Una empresa adquiere una propiedad por un valor de $ 1.200.000 mediante el sistema de amortizacin gradual. Hipoteca dicha propiedad a una institucin financiera, a 25 aos de plazo, pagaderos en cuotas mensuales iguales, a una tasa de inters del 12% anual capitalizable mensualmente. Calcule: a) el valor de la cuota mensual; b) los derechos del acreedor; c) los derechos del deudor, ambos luego de haber pagado la cuota 200.

P = 1200000 cuota R = n (aos) = 25 300 cuotasi% = 12% anual mensual 0.01

Perodo

Capital insoluto Inters vencido al Cuota o pago al principio del final del perodo perodo

1 1200000 12000 12638.692 1199361.31 11993.61 12638.693 1198716.23 11987.16 12638.694 1198064.71 11980.65 12638.695 1197406.66 11974.07 12638.696 1196742.04 11967.42 12638.697 1196070.77 11960.71 12638.698 1195392.79 11953.93 12638.699 1194708.03 11947.08 12638.69

10 1194016.42 11940.16 12638.6911 1193317.89 11933.18 12638.6912 1192612.38 11926.12 12638.6913 1191899.82 11919.00 12638.6914 1191180.12 11911.80 12638.6915 1190453.24 11904.53 12638.6916 1189719.08 11897.19 12638.6917 1188977.58 11889.78 12638.6918 1188228.67 11882.29 12638.6919 1187472.26 11874.72 12638.6920 1186708.30 11867.08 12638.6921 1185936.69 11859.37 12638.6922 1185157.37 11851.57 12638.6923 1184370.25 11843.70 12638.6924 1183575.26 11835.75 12638.6925 1182772.33 11827.72 12638.6926 1181961.36 11819.61 12638.6927 1181142.28 11811.42 12638.6928 1180315.02 11803.15 12638.6929 1179479.48 11794.79 12638.6930 1178635.58 11786.36 12638.6931 1177783.25 11777.83 12638.6932 1176922.39 11769.22 12638.6933 1176052.92 11760.53 12638.69

34 1175174.76 11751.75 12638.6935 1174287.82 11742.88 12638.6936 1173392.01 11733.92 12638.6937 1172487.24 11724.87 12638.6938 1171573.42 11715.73 12638.6939 1170650.47 11706.50 12638.6940 1169718.28 11697.18 12638.6941 1168776.78 11687.77 12638.6942 1167825.85 11678.26 12638.6943 1166865.42 11668.65 12638.6944 1165895.39 11658.95 12638.6945 1164915.65 11649.16 12638.6946 1163926.12 11639.26 12638.6947 1162926.69 11629.27 12638.6948 1161917.27 11619.17 12638.6949 1160897.75 11608.98 12638.6950 1159868.04 11598.68 12638.6951 1158828.03 11588.28 12638.6952 1157777.62 11577.78 12638.6953 1156716.71 11567.17 12638.6954 1155645.18 11556.45 12638.6955 1154562.95 11545.63 12638.6956 1153469.89 11534.70 12638.6957 1152365.89 11523.66 12638.6958 1151250.86 11512.51 12638.6959 1150124.68 11501.25 12638.6960 1148987.24 11489.87 12638.6961 1147838.42 11478.38 12638.6962 1146678.12 11466.78 12638.6963 1145506.21 11455.06 12638.6964 1144322.58 11443.23 12638.6965 1143127.12 11431.27 12638.6966 1141919.70 11419.20 12638.6967 1140700.21 11407.00 12638.6968 1139468.52 11394.69 12638.6969 1138224.51 11382.25 12638.6970 1136968.07 11369.68 12638.6971 1135699.06 11356.99 12638.6972 1134417.36 11344.17 12638.6973 1133122.84 11331.23 12638.6974 1131815.38 11318.15 12638.6975 1130494.85 11304.95 12638.6976 1129161.11 11291.61 12638.6977 1127814.03 11278.14 12638.6978 1126453.48 11264.53 12638.69

79 1125079.32 11250.79 12638.6980 1123691.43 11236.91 12638.6981 1122289.65 11222.90 12638.6982 1120873.86 11208.74 12638.6983 1119443.91 11194.44 12638.6984 1117999.66 11180.00 12638.6985 1116540.96 11165.41 12638.6986 1115067.68 11150.68 12638.6987 1113579.67 11135.80 12638.6988 1112076.78 11120.77 12638.6989 1110558.86 11105.59 12638.6990 1109025.75 11090.26 12638.6991 1107477.32 11074.77 12638.6992 1105913.41 11059.13 12638.6993 1104333.85 11043.34 12638.6994 1102738.50 11027.38 12638.6995 1101127.19 11011.27 12638.6996 1099499.78 10995.00 12638.6997 1097856.08 10978.56 12638.6998 1096195.96 10961.96 12638.6999 1094519.23 10945.19 12638.69

100 1092825.73 10928.26 12638.69101 1091115.30 10911.15 12638.69102 1089387.76 10893.88 12638.69103 1087642.95 10876.43 12638.69104 1085880.69 10858.81 12638.69105 1084100.80 10841.01 12638.69106 1082303.12 10823.03 12638.69107 1080487.46 10804.87 12638.69108 1078653.65 10786.54 12638.69109 1076801.50 10768.01 12638.69110 1074930.82 10749.31 12638.69111 1073041.44 10730.41 12638.69112 1071133.16 10711.33 12638.69113 1069205.81 10692.06 12638.69114 1067259.17 10672.59 12638.69115 1065293.08 10652.93 12638.69116 1063307.32 10633.07 12638.69117 1061301.70 10613.02 12638.69118 1059276.03 10592.76 12638.69119 1057230.10 10572.30 12638.69120 1055163.71 10551.64 12638.69121 1053076.66 10530.77 12638.69122 1050968.73 10509.69 12638.69123 1048839.73 10488.40 12638.69

124 1046689.44 10466.89 12638.69125 1044517.64 10445.18 12638.69126 1042324.13 10423.24 12638.69127 1040108.68 10401.09 12638.69128 1037871.08 10378.71 12638.69129 1035611.10 10356.11 12638.69130 1033328.52 10333.29 12638.69131 1031023.12 10310.23 12638.69132 1028694.66 10286.95 12638.69133 1026342.92 10263.43 12638.69134 1023967.65 10239.68 12638.69135 1021568.64 10215.69 12638.69136 1019145.64 10191.46 12638.69137 1016698.41 10166.98 12638.69138 1014226.70 10142.27 12638.69139 1011730.28 10117.30 12638.69140 1009208.89 10092.09 12638.69141 1006662.29 10066.62 12638.69142 1004090.22 10040.90 12638.69143 1001492.43 10014.92 12638.69144 998868.67 9988.69 12638.69145 996218.67 9962.19 12638.69146 993542.16 9935.42 12638.69147 990838.90 9908.39 12638.69148 988108.59 9881.09 12638.69149 985350.99 9853.51 12638.69150 982565.81 9825.66 12638.69151 979752.78 9797.53 12638.69152 976911.62 9769.12 12638.69153 974042.04 9740.42 12638.69154 971143.77 9711.44 12638.69155 968216.52 9682.17 12638.69156 965260.00 9652.60 12638.69157 962273.91 9622.74 12638.69158 959257.96 9592.58 12638.69159 956211.85 9562.12 12638.69160 953135.28 9531.35 12638.69161 950027.94 9500.28 12638.69162 946889.53 9468.90 12638.69163 943719.73 9437.20 12638.69164 940518.24 9405.18 12638.69165 937284.74 9372.85 12638.69166 934018.89 9340.19 12638.69167 930720.39 9307.20 12638.69168 927388.91 9273.89 12638.69

169 924024.11 9240.24 12638.69170 920625.66 9206.26 12638.69171 917193.22 9171.93 12638.69172 913726.47 9137.26 12638.69173 910225.04 9102.25 12638.69174 906688.60 9066.89 12638.69175 903116.80 9031.17 12638.69176 899509.28 8995.09 12638.69177 895865.68 8958.66 12638.69178 892185.65 8921.86 12638.69179 888468.81 8884.69 12638.69180 884714.81 8847.15 12638.69181 880923.27 8809.23 12638.69182 877093.81 8770.94 12638.69183 873226.06 8732.26 12638.69184 869319.63 8693.20 12638.69185 865374.14 8653.74 12638.69186 861389.19 8613.89 12638.69187 857364.39 8573.64 12638.69188 853299.35 8532.99 12638.69189 849193.65 8491.94 12638.69190 845046.90 8450.47 12638.69191 840858.68 8408.59 12638.69192 836628.57 8366.29 12638.69193 832356.17 8323.56 12638.69194 828041.04 8280.41 12638.69195 823682.76 8236.83 12638.69196 819280.90 8192.81 12638.69197 814835.02 8148.35 12638.69198 810344.68 8103.45 12638.69199 805809.44 8058.09 12638.69200 801228.84 8012.29 12638.69201 796602.44 7966.02 12638.69202 791929.78 7919.30 12638.69203 787210.38 7872.10 12638.69204 782443.80 7824.44 12638.69205 777629.55 7776.30 12638.69206 772767.15 7727.67 12638.69207 767856.13 7678.56 12638.69208 762896.01 7628.96 12638.69209 757886.28 7578.86 12638.69210 752826.45 7528.26 12638.69211 747716.02 7477.16 12638.69212 742554.49 7425.54 12638.69213 737341.35 7373.41 12638.69

214 732076.07 7320.76 12638.69215 726758.14 7267.58 12638.69216 721387.04 7213.87 12638.69217 715962.22 7159.62 12638.69218 710483.15 7104.83 12638.69219 704949.29 7049.49 12638.69220 699360.09 6993.60 12638.69221 693715.01 6937.15 12638.69222 688013.47 6880.13 12638.69223 682254.91 6822.55 12638.69224 676438.77 6764.39 12638.69225 670564.47 6705.64 12638.69226 664631.42 6646.31 12638.69227 658639.05 6586.39 12638.69228 652586.75 6525.87 12638.69229 646473.93 6464.74 12638.69230 640299.98 6403.00 12638.69231 634064.29 6340.64 12638.69232 627766.24 6277.66 12638.69233 621405.21 6214.05 12638.69234 614980.57 6149.81 12638.69235 608491.69 6084.92 12638.69236 601937.92 6019.38 12638.69237 595318.61 5953.19 12638.69238 588633.10 5886.33 12638.69239 581880.74 5818.81 12638.69240 575060.86 5750.61 12638.69241 568172.78 5681.73 12638.69242 561215.82 5612.16 12638.69243 554189.29 5541.89 12638.69244 547092.49 5470.92 12638.69245 539924.73 5399.25 12638.69246 532685.28 5326.85 12638.69247 525373.45 5253.73 12638.69248 517988.49 5179.88 12638.69249 510529.69 5105.30 12638.69250 502996.29 5029.96 12638.69251 495387.57 4953.88 12638.69252 487702.75 4877.03 12638.69253 479941.09 4799.41 12638.69254 472101.81 4721.02 12638.69255 464184.14 4641.84 12638.69256 456187.29 4561.87 12638.69257 448110.48 4481.10 12638.69258 439952.89 4399.53 12638.69

259 431713.73 4317.14 12638.69260 423392.18 4233.92 12638.69261 414987.41 4149.87 12638.69262 406498.59 4064.99 12638.69263 397924.89 3979.25 12638.69264 389265.45 3892.65 12638.69265 380519.41 3805.19 12638.69266 371685.92 3716.86 12638.69267 362764.09 3627.64 12638.69268 353753.04 3537.53 12638.69269 344651.88 3446.52 12638.69270 335459.71 3354.60 12638.69271 326175.62 3261.76 12638.69272 316798.68 3167.99 12638.69273 307327.98 3073.28 12638.69274 297762.57 2977.63 12638.69275 288101.51 2881.02 12638.69276 278343.83 2783.44 12638.69277 268488.58 2684.89 12638.69278 258534.78 2585.35 12638.69279 248481.43 2484.81 12638.69280 238327.56 2383.28 12638.69281 228072.14 2280.72 12638.69282 217714.18 2177.14 12638.69283 207252.63 2072.53 12638.69284 196686.46 1966.86 12638.69285 186014.64 1860.15 12638.69286 175236.10 1752.36 12638.69287 164349.77 1643.50 12638.69288 153354.58 1533.55 12638.69289 142249.43 1422.49 12638.69290 131033.24 1310.33 12638.69291 119704.88 1197.05 12638.69292 108263.24 1082.63 12638.69293 96707.18 967.07 12638.69294 85035.56 850.36 12638.69295 73247.23 732.47 12638.69296 61341.01 613.41 12638.69297 49315.73 493.16 12638.69298 37170.20 371.70 12638.69299 24903.21 249.03 12638.69300 12513.55 125.14 12638.69

Una empresa adquiere una propiedad por un valor de $ 1.200.000 mediante el sistema de amortizacin gradual. Hipoteca dicha propiedad a una institucin financiera, a 25 aos de plazo, pagaderos en cuotas mensuales iguales, a una tasa de inters del 12% anual capitalizable mensualmente. Calcule: a) el valor de la cuota mensual; b) los derechos del acreedor; c) los derechos del deudor, ambos luego de haber pagado la cuota 200.

12638.69

3791694Capital pagado Saldo deuda al

por cuota al final final del perodo S/. -638.69del perodo

638.69 1199361.31645.08 1198716.23651.53 1198064.71658.04 1197406.66664.62 1196742.04671.27 1196070.77677.98 1195392.79684.76 1194708.03691.61 1194016.42698.53 1193317.89705.51 1192612.38712.57 1191899.82719.69 1191180.12726.89 1190453.24734.16 1189719.08741.50 1188977.58748.91 1188228.67756.40 1187472.26763.97 1186708.30771.61 1185936.69779.32 1185157.37787.12 1184370.25794.99 1183575.26802.94 1182772.33810.97 1181961.36819.08 1181142.28827.27 1180315.02835.54 1179479.48843.89 1178635.58852.33 1177783.25860.86 1176922.39869.47 1176052.92878.16 1175174.76

1)01.01()01.01(01.01200000 300300

R

886.94 1174287.82895.81 1173392.01904.77 1172487.24913.82 1171573.42922.96 1170650.47932.19 1169718.28941.51 1168776.78950.92 1167825.85960.43 1166865.42970.04 1165895.39979.74 1164915.65989.53 1163926.12999.43 1162926.69

1009.42 1161917.271019.52 1160897.751029.71 1159868.041040.01 1158828.031050.41 1157777.621060.91 1156716.711071.52 1155645.181082.24 1154562.951093.06 1153469.891103.99 1152365.891115.03 1151250.861126.18 1150124.681137.44 1148987.241148.82 1147838.421160.31 1146678.121171.91 1145506.211183.63 1144322.581195.46 1143127.121207.42 1141919.701219.49 1140700.211231.69 1139468.521244.00 1138224.511256.44 1136968.071269.01 1135699.061281.70 1134417.361294.52 1133122.841307.46 1131815.381320.54 1130494.851333.74 1129161.111347.08 1127814.031360.55 1126453.481374.15 1125079.32

1387.90 1123691.431401.78 1122289.651415.79 1120873.861429.95 1119443.911444.25 1117999.661458.69 1116540.961473.28 1115067.681488.01 1113579.671502.89 1112076.781517.92 1110558.861533.10 1109025.751548.43 1107477.321563.92 1105913.411579.56 1104333.851595.35 1102738.501611.30 1101127.191627.42 1099499.781643.69 1097856.081660.13 1096195.961676.73 1094519.231693.50 1092825.731710.43 1091115.301727.54 1089387.761744.81 1087642.951762.26 1085880.691779.88 1084100.801797.68 1082303.121815.66 1080487.461833.82 1078653.651852.15 1076801.501870.67 1074930.821889.38 1073041.441908.28 1071133.161927.36 1069205.811946.63 1067259.171966.10 1065293.081985.76 1063307.322005.62 1061301.702025.67 1059276.032045.93 1057230.102066.39 1055163.712087.05 1053076.662107.92 1050968.732129.00 1048839.732150.29 1046689.44

2171.80 1044517.642193.51 1042324.132215.45 1040108.682237.60 1037871.082259.98 1035611.102282.58 1033328.522305.40 1031023.122328.46 1028694.662351.74 1026342.922375.26 1023967.652399.01 1021568.642423.00 1019145.642447.23 1016698.412471.71 1014226.702496.42 1011730.282521.39 1009208.892546.60 1006662.292572.07 1004090.222597.79 1001492.432623.77 998868.672650.00 996218.672676.50 993542.162703.27 990838.902730.30 988108.592757.60 985350.992785.18 982565.812813.03 979752.782841.16 976911.622869.57 974042.042898.27 971143.772927.25 968216.522956.52 965260.002986.09 962273.913015.95 959257.963046.11 956211.853076.57 953135.283107.34 950027.943138.41 946889.533169.79 943719.733201.49 940518.243233.51 937284.743265.84 934018.893298.50 930720.393331.49 927388.913364.80 924024.11

3398.45 920625.663432.43 917193.223466.76 913726.473501.43 910225.043536.44 906688.603571.80 903116.803607.52 899509.283643.60 895865.683680.03 892185.653716.83 888468.813754.00 884714.813791.54 880923.273829.46 877093.813867.75 873226.063906.43 869319.633945.49 865374.143984.95 861389.194024.80 857364.394065.05 853299.354105.70 849193.654146.75 845046.904188.22 840858.684230.10 836628.574272.40 832356.174315.13 828041.044358.28 823682.764401.86 819280.904445.88 814835.024490.34 810344.684535.24 805809.444580.60 801228.844626.40 796602.444672.67 791929.784719.39 787210.384766.59 782443.804814.25 777629.554862.39 772767.154911.02 767856.134960.13 762896.015009.73 757886.285059.83 752826.455110.43 747716.025161.53 742554.495213.14 737341.355265.28 732076.07

5317.93 726758.145371.11 721387.045424.82 715962.225479.07 710483.155533.86 704949.295589.20 699360.095645.09 693715.015701.54 688013.475758.56 682254.915816.14 676438.775874.30 670564.475933.05 664631.425992.38 658639.056052.30 652586.756112.82 646473.936173.95 640299.986235.69 634064.296298.05 627766.246361.03 621405.216424.64 614980.576488.88 608491.696553.77 601937.926619.31 595318.616685.50 588633.106752.36 581880.746819.88 575060.866888.08 568172.786956.96 561215.827026.53 554189.297096.80 547092.497167.76 539924.737239.44 532685.287311.84 525373.457384.96 517988.497458.80 510529.697533.39 502996.297608.73 495387.577684.81 487702.757761.66 479941.097839.28 472101.817917.67 464184.147996.85 456187.298076.82 448110.488157.58 439952.898239.16 431713.73

8321.55 423392.188404.77 414987.418488.82 406498.598573.70 397924.898659.44 389265.458746.04 380519.418833.50 371685.928921.83 362764.099011.05 353753.049101.16 344651.889192.17 335459.719284.09 326175.629376.93 316798.689470.70 307327.989565.41 297762.579661.06 288101.519757.67 278343.839855.25 268488.589953.80 258534.78

10053.34 248481.4310153.88 238327.5610255.41 228072.1410357.97 217714.1810461.55 207252.6310566.16 196686.4610671.83 186014.6410778.54 175236.1010886.33 164349.7710995.19 153354.5811105.14 142249.4311216.20 131033.2411328.36 119704.8811441.64 108263.2411556.06 96707.1811671.62 85035.5611788.33 73247.2311906.22 61341.0112025.28 49315.7312145.53 37170.2012266.99 24903.2112389.66 12513.5512513.55 0.00

1)01.01()01.01(01.01200000 300300

R

P = 10000 cuota R = n (aos) = 1,5 18i% = 36 anual mensual 0.02

Perodo

Capital insoluto Inters vencido al Cuota o pago al principio del final del perodo perodo

1 10000 200.00 667.022 9532.98 190.66 667.023 9056.62 181.13 667.024 8570.73 171.41 667.025 8075.12 161.50 667.026 7569.60 151.39 667.027 7053.97 141.08 667.028 6528.03 130.56 667.029 5991.57 119.83 667.02

10 5444.38 108.89 667.0211 4886.25 97.73 667.0212 4316.95 86.34 667.0213 3736.27 74.73 667.0214 3143.98 62.88 667.0215 2539.84 50.80 667.0216 1923.61 38.47 667.0217 1295.06 25.90 667.0218 653.94 13.08 667.02

667.02

Capital pagado Saldo deuda al metodo de amortizacin constantepor cuota al final final del perodo

del perodo periodo saldo467.02 9532.98 1 10000476.36 9056.62 2 9444.44485.89 8570.73 3 8888.89495.61 8075.12 4 8333.33505.52 7569.60 5 7777.78515.63 7053.97 6 7222.22525.94 6528.03 7 6666.67536.46 5991.57 8 6111.11547.19 5444.38 9 5555.56558.13 4886.25 10 5000.00569.30 4316.95 11 4444.44580.68 3736.27 12 3888.89592.30 3143.98 13 3333.33604.14 2539.84 14 2777.78616.22 1923.61 15 2222.22628.55 1295.06 16 1666.67641.12 653.94 17 1111.11653.94 0.00 18 555.56

metodo de amortizacin constante metodo de amortizacion diferida

inters amortizacion cuota periodo saldo200.00 555.56 755.56 1 10000188.89 555.56 744.44 2 10000.00177.78 555.56 733.33 3 10000.00166.67 555.56 722.22 4 10000.00155.56 555.56 711.11 5 10000.00144.44 555.56 700.00 6 10000.00133.33 555.56 688.89 7 10000.00122.22 555.56 677.78 8 10000.00111.11 555.56 666.67 9 10000.00100.00 555.56 655.56 10 10000.0088.89 555.56 644.44 11 10000.0077.78 555.56 633.33 12 10000.0066.67 555.56 622.22 13 10000.0055.56 555.56 611.11 14 10000.0044.44 555.56 600.00 15 10000.0033.33 555.56 588.89 16 10000.0022.22 555.56 577.78 17 10000.0011.11 555.56 566.67 18 10000

metodo de amortizacion diferida

inters amortizacion cuota200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 0 200.00200.00 10000 10200.00

Prestamo 300 cuotasPrestaamo 12 cuotas