.4383404 1.4630606 6.1209000

    5 0.8626088 1.1592741 4.5797072 0.2183546 5.3091358 0.1883546 8.8887755 1.9409048 10.3045270

    6 0.8374843 1.1940523 5.4171914 0.1845975 6.4684099 0.1545975 13.0761968 2.4138332 15.6136628

    7 0.8130915 1.2298739 6.2302830 0.1605064 7.6624622 0.1305064 17.9547459 2.8818508 22.0820727

    8 0.7894092 1.2667701 7.0196922 0.1424564 8.8923360 0.1124564 23.4806105 3.3449630 29.7445349

    9 0.7664167 1.3047732 7.7861089 0.1284339 10.1591061 0.0984339 29.6119444 3.8031762 38.6368709

    10 0.7440939 1.3439164 8.5302028 0.1172305 11.4638793 0.0872305 36.3087896 4.2564978 48.7959770

    11 0.7224213 1.3842339 9.2526241 0.1080774 12.8077957 0.0780774 43.5330024 4.7049358 60.2598564

    12 0.7013799 1.4257609 9.9540040 0.1004621 14.1920296 0.0704621 51.2481810 5.1484991 73.0676521

    13 0.6809513 1.4685337 10.6349553 0.0940295 15.6177904 0.0640295 59.4195971 5.5871976 87.2596816

    14 0.6611178 1.5125897 11.2960731 0.0885263 17.0863242 0.0585263 68.0141286 6.0210418 102.8774721

    15 0.6418619 1.5579674 11.9379351 0.0837666 18.5989139 0.0537666 77.0001959 6.4500431 119.9637962

    16 0.6231669 1.6047064 12.5611020 0.0796108 20.1568813 0.0496108 86.3476999 6.8742137 138.5627101

    17 0.6050164 1.6528476 13.1661185 0.0759525 21.7615877 0.0459525 96.0279631 7.2935667 158.7195914

    18 0.5873946 1.7024331 13.7535131 0.0727087 23.4144354 0.0427087 106.0136714 7.7081158 180.4811792

    19 0.5702860 1.7535061 14.3237991 0.0698139 25.1168684 0.0398139 116.2788199 8.1178756 203.8956145

    20 0.5536758 1.8061112 14.8774749 0.0672157 26.8703745 0.0372157 126.7986592 8.5228616 229.0124830

    21 0.5375493 1.8602946 15.4150241 0.0648718 28.6764857 0.0348718 137.5496447 8.9230898 255.8828575

    22 0.5218925 1.9161034 15.9369166 0.0627474 30.5367803 0.0327474 148.5093873 9.3185772 284.5593432

    23 0.5066917 1.9735865 16.4436084 0.0608139 32.4528837 0.0308139 159.6566057 9.7093413 315.0961235

    24 0.4919337 2.0327941 16.9355421 0.0590474 34.4264702 0.0290474 170.9710817 10.0954006 347.5490072

    25 0.4776056 2.0937779 17.4131477 0.0574279 36.4592643 0.0274279 182.4336153 10.4767741 381.9754774

    26 0.4636947 2.1565913 17.8768424 0.0559383 38.5530423 0.0259383 194.0259835 10.8534818 418.4347417

    27 0.4501891 2.2212890 18.3270315 0.0545642 40.7096335 0.0245642 205.7308990 11.2255440 456.9877840

    28 0.4370768 2.2879277 18.7641082 0.0532932 42.9309225 0.0232932 217.5319713 11.5929821 497.6974175

    29 0.4243464 2.3565655 19.1884546 0.0521147 45.2188502 0.0221147 229.4136694 11.9558179 540.6283400

    30 0.4119868 2.4272625 19.6004413 0.0510193 47.5754157 0.0210193 241.3612855 12.3140740 585.8471902

    31 0.3999871 2.5000803 20.0004285 0.0499989 50.0026782 0.0199989 253.3608998 12.6677736 633.4226059

    32 0.3883370 2.5750828 20.3887655 0.0490466 52.5027585 0.0190466 265.3993479 13.0169405 683.4252841

    33 0.3770262 2.6523352 20.7657918 0.0481561 55.0778413 0.0181561 277.4641878 13.3615992 735.9280426

    34 0.3660449 2.7319053 21.1318367 0.0473220 57.7301765 0.0173220 289.5436695 13.7017749 791.0058839

    35 0.3553834 2.8138625 21.4872201 0.0465393 60.4620818 0.0165393 301.6267050 14.0374932 848.7360604

    36 0.3450324 2.8982783 21.8322525 0.0458038 63.2759443 0.0158038 313.7028399 14.3687803 909.1981422

    37 0.3349829 2.9852267 22.1672354 0.0451116 66.1742226 0.0151116 325.7622256 14.6956632 972.4740865

    38 0.3252262 3.0747835 22.4924616 0.0444593 69.1594493 0.0144593 337.7955932 15.0181692 1038.6483091

    39 0.3157535 3.1670270 22.8082151 0.0438439 72.2342328 0.0138439 349.7942280 15.3363262 1107.8077584

    40 0.3065568 3.2620378 23.1147720 0.0432624 75.4012597 0.0132624 361.7499448 15.6501628 1180.0419911

    50 0.2281071 4.3839060 25.7297640 0.0388655 112.7968673 0.0088655 477.4803339 18.5575093 2093.2289097

    60 0.1697331 5.8916031 27.6755637 0.0361330 163.0534368 0.0061330 583.0526088 21.0674159 3435.1145601

    70 0.1262974 7.9178219 29.1234214 0.0343366 230.5940637 0.0043366 676.0868730 23.2145415 5353.1354579

    80 0.0939771 10.6408906 30.2007634 0.0331117 321.3630185 0.0031117 756.0865239 25.0353447 8045.4339516

    90 0.0699278 14.3004671 31.0024071 0.0322556 443.3489037 0.0022556 823.6302142 26.5666537 11778.2967884

    100 0.0520328 19.2186320 31.5989053 0.0316467 607.2877327 0.0016467 879.8540451 27.8444470 16909.5910898

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA7 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 4.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9615385 1.0400000 0.9615385 1.0400000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.9245562 1.0816000 1.8860947 0.5301961 2.0400000 0.4901961 0.9245562 0.4901961 1.0000000

    3 0.8889964 1.1248640 2.7750910 0.3603485 3.1216000 0.3203485 2.7025489 0.9738596 3.0400000

    4 0.8548042 1.1698586 3.6298952 0.2754900 4.2464640 0.2354900 5.2669615 1.4509955 6.1616000

    5 0.8219271 1.2166529 4.4518223 0.2246271 5.4163226 0.1846271 8.5546699 1.9216108 10.4080640

    6 0.7903145 1.2653190 5.2421369 0.1907619 6.6329755 0.1507619 12.5062426 2.3857146 15.8243866

    7 0.7599178 1.3159318 6.0020547 0.1666096 7.8982945 0.1266096 17.0657494 2.8433179 22.4573620

    8 0.7306902 1.3685691 6.7327449 0.1485278 9.2142263 0.1085278 22.1805809 3.2944336 30.3556565

    9 0.7025867 1.4233118 7.4353316 0.1344930 10.5827953 0.0944930 27.8012748 3.7390766 39.5698828

    10 0.6755642 1.4802443 8.1108958 0.1232909 12.0061071 0.0832909 33.8813523 4.1772639 50.1526781

    11 0.6495809 1.5394541 8.7604767 0.1141490 13.4863514 0.0741490 40.3771616 4.6090142 62.1587852

    12 0.6245970 1.6010322 9.3850738 0.1065522 15.0258055 0.0665522 47.2477291 5.0343482 75.6451366

    13 0.6005741 1.6650735 9.9856478 0.1001437 16.6268377 0.0601437 54.4546182 5.4532885 90.6709421

    14 0.5774751 1.7316764 10.5631229 0.0946690 18.2919112 0.0546690 61.9617942 5.8658594 107.2977798

    15 0.5552645 1.8009435 11.1183874 0.0899411 20.0235876 0.0499411 69.7354973 6.2720874 125.5896909

    16 0.5339082 1.8729812 11.6522956 0.0858200 21.8245311 0.0458200 77.7441199 6.6720003 145.6132786

    17 0.5133732 1.9479005 12.1656689 0.0821985 23.6975124 0.0421985 85.9580919 7.0656281 167.4378097

    18 0.4936281 2.0258165 12.6592970 0.0789933 25.6454129 0.0389933 94.3497699 7.4530023 191.1353221

    19 0.4746424 2.1068492 13.1339394 0.0761386 27.6712294 0.0361386 102.8933335 7.8341563 216.7807350

    20 0.4563869 2.1911231 13.5903263 0.0735818 29.7780786 0.0335818 111.5646855 8.2091248 244.4519644

    21 0.4388336 2.2787681 14.0291599 0.0712801 31.9692017 0.0312801 120.3413576 8.5779447 274.2300430

    22 0.4219554 2.3699188 14.4511153 0.0691988 34.2479698 0.0291988 129.2024207 8.9406539 306.1992447

    23 0.4057263 2.4647155 14.8568417 0.0673091 36.6178886 0.0273091 138.1284000 9.2972923 340.4472145

    24 0.3901215 2.5633042 15.2469631 0.0655868 39.0826041 0.0255868 147.1011939 9.6479012 377.0651031

    25 0.3751168 2.6658363 15.6220799 0.0640120 41.6459083 0.0240120 156.1039972 9.9925233 416.1477072

    26 0.3606892 2.7724698 15.9827692 0.0625674 44.3117446 0.0225674 165.1212280 10.3312027 457.7936155

    27 0.3468166 2.8833686 16.3295857 0.0612385 47.0842144 0.0212385 174.1384588 10.6639851 502.1053601

    28 0.3334775 2.9987033 16.6630632 0.0600130 49.9675830 0.0200130 183.1423506 10.9909173 549.1895745

    29 0.3206514 3.1186515 16.9837146 0.0588799 52.9662863 0.0188799 192.1205902 11.3120477 599.1571575

    30 0.3083187 3.2433975 17.2920333 0.0578301 56.0849378 0.0178301 201.0618315 11.6274256 652.1234438

    31 0.2964603 3.3731334 17.5884936 0.0568554 59.3283353 0.0168554 209.9556393 11.9371019 708.2083815

    32 0.2850579 3.5080587 17.8735515 0.0559486 62.7014687 0.0159486 218.7924354 12.2411282 767.5367168

    33 0.2740942 3.6483811 18.1476457 0.0551036 66.2095274 0.0151036 227.5634489 12.5395576 830.2381854

    34 0.2635521 3.7943163 18.4111978 0.0543148 69.8579085 0.0143148 236.2606679 12.8324442 896.4477129

    35 0.2534155 3.9460890 18.6646132 0.0535773 73.6522249 0.0135773 244.8767939 13.1198429 966.3056214

    36 0.2436687 4.1039326 18.9082820 0.0528869 77.5983138 0.0128869 253.4051992 13.4018098 1039.9578462

    37 0.2342968 4.2680899 19.1425788 0.0522396 81.7022464 0.0122396 261.8398857 13.6784019 1117.5561601

    38 0.2252854 4.4388135 19.3678642 0.0516319 85.9703363 0.0116319 270.1754466 13.9496768 1199.2584065

    39 0.2166206 4.6163660 19.5844848 0.0510608 90.4091497 0.0110608 278.4070297 14.2156933 1285.2287428

    40 0.2082890 4.8010206 19.7927739 0.0505235 95.0255157 0.0105235 286.5303024 14.4765107 1375.6378925

    50 0.1407126 7.1066833 21.4821846 0.0465502 152.6670837 0.0065502 361.1638463 16.8122494 2566.6770914

    60 0.0950604 10.5196274 22.6234900 0.0442018 237.9906852 0.0042018 422.9966478 18.6972323 4449.7671300

    70 0.0642194 15.5716184 23.3945150 0.0427451 364.2904588 0.0027451 472.4789231 20.1961410 7357.2614689

    80 0.0433843 23.0497991 23.9153918 0.0418141 551.2449767 0.0018141 511.1161439 21.3718490 11781.1244187

    90 0.0293089 34.1193333 24.2672776 0.0412078 827.9833335 0.0012078 540.7369234 22.2825540 18449.5833386

    100 0.0198000 50.5049482 24.5049990 0.0408080 1237.6237046 0.0008080 563.1248746 22.9799999 28440.5926152

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA8 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 5.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9523810 1.0500000 0.9523810 1.0500000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.9070295 1.1025000 1.8594104 0.5378049 2.0500000 0.4878049 0.9070295 0.4878049 1.0000000

    3 0.8638376 1.1576250 2.7232480 0.3672086 3.1525000 0.3172086 2.6347047 0.9674861 3.0500000

    4 0.8227025 1.2155063 3.5459505 0.2820118 4.3101250 0.2320118 5.1028121 1.4390534 6.2025000

    5 0.7835262 1.2762816 4.3294767 0.2309748 5.5256313 0.1809748 8.2369168 1.9025202 10.5126250

    6 0.7462154 1.3400956 5.0756921 0.1970175 6.8019128 0.1470175 11.9679937 2.3579038 16.0382563

    7 0.7106813 1.4071004 5.7863734 0.1728198 8.1420085 0.1228198 16.2320817 2.8052254 22.8401691

    8 0.6768394 1.4774554 6.4632128 0.1547218 9.5491089 0.1047218 20.9699573 3.2445098 30.9821775

    9 0.6446089 1.5513282 7.1078217 0.1406901 11.0265643 0.0906901 26.1268286 3.6757856 40.5312864

    10 0.6139133 1.6288946 7.7217349 0.1295046 12.5778925 0.0795046 31.6520479 4.0990850 51.5578507

    11 0.5846793 1.7103394 8.3064142 0.1203889 14.2067872 0.0703889 37.4988408 4.5144439 64.1357432

    12 0.5568374 1.7958563 8.8632516 0.1128254 15.9171265 0.0628254 43.6240524 4.9219016 78.3425304

    13 0.5303214 1.8856491 9.3935730 0.1064558 17.7129828 0.0564558 49.9879086 5.3215011 94.2596569

    14 0.5050680 1.9799316 9.8986409 0.1010240 19.5986320 0.0510240 56.5537920 5.7132886 111.9726398

    15 0.4810171 2.0789282 10.3796580 0.0963423 21.5785636 0.0463423 63.2880313 6.0973137 131.5712718

    16 0.4581115 2.1828746 10.8377696 0.0922699 23.6574918 0.0422699 70.1597042 6.4736294 153.1498354

    17 0.4362967 2.2920183 11.2740662 0.0886991 25.8403664 0.0386991 77.1404512 6.8422918 176.8073271

    18 0.4155207 2.4066192 11.6895869 0.0855462 28.1323847 0.0355462 84.2043023 7.2033600 202.6476935

    19 0.3957340 2.5269502 12.0853209 0.0827450 30.5390039 0.0327450 91.3275135 7.5568961 230.7800782

    20 0.3768895 2.6532977 12.4622103 0.0802426 33.0659541 0.0302426 98.4884137 7.9029651 261.3190821

    21 0.3589424 2.7859626 12.8211527 0.0779961 35.7192518 0.0279961 105.6672610 8.2416350 294.3850362

    22 0.3418499 2.9252607 13.1630026 0.0759705 38.5052144 0.0259705 112.8461083 8.5729762 330.1042880

    23 0.3255713 3.0715238 13.4885739 0.0741368 41.4304751 0.0241368 120.0086770 8.8970619 368.6095024

    24 0.3100679 3.2250999 13.7986418 0.0724709 44.5019989 0.0224709 127.1402390 9.2139676 410.0399775

    25 0.2953028 3.3863549 14.0939446 0.0709525 47.7270988 0.0209525 134.2275055 9.5237714 454.5419764

    26 0.2812407 3.5556727 14.3751853 0.0695643 51.1134538 0.0195643 141.2585238 9.8265533 502.2690752

    27 0.2678483 3.7334563 14.6430336 0.0682919 54.6691264 0.0182919 148.2225801 10.1223957 553.3825289

    28 0.2550936 3.9201291 14.8981273 0.0671225 58.4025828 0.0171225 155.1101083 10.4113830 608.0516554

    29 0.2429463 4.1161356 15.1410736 0.0660455 62.3227119 0.0160455 161.9126053 10.6936014 666.4542382

    30 0.2313774 4.3219424 15.3724510 0.0650514 66.4388475 0.0150514 168.6225513 10.9691390 728.7769501

    31 0.2203595 4.5380395 15.5928105 0.0641321 70.7607899 0.0141321 175.2333356 11.2380854 795.2157976

    32 0.2098662 4.7649415 15.8026767 0.0632804 75.2988294 0.0132804 181.7391868 11.5005319 865.9765874

    33 0.1998725 5.0031885 16.0025492 0.0624900 80.0637708 0.0124900 188.1351080 11.7565711 941.2754168

    34 0.1903548 5.2533480 16.1929040 0.0617554 85.0669594 0.0117554 194.4168164 12.0062971 1021.3391877

    35 0.1812903 5.5160154 16.3741943 0.0610717 90.3203074 0.0110717 200.5806861 12.2498049 1106.4061470

    36 0.1726574 5.7918161 16.5468517 0.0604345 95.8363227 0.0104345 206.6236956 12.4871909 1196.7264544

    37 0.1644356 6.0814069 16.7112873 0.0598398 101.6281389 0.0098398 212.5433784 12.7185521 1292.5627771

    38 0.1566054 6.3854773 16.8678927 0.0592842 107.7095458 0.0092842 218.3377769 12.9439866 1394.1909160

    39 0.1491480 6.7047512 17.0170407 0.0587646 114.0950231 0.0087646 224.0053996 13.1635931 1501.9004618

    40 0.1420457 7.0399887 17.1590864 0.0582782 120.7997742 0.0082782 229.5451812 13.3774711 1615.9954848

    50 0.0872037 11.4673998 18.2559255 0.0547767 209.3479957 0.0047767 277.9147822 15.2232645 3186.9599143

    60 0.0535355 18.6791859 18.9292895 0.0528282 353.5837179 0.0028282 314.3431620 16.6061786 5871.6743576

    70 0.0328662 30.4264255 19.3426766 0.0516992 588.5285107 0.0016992 340.8408984 17.6211858 10370.5702142

    80 0.0201770 49.5614411 19.5964605 0.0510296 971.2288213 0.0010296 359.6460483 18.3526024 17824.5764267

    90 0.0123869 80.7303650 19.7522617 0.0506271 1594.6073010 0.0006271 372.7487916 18.8711954 30092.1460197

    100 0.0076045 131.5012578 19.8479102 0.0503831 2610.0251569 0.0003831 381.7492240 19.2337239 50200.5031385

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA9 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 6.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9433962 1.0600000 0.9433962 1.0600000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.8899964 1.1236000 1.8333927 0.5454369 2.0600000 0.4854369 0.8899964 0.4854369 1.0000000

    3 0.8396193 1.1910160 2.6730119 0.3741098 3.1836000 0.3141098 2.5692350 0.9611760 3.0600000

    4 0.7920937 1.2624770 3.4651056 0.2885915 4.3746160 0.2285915 4.9455160 1.4272338 6.2436000

    5 0.7472582 1.3382256 4.2123638 0.2373964 5.6370930 0.1773964 7.9345487 1.8836333 10.6182160

    6 0.7049605 1.4185191 4.9173243 0.2033626 6.9753185 0.1433626 11.4593514 2.3304038 16.2553090

    7 0.6650571 1.5036303 5.5823814 0.1791350 8.3938376 0.1191350 15.4496941 2.7675812 23.2306275

    8 0.6274124 1.5938481 6.2097938 0.1610359 9.8974679 0.1010359 19.8415807 3.1952076 31.6244651

    9 0.5918985 1.6894790 6.8016923 0.1470222 11.4913160 0.0870222 24.5767684 3.6133314 41.5219331

    10 0.5583948 1.7908477 7.3600871 0.1358680 13.1807949 0.0758680 29.6023214 4.0220070 53.0132490

    11 0.5267875 1.8982986 7.8868746 0.1267929 14.9716426 0.0667929 34.8701966 4.4212947 66.1940440

    12 0.4969694 2.0121965 8.3838439 0.1192770 16.8699412 0.0592770 40.3368596 4.8112608 81.1656866

    13 0.4688390 2.1329283 8.8526830 0.1129601 18.8821377 0.0529601 45.9629279 5.1919772 98.0356278

    14 0.4423010 2.2609040 9.2949839 0.1075849 21.0150659 0.0475849 51.7128404 5.5635212 116.9177655

    15 0.4172651 2.3965582 9.7122490 0.1029628 23.2759699 0.0429628 57.5545513 5.9259757 137.9328314

    16 0.3936463 2.5403517 10.1058953 0.0989521 25.6725281 0.0389521 63.4592455 6.2794284 161.2088013

    17 0.3713644 2.6927728 10.4772597 0.0954448 28.2128798 0.0354448 69.4010762 6.6239721 186.8813294

    18 0.3503438 2.8543392 10.8276035 0.0923565 30.9056525 0.0323565 75.3569207 6.9597045 215.0942091

    19 0.3305130 3.0255995 11.1581165 0.0896209 33.7599917 0.0296209 81.3061549 7.2867276 245.9998617

    20 0.3118047 3.2071355 11.4699212 0.0871846 36.7855912 0.0271846 87.2304447 7.6051477 279.7598534

    21 0.2941554 3.3995636 11.7640766 0.0850045 39.9927267 0.0250045 93.1135527 7.9150753 316.5454446

    22 0.2775051 3.6035374 12.0415817 0.0830456 43.3922903 0.0230456 98.9411598 8.2166249 356.5381713

    23 0.2617973 3.8197497 12.3033790 0.0812785 46.9958277 0.0212785 104.7006995 8.5099142 399.9304615

    24 0.2469785 4.0489346 12.5503575 0.0796790 50.8155774 0.0196790 110.3812061 8.7950647 446.9262892

    25 0.2329986 4.2918707 12.7833562 0.0782267 54.8645120 0.0182267 115.9731733 9.0722007 497.7418666

    26 0.2198100 4.5493830 13.0031662 0.0769043 59.1563827 0.0169043 121.4684240 9.3414498 552.6063786

    27 0.2073680 4.8223459 13.2105341 0.0756972 63.7057657 0.0156972 126.8599907 9.6029418 611.7627613

    28 0.1956301 5.1116867 13.4061643 0.0745926 68.5281116 0.0145926 132.1420046 9.8568093 675.4685270

    29 0.1845567 5.4183879 13.5907210 0.0735796 73.6397983 0.0135796 137.3095933 10.1031868 743.9966386

    30 0.1741101 5.7434912 13.7648312 0.0726489 79.0581862 0.0126489 142.3587871 10.3422109 817.6364369

    31 0.1642548 6.0881006 13.9290860 0.0717922 84.8016774 0.0117922 147.2864323 10.5740199 896.6946231

    32 0.1549574 6.4533867 14.0840434 0.0710023 90.8897780 0.0110023 152.0901116 10.7987534 981.4963005

    33 0.1461862 6.8405899 14.2302296 0.0702729 97.3431647 0.0102729 156.7680707 11.0165524 1072.3860786

    34 0.1379115 7.2510253 14.3681411 0.0695984 104.1837546 0.0095984 161.3191513 11.2275589 1169.7292433

    35 0.1301052 7.6860868 14.4982464 0.0689739 111.4347799 0.0089739 165.7427287 11.4319156 1273.9129979

    36 0.1227408 8.1472520 14.6209871 0.0683948 119.1208667 0.0083948 170.0386557 11.6297658 1385.3477777

    37 0.1157932 8.6360871 14.7367803 0.0678574 127.2681187 0.0078574 174.2072102 11.8212531 1504.4686444

    38 0.1092389 9.1542523 14.8460192 0.0673581 135.9042058 0.0073581 178.2490477 12.0065215 1631.7367631

    39 0.1030555 9.7035075 14.9490747 0.0668938 145.0584581 0.0068938 182.1651574 12.1857146 1767.6409688

    40 0.0972222 10.2857179 15.0462969 0.0664615 154.7619656 0.0064615 185.9568227 12.3589761 1912.6994270

    50 0.0542884 18.4201543 15.7618606 0.0634443 290.3359046 0.0034443 217.4573758 13.7964280 4005.5984097

    60 0.0303143 32.9876909 16.1614277 0.0618757 533.1281809 0.0018757 239.0427907 14.7909452 7885.4696815

    70 0.0169274 59.0759302 16.3845439 0.0610331 967.9321696 0.0010331 253.3271354 15.4613480 14965.5361608

    80 0.0094522 105.7959935 16.5091308 0.0605725 1746.5998914 0.0005725 262.5493078 15.9032787 27776.6648561

    90 0.0052780 189.4645112 16.5786994 0.0603184 3141.0751872 0.0003184 268.3946075 16.1891232 50851.2531197

    100 0.0029472 339.3020835 16.6175462 0.0601774 5638.3680586 0.0001774 272.0470601 16.3710729 92306.1343096

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA10 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 7.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9345794 1.0700000 0.9345794 1.0700000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.8734387 1.1449000 1.8080182 0.5530918 2.0700000 0.4830918 0.8734387 0.4830918 1.0000000

    3 0.8162979 1.2250430 2.6243160 0.3810517 3.2149000 0.3110517 2.5060345 0.9549286 3.0700000

    4 0.7628952 1.3107960 3.3872113 0.2952281 4.4399430 0.2252281 4.7947201 1.4155362 6.2849000

    5 0.7129862 1.4025517 4.1001974 0.2438907 5.7507390 0.1738907 7.6466648 1.8649504 10.7248430

    6 0.6663422 1.5007304 4.7665397 0.2097958 7.1532907 0.1397958 10.9783760 2.3032172 16.4755820

    7 0.6227497 1.6057815 5.3892894 0.1855532 8.6540211 0.1155532 14.7148744 2.7303923 23.6288728

    8 0.5820091 1.7181862 5.9712985 0.1674678 10.2598026 0.0974678 18.7889381 3.1465414 32.2828938

    9 0.5439337 1.8384592 6.5152322 0.1534865 11.9779887 0.0834865 23.1404081 3.5517396 42.5426964

    10 0.5083493 1.9671514 7.0235815 0.1423775 13.8164480 0.0723775 27.7155517 3.9460710 54.5206852

    11 0.4750928 2.1048520 7.4986743 0.1333569 15.7835993 0.0633569 32.4664797 4.3296292 68.3371331

    12 0.4440120 2.2521916 7.9426863 0.1259020 17.8884513 0.0559020 37.3506112 4.7025162 84.1207324

    13 0.4149644 2.4098450 8.3576507 0.1196508 20.1406429 0.0496508 42.3301846 5.0648425 102.0091837

    14 0.3878172 2.5785342 8.7454680 0.1143449 22.5504879 0.0443449 47.3718087 5.4167266 122.1498266

    15 0.3624460 2.7590315 9.1079140 0.1097946 25.1290220 0.0397946 52.4460530 5.7582947 144.7003144

    16 0.3387346 2.9521637 9.4466486 0.1058576 27.8880536 0.0358576 57.5270720 6.0896805 169.8293364

    17 0.3165744 3.1588152 9.7632230 0.1024252 30.8402173 0.0324252 62.5922622 6.4110245 197.7173900

    18 0.2958639 3.3799323 10.0590869 0.0994126 33.9990325 0.0294126 67.6219488 6.7224739 228.5576073

    19 0.2765083 3.6165275 10.3355952 0.0967530 37.3789648 0.0267530 72.5990988 7.0241817 262.5566398

    20 0.2584190 3.8696845 10.5940142 0.0943929 40.9954923 0.0243929 77.5090598 7.3163069 299.9356046

    21 0.2415131 4.1405624 10.8355273 0.0922890 44.8651768 0.0222890 82.3393216 7.5990138 340.9310969

    22 0.2257132 4.4304017 11.0612405 0.0904058 49.0057392 0.0204058 87.0792980 7.8724713 385.7962737

    23 0.2109469 4.7405299 11.2721874 0.0887139 53.4361409 0.0187139 91.7201295 8.1368528 434.8020129

    24 0.1971466 5.0723670 11.4693340 0.0871890 58.1766708 0.0171890 96.2545017 8.3923357 488.2381538

    25 0.1842492 5.4274326 11.6535832 0.0858105 63.2490377 0.0158105 100.6764820 8.6391010 546.4148245

    26 0.1721955 5.8073529 11.8257787 0.0845610 68.6764704 0.0145610 104.9813693 8.8773325 609.6638622

    27 0.1609304 6.2138676 11.9867090 0.0834257 74.4838233 0.0134257 109.1655589 9.1072169 678.3403326

    28 0.1504022 6.6488384 12.1371113 0.0823919 80.6976909 0.0123919 113.2264186 9.3289430 752.8241559

    29 0.1405628 7.1142570 12.2776741 0.0814487 87.3465293 0.0114487 117.1621774 9.5427014 833.5218468

    30 0.1313671 7.6122550 12.4090412 0.0805864 94.4607863 0.0105864 120.9718238 9.7486842 920.8683761

    31 0.1227730 8.1451129 12.5318142 0.0797969 102.0730414 0.0097969 124.6550140 9.9470844 1015.3291624

    32 0.1147411 8.7152708 12.6465553 0.0790729 110.2181543 0.0090729 128.2119890 10.1380958 1117.4022037

    33 0.1072347 9.3253398 12.7537900 0.0784081 118.9334251 0.0084081 131.6434994 10.3219121 1227.6203580

    34 0.1002193 9.9781135 12.8540094 0.0777967 128.2587648 0.0077967 134.9507377 10.4987272 1346.5537831

    35 0.0936629 10.6765815 12.9476723 0.0772340 138.2368784 0.0072340 138.1352777 10.6687345 1474.8125479

    36 0.0875355 11.4239422 13.0352078 0.0767153 148.9134598 0.0067153 141.1990187 10.8321264 1613.0494262

    37 0.0818088 12.2236181 13.1170166 0.0762368 160.3374020 0.0062368 144.1441368 10.9890946 1761.9628861

    38 0.0764569 13.0792714 13.1934735 0.0757951 172.5610202 0.0057951 146.9730406 11.1398292 1922.3002881

    39 0.0714550 13.9948204 13.2649285 0.0753868 185.6402916 0.0053868 149.6883309 11.2845185 2094.8613083

    40 0.0667804 14.9744578 13.3317088 0.0750091 199.6351120 0.0050091 152.2927657 11.4233492 2280.5015998

    50 0.0339478 29.4570251 13.8007463 0.0724598 406.5289295 0.0024598 172.9051189 12.5286789 5093.2704210

    60 0.0172573 57.9464268 14.0391812 0.0712292 813.5203834 0.0012292 185.7677426 13.2320924 10764.5769050

    70 0.0087727 113.9893922 14.1603893 0.0706195 1614.1341743 0.0006195 193.5185302 13.6661871 22059.0596322

    80 0.0044596 224.2343876 14.2220054 0.0703136 3189.0626797 0.0003136 198.0747985 13.9273466 44415.1811384

    90 0.0022670 441.1029799 14.2533279 0.0701591 6287.1854268 0.0001591 200.7041993 14.0812167 88531.2203827

    100 0.0011525 867.7163256 14.2692507 0.0700808 12381.6617938 0.0000808 202.2000810 14.1703363 175452.3113401

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA11 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 8.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9259259 1.0800000 0.9259259 1.0800000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.8573388 1.1664000 1.7832647 0.5607692 2.0800000 0.4807692 0.8573388 0.4807692 1.0000000

    3 0.7938322 1.2597120 2.5770970 0.3880335 3.2464000 0.3080335 2.4450033 0.9487432 3.0800000

    4 0.7350299 1.3604890 3.3121268 0.3019208 4.5061120 0.2219208 4.6500929 1.4039598 6.3264000

    5 0.6805832 1.4693281 3.9927100 0.2504565 5.8666010 0.1704565 7.3724256 1.8464716 10.8325120

    6 0.6301696 1.5868743 4.6228797 0.2163154 7.3359290 0.1363154 10.5232738 2.2763460 16.6991130

    7 0.5834904 1.7138243 5.2063701 0.1920724 8.9228034 0.1120724 14.0242162 2.6936649 24.0350420

    8 0.5402689 1.8509302 5.7466389 0.1740148 10.6366276 0.0940148 17.8060983 3.0985239 32.9578454

    9 0.5002490 1.9990046 6.2468879 0.1600797 12.4875578 0.0800797 21.8080901 3.4910327 43.5944730

    10 0.4631935 2.1589250 6.7100814 0.1490295 14.4865625 0.0690295 25.9768315 3.8713139 56.0820308

    11 0.4288829 2.3316390 7.1389643 0.1400763 16.6454875 0.0600763 30.2656601 4.2395030 70.5685933

    12 0.3971138 2.5181701 7.5360780 0.1326950 18.9771265 0.0526950 34.6339114 4.5957475 87.2140808

    13 0.3676979 2.7196237 7.9037759 0.1265218 21.4952966 0.0465218 39.0462865 4.9402067 106.1912072

    14 0.3404610 2.9371936 8.2442370 0.1212969 24.2149203 0.0412969 43.4722800 5.2730508 127.6865038

    15 0.3152417 3.1721691 8.5594787 0.1168295 27.1521139 0.0368295 47.8856639 5.5944603 151.9014241

    16 0.2918905 3.4259426 8.8513692 0.1129769 30.3242830 0.0329769 52.2640209 5.9046256 179.0535380

    17 0.2702690 3.7000181 9.1216381 0.1096294 33.7502257 0.0296294 56.5883242 6.2037458 209.3778211

    18 0.2502490 3.9960195 9.3718871 0.1067021 37.4502437 0.0267021 60.8425576 6.4920284 243.1280467

    19 0.2317121 4.3157011 9.6035992 0.1041276 41.4462632 0.0241276 65.0133748 6.7696885 280.5782905

    20 0.2145482 4.6609571 9.8181474 0.1018522 45.7619643 0.0218522 69.0897907 7.0369478 322.0245537

    21 0.1986557 5.0338337 10.0168032 0.0998323 50.4229214 0.0198323 73.0629057 7.2940343 367.7865180

    22 0.1839405 5.4365404 10.2007437 0.0980321 55.4567552 0.0180321 76.9256563 7.5411812 418.2094395

    23 0.1703153 5.8714636 10.3710589 0.0964222 60.8932956 0.0164222 80.6725926 7.7786264 473.6661946

    24 0.1576993 6.3411807 10.5287583 0.0949780 66.7647592 0.0149780 84.2996774 8.0066115 534.5594902

    25 0.1460179 6.8484752 10.6747762 0.0936788 73.1059400 0.0136788 87.8041071 8.2253815 601.3242494

    26 0.1352018 7.3963532 10.8099780 0.0925071 79.9544151 0.0125071 91.1841512 8.4351838 674.4301894

    27 0.1251868 7.9880615 10.9351648 0.0914481 87.3507684 0.0114481 94.4390084 8.6362675 754.3846045

    28 0.1159137 8.6271064 11.0510785 0.0904889 95.3388298 0.0104889 97.5686789 8.8288830 841.7353729

    29 0.1073275 9.3172749 11.1584060 0.0896185 103.9659362 0.0096185 100.5738494 9.0132810 937.0742027

    30 0.0993773 10.0626569 11.2577833 0.0888274 113.2832111 0.0088274 103.4557921 9.1897125 1041.0401389

    31 0.0920160 10.8676694 11.3497994 0.0881073 123.3458680 0.0081073 106.2162735 9.3584274 1154.3233500

    32 0.0852000 11.7370830 11.4349994 0.0874508 134.2135374 0.0074508 108.8574749 9.5196747 1277.6692180

    33 0.0788889 12.6760496 11.5138884 0.0868516 145.9506204 0.0068516 111.3819207 9.6737016 1411.8827555

    34 0.0730453 13.6901336 11.5869337 0.0863041 158.6266701 0.0063041 113.7924158 9.8207532 1557.8333759

    35 0.0676345 14.7853443 11.6545682 0.0858033 172.3168037 0.0058033 116.0919903 9.9610718 1716.4600460

    36 0.0626246 15.9681718 11.7171928 0.0853447 187.1021480 0.0053447 118.2838505 10.0948967 1888.7768497

    37 0.0579857 17.2456256 11.7751785 0.0849244 203.0703198 0.0049244 120.3713363 10.2224638 2075.8789976

    38 0.0536905 18.6252756 11.8288690 0.0845389 220.3159454 0.0045389 122.3578841 10.3440053 2278.9493175

    39 0.0497134 20.1152977 11.8785824 0.0841851 238.9412210 0.0041851 124.2469936 10.4597493 2499.2652628

    40 0.0460309 21.7245215 11.9246133 0.0838602 259.0565187 0.0038602 126.0422000 10.5699192 2738.2064839

    50 0.0213212 46.9016125 12.2334846 0.0817429 573.7701564 0.0017429 139.5927902 11.4107136 6547.1269552

    60 0.0098759 101.2570637 12.3765518 0.0807979 1253.2132958 0.0007979 147.3000071 11.9015384 14915.1661980

    70 0.0045744 218.6064059 12.4428196 0.0803676 2720.0800738 0.0003676 151.5326177 12.1783183 33126.0009221

    80 0.0021188 471.9548343 12.4735144 0.0801699 5886.9354283 0.0001699 153.8000834 12.3301323 72586.6928539

    90 0.0009814 1,018.9150893 12.4877320 0.0800786 12723.9386160 0.0000786 154.9925351 12.4115840 157924.2326997

    100 0.0004546 2,199.7612563 12.4943176 0.0800364 27484.5157043 0.0000364 155.6107261 12.4545198 342306.4463033

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA12 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 9.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9174312 1.0900000 0.9174312 1.0900000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.8416800 1.1881000 1.7591112 0.5684689 2.0900000 0.4784689 0.8416800 0.4784689 1.0000000

    3 0.7721835 1.2950290 2.5312947 0.3950548 3.2781000 0.3050548 2.3860470 0.9426192 3.0900000

    4 0.7084252 1.4115816 3.2397199 0.3086687 4.5731290 0.2186687 4.5113226 1.3925039 6.3681000

    5 0.6499314 1.5386240 3.8896513 0.2570925 5.9847106 0.1670925 7.1110481 1.8281968 10.9412290

    6 0.5962673 1.6771001 4.4859186 0.2229198 7.5233346 0.1329198 10.0923848 2.2497922 16.9259396

    7 0.5470342 1.8280391 5.0329528 0.1986905 9.2004347 0.1086905 13.3745902 2.6574042 24.4492742

    8 0.5018663 1.9925626 5.5348191 0.1806744 11.0284738 0.0906744 16.8876542 3.0511664 33.6497089

    9 0.4604278 2.1718933 5.9952469 0.1667988 13.0210364 0.0767988 20.5710764 3.4312309 44.6781826

    10 0.4224108 2.3673637 6.4176577 0.1558201 15.1929297 0.0658201 24.3727737 3.7977678 57.6992191

    11 0.3875329 2.5804264 6.8051906 0.1469467 17.5602934 0.0569467 28.2481022 4.1509642 72.8921488

    12 0.3555347 2.8126648 7.1607253 0.1396507 20.1407198 0.0496507 32.1589842 4.4910233 90.4524422

    13 0.3261786 3.0658046 7.4869039 0.1335666 22.9533846 0.0435666 36.0731279 4.8181636 110.5931620

    14 0.2992465 3.3417270 7.7861504 0.1284332 26.0191892 0.0384332 39.9633320 5.1326175 133.5465466

    15 0.2745380 3.6424825 8.0606884 0.1240589 29.3609162 0.0340589 43.8068646 5.4346307 159.5657358

    16 0.2518698 3.9703059 8.3125582 0.1202999 33.0033987 0.0302999 47.5849110 5.7244605 188.9266520

    17 0.2310732 4.3276334 8.5436314 0.1170462 36.9737046 0.0270462 51.2820818 6.0023753 221.9300507

    18 0.2119937 4.7171204 8.7556251 0.1142123 41.3013380 0.0242123 54.8859754 6.2686530 258.9037552

    19 0.1944897 5.1416613 8.9501148 0.1117304 46.0184584 0.0217304 58.3867895 6.5235800 300.2050932

    20 0.1784309 5.6044108 9.1285457 0.1095465 51.1601196 0.0195465 61.7769764 6.7674500 346.2235516

    21 0.1636981 6.1088077 9.2922437 0.1076166 56.7645304 0.0176166 65.0509377 7.0005630 397.3836712

    22 0.1501817 6.6586004 9.4424254 0.1059050 62.8733381 0.0159050 68.2047536 7.2232239 454.1482016

    23 0.1377814 7.2578745 9.5802068 0.1043819 69.5319386 0.0143819 71.2359440 7.4357418 517.0215398

    24 0.1264049 7.9110832 9.7066118 0.1030226 76.7898131 0.0130226 74.1432577 7.6384283 586.5534784

    25 0.1159678 8.6230807 9.8225796 0.1018063 84.7008962 0.0118063 76.9264857 7.8315971 663.3432914

    26 0.1063925 9.3991579 9.9289721 0.1007154 93.3239769 0.0107154 79.5862985 8.0155627 748.0441876

    27 0.0976078 10.2450821 10.0265799 0.0997349 102.7231348 0.0097349 82.1241015 8.1906395 841.3681645

    28 0.0895484 11.1671395 10.1161284 0.0988520 112.9682169 0.0088520 84.5419095 8.3571408 944.0912993

    29 0.0821545 12.1721821 10.1982829 0.0980557 124.1353565 0.0080557 86.8422366 8.5153783 1057.0595163

    30 0.0753711 13.2676785 10.2736540 0.0973364 136.3075385 0.0073364 89.0279995 8.6656606 1181.1948727

    31 0.0691478 14.4617695 10.3428019 0.0966856 149.5752170 0.0066856 91.1024345 8.8082935 1317.5024113

    32 0.0634384 15.7633288 10.4062403 0.0960962 164.0369865 0.0060962 93.0690242 8.9435783 1467.0776283

    33 0.0582003 17.1820284 10.4644406 0.0955617 179.8003153 0.0055617 94.9314353 9.0718118 1631.1146148

    34 0.0533948 18.7284109 10.5178354 0.0950766 196.9823437 0.0050766 96.6934641 9.1932855 1810.9149302

    35 0.0489861 20.4139679 10.5668215 0.0946358 215.7107547 0.0046358 98.3589904 9.3082854 2007.8972739

    36 0.0449413 22.2512250 10.6117628 0.0942350 236.1247226 0.0042350 99.9319375 9.4170911 2223.6080285

    37 0.0412306 24.2538353 10.6529934 0.0938703 258.3759476 0.0038703 101.4162388 9.5199757 2459.7327511

    38 0.0378262 26.4366805 10.6908196 0.0935382 282.6297829 0.0035382 102.8158094 9.6172055 2718.1086987

    39 0.0347030 28.8159817 10.7255226 0.0932356 309.0664633 0.0032356 104.1345220 9.7090394 3000.7384816

    40 0.0318376 31.4094201 10.7573602 0.0929596 337.8824450 0.0029596 105.3761878 9.7957292 3309.8049449

    50 0.0134485 74.3575201 10.9616829 0.0912269 815.0835564 0.0012269 114.3250662 10.4295177 8500.9284044

    60 0.0056808 176.0312920 11.0479910 0.0905142 1944.7921329 0.0005142 118.9682503 10.7683153 20942.1348099

    70 0.0023996 416.7300862 11.0844485 0.0902165 4619.2231798 0.0002165 121.2941563 10.9427326 50546.9242195

    80 0.0010136 986.5516681 11.0998485 0.0900913 10950.5740903 0.0000913 122.4306445 11.0299383 120784.1565590

    90 0.0004282 2,335.5265822 11.1063537 0.0900386 25939.1842470 0.0000386 122.9757608 11.0725594 287213.1583005

    100 0.0001809 5,529.0407918 11.1091015 0.0900163 61422.6754647 0.0000163 123.2335022 11.0930215 681363.0607192

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA13 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 10.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.9090909 1.1000000 0.9090909 1.1000000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.8264463 1.2100000 1.7355372 0.5761905 2.1000000 0.4761905 0.8264463 0.4761905 1.0000000

    3 0.7513148 1.3310000 2.4868520 0.4021148 3.3100000 0.3021148 2.3290759 0.9365559 3.1000000

    4 0.6830135 1.4641000 3.1698654 0.3154708 4.6410000 0.2154708 4.3781162 1.3811679 6.4100000

    5 0.6209213 1.6105100 3.7907868 0.2637975 6.1051000 0.1637975 6.8618015 1.8101260 11.0510000

    6 0.5644739 1.7715610 4.3552607 0.2296074 7.7156100 0.1296074 9.6841712 2.2235572 17.1561000

    7 0.5131581 1.9487171 4.8684188 0.2054055 9.4871710 0.1054055 12.7631199 2.6216150 24.8717100

    8 0.4665074 2.1435888 5.3349262 0.1874440 11.4358881 0.0874440 16.0286716 3.0044786 34.3588810

    9 0.4240976 2.3579477 5.7590238 0.1736405 13.5794769 0.0736405 19.4214525 3.3723515 45.7947691

    10 0.3855433 2.5937425 6.1445671 0.1627454 15.9374246 0.0627454 22.8913421 3.7254605 59.3742460

    11 0.3504939 2.8531167 6.4950610 0.1539631 18.5311671 0.0539631 26.3962811 4.0640544 75.3116706

    12 0.3186308 3.1384284 6.8136918 0.1467633 21.3842838 0.0467633 29.9012201 4.3884022 93.8428377

    13 0.2896644 3.4522712 7.1033562 0.1407785 24.5227121 0.0407785 33.3771927 4.6987919 115.2271214

    14 0.2633313 3.7974983 7.3666875 0.1357462 27.9749834 0.0357462 36.8004990 4.9955287 139.7498336

    15 0.2393920 4.1772482 7.6060795 0.1314738 31.7724817 0.0314738 40.1519877 5.2789335 167.7248169

    16 0.2176291 4.5949730 7.8237086 0.1278166 35.9497299 0.0278166 43.4164247 5.5493407 199.4972986

    17 0.1978447 5.0544703 8.0215533 0.1246641 40.5447028 0.0246641 46.5819394 5.8070972 235.4470285

    18 0.1798588 5.5599173 8.2014121 0.1219302 45.5991731 0.0219302 49.6395388 6.0525600 275.9917313

    19 0.1635080 6.1159090 8.3649201 0.1195469 51.1590904 0.0195469 52.5826827 6.2860950 321.5909045

    20 0.1486436 6.7274999 8.5135637 0.1174596 57.2749995 0.0174596 55.4069116 6.5080750 372.7499949

    21 0.1351306 7.4002499 8.6486943 0.1156244 64.0024994 0.0156244 58.1095230 6.7188781 430.0249944

    22 0.1228460 8.1402749 8.7715403 0.1140051 71.4027494 0.0140051 60.6892885 6.9188862 494.0274939

    23 0.1116782 8.9543024 8.8832184 0.1125718 79.5430243 0.0125718 63.1462079 7.1084831 565.4302433

    24 0.1015256 9.8497327 8.9847440 0.1112998 88.4973268 0.0112998 65.4812967 7.2880537 644.9732676

    25 0.0922960 10.8347059 9.0770400 0.1101681 98.3470594 0.0101681 67.6964006 7.4579820 733.4705943

    26 0.0839055 11.9181765 9.1609455 0.1091590 109.1817654 0.0091590 69.7940370 7.6186500 831.8176538

    27 0.0762777 13.1099942 9.2372232 0.1082576 121.0999419 0.0082576 71.7772568 7.7704366 940.9994191

    28 0.0693433 14.4209936 9.3065665 0.1074510 134.2099361 0.0074510 73.6495272 7.9137163 1062.0993611

    29 0.0630394 15.8630930 9.3696059 0.1067281 148.6309297 0.0067281 75.4146306 8.0488583 1196.3092972

    30 0.0573086 17.4494023 9.4269145 0.1060792 164.4940227 0.0060792 77.0765787 8.1762255 1344.9402269

    31 0.0520987 19.1943425 9.4790132 0.1054962 181.9434250 0.0054962 78.6395392 8.2961737 1509.4342496

    32 0.0473624 21.1137767 9.5263756 0.1049717 201.1377675 0.0049717 80.1077749 8.4090507 1691.3776745

    33 0.0430568 23.2251544 9.5694324 0.1044994 222.2515442 0.0044994 81.4855913 8.5151959 1892.5154420

    34 0.0391425 25.5476699 9.6085749 0.1040737 245.4766986 0.0040737 82.7772943 8.6149398 2114.7669862

    35 0.0355841 28.1024368 9.6441590 0.1036897 271.0243685 0.0036897 83.9871538 8.7086032 2360.2436848

    36 0.0323492 30.9126805 9.6765082 0.1033431 299.1268053 0.0033431 85.1193752 8.7964970 2631.2680533

    37 0.0294083 34.0039486 9.7059165 0.1030299 330.0394859 0.0030299 86.1780758 8.8789220 2930.3948586

    38 0.0267349 37.4043434 9.7326514 0.1027469 364.0434344 0.0027469 87.1672657 8.9561685 3260.4343445

    39 0.0243044 41.1447778 9.7569558 0.1024910 401.4477779 0.0024910 88.0908337 9.0285162 3624.4777789

    40 0.0220949 45.2592556 9.7790507 0.1022594 442.5925557 0.0022594 88.9525359 9.0962342 4025.9255568

    50 0.0085186 117.3908529 9.9148145 0.1008592 1163.9085288 0.0008592 94.8888692 9.5704130 11139.0852880

    60 0.0032843 304.4816395 9.9671573 0.1003295 3034.8163954 0.0003295 97.7010108 9.8022945 29748.1639541

    70 0.0012662 789.7469568 9.9873377 0.1001268 7887.4695680 0.0001268 98.9870173 9.9112516 78174.6956799

    80 0.0004882 2,048.4002146 9.9951181 0.1000488 20474.0021459 0.0000488 99.5606327 9.9609261 203940.0214585

    90 0.0001882 5,313.0226118 9.9981178 0.1000188 53120.2261185 0.0000188 99.8117832 9.9830573 530302.2611848

    100 0.0000726 13,780.6123398 9.9992743 0.1000073 137796.1233982 0.0000073 99.9201777 9.9927429 1376961.2339822

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA14 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 12.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.8928571 1.1200000 0.8928571 1.1200000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.7971939 1.2544000 1.6900510 0.5916981 2.1200000 0.4716981 0.7971939 0.4716981 1.0000000

    3 0.7117802 1.4049280 2.4018313 0.4163490 3.3744000 0.2963490 2.2207544 0.9246088 3.1200000

    4 0.6355181 1.5735194 3.0373493 0.3292344 4.7793280 0.2092344 4.1273086 1.3588521 6.4944000

    5 0.5674269 1.7623417 3.6047762 0.2774097 6.3528474 0.1574097 6.3970160 1.7745945 11.2737280

    6 0.5066311 1.9738227 4.1114073 0.2432257 8.1151890 0.1232257 8.9301716 2.1720474 17.6265754

    7 0.4523492 2.2106814 4.5637565 0.2191177 10.0890117 0.0991177 11.6442669 2.5514654 25.7417644

    8 0.4038832 2.4759632 4.9676398 0.2013028 12.2996931 0.0813028 14.4714495 2.9131439 35.8307761

    9 0.3606100 2.7730788 5.3282498 0.1876789 14.7756563 0.0676789 17.3563297 3.2574167 48.1304693

    10 0.3219732 3.1058482 5.6502230 0.1769842 17.5487351 0.0569842 20.2540889 3.5846530 62.9061256

    11 0.2874761 3.4785500 5.9376991 0.1684154 20.6545833 0.0484154 23.1288499 3.8952546 80.4548606

    12 0.2566751 3.8959760 6.1943742 0.1614368 24.1331333 0.0414368 25.9522759 4.1896526 101.1094439

    13 0.2291742 4.3634931 6.4235484 0.1556772 28.0291093 0.0356772 28.7023662 4.4683039 125.2425772

    14 0.2046198 4.8871123 6.6281682 0.1508712 32.3926024 0.0308712 31.3624238 4.7316880 153.2716865

    15 0.1826963 5.4735658 6.8108645 0.1468242 37.2797147 0.0268242 33.9201714 4.9803034 185.6642888

    16 0.1631217 6.1303937 6.9739862 0.1433900 42.7532804 0.0233900 36.3669963 5.2146643 222.9440035

    17 0.1456443 6.8660409 7.1196305 0.1404567 48.8836741 0.0204567 38.6973058 5.4352969 265.6972839

    18 0.1300396 7.6899658 7.2496701 0.1379373 55.7497150 0.0179373 40.9079788 5.6427366 314.5809580

    19 0.1161068 8.6127617 7.3657769 0.1357630 63.4396808 0.0157630 42.9979008 5.8375242 370.3306729

    20 0.1036668 9.6462931 7.4694436 0.1338788 72.0524424 0.0138788 44.9675694 6.0202033 433.7703537

    21 0.0925596 10.8038483 7.5620032 0.1322401 81.6987355 0.0122401 46.8187616 6.1913173 505.8227961

    22 0.0826425 12.1003101 7.6446457 0.1308105 92.5025838 0.0108105 48.5542543 6.3514067 587.5215317

    23 0.0737880 13.5523473 7.7184337 0.1295600 104.6028939 0.0095600 50.1775893 6.5010067 680.0241155

    24 0.0658821 15.1786289 7.7843158 0.1284634 118.1552411 0.0084634 51.6928777 6.6406450 784.6270093

    25 0.0588233 17.0000644 7.8431391 0.1275000 133.3338701 0.0075000 53.1046371 6.7708396 902.7822505

    26 0.0525208 19.0400721 7.8956599 0.1266519 150.3339345 0.0066519 54.4176573 6.8920974 1036.1161205

    27 0.0468936 21.3248808 7.9425535 0.1259041 169.3740066 0.0059041 55.6368904 7.0049123 1186.4500550

    28 0.0418693 23.8838665 7.9844228 0.1252439 190.6988874 0.0052439 56.7673606 7.1097639 1355.8240616

    29 0.0373833 26.7499305 8.0218060 0.1246602 214.5827539 0.0046602 57.8140923 7.2071167 1546.5229490

    30 0.0333779 29.9599221 8.0551840 0.1241437 241.3326843 0.0041437 58.7820521 7.2974189 1761.1057028

    31 0.0298017 33.5551128 8.0849857 0.1236861 271.2926065 0.0036861 59.6761036 7.3811020 2002.4383872

    32 0.0266087 37.5817263 8.1115944 0.1232803 304.8477192 0.0032803 60.5009726 7.4585796 2273.7309936

    33 0.0237577 42.0915335 8.1353521 0.1229203 342.4294455 0.0029203 61.2612205 7.5302482 2578.5787129

    34 0.0212123 47.1425175 8.1565644 0.1226006 384.5209790 0.0026006 61.9612255 7.5964858 2921.0081584

    35 0.0189395 52.7996196 8.1755039 0.1223166 431.6634965 0.0023166 62.6051696 7.6576527 3305.5291374

    36 0.0169103 59.1355739 8.1924142 0.1220641 484.4631161 0.0020641 63.1970299 7.7140911 3737.1926339

    37 0.0150985 66.2318428 8.2075127 0.1218396 543.5986900 0.0018396 63.7405751 7.7661257 4221.6557500

    38 0.0134808 74.1796639 8.2209935 0.1216398 609.8305328 0.0016398 64.2393641 7.8140634 4765.2544400

    39 0.0120364 83.0812236 8.2330299 0.1214620 684.0101967 0.0014620 64.6967478 7.8581942 5375.0849728

    40 0.0107468 93.0509704 8.2437767 0.1213036 767.0914203 0.0013036 65.1158730 7.8987915 6059.0951695

    50 0.0034602 289.0021898 8.3044985 0.1204167 2400.0182486 0.0004167 67.7624118 8.1597235 19583.4854049

    60 0.0011141 897.5969335 8.3240493 0.1201338 7471.6411124 0.0001338 68.8100345 8.2664136 61763.6759369

    70 0.0003587 2,787.7998277 8.3303441 0.1200431 23223.3318975 0.0000431 69.2102893 8.3082149 192944.4324791

    80 0.0001155 8,658.4831001 8.3323709 0.1200139 72145.6925007 0.0000139 69.3594283 8.3240928 600547.4375055

    90 0.0000372 26,891.9342234 8.3330235 0.1200045 224091.1185280 0.0000045 69.4139727 8.3299865 1866675.9877334

    100 0.0000120 83,522.2657265 8.3332336 0.1200014 696010.5477211 0.0000014 69.4336356 8.3321360 5799254.5643428

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA15 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 15.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.8695652 1.1500000 0.8695652 1.1500000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.7561437 1.3225000 1.6257089 0.6151163 2.1500000 0.4651163 0.7561437 0.4651163 1.0000000

    3 0.6575162 1.5208750 2.2832251 0.4379770 3.4725000 0.2879770 2.0711761 0.9071274 3.1500000

    4 0.5717532 1.7490063 2.8549784 0.3502654 4.9933750 0.2002654 3.7864359 1.3262573 6.6225000

    5 0.4971767 2.0113572 3.3521551 0.2983156 6.7423813 0.1483156 5.7751428 1.7228149 11.6158750

    6 0.4323276 2.3130608 3.7844827 0.2642369 8.7537384 0.1142369 7.9367808 2.0971904 18.3582563

    7 0.3759370 2.6600199 4.1604197 0.2403604 11.0667992 0.0903604 10.1924030 2.4498497 27.1119947

    8 0.3269018 3.0590229 4.4873215 0.2228501 13.7268191 0.0728501 12.4807154 2.7813286 38.1787939

    9 0.2842624 3.5178763 4.7715839 0.2095740 16.7858419 0.0595740 14.7548147 3.0922258 51.9056130

    10 0.2471847 4.0455577 5.0187686 0.1992521 20.3037182 0.0492521 16.9794771 3.3831958 68.6914549

    11 0.2149432 4.6523914 5.2337118 0.1910690 24.3492760 0.0410690 19.1289093 3.6549412 88.9951732

    12 0.1869072 5.3502501 5.4206190 0.1844808 29.0016674 0.0344808 21.1848880 3.9082046 113.3444491

    13 0.1625280 6.1527876 5.5831470 0.1791105 34.3519175 0.0291105 23.1352235 4.1437604 142.3461165

    14 0.1413287 7.0757058 5.7244756 0.1746885 40.5047051 0.0246885 24.9724960 4.3624076 176.6980340

    15 0.1228945 8.1370616 5.8473701 0.1710171 47.5804109 0.0210171 26.6930188 4.5649614 217.2027391

    16 0.1068648 9.3576209 5.9542349 0.1679477 55.7174725 0.0179477 28.2959903 4.7522463 264.7831499

    17 0.0929259 10.7612640 6.0471608 0.1653669 65.0750934 0.0153669 29.7828045 4.9250889 320.5006224

    18 0.0808051 12.3754536 6.1279659 0.1631863 75.8363574 0.0131863 31.1564916 5.0843122 385.5757158

    19 0.0702653 14.2317716 6.1982312 0.1613364 88.2118110 0.0113364 32.4212673 5.2307289 461.4120732

    20 0.0611003 16.3665374 6.2593315 0.1597615 102.4435826 0.0097615 33.5821726 5.3651373 549.6238841

    21 0.0531307 18.8215180 6.3124622 0.1584168 118.8101200 0.0084168 34.6447862 5.4883159 652.0674668

    22 0.0462006 21.6447457 6.3586627 0.1572658 137.6316380 0.0072658 35.6149985 5.6010202 770.8775868

    23 0.0401744 24.8914576 6.3988372 0.1562784 159.2763837 0.0062784 36.4988359 5.7039795 908.5092248

    24 0.0349343 28.6251762 6.4337714 0.1554298 184.1678413 0.0054298 37.3023244 5.7978939 1067.7856085

    25 0.0303776 32.9189526 6.4641491 0.1546994 212.7930175 0.0046994 38.0313877 5.8834329 1251.9534498

    26 0.0264153 37.8567955 6.4905644 0.1540698 245.7119701 0.0040698 38.6917711 5.9612337 1464.7464672

    27 0.0229699 43.5353148 6.5135343 0.1535265 283.5687656 0.0035265 39.2889874 6.0319000 1710.4584373

    28 0.0199738 50.0656121 6.5335081 0.1530571 327.1040804 0.0030571 39.8282797 6.0960022 1994.0272029

    29 0.0173685 57.5754539 6.5508766 0.1526513 377.1696925 0.0026513 40.3145981 6.1540769 2321.1312834

    30 0.0151031 66.2117720 6.5659796 0.1523002 434.7451464 0.0023002 40.7525867 6.2066270 2698.3009759

    31 0.0131331 76.1435378 6.5791127 0.1519962 500.9569183 0.0019962 41.1465794 6.2541229 3133.0461222

    32 0.0114201 87.5650684 6.5905328 0.1517328 577.1004561 0.0017328 41.5006019 6.2970025 3634.0030406

    33 0.0099305 100.6998287 6.6004633 0.1515045 664.6655245 0.0015045 41.8183780 6.3356731 4211.1034967

    34 0.0086352 115.8048030 6.6090985 0.1513066 765.3653532 0.0013066 42.1033402 6.3705118 4875.7690212

    35 0.0075089 133.1755234 6.6166074 0.1511349 881.1701561 0.0011349 42.3586424 6.4018673 5641.1343743

    36 0.0065295 153.1518519 6.6231369 0.1509859 1014.3456796 0.0009859 42.5871738 6.4300609 6522.3045305

    37 0.0056778 176.1246297 6.6288147 0.1508565 1167.4975315 0.0008565 42.7915745 6.4553886 7536.6502100

    38 0.0049372 202.5433242 6.6337519 0.1507443 1343.6221612 0.0007443 42.9742514 6.4781216 8704.1477416

    39 0.0042932 232.9248228 6.6380451 0.1506468 1546.1654854 0.0006468 43.1373942 6.4985087 10047.7699028

    40 0.0037332 267.8635462 6.6417784 0.1505621 1779.0903082 0.0005621 43.2829907 6.5167773 11593.9353882

    50 0.0009228 1,083.6574416 6.6605147 0.1501385 7217.7162772 0.0001385 44.0958308 6.6204840 47784.7751815

    60 0.0002281 4,383.9987457 6.6651460 0.1500342 29219.9916377 0.0000342 44.3430657 6.6529774 194399.9442514

    70 0.0000564 17,735.7200388 6.6662908 0.1500085 118231.4669255 0.0000085 44.4156263 6.6627196 787743.1128368

    80 0.0000139 71,750.8794014 6.6665738 0.1500021 478332.5293429 0.0000021 44.4363919 6.6655517 3188350.1956191

    90 0.0000034 290,272.3252063 6.6666437 0.1500005 1935142.1680420 0.0000005 44.4422243 6.6663566 12900347.7869468

    100 0.0000009 1174,313.4507003 6.6666610 0.1500001 7828749.6713352 0.0000001 44.4438389 6.6665815 52190997.8089012

    HECHO POR:

    ING. RICARDO ANTONIO MARTINEZ FLORES

    [email protected] 06/04/2015/02:40 p.m.

  • UNIVERSIDAD FRANCISCO GAVIDIA

    FACULTAD DE INGENIERIA Y ARQUITECTURA16 / 18

    TASA DE INTERES COMPUESTO DISCRETO TASA DEL 18.00%

    CALCULO DE FACTORES DE EQUIVALENCIA EN EL TIEMPO

    PER

    IOD

    OS

    VALOR PRESENTE

    PAGO UNICO

    CANTIDAD

    COMPUESTA PAGO

    UNICO

    VALOR PRESENTE

    SERIE UNIFORME

    RECUPERACION

    DE CAPITAL

    CANTIDAD

    COMPUESTA SERIE

    UNIFORME

    FONDO DE

    AMORTIZACION

    GRADIENTE

    UNIFORME A

    VALOR PRESENTE

    GRADIENTE

    UNIFORME A

    SERIE UNIFORME

    GRADIENTE

    UNIFORME A VALOR

    FUTURO

    N P/F F/P P/A A/P F/A A/F P/G A/G F/G

    1 0.8474576 1.1800000 0.8474576 1.1800000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000

    2 0.7181844 1.3924000 1.5656421 0.6387156 2.1800000 0.4587156 0.7181844 0.4587156 1.0000000

    3 0.6086309 1.6430320 2.1742729 0.4599239 3.5724000 0.2799239 1.9354462 0.8901579 3.1800000

    4 0.5157889 1.9387778 2.6900618 0.3717387 5.2154320 0.1917387 3.4828128 1.2946962 6.7524000

    5 0.4371092 2.2877578 3.1271710 0.3197778 7.1542098 0.1397778 5.2312497 1.6728377 11.9678320

    6 0.3704315 2.6995542 3.4976026 0.2859101 9.4419675 0.1059101 7.0834074 2.0252179 19.1220418

    7 0.3139250 3.1854739 3.8115276 0.2623620 12.1415217 0.0823620 8.9669576 2.3525889 28.5640093

    8 0.2660382 3.7588592 4.0775658 0.2452444 15.3269956 0.0652444 10.8292247 2.6558063 40.7055309

    9 0.2254561 4.4354539 4.3030218 0.2323948 19.0858548 0.0523948 12.6328733 2.9358144 56.0325265

    10 0.1910645 5.2338356 4.4940863 0.2225146 23.5213086 0.0425146 14.3524535 3.1936310 75.1183813

    11 0.1619190 6.1759260 4.6560053 0.2147764 28.7551442 0.0347764 15.9716439 3.4303320 98.6396899

    12 0.1372195 7.2875926 4.7932249 0.2086278 34.9310701 0.0286278 17.4810587 3.6470350 127.3948341

    13 0.1162877 8.5993593 4.9095126 0.2036862 42.2186628 0.0236862 18.8765115 3.8448850 162.3259042

    14 0.0985489 10.1472440 5.0080615 0.1996781 50.8180221 0.0196781 20.1576475 4.0250399 204.5445670

    15 0.0835160 11.9737479 5.0915776 0.1964028 60.9652660 0.0164028 21.3268720 4.1886570 255.3625891

    16 0.0707763 14.1290225 5.1623539 0.1937101 72.9390139 0.0137101 22.3885166 4.3368814 316.3278551

    17 0.0599799 16.6722466 5.2223338 0.1914853 87.0680364 0.0114853 23.3481953 4.4708355 389.2668690

    18 0.0508304 19.6732509 5.2731642 0.1896395 103.7402830 0.0096395 24.2123128 4.5916099 476.3349055

    19 0.0430766 23.2144361 5.3162409 0.1881028 123.4135339 0.0081028 24.9876924 4.7002559 580.0751884

    20 0.0365056 27.3930346 5.3527465 0.1868200 146.6279700 0.0068200 25.6812994 4.7977799 703.4887224

    21 0.0309370 32.3237808 5.3836835 0.1857464 174.0210046 0.0057464 26.3000389 4.8851384 850.1166924

    22 0.0262178 38.1420614 5.4099012 0.1848463 206.3447855 0.0048463 26.8506122 4.9632352 1024.1376970

    23 0.0222185 45.0076324 5.4321197 0.1840902 244.4868468 0.0040902 27.3394181 5.0329189 1230.4824825

    24 0.0188292 53.1090063 5.4509489 0.1834543 289.4944793 0.0034543 27.7724897 5.0949826 1474.9693293

    25 0.0159569 62.6686274 5.4669058 0.1829188 342.6034855 0.0029188 28.1554564 5.1501630 1764.4638086

    26 0.0135228 73.9489803 5.4804287 0.1824675 405.2721129 0.0024675 28.4935274 5.1991421 2107.0672941

    27 0.0114600 87.2597968 5.4918887 0.1820867 479.2210933 0.0020867 28.7914882 5.2425476 2512.3394071

    28 0.0097119 102.9665602 5.5016006 0.1817653 566.4808901 0.0017653 29.0537092 5.2809557 2991.5605003

    29 0.0082304 121.5005410 5.5098310 0.1814938 669.4474503 0.0014938 29.2841609 5.3148927 3558.0413904

    30 0.0069749 143.3706384 5.5168060 0.1812643 790.9479913 0.0012643 29.4864338 5.3448380 4227.4888407

    31 0.0059110 169.1773534 5.5227169 0.1810703 934.3186298 0.0010703 29.6637625 5.3712263 5018.4368320

    32 0.0050093 199.6292770 5.5277262 0.1809062 1103.4959831 0.0009062 29.8190504 5.3944514 5952.7554618

    33 0.0042452 235.5625468 5.5319713 0.1807674 1303.1252601 0.0007674 29.9548954 5.4148681 7056.2514449

    34 0.0035976 277.9638052 5.5355689 0.1806499 1538.6878069 0.0006499 30.0736159 5.4327958 8359.3767050

    35 0.0030488 327.9972902 5.5386177 0.1805505 1816.6516121 0.0005505 30.1772753 5.4485210 9898.0645118

    36 0.0025837 387.0368024 5.5412015 0.1804663 2144.6489023 0.0004663 30.2677059 5.4623002 11714.7161240

    37 0.0021896 456.7034269 5.5433911 0.1803950 2531.6857047 0.0003950 30.3465317 5.4743624 13859.3650263

    38 0.0018556 538.9100437 5.5452467 0.1803346 2988.3891316 0.0003346 30.4151888 5.4849118 16391.0507310

    39 0.0015725 635.9138515 5.5468192 0.1802835 3527.2991753 0.0002835 30.4749453 5.4941299 19379.4398626

    40 0.0013327 750.3783448 5.5481519 0.1802402 4163.2130268 0.0002402 30.5269191 5.5021780 22906.7390379

    50 0.0002546 3,927.3568600 5.5541410 0.1800458 21813.0936664 0.0000458 30.7856098 5.5428211 120906.0759246

    60 0.0000486 20,555.1399661 5.5552853 0.1800088 114189.6664783 0.0000088 30.8464795 5.5526364 634053.7026574

    70 0.0000093 107,582.2223679 5.5555039 0.1800017 597673.4575993 0.0000017 30.8602958 5.5549049 3320019.2088850

    80 0.0000018 563,067.6603856 5.5555457 0.1800003 3128148.1132536 0.0000003 30.8633534 5.5554135 17378156.1847421

    90 0.0000003 2947,003.5401206 5.5555537 0.1800001 16372236.3340031 0.0000001 30.8640174 5.5555250 90956368.5222394

    100 0.0000001 15424,131.9054532 5.5555552 0.1800000 85689616.1414068 0.0000000 30.8641595 5.555549