10000 9789 1 01 x t 10000 9789 1 01 x t 1021 1 01 x t

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10000 = 9789 (1 + 0.1 x T) 10000 /9789 = 1 + 0.1 x T 1.021= 1 + 0.1 x T 0.021= 0.1 x T T = 0.21 años 13.- Determinar el monto simple a obtener por las siguientes imposiciones: a).- Determina el monto simple: DATOS SOLUCION C = $ 13600 M = C (1+i.n) n = 45 días = 45/365 M = 13600 (1+0.2*(45/365)) i = 20% anual = 0.2 M = 13935.34 b).- Determinar el monto simple: DATOS SOLUCION C = $ 43800 M = C (1+i.n) n = 5 meses M = 43,800 (1+0.015*5) i = 1.5% mensual = 0.015 M = 47085 c).- Determinar el monto simple: DATOS SOLUCION C = $ 21200 M = C (1+i.n) n = 70 días = 70/30 M = 21200 (1+0.02*(70/30)) i = 2% mensual = 0.02 M = 22189.33 d).- Determinar el capital: DATOS SOLUCION M = $ 53016.25 i = 15% anual = 0.15 n = 3 meses = 3/12 M C = 1 + i*n C = 53016.25 1 + 0.15*(3/12) C = $ 51100
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11 e).- Determinar el capital: DATOS SOLUCION M= $ 13793.90 i= 1.2% mensual = 0.012 n= 45 días = 45/30 = 1.5 f).- Determinar el capital: DATOS SOLUCION M= $ 34851.32 i= 16% anual = 0.16 n= 146 días = 146/365 g).- Determinar la tasa: DATOS SOLUCION M= $ 22170.40 C= $ 21400 n= 3 meses h).- Determinar la tasa: DATOS M= $ 11687.60 C= $ 9580 n= 2 años i).- Determinar la tasa: M C = 1 + i*n C = 13793.90 1 + 0.012*(45/30) C = $ 13550 M C = 1 + i*n C = 34851.32 1 + 0.16*(146/365) C = $ 13550 M - 1 i = C n i = 22170.40 -1 21400.00 = 0.036 3 3 i = 0.012 =1.2% M - 1 i = C n i = 11687.60 -1 9580 = 0.22 2 2 i = 0.11 =11%
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12 DATOS SOLUCION M= $ 49650.30 C= $ 46620 n= 5 meses j).- Determinar el periodo: DATOS SOLUCION M= $ 17002.70 C= $ 15950 i = 1.1% mensual = 0.011 n = meses k).- Determinar el periodo: DATOS SOLUCION M= $ 40000 C= $ 25000 i = 20% anual = 0.2 n = años l).- Determinar el periodo: DATOS SOLUCION M= $ 32984.16 C= $ 31235 i = 0.8% mensual = 0.008 n = meses 14.- Determinar el monto a obtener por las siguientes colocaciones de interés compuesto: M - 1 i = C n i = 49650.30 -1 46620 = 0.065 5 5 i = 0.013 =1.3% M - 1 n = C i n = 17002.70 -1 15950 = 0.066 0.011 0.011 n = 6 meses M - 1 n = C i n = 40000 -1 25000 = 0. 6 0.2 0.2 n = 3 años M - 1 n = C i n = 32984.16 -1 31235 = 0.056 0.008 0.008 n = 7 meses
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13 a).- Determina el monto: DATOS SOLUCION C = $ 35000 M = C (1+i) n n = 8 meses M = 35000 (1+0.02) 8 i = 2% anual = 0.02 M = 41008.08 b).- Determina el monto: DATOS SOLUCION C = $ 12825 M = C (1+i) n n = 3 años M = 12825 (1+0.15) 3 i = 15% anual = 0.15 M = 19505.22 c).- Determina el monto: DATOS SOLUCION C = $ 81900 M = C (1+i) n n =7 meses M = 81900 (1+0.01) 7 i = 1% mensual = 0.01 M = 87807.89 d).- Determinar el capital inicial: DATOS SOLUCION M = $ 22497.28 i = 4% trimestral = 0.04 n = 3 trimestres C = ? e).- Determinar el capital inicial: DATOS SOLUCION M = $ 72107.16 i = 15% Semestral = 0.15 n = 5 Semestres C = ? f).- Determinar el capital inicial: DATOS SOLUCION M = $ 11716.59 i = 2% bimestral = 0.02 M C = (1+i) n C = 22497.28 (1+0.04) 3 C = 20000 M C = (1+i) n C = 72107.16 (1+0.15) 5 C = 35850 M C = (1+i) n C = 11716.59 (1+0.02) 8 C = 10000
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14 n = 8 bimestral C = ? g).- Determinar la tasa: DATOS SOLUCION M= $ 24002.98 C= $ 23250 n= 4 meses i = mensual h).- Determinar la tasa: DATOS SOLUCION M= $ 82057.86 C= $ 60000 n= 3 anual i = ? i).- Determina el periodo: DATOS SOLUCION M = $ 34788.57 C = 24400 i = 3% bimestral = 0.03 n = bimestral j).- Determina el periodo: DATOS M = $ 80293.53 C = 60000 i = n M C 1 i = 4 24002.98 23250 1 i= 0.080 = 8% i = n M C 1 i = 3 82057.86 60000 1 i= 0.11= 11% n = LogM – logC Log(1+ i) n = Log 34788.57 – log 24400 Log (1+ 0.03) n = 12 BIMESTRES n = LogM – logC Log(1+ i) n = 80293.53 – log 60000 Log (1+ 0.06) n = 5 SEMESTRES
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15 i = 6% semestral = 0.06 n = semestral j).- Determina el periodo: DATOS SOLUCION M = $ 59153.66 C = 46750 i = 4% Trimestral = 0.06 n = Trimestral 15.- Un capital de 20000 nuevos soles ha sido colocado al 6% trimestral de interés compuesto ¿Hallar los valores del monto y del interés compuesto que se obtiene un plazo de 15 trimestres? DATOS SOLUCION C = 20000 M = C (1+i) n n = 15 trimestres M = 20000 (1+0.06) 15 i = 6% trimestral = 0.06 M = 48864.39 I = 48864.39 - 20000 =28864.39 Rpta.: EL MONTO ES S/. 48864.39 Y EL INTERES S/. 28864.39 16.- Un capital de 25,000 nuevos soles fue colocado a interés compuesto durante 18 meses en las condiciones siguientes: Hallar el valor del monto al final del periodo a) 6 meses al 3% mensual DATOS SOLUCION C = 25000 M = C (1+i) n n = 6 meses *12= 72 M = 25000 (1+ (0.03/12)) 72 i = 3% mensual =0.03/12 M = 29923.71 b) 4 meses al 5% mensual DATOS SOLUCION C = 29923.71 M = C (1+i) n n = 4 meses * 12= 48 M = 29923.71 (1+ (0.05/12)) 48 i = 5% mensual = 0.05/12 M = 36533.72
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  • Winter '15
  • WILSON
  • Día, Vida, Interés, Tasa de interés, Ahorro

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