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IE-541-FIQH-E02E.01 Principal Tasa de Interés de Trimestre eriodo de Capitalizació $1,000.00 1.500% 4 3 Año 1 1 Semestre 2 2 Trimestre 3 4 Bimestre 4 6 Mes 5 12 Quincena 6 24 Semana 7 52 Diario 8 365 Pago Unico Final Num.Pagos Totales 40 $1,814.02 Final del Trimestre 0 1 15 1015 2 15.225 1030.225 3 15.453375 1045.678375 4 15.685175625 1061.363550625 Interés a pagar por Trimestre Total a pagar al final del Trimestre Pago unico al Final Pagos uniformes

Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

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Page 1: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

IE-541-FIQH-E02E.01

Principal Tasa de Interés de Trimestre Periodo de Capitalización

$1,000.00 1.500% 4

3Año 1 1

Semestre 2 2Trimestre 3 4Bimestre 4 6

Mes 5 12Quincena 6 24Semana 7 52Diario 8 365

Pago Unico FinalNum.Pagos Totales 40 $1,814.02

Final del Trimestre

01 15 10152 15.225 1030.2253 15.453375 1045.6783754 15.685175625 1061.363550625

Interés a pagar por Trimestre

Total a pagar al final del Trimestre

Pago unico al Final Pagos uniformes

Page 2: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

5 15.920453259375 1077.284003884386 16.1592600582656 1093.443263942647 16.4016489591396 1109.844912901788 16.6476736935267 1126.492586595319 16.8973887989296 1143.38997539424

10 17.1508496309135 1160.5408250251511 17.4081123753773 1177.9489374005312 17.6692340610079 1195.6181714615413 17.934272571923 1213.5524440334614 18.2032866605019 1231.7557306939615 18.4763359604094 1250.2320666543716 18.7534809998155 1268.9855476541917 19.0347832148128 1288.02033086918 19.320304963035 1307.3406358320319 19.6101095374805 1326.9507453695120 19.9042611805427 1346.8550065500621 20.2028250982508 1367.0578316483122 20.5058674747246 1387.5636991230323 20.8134554868455 1408.3771546098824 21.1256573191482 1429.5028119290325 21.4425421789354 1450.9453541079626 21.7641803116194 1472.7095344195827 22.0906430162937 1494.8001774358728 22.4220026615381 1517.2221800974129 22.7583327014612 1539.9805127988730 23.0997076919831 1563.0802204908631 23.4462033073628 1586.5264237982232 23.7978963569733 1610.3243201551933 24.1548648023279 1634.4791849575234 24.5171877743628 1658.9963727318835 24.8849455909782 1683.8813183228636 25.2582197748429 1709.139538097737 25.6370930714656 1734.7766311691738 26.0216494675375 1760.7982806367139 26.4119742095506 1787.2102548462640 26.8081538226939 1814.01840866895

i n

$1,000.00 1.50% 40

$1,000.00 6.14% 10

VALOR DADO

Page 3: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

Núm de Pagos Unidad

4 Trimestre

Num. de Pagos Unidad

4 Trimestre

6.0000% 6.136%

10000 10150 1030.2250 1045.6783750 1061.363550625

Intesres NominalAnual

Interes EfectivaAnual(CAT)

Pago de final del Trimestre

Total a pagardespues del pago

Page 4: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

0 1077.284003884380 1093.443263942640 1109.844912901780 1126.492586595310 1143.389975394240 1160.540825025150 1177.948937400530 1195.618171461540 1213.552444033460 1231.755730693960 1250.232066654370 1268.985547654190 1288.0203308690 1307.340635832030 1326.950745369510 1346.855006550060 1367.057831648310 1387.563699123030 1408.377154609880 1429.502811929030 1450.945354107960 1472.709534419580 1494.800177435870 1517.222180097410 1539.980512798870 1563.080220490860 1586.526423798220 1610.324320155190 1634.479184957520 1658.996372731880 1683.881318322860 1709.13953809770 1734.776631169170 1760.798280636710 1787.21025484626

1814.01840866895 0

Encontrar Dado NOTACIÓN FACTOR

F P ( F | P, 1.5%, 40 ) 1.8140 $1,814.02

F P ( F | P, 6.1%, 10 ) 1.8140 $1,814.02

VALOR A ENCONTRAR

Page 5: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

IE-541-FIQH-E02E.02

Principal Tasa de Interés de Trimestre Periodo de Capitalización

$1,000.00 3.00% 4

3Año 1 1

Semestre 2 2Trimestre 3 4Bimestre 4 6

Mes 5 12Quincena 6 24Semana 7 52Diario 8 365

Pago Unico FinalNum.Pagos Totales 40 $3,262.04

Final del Trimestre

01 30 10302 30.9 1060.93 31.827 1092.7274 32.78181 1125.508815 33.7652643 1159.27407436 34.778222229 1194.0522965297 35.82156889587 1229.873865424878 36.8962159627461 1266.770081387629 38.0031024416285 1304.77318382924

10 39.1431955148773 1343.9163793441211 40.3174913803237 1384.2338707244512 41.5270161217334 1425.7608868461813 42.7728266053854 1468.5337134515614 44.0560114035469 1512.58972485511

Interés a pagar por Trimestre

Total a pagar al final del Trimestre

Pago unico al Final Pagos uniformes

Page 6: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

15 45.3776917456533 1557.9674166007616 46.7390224980229 1604.7064390987917 48.1411931729636 1652.8476322717518 49.5854289681525 1702.433061239919 51.0729918371971 1753.506053077120 52.605181592313 1806.1112346694121 54.1833370400824 1860.294571709522 55.8088371512849 1916.1034088607823 57.4831022658234 1973.586511126624 59.2075953337981 2032.794106460425 60.9838231938121 2093.7779296542126 62.8133378896264 2156.5912675438427 64.6977380263152 2221.2890055701628 66.6386701671047 2287.9276757372629 68.6378302721178 2356.5655060093830 70.6969651802813 2427.2624711896631 72.8178741356898 2500.0803453253532 75.0024103597605 2575.0827556851133 77.2524826705533 2652.3352383556634 79.5700571506699 2731.9052955063335 81.95715886519 2813.8624543715236 84.4158736311457 2898.2783280026737 86.9483498400801 2985.2266778427538 89.5568003352825 3074.7834781780339 92.2435043453409 3167.0269825233740 95.0108094757012 3262.03779199907

i n

$1,000.00 3.00% 40

$1,000.00 12.55% 10

VALOR DADO

Page 7: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

Núm de Pagos Unidad

4 Trimestre

Num. de Pagos Unidad

4 Trimestre

12.0000% 12.551%

10000 10300 1060.90 1092.7270 1125.508810 1159.27407430 1194.0522965290 1229.873865424870 1266.770081387620 1304.773183829240 1343.916379344120 1384.233870724450 1425.760886846180 1468.533713451560 1512.58972485511

Intesres NominalAnual

Interes EfectivaAnual(CAT)

Pago de final del Trimestre

Total a pagardespues del pago

Page 8: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

0 1557.967416600760 1604.706439098790 1652.847632271750 1702.43306123990 1753.50605307710 1806.111234669410 1860.29457170950 1916.103408860780 1973.58651112660 2032.79410646040 2093.777929654210 2156.591267543840 2221.289005570160 2287.927675737260 2356.565506009380 2427.262471189660 2500.080345325350 2575.082755685110 2652.335238355660 2731.905295506330 2813.862454371520 2898.278328002670 2985.226677842750 3074.783478178030 3167.02698252337

3262.03779199907 0

Encontrar Dado NOTACIÓN FACTOR

F P ( F | P, 3%, 40 ) 3.2620 $3,262.04

F P ( F | P, 12.6%, 10 ) 3.2620 $3,262.04

VALOR A ENCONTRAR

Page 9: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

IE-541-FIQH-E02E.03(a)

Principal Tasa de Interés de Semana Periodo de Capitalización

$1,000.00 2.25% 52

7Año 1 1

Semestre 2 2Trimestre 3 4Bimestre 4 6

Mes 5 12Quincena 6 24Semana 7 52Diario 8 365

Abonos SemanaNum.Pagos Totales 104 $25.00

Final del Semana

01 22.54 1022.542 22.4845157471881 1020.022925116673 22.4277808793177 1017.449115365464 22.3697672075256 1014.817291942475 22.3104459075713 1012.126147219526 22.249787505516 1009.374344094517 22.1877618630784 1006.560515327078 22.1243381626603 1003.683262859219 22.0594848920347 1000.74115712073

10 21.9931698286892 997.73273631889411 21.9253600238159 994.65650571218912 21.8560217859408 991.51093686760913 21.785120664184 988.29446690127214 21.7126214311427 985.005497701894

Interés a pagar por Semana

Total a pagar al final del Semana

Pago unico al Final Pagos uniformes

Page 10: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

15 21.6384880653888 981.64239513676216 21.5626837335707 978.20348823981217 21.4851707721134 974.68706838140518 21.4059106685049 971.09138841938919 21.3248640421611 967.41466183102920 21.2419906248595 963.65506182536821 21.1572492407319 959.81072043557922 21.070597785806 955.87972759086423 20.9819932070861 951.86013016742924 20.8913914811619 947.74993101807125 20.7987475923354 943.54708797988526 20.7040155102547 939.24951285961927 20.6071481670439 934.85507039614228 20.5080974339171 930.36157719953829 20.4068140972657 925.76680066628330 20.3032478342061 921.06845786996831 20.1973471875771 916.26421442702532 20.0890595403732 911.35168333687733 19.9783310896013 906.32842379595834 19.865106819549 901.19193998498635 19.7493304744496 895.93967982891536 19.6309445305318 890.56903372892637 19.509890167438 885.07733326584338 19.3861072390002 879.46184987432239 19.2595342433553 873.71979348715740 19.1301082923886 867.84831114902441 18.9977650804871 861.84448559899142 18.8624388525893 855.70533382105943 18.7240623715147 849.42780556205344 18.5825668845567 843.00878181608945 18.4378820893227 836.44507327489146 18.2899360988041 829.73341874317447 18.1386554056592 822.87048351831248 17.9839648456908 815.85285773348249 17.8257875605008 808.67705466346250 17.6640449593025 801.33950899224451 17.4986566798732 793.83657504159752 17.3295405486256 786.16452495970153 17.1566125397797 778.3195468689654 16.9797867336144 770.29774297205455 16.7989752737782 762.09512761531156 16.6140883236372 753.70762530842857 16.42503402164 745.13106869954758 16.2317184356758 736.36119650470259 16.034045516404 727.393651390585

Page 11: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

60 15.8319170495319 718.22397780959661 15.6252326070164 708.84761978609262 15.4138894971666 699.25991865273863 15.1977827136208 689.45611073583864 14.9768048831738 679.43132498849165 14.7508462124286 669.18058057039866 14.5197944332448 658.69878437312267 14.2835347469582 647.9807284895668 14.0419497673427 637.02108762638269 13.7949194622867 625.81441645814870 13.5423210941547 614.35514692178271 13.284029158805 602.63758545006672 13.0199153232325 590.65591014277773 12.7498483618063 578.40416787406374 12.4736940910694 565.87627133461275 12.1913153030702 553.06599600716176 11.9025716971895 539.9669770738377 11.6073198104322 526.57270625374178 11.3054129461474 512.87652856936879 10.9967011011416 498.87163903998880 10.6810308911494 484.55107930061781 10.358245474624 469.9077341447282 10.0281844748101 454.93432798900983 9.69068390006034 439.62342125854984 9.34557606235576 423.96740669038485 8.99268949398932 407.95850555385386 8.6318488623719 391.58876378570487 8.26287488291782 374.85004803810188 7.88558422996685 357.73404163754789 7.49978944569837 340.23224045272490 7.10529884699247 322.33594866919691 6.70191643019174 304.036274468867

i n

$1,000.00 2.25% 104

$1,000.00 218.70% 2

VALOR DADO

Page 12: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

Núm de Pagos Unidad

52 Semana

Num. de Pagos Unidad

52 Semana

117.2080% 218.695%

100025.0015906305208 997.53840936947925.0015906305208 995.02133448614625.0015906305208 992.44752473494325.0015906305208 989.81570131194825.0015906305208 987.12455658899925.0015906305208 984.37275346399425.0015906305208 981.55892469655225.0015906305208 978.68167222869125.0015906305208 975.73956649020525.0015906305208 972.73114568837325.0015906305208 969.65491508166825.0015906305208 966.50934623708825.0015906305208 963.29287627075225.0015906305208 960.003907071374

Intesres NominalAnual

Interes EfectivaAnual(CAT)

Pago de final del Semana

Total a pagardespues del pago

Page 13: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

25.0015906305208 956.64080450624225.0015906305208 953.20189760929125.0015906305208 949.68547775088425.0015906305208 946.08979778886825.0015906305208 942.41307120050825.0015906305208 938.65347119484725.0015906305208 934.80912980505825.0015906305208 930.87813696034325.0015906305208 926.85853953690925.0015906305208 922.7483403875525.0015906305208 918.54549734936425.0015906305208 914.24792222909825.0015906305208 909.85347976562125.0015906305208 905.35998656901825.0015906305208 900.76521003576225.0015906305208 896.06686723944825.0015906305208 891.26262379650425.0015906305208 886.35009270635625.0015906305208 881.32683316543725.0015906305208 876.19034935446525.0015906305208 870.93808919839425.0015906305208 865.56744309840525.0015906305208 860.07574263532225.0015906305208 854.46025924380125.0015906305208 848.71820285663625.0015906305208 842.84672051850425.0015906305208 836.8428949684725.0015906305208 830.70374319053825.0015906305208 824.42621493153225.0015906305208 818.00719118556825.0015906305208 811.4434826443725.0015906305208 804.73182811265325.0015906305208 797.86889288779225.0015906305208 790.85126710296225.0015906305208 783.67546403294225.0015906305208 776.33791836172325.0015906305208 768.83498441107625.0015906305208 761.16293432918125.0015906305208 753.3179562384425.0015906305208 745.29615234153325.0015906305208 737.09353698479125.0015906305208 728.70603467790725.0015906305208 720.12947806902625.0015906305208 711.35960587418125.0015906305208 702.392060760064

Page 14: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

25.0015906305208 693.22238717907525.0015906305208 683.84602915557125.0015906305208 674.25832802221725.0015906305208 664.45452010531725.0015906305208 654.4297343579725.0015906305208 644.17898993987825.0015906305208 633.69719374260225.0015906305208 622.97913785903925.0015906305208 612.01949699586125.0015906305208 600.81282582762725.0015906305208 589.35355629126125.0015906305208 577.63599481954525.0015906305208 565.65431951225725.0015906305208 553.40257724354225.0015906305208 540.87468070409125.0015906305208 528.0644053766425.0015906305208 514.96538644330925.0015906305208 501.5711156232225.0015906305208 487.87493793884725.0015906305208 473.87004840946825.0015906305208 459.54948867009625.0015906305208 444.90614351419925.0015906305208 429.93273735848925.0015906305208 414.62183062802825.0015906305208 398.96581605986325.0015906305208 382.95691492333225.0015906305208 366.58717315518325.0015906305208 349.8484574075825.0015906305208 332.73245100702625.0015906305208 315.23064982220425.0015906305208 297.33435803867525.0015906305208 279.034683838346

Encontrar Dado NOTACIÓN FACTOR

F P ( F | P, 2.3%, 104 ) 10.1567 $10,156.68

F P ( F | P, 218.7%, 2 ) 10.1567 $10,156.68

VALOR A ENCONTRAR

Page 15: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

IE-541-FIQH-E02E.03(b)

Principal Tasa de Interés de Semana Periodo de Capitalización

$1,000.00 2.25% 52

7Año 1 1

Semestre 2 2Trimestre 3 4Bimestre 4 6

Mes 5 12Quincena 6 24Semana 7 52Diario 8 365

Pago Unico FinalNum.Pagos Totales 104 $0.00

Final del Semana

01 22.54 1022.542 23.0480516 1045.58805163 23.567554683064 1069.155606283064 24.0987673656203 1093.254373648685 24.6419535820413 1117.896327230736 25.1973832157806 1143.093710446517 25.7653322334643 1168.859042679978 26.3460828220065 1195.205125501989 26.9399235288146 1222.14504903079

10 27.547149405154 1249.6921984359511 28.1680621527462 1277.8602605886912 28.8029702736691 1306.66323086236

Interés a pagar por Semana

Total a pagar al final del Semana

Pago unico al Final Pagos uniformes

Page 16: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

13 29.4521892236376 1336.11542008614 30.1160415687384 1366.2314616547415 30.7948571456978 1397.0263188004316 31.4889732257618 1428.515292026217 32.1987346822705 1460.7140267084718 32.9244941620088 1493.6385208704819 33.6666122604205 1527.305133130920 34.4254577007704 1561.7305908316721 35.2014075173458 1596.9319983490122 35.9948472427867 1632.926845591823 36.8061710996392 1669.7330166914424 37.635782196225 1707.3687988876625 38.4840927269279 1745.8528916145926 39.3515241769929 1785.2044157915827 40.2385075319423 1825.4429233235328 41.1454834917123 1866.5884068152429 42.0729026896155 1908.6613095048530 43.0212259162394 1951.6825354210931 43.9909243483915 1995.6734597694932 44.9824797832042 2040.6559395526933 45.9963848775176 2086.6523244302134 47.0331433926569 2133.6854678228635 48.0932704447274 2181.7787382675936 49.1772927605515 2230.9560310281437 50.2857489393743 2281.2417799675238 51.4191897204678 2332.6609696879839 52.5781782567672 2385.2391479447540 53.7632903946747 2439.0024383394341 54.9751149601707 2493.977553299642 56.2142540513729 2550.1918073509743 57.4813233376909 2607.6731306886644 58.7769523657224 2666.4500830543845 60.1017848720458 2726.5518679264346 61.4564791030617 2788.0083470294947 62.8417081420447 2850.8500551715448 64.2581602435664 2915.108215415149 65.7065391754564 2980.8147545905650 67.1875645684712 3048.0023191590351 68.7019722738445 3116.7042914328752 70.250514728897 3186.9548061617753 71.8339613308863 3258.7887674926654 73.4530988192845 3332.2418663119455 75.1087316666712 3407.3505979786156 76.8016824784379 3484.1522804570557 78.5327924015019 3562.68507285855

Page 17: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

58 80.3029215422318 3642.9879944007959 82.1129493937937 3725.1009437945860 83.9637752731298 3809.0647190677161 85.8563187677862 3894.9210378354962 87.791520192812 3982.7125580283163 89.770341057958 4072.4828990862664 91.7937645454044 4164.2766636316765 93.8627959982578 4258.1394596299366 95.9784634200585 4354.1179230499967 98.1418179855467 4452.2597410355368 100.353934562941 4552.6136755984769 102.61591224799 4655.2295878464670 104.928874910059 4760.1584627565271 107.293971750532 4867.4524345070572 109.712377873789 4977.1648123808473 112.185294871064 5089.3501072519174 114.713951417458 5204.0640586693675 117.299603882407 5321.3636625517776 119.943536953917 5441.3071995056977 122.647064276858 5563.9542637825578 125.411529105659 5689.3657928882179 128.2383049717 5817.6040978599180 131.128796365762 5948.7328942256781 134.084439435847 6082.8173336615182 137.106702700731 6219.9240363622483 140.197087779605 6360.1211241418584 143.357130138157 6503.4782542800185 146.588399851471 6650.0666541314886 149.892502384124 6799.959156515687 153.271079387862 6953.2302359034688 156.725809517264 7109.9560454207389 160.258409263783 7270.2144546845190 163.870633808589 7434.085088493191 167.564277894634 7601.64936638773

i n

$1,000.00 2.25% 104

$1,000.00 218.70% 2

VALOR DADO

Page 18: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

Núm de Pagos Unidad

52 Semana

Num. de Pagos Unidad

52 Semana

117.2080% 218.695%

10000 1022.540 1045.58805160 1069.155606283060 1093.254373648680 1117.896327230730 1143.093710446510 1168.859042679970 1195.205125501980 1222.145049030790 1249.692198435950 1277.860260588690 1306.66323086236

Intesres NominalAnual

Interes EfectivaAnual(CAT)

Pago de final del Semana

Total a pagardespues del pago

Page 19: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

0 1336.1154200860 1366.231461654740 1397.026318800430 1428.51529202620 1460.714026708470 1493.638520870480 1527.30513313090 1561.730590831670 1596.931998349010 1632.92684559180 1669.733016691440 1707.368798887660 1745.852891614590 1785.204415791580 1825.442923323530 1866.588406815240 1908.661309504850 1951.682535421090 1995.673459769490 2040.655939552690 2086.652324430210 2133.685467822860 2181.778738267590 2230.956031028140 2281.241779967520 2332.660969687980 2385.239147944750 2439.002438339430 2493.97755329960 2550.191807350970 2607.673130688660 2666.450083054380 2726.551867926430 2788.008347029490 2850.850055171540 2915.10821541510 2980.814754590560 3048.002319159030 3116.704291432870 3186.954806161770 3258.788767492660 3332.241866311940 3407.350597978610 3484.152280457050 3562.68507285855

Page 20: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

0 3642.987994400790 3725.100943794580 3809.064719067710 3894.921037835490 3982.712558028310 4072.482899086260 4164.276663631670 4258.139459629930 4354.117923049990 4452.259741035530 4552.613675598470 4655.229587846460 4760.158462756520 4867.452434507050 4977.164812380840 5089.350107251910 5204.064058669360 5321.363662551770 5441.307199505690 5563.954263782550 5689.365792888210 5817.604097859910 5948.732894225670 6082.817333661510 6219.924036362240 6360.121124141850 6503.478254280010 6650.066654131480 6799.95915651560 6953.230235903460 7109.956045420730 7270.214454684510 7434.08508849310 7601.64936638773

Encontrar Dado NOTACIÓN FACTOR

F P ( F | P, 2.3%, 104 ) 10.1567 $10,156.68

F P ( F | P, 218.7%, 2 ) 10.1567 $10,156.68

VALOR A ENCONTRAR

Page 21: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

IE-541-FIQH-E02E.04

Principal Tasa de Interés de Quincena Periodo de Capitalización

$143,900.00 0.966950% 24

6Año 1 1

Semestre 2 2Trimestre 3 4Bimestre 4 6

Mes 5 12Quincena 6 24Semana 7 52Diario 8 365

Abonos QuincenaNum.Pagos Totales 84 $2,509.81

Final del Quincena

01 1391.44105 145291.441052 1380.62699003744 144162.2589293763 1369.70836352207 143022.1581822374 1358.6841593476 141871.0332309245 1347.55335663088 140708.7774768936 1336.31492461728 139535.283290857 1324.96782258533 138350.4420027748 1313.51099975028 137154.1438918639 1301.94339516683 135946.278176369

10 1290.26393763086 134726.73300333811 1278.47154558024 133495.395438257

Interés a pagar por Quincena

Total a pagar al final del Quincena

Pago unico al Final Pagos uniformes

Page 22: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

12 1266.56512699469 132252.15145459113 1254.54357929463 130996.88592322414 1242.40578923908 129729.48260180215 1230.15063282259 128449.82412396416 1217.77697517113 127157.79198847417 1205.28367043701 125853.2665482518 1192.66956169276 124536.12699928119 1179.93348082401 123206.25136944420 1167.0742484213 121863.51650720421 1154.09067367087 120507.79807021422 1140.98155424439 119138.97051379723 1127.74567618762 117756.90707932424 1114.38181380798 116361.4797824725 1100.88872956106 114952.5594013726 1087.26517393601 113530.01546464527 1073.50988533985 112093.71623932428 1059.6215899806 110643.52871864329 1045.59900174938 109179.31860973230 1031.44082210126 107700.95032117231 1017.14573993503 106208.28695044632 1002.71243147179 104701.19027125633 988.139560132373 103179.52072072734 973.425776413535 101643.1373864835 958.569717763028 100091.89799358236 943.5700084534 98525.658891373937 928.425259454602 96944.275040167338 913.13406830536 95347.599997811539 897.6950189833 93735.485906133740 882.106681773822 92107.783477246341 866.367613137695 90464.341979722942 850.476355577392 88805.009224639143 834.43143750211 87129.631551480144 818.231373091499 85438.053813910445 801.874662158069 83730.119365407346 785.359790008268 82005.670044754547 768.685227302215 80264.546161395548 751.849429912076 78506.586480646449 734.850838779073 76731.628208764450 717.687879769109 74939.506977872351 700.358963526998 73130.056830738252 682.862485329285 71303.110205406353 665.196824935638 69458.497919680854 647.360346438815 67596.049155458455 629.351398113167 65715.591442910556 611.168312261685 63816.950644511

Page 23: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

57 592.809405061561 61899.950938911458 574.272976408266 59964.414804658559 555.557309758107 58010.163003755560 536.660671969275 56037.014565063661 517.581313141344 54044.786767543862 498.317466453227 52033.295123335963 478.867347999558 50002.353360674364 459.229156625502 47951.773406638665 439.401073759954 45881.365369737466 419.381263247138 43790.937522323467 399.167871176568 41680.296282838868 378.759025711372 39549.24619788969 358.15283691495 37397.589924142870 337.347396575961 35225.128210057671 316.340778031614 33031.659877428172 295.131035989253 30816.981802756273 273.716206346213 28580.888898441374 252.09430600794 26323.17409378875 230.263332704345 24043.628315831276 208.221264804392 21742.040469974577 185.96606112888 19418.197420442278 163.495660761428 17071.883970542579 140.807982857623 14702.88284273980 117.900926452326 12310.974658530181 94.7723702651192 9895.9379181341182 71.4201725038598 7457.5489799768283 47.8421706663478 4995.5820399820184 24.0361813400681 2509.80911066093

i n

$143,900.00 0.967% 84

$143,900.00 25.980% 3.5

VALOR DADO

Page 24: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

Núm de Pagos Unidad

24 Quincenaa) 0.966950%

Num. de Pagos Unidad b) 23.2068%c) $2,509.81d) $322,936.20

24 Quincena

23.2068% 25.980%

1439002509.80911066115 142781.6319393392509.80911066115 141652.4498187152509.80911066115 140512.3490715762509.80911066115 139361.2241202632509.80911066115 138198.9683662322509.80911066115 137025.4741801882509.80911066115 135840.6328921132509.80911066115 134644.3347812022509.80911066115 133436.4690657072509.80911066115 132216.9238926772509.80911066115 130985.586327596

Intesres NominalAnual

Interes EfectivaAnual(CAT)

Pago de final del Quincena

Total a pagardespues del pago

Page 25: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

2509.80911066115 129742.342343932509.80911066115 128487.0768125632509.80911066115 127219.6734911412509.80911066115 125940.0150133032509.80911066115 124647.9828778132509.80911066115 123343.4574375882509.80911066115 122026.317888622509.80911066115 120696.4422587832509.80911066115 119353.7073965432509.80911066115 117997.9889595532509.80911066115 116629.1614031362509.80911066115 115247.0979686622509.80911066115 113851.6706718092509.80911066115 112442.7502907092509.80911066115 111020.2063539842509.80911066115 109583.9071286632509.80911066115 108133.7196079822509.80911066115 106669.509499072509.80911066115 105191.141210512509.80911066115 103698.4778397842509.80911066115 102191.3811605952509.80911066115 100669.7116100662509.80911066115 99133.32827581862509.80911066115 97582.08888292052509.80911066115 96015.84978071272509.80911066115 94434.46592950622509.80911066115 92837.79088715042509.80911066115 91225.67679547252509.80911066115 89597.97436658522509.80911066115 87954.53286906172509.80911066115 86295.2001139782509.80911066115 84619.82244081892509.80911066115 82928.24470324932509.80911066115 81220.31025474622509.80911066115 79495.86093409332509.80911066115 77754.73705073442509.80911066115 75996.77736998532509.80911066115 74221.81909810322509.80911066115 72429.69786721122509.80911066115 70620.2477200772509.80911066115 68793.30109474512509.80911066115 66948.68880901962509.80911066115 65086.24004479732509.80911066115 63205.78233224932509.80911066115 61307.1415338498

Page 26: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

2509.80911066115 59390.14182825022509.80911066115 57454.60569399742509.80911066115 55500.35389309432509.80911066115 53527.20545440242509.80911066115 51534.97765688262509.80911066115 49523.48601267472509.80911066115 47492.54425001312509.80911066115 45441.96429597742509.80911066115 43371.55625907622509.80911066115 41281.12841166222509.80911066115 39170.48717217762509.80911066115 37039.43708722792509.80911066115 34887.78081348172509.80911066115 32715.31909939652509.80911066115 30521.85076676692509.80911066115 28307.1726920952509.80911066115 26071.07978778012509.80911066115 23813.36498312692509.80911066115 21533.81920517012509.80911066115 19232.23135931332509.80911066115 16908.38830978112509.80911066115 14562.07485988132509.80911066115 12193.07373207782509.80911066115 9801.165547868992509.80911066115 7386.128807472962509.80911066115 4947.739869315672509.80911066115 2485.772929320862509.80911066093 0

Encontrar Dado NOTACIÓN FACTOR

F P ( F | P, 1%, 84 ) 2.2442 $322,936.20

F P ( F | P, 26%, 3.5 ) 2.2442 $322,936.20

VALOR A ENCONTRAR

Page 27: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

IE-541-FIQH-E02E.05

Principal Tasa de Interés de Mes Periodo de Capitalización

$200,000.00 1.250000% 12

5Año 1 1

Semestre 2 2Trimestre 3 4Bimestre 4 6

Mes 5 12Quincena 6 24Semana 7 52Diario 8 365

Pago unico al Final Pagos uniformes

Page 28: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

Abonos MesNum.Pagos Totales 12 $18,051.66

Final del Mes

01 2500 2025002 2305.60421913711 186753.9417501063 2108.77849101343 170811.0577720884 1909.4924412882 154668.8877443445 1707.71531594141 138324.9405912546 1503.41597652779 121776.6940987517 1296.56289537149 105021.5945250918 1087.12415070074 88057.056206769 875.067421721607 70880.4611594502

10 660.359983630234 53489.15867404911 442.968702562719 35880.464907580212 222.86003048186 18051.6624690306

i n

$200,000.00

-$5,000.00 16.075% 5

$183,657.31 1.250% 60

i n

$200,000.00 16.075% 3

-$5,000.00 16.075% 3

-$4,369.19 1.250% 36

i n$98,129.82-$5,000.00 60.10% 2

$93,056.23 4.00% 24

Interés a pagar por Mes

Total a pagar al final del Mes

VALOR DADO

VALOR DADO

VALOR DADO

Pago unico al Final Pagos uniformes

Page 29: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

Núm de Pagos Unidad

12 Mes

Num. de Pagos Unidad

12 Mes

Page 30: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

15.0000% 16.075%

Pago de final del Mes

20000018051.6624690315 184448.33753096918051.6624690315 168702.27928107418051.6624690315 152759.39530305618051.6624690315 136617.22527531318051.6624690315 120273.27812222318051.6624690315 103725.03162971918051.6624690315 86969.932056059318051.6624690315 70005.393737728618051.6624690315 52828.798690418718051.6624690315 35437.496205017518051.6624690315 17828.802438548818051.6624690306 0

Encontrar Dado NOTACIÓN FACTOR

1.0000 $200,000.00

P A ( P | A, 16.1%, 5 ) 3.2685 -$16,342.69

$183,657.31

A P ( A | P, 1.3%, 60 ) 0.0238 $4,369.19

Encontrar Dado NOTACIÓN FACTOR

F P ( F | P, 16.1%, 3 ) 1.5639 $312,788.76

F A ( F | A, 16.1%, 3 ) 3.5081 -$17,540.53

F A ( F | A, 1.3%, 36 ) 45.1155 -$197,118.42

$98,129.82

Encontrar Dado NOTACIÓN FACTOR1.0000 $98,129.82

P A ( P | A, 60.1%, 2 ) 1.0147 -$5,073.59

A P ( A | P, 4%, 24 ) 0.0656 $6,103.26

Intesres NominalAnual

Interes EfectivaAnual(CAT)

Total a pagardespues del pago

VALOR A ENCONTRAR

VALOR A ENCONTRAR

VALOR A ENCONTRAR

Page 31: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

$4,369.19

$98,129.82

$6,103.26

Page 32: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

Principal Tasa de Interés de Mes Periodo de Capitalización

$200,000.00 4.000000% 12

5Año 1 1

Semestre 2 2Trimestre 3 4Bimestre 4 6

Mes 5 12Quincena 6 24Semana 7 52Diario 8 365

Pago unico al Final Pagos uniformes

Page 33: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

Abonos MesNum.Pagos Totales 12 $21,310.43

Final del Mes

01 8000 2080002 7467.58261851155 194157.14808133 6913.86854176356 179760.5820858534 6338.00590194565 164788.1534505875 5739.10875653502 149216.8276699116 5116.25572530797 133022.6488580077 4468.48857283184 116180.7028936288 3794.81073425666 98665.07909067319 3094.18578213847 80448.8303356002

10 2365.53583193556 61503.931630324511 1607.73988372453 41801.236976837712 819.632097585057 21310.4345372115

i n

$98,129.82

-$5,000.00 60.103% 2

$93,056.23 4.000% 24

Interés a pagar por Mes

Total a pagar al final del Mes

VALOR DADO

Pago unico al Final Pagos uniformes

Page 34: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

Núm de Pagos Unidad

12 Mes

Num. de Pagos Unidad

12 Mes

Page 35: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

48.0000% 60.103%

Pago de final del Mes

20000021310.4345372113 186689.56546278921310.4345372113 172846.71354408921310.4345372113 158450.14754864121310.4345372113 143477.71891337621310.4345372113 127906.39313269921310.4345372113 111712.21432079621310.4345372113 94870.268356416421310.4345372113 77354.644553461821310.4345372113 59138.395798388921310.4345372113 40193.497093113221310.4345372113 20490.802439626421310.4345372115 0

Encontrar Dado NOTACIÓN FACTOR

1.0000 $98,129.82

P A ( P | A, 60.1%, 2 ) 1.0147 -$5,073.59

$93,056.23

A P ( A | P, 4%, 24 ) 0.0656 $6,103.26

Intesres NominalAnual

Interes EfectivaAnual(CAT)

Total a pagardespues del pago

VALOR A ENCONTRAR

Page 36: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

$6,103.26

Page 37: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

IE-541-FIQH-E02E.TASA NOMINAL Y EFECTIVA (CAT)

Principal Tasa de Interés de Mes Periodo de Capitalización

5Año 1 1

Semestre 2 2Trimestre 3 4Bimestre 4 6

Mes 5 12Quincena 6 24Semana 7 52Diario 8 365

Abonos MesNum.Pagos Totales 12

Final del Mes

0

i n

Interés a pagar por Mes

Total a pagar al final del Mes

VALOR DADO

Pago unico al Final Pagos uniformes

Page 38: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)
Page 39: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)

Núm de Pagos Unidad

Mes

Num. de Pagos Unidad

12 Mes

Pago de final del Mes

Encontrar Dado NOTACIÓN FACTOR

Intesres NominalAnual

Interes EfectivaAnual(CAT)

Total a pagardespues del pago

VALOR A ENCONTRAR

Page 40: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)
Page 41: Ie 541 Fiqh u02e.tasa Nominal y Efectiva(Ejercicios)