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Matemática Financiera
Prof. Víctor Castillo
Elaborado por Cesar Chamochumbi
C.I. 82.262.807
Administración Mención Ciencias Comerciales (71)
Sede Caracas
AMORTIZACIONES
Caracas, enero de 2021
AMORTIZACIONES
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:
𝐴 = 80.000.000,00
𝑖 =
0.28
4
= 0,07
𝑛 = 4
Resolución:
Luego,
𝑅 = 80.000.000,00 (
0,07
1 − (1 + 0,07)−4
) = 23.318.249,33 (𝑉𝑎𝑙𝑜𝑟 𝑑𝑒 𝑐𝑎𝑑𝑎 𝑐𝑢𝑜𝑡𝑎)
Tabla de Amortización
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:
𝐴 = 60.000.000,00
𝑖 =
0.16
12
= 0,013
𝑛 = 12
Resolución:
Luego,
𝑅 = 60.000.000,00 (
0,013
1 − (1 + 0,013)−12
) = 5.443.851,47 (𝑉𝑎𝑙𝑜𝑟 𝑑𝑒 𝑐𝑎𝑑𝑎 𝑐𝑢𝑜𝑡𝑎)
PERIODO
CAPITAL
INSOLUTO
INTERES
VENCIDO
CUOTA AMORTIZACION
AMORTIZACION
ACUMULADA
1 80.000.000,00 5.600.000,00 23.618.249,33 18.018.249,33 18.018.249,33
2 61.981.750,67 4.338.722,55 23.618.249,33 19.279.526,79 37.297.776,12
3 42.702.223,88 2.989.155,67 23.618.249,33 20.629.093,66 57.926.869,78
4 22.073.130,22 1.545.119,12 23.618.249,33 22.073.130,22 80.000.000,00
TOTALES 14.472.997,33 94.472.997,33 80.000.000,00
Tabla de Amortización
PERIODO
CAPITAL
INSOLUTO
INTERES
VENCIDO
CUOTA AMORTIZACION
AMORTIZACION
ACUMULADA
1 60.000.000,00 800.000,00 5.443.851,47 4.643.851,47 4.643.851,47
2 55.356.148,53 738.081,98 5.443.851,47 4.705.769,49 9.349.620,96
3 50.650.379,04 675.338,39 5.443.851,47 4.768.513,08 14.118.134,05
4 45.881.865,95 611.758,21 5.443.851,47 4.832.093,26 18.950.227,31
5 41.049.772,69 547.330,30 5.443.851,47 4.896.521,17 23.846.748,47
6 36.153.251,53 482.043,35 5.443.851,47 4.961.808,12 28.808.556,59
7 31.191.443,41 415.885,91 5.443.851,47 5.027.965,56 33.836.522,15
8 26.163.477,85 348.846,37 5.443.851,47 5.095.005,10 38.931.527,25
9 21.068.472,75 280.912,97 5.443.851,47 5.162.938,50 44.094.465,75
10 15.905.534,25 212.073,79 5.443.851,47 5.231.777,68 49.326.243,44
11 10.673.756,56 142.316,75 5.443.851,47 5.301.534,72 54.627.778,15
12 5.372.221,85 71.629,62 5.443.851,47 5.372.221,85 60.000.000,00
TOTALES 5.326.217,66 65.326.217,66 60.000.000,00

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Amortizaciones

  • 1. Matemática Financiera Prof. Víctor Castillo Elaborado por Cesar Chamochumbi C.I. 82.262.807 Administración Mención Ciencias Comerciales (71) Sede Caracas AMORTIZACIONES Caracas, enero de 2021
  • 2. AMORTIZACIONES 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: 𝐴 = 80.000.000,00 𝑖 = 0.28 4 = 0,07 𝑛 = 4 Resolución: Luego, 𝑅 = 80.000.000,00 ( 0,07 1 − (1 + 0,07)−4 ) = 23.318.249,33 (𝑉𝑎𝑙𝑜𝑟 𝑑𝑒 𝑐𝑎𝑑𝑎 𝑐𝑢𝑜𝑡𝑎)
  • 3. Tabla de Amortización 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: 𝐴 = 60.000.000,00 𝑖 = 0.16 12 = 0,013 𝑛 = 12 Resolución: Luego, 𝑅 = 60.000.000,00 ( 0,013 1 − (1 + 0,013)−12 ) = 5.443.851,47 (𝑉𝑎𝑙𝑜𝑟 𝑑𝑒 𝑐𝑎𝑑𝑎 𝑐𝑢𝑜𝑡𝑎) PERIODO CAPITAL INSOLUTO INTERES VENCIDO CUOTA AMORTIZACION AMORTIZACION ACUMULADA 1 80.000.000,00 5.600.000,00 23.618.249,33 18.018.249,33 18.018.249,33 2 61.981.750,67 4.338.722,55 23.618.249,33 19.279.526,79 37.297.776,12 3 42.702.223,88 2.989.155,67 23.618.249,33 20.629.093,66 57.926.869,78 4 22.073.130,22 1.545.119,12 23.618.249,33 22.073.130,22 80.000.000,00 TOTALES 14.472.997,33 94.472.997,33 80.000.000,00
  • 4. Tabla de Amortización PERIODO CAPITAL INSOLUTO INTERES VENCIDO CUOTA AMORTIZACION AMORTIZACION ACUMULADA 1 60.000.000,00 800.000,00 5.443.851,47 4.643.851,47 4.643.851,47 2 55.356.148,53 738.081,98 5.443.851,47 4.705.769,49 9.349.620,96 3 50.650.379,04 675.338,39 5.443.851,47 4.768.513,08 14.118.134,05 4 45.881.865,95 611.758,21 5.443.851,47 4.832.093,26 18.950.227,31 5 41.049.772,69 547.330,30 5.443.851,47 4.896.521,17 23.846.748,47 6 36.153.251,53 482.043,35 5.443.851,47 4.961.808,12 28.808.556,59 7 31.191.443,41 415.885,91 5.443.851,47 5.027.965,56 33.836.522,15 8 26.163.477,85 348.846,37 5.443.851,47 5.095.005,10 38.931.527,25 9 21.068.472,75 280.912,97 5.443.851,47 5.162.938,50 44.094.465,75 10 15.905.534,25 212.073,79 5.443.851,47 5.231.777,68 49.326.243,44 11 10.673.756,56 142.316,75 5.443.851,47 5.301.534,72 54.627.778,15 12 5.372.221,85 71.629,62 5.443.851,47 5.372.221,85 60.000.000,00 TOTALES 5.326.217,66 65.326.217,66 60.000.000,00