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República Bolivariana de Venezuela
Instituto Universitario de Tecnología
“Antonio José de Sucre”
Extensión San Felipe
Nombre: Antonella Valentina
Apellido: Mujica Mateus
Escuela: 71 Administración Comercial
Cedula: 29.639.264
San Felipe, 20 Enero 2021
1.-Calcule el valor de los pagos y la tabla de amortización para saldar una deuda de
Bs. 80.000.000,00 contratada al 28% anual convertible trimestralmente, si la deuda
debe cancelarse en 1 año, haciendo pagos trimestrales y el primero de ellos se realiza
dentro del primer trimestre.
Datos:
C: 80.000.000,00 Bs.
I: 28% Anual convertible trimestralmente
N: 4
R: ?
𝑅 = 𝐶 (
𝑖
1 − (1 + 𝑖)−𝑛
) = 80.000.000,00 (
0.28
4
1 − (1 +
0.28
4
)−4
) = 23.618.249,33
Fecha Pago Interés sobre
el saldo
Amortización Saldo
0 80.000.000,00
1 23.618.249,33 5.600.000,00 18.018.249,33 61981750,67
2 23.618.249,33 4.338.722,55 19.279.526,78 42702223,89
3 23.618.249,33 2.989.155,67 20.629.093,66 22073130,23
4 23.618.249,33 1.545.119,12 22.073.130,21 0,02
Totales 94.472.997,32 14.472.997,34 79.999.999,98
2.-Una Casa de préstamos otorga a una persona natural un crédito para viajar por Bs.
60.000.000,00 a pagar en 12 mensualidades vencidas, con una tasa del 16% anual
capitalizable mensualmente.
Datos:
C: 60.000.000,00 Bs.
I: 16% Anual Capitalizable mensualmente
N: 12
R: ?
𝑅 = 𝐶 (
𝑖
1 − (1 + 𝑖)−𝑛
) = 60.000.000,00 (
0.16
12
1 − (1 +
0.16
12
)−12
) = 5.443.851,47
Fecha Pago Interés sobre
el saldo
Amortización Saldo
0 60.000.000,00
1 5.443.851,47 800.000,00 4.643.851,47 55.356.148,53
2 5.443.851,47 738.081,98 4.705.769,49 50.650.379,04
3 5.443.851,47 675.338,39 4.768.513,08 45.881.865,96
4 5.443.851,47 611.758,21 4.832.093,26 41.049.772,70
5 5.443.851,47 547.330,30 4.896.521,17 36.153.251,53
6 5.443.851,47 482.043,35 4.961.808,12 31.191.443,42
7 5.443.851,47 415.885,91 5.027.965,56 26.163.477,86
8 5.443.851,47 348.846,37 5.095.005,10 21.068.472,76
9 5.443.851,47 280.912,97 5.162.938,50 15.905.534,26
10 5.443.851,47 212.073,79 5.231.777,68 10.673.756,58
11 5.443.851,47 142.316,75 5.301.534,72 5.372.221,87
12 5.443.851,47 71.629,62 5.372.221,85 0,02
Totales 65.326.217,64 5.326.217,66 59.999.999,98

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Matemáticas financiera

  • 1. República Bolivariana de Venezuela Instituto Universitario de Tecnología “Antonio José de Sucre” Extensión San Felipe Nombre: Antonella Valentina Apellido: Mujica Mateus Escuela: 71 Administración Comercial Cedula: 29.639.264 San Felipe, 20 Enero 2021
  • 2. 1.-Calcule el valor de los pagos y la tabla de amortización para saldar una deuda de Bs. 80.000.000,00 contratada al 28% anual convertible trimestralmente, si la deuda debe cancelarse en 1 año, haciendo pagos trimestrales y el primero de ellos se realiza dentro del primer trimestre. Datos: C: 80.000.000,00 Bs. I: 28% Anual convertible trimestralmente N: 4 R: ? 𝑅 = 𝐶 ( 𝑖 1 − (1 + 𝑖)−𝑛 ) = 80.000.000,00 ( 0.28 4 1 − (1 + 0.28 4 )−4 ) = 23.618.249,33 Fecha Pago Interés sobre el saldo Amortización Saldo 0 80.000.000,00 1 23.618.249,33 5.600.000,00 18.018.249,33 61981750,67 2 23.618.249,33 4.338.722,55 19.279.526,78 42702223,89 3 23.618.249,33 2.989.155,67 20.629.093,66 22073130,23 4 23.618.249,33 1.545.119,12 22.073.130,21 0,02 Totales 94.472.997,32 14.472.997,34 79.999.999,98 2.-Una Casa de préstamos otorga a una persona natural un crédito para viajar por Bs. 60.000.000,00 a pagar en 12 mensualidades vencidas, con una tasa del 16% anual capitalizable mensualmente. Datos: C: 60.000.000,00 Bs. I: 16% Anual Capitalizable mensualmente N: 12 R: ? 𝑅 = 𝐶 ( 𝑖 1 − (1 + 𝑖)−𝑛 ) = 60.000.000,00 ( 0.16 12 1 − (1 + 0.16 12 )−12 ) = 5.443.851,47 Fecha Pago Interés sobre el saldo Amortización Saldo 0 60.000.000,00 1 5.443.851,47 800.000,00 4.643.851,47 55.356.148,53 2 5.443.851,47 738.081,98 4.705.769,49 50.650.379,04 3 5.443.851,47 675.338,39 4.768.513,08 45.881.865,96 4 5.443.851,47 611.758,21 4.832.093,26 41.049.772,70
  • 3. 5 5.443.851,47 547.330,30 4.896.521,17 36.153.251,53 6 5.443.851,47 482.043,35 4.961.808,12 31.191.443,42 7 5.443.851,47 415.885,91 5.027.965,56 26.163.477,86 8 5.443.851,47 348.846,37 5.095.005,10 21.068.472,76 9 5.443.851,47 280.912,97 5.162.938,50 15.905.534,26 10 5.443.851,47 212.073,79 5.231.777,68 10.673.756,58 11 5.443.851,47 142.316,75 5.301.534,72 5.372.221,87 12 5.443.851,47 71.629,62 5.372.221,85 0,02 Totales 65.326.217,64 5.326.217,66 59.999.999,98