ESQUEMAS DE AMORTIZACIÓN REGULAR VALOR PRESENTE PARAMETROS TASA N VP A 10% 3 1000 100
VP(1+i/m)mn (i/m) A=-----------------------------------------------(1+i/m) mn - 1 n años 4 315.4708037 154.7218136 102.4714829 76.59898861 61.15671813 50.89580264 43.58322455 38.10790563 33.85473023 30.45559798
m 1 2 3 4 5 6 7 8 9 10
1 1100 537.804878 355.7983996 265.8178777 212.1583941 176.5227843 151.1361817 132.1331365 117.3748806 105.5820766
2 576.1904762 282.0118326 186.6420757 139.4673458 111.3265279 92.6345059 79.31668182 69.34672205 61.60322731 55.41531489
3 402.1148036 197.0174681 130.4380677 97.48712699 77.82547225 64.76320061 55.45532926 48.48664805 43.07381193 38.74811322
5 263.7974808 129.504575 85.79913797 64.14712873 51.22043842 42.62959398 36.50649761 31.92141391 28.35953087 25.51273093
6 229.6074 112.8254 74.77314 55.91282 44.64992 37.16358 31.82712 27.83075 24.72601 22.24445
7 205.4054997 101.0239695 66.97282073 50.08793273 40.00220919 33.29727523 28.51729902 24.93738765 22.15601946 19.93282067
periodos 1 2 3 4 5 6 7 8
cuotas 154.72181 154.72181 154.72181 154.72181 154.72181 154.72181 154.72181 154.72181 total VP
cuotas act. 147.35411 140.33725 133.65452 127.29002 121.22859 115.45580 109.95790 104.72181 1000
Ejemplo de actualización para cuotas de 154.72$ para cuatro años convertible semestralmente
FACTORES DE DESCAPITALIZACIÓN m 1 2 3 4 5 6 7 8 8 10 1 0.909091 1.859410 2.810580 3.761974 4.713460 5.664991 6.616549 7.568124 7.568124 9.471305 2 1.735537 3.545951 5.357849 7.170137 8.982585 10.795113 12.607688 14.420292 14.420292 18.045553 3 2.486852 5.075692 7.666474 10.257765 12.849264 15.440868 18.032532 20.624235 20.624235 25.807708 n años 4 3.169865 6.463213 9.758813 13.055003 16.351433 19.647986 22.944608 26.241274 26.241274 32.834686 5 3.790787 7.721735 11.655129 15.589162 19.523456 23.457882 27.392384 31.326933 31.326933 39.196118 6 4.35526 8.86325 13.37379 17.88499 22.39646 26.90806 31.41975 35.93148 35.93148 44.95504 7 4.868419 9.898641 14.931430 19.964889 24.998619 30.032487 35.066435 40.100431 40.100431 50.168514
ESQUEMA DE AMORTIZACIÓN ANTICIPADA VALOR PRESENTE PARAMETROS
TASA N VP A
10% 3 1000 100
VP(1+i/m)mn-1 (i/m) A=-----------------------------------------------------------(1+i/m)mn-1 n años 4 286.7916397 147.3541082 99.16595116 74.73072059 59.95756679 50.06144522 42.96937632 37.63743766 33.48270023 30.1540574
m 1 2 3 4 5 6 7 8 9 10
1 1000 512.195122 344.3210319 259.3345148 207.9984256 173.6289682 149.0075031 130.5018632 116.0850467 104.5367095
2 523.8095238 268.5826977 180.6213636 136.0657033 109.1436548 91.11590744 78.19954546 68.49058968 60.92626876 54.86664841
3 365.5589124 187.6356839 126.2303881 95.10939218 76.2994826 63.70150879 54.67426828 47.88804745 42.60047334 38.36446853
5 239.8158916 123.3376904 83.03142384 62.58256462 50.2161161 41.93074818 35.99232159 31.52732238 28.04788768 25.26012963
6 208.734 107.4528 72.3611 54.54909 43.77443 36.55434 31.37885 27.48716 24.45429 22.02421
7 186.7322725 96.21330425 64.81240716 48.86627584 39.21785215 32.75141826 28.11564692 24.62951867 21.91254672 19.73546601
FACTORES DE DESCAPITALIZACIÓN m 1 2 3 4 5 6 7 8 8 10 1 1.000000 1.952381 2.904266 3.856024 4.807729 5.759408 6.711071 7.662726 7.662726 9.566018 2 1.909091 3.723248 5.536444 7.349391 9.162237 10.975032 12.787798 14.600546 14.600546 18.226008 3 2.735537 5.329477 7.922023 10.514209 13.106249 15.698215 18.290140 20.882037 20.882037 26.065785 n años 4 3.486852 6.786373 10.084106 13.381378 16.678462 19.975452 23.272388 26.569290 26.569290 33.163033 5 4.169865 8.107822 12.043633 15.978891 19.913926 23.848847 27.783704 31.718520 31.718520 39.588079 6 4.79079 9.30641 13.81958 18.33211 22.84438 27.35653 31.86860 36.38062 36.38062 45.40459 7 5.355261 10.393573 15.429145 20.464011 25.498592 30.533029 35.567384 40.601687 40.601687 50.670199
periodos 1 2 3 4 5 6 7 8 9
cuotas 126.2303881 126.2303881 126.2303881 126.2303881 126.2303881 126.2303881 126.2303881 126.2303881 126.2303881 total VP
cuotas act. 126.23039 122.15844 Ejemplo de actualización para cuotas de 126.23$ 118.21785 para tres años convertible cuatrimestralmente 114.40437 en un esquema de amortización anticipada 110.71390 107.14249 103.68628 100.34156 97.10473 1000.00000
INT 0 1 2 3 4 5 10000 8362.02519 6560.2529 4578.30339 2398.15892
ANUALIDADES REGULARES ABONO A CAPITAL PAGO 16379.74808 18017.72289 19819.49518 21801.44469 23981.58916 26379.74808 26379.74808 26379.74808 26379.74808 26379.74808
SALDO INSOL 100000 83620.25192 65602.52903 45783.03386 23981.58916 9.45874E-11
PARAMETROS TASA N VP A 10% 5 100000 26379.74808
0 1 2 3 4
INT 0 7601.84108 5963.86628 4162.09399 2180.14447
ANUALIDADES ANTICIPADAS ABONO SALDO A CAPITAL PAGO INSOL 23981.58916 23981.58916 76018.41084 16379.74808 23981.58916 59638.66276 18017.72289 23981.58916 41620.93987 19819.49518 23981.58916 21801.44469 21801.44469 23981.58916 9.09495E-11
PARAMETROS TASA N VP A 10% 5 100000 23981.58916
ESQUEMAS DE AMORTIZACIÓN REGULAR VALOR FUTURO PARAMETROS TASA N VF A 10% 7 ? 100
A(1+i/m)mn - 1 VF=-----------------------------------------------(i/m) n años 4 464.100000 954.910888 1446.379469 1938.022483 2429.736980 2921.487708 3413.259321 3905.044069 4396.837613 4888.637336
m 1 2 3 4 5 6 7 8 9 10
1 100.000000 205.000000 310.111111 415.251562 520.404016 625.562546 730.724578 835.888809 941.054514 1046.221254
2 210.000000 431.012500 652.278523 873.611590 1094.972100 1316.346509 1537.728928 1759.116382 1980.507207 2201.900399
3 331.000000 680.191281 1029.815906 1379.555297 1729.341692 2079.151902 2428.975837 2778.808403 3128.646749 3478.489153
5 610.510000 1257.789254 1906.003361 2554.465761 3203.029972 3851.645802 4500.291395 5148.955708 5797.632559 6446.318218
6 7 771.561 948.717100 1591.713 1959.863199 2413.139 2972.696903 3234.904 3985.980075 4056.808 4999.447763 4878.783 6013.009063 5700.798 7026.624361 6522.839 8040.273631 7344.897 9053.945661 8166.967 10067.633684
FACTORES DE CAPITALIZACIÓN m 1 2 3 4 5 6 7 8 8 10 1 1.000000 2.050000 3.101111 4.152516 5.204040 6.255625 7.307246 8.358888 9.410545 10.462213 2 2.100000 4.310125 6.522785 8.736116 10.949721 13.163465 15.377289 17.591164 19.805072 22.019004 3 3.310000 6.801913 10.298159 13.795553 17.293417 20.791519 24.289758 27.788084 31.286467 34.784892 n años 4 4.641000 9.549109 14.463795 19.380225 24.297370 29.214877 34.132593 39.050441 43.968376 48.886373 5 6.105100 12.577893 19.060034 25.544658 32.030300 38.516458 45.002914 51.489557 57.976326 64.463182 6 7.71561 15.91713 24.13139 32.34904 40.56808 48.78783 57.00798 65.22839 73.44897 81.66967 7 9.487171 19.598632 29.726969 39.859801 49.994478 60.130091 70.266244 80.402736 90.539457 100.676337
periodos
cuotas
cuotas act.
0 1 2 3 4 5 6 7
100.000000 100.000000 100.000000 100.000000 100.000000 100.000000 100.000000 100.000000 total VF
100.00000 102.50000 105.06250 107.68906 110.38129 113.14082 115.96934 118.86858 873.61159
Ejemplo de capitalización para cuotas de 100$ para dos años convertible trimestralmente en un esquema de valor futuro