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VE = 45,000.00 d = 4% t = 6 meses
Desarrollo = = = =
1 − 45,000.00 1 − (0.0 (0.04)(6 4)(6)) 45,000.00 1 − 0.24 0.24 45,000.00 0.76
P = 59,210.53 15. 15. Banco d e los Cafetaleros Cafetaleros realiza prestamito s para sacar l a cosecha de café. Cobran los intereses por anticipado, si el caso consiste en que soli cit amos Lps 80,00 80,000 0 y recibimo s Lps 77,5 77,500 00 con el compro miso de pago al cabo de tres meses. ¿Qué tasa mensual de descuento nos aplican en este caso? Lp s. 1.04 1.04167% 167% VE = 77,500.00 P = 80,000.00 t = 3 meses
=
=
− ∗ 80,00 80,000.0 0.00 0 − 77,5 77,500. 00.00 00 80,000.00 ∗ 3
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17. Al termino de 6 meses terminamos pagando (Capital más Interese) la cantidad de Lps 23.700 al haber adquirido un refrigerador a plazos en comercial el “bombito”, si la tasa que nos aplicaron es del 47.5% anual. . . ,, . . ¿Cuál ¿Cuál era el precio de cont ado del arti arti cul o? =
47.5 = 0.039583 0.039583 12 100
= = = =
vf 1 + 23,700.00 1 + (0.0395 (0.039583)(6 83)(6)) 23,700.00 1 + 0.237 0.2375 5 23,700.00 1.2375
= 19,151.515
18. Al termino de 9 meses terminamos pagando (Capital más Interese) la cantidad de Lps 35,738.00 al haber adquirido una Moto a plazos en ¿Cuál “KATRA MOTOS”, si la tasa que nos aplic aron es del 16% tri mestral. ¿Cuál era el precio de con tado de la moto? Lp s. 26,277.94 26,277.94 =
16 = 0.04 4 100
= = =
vf 1 + 35,738.00 1 + (0.04) (0.04)(9) (9) 35,738.00 1 + 0.36 0.36 35,738.00
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= =
24,650.0 24,650.00 0 − 17,500. 17,500.00 00 17,500.00(6) ,.
= 0.068095
,.
20. Para el problema 19. ¿Durante cuantos meses se contrajo el compromiso de pago si se cambia la tasa de intereses simple a un 4% mensual? 10 10.21 .21,, un apro aproxi ximado mado de 10 meses y 6 d ías = = =
vf − vp () 24,650.0 24,650.00 0 − 17,500.0 17,500.00 0 17,500.00(0.04) ,.
= 10.21
