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ElenaW [278]
2 years ago
6

Un inversionista desea comprar acciones de dos tipos. Las de tipo A generan un interés simple a razón de una tasa de 0,5 % mensu

al; mientras que las de tipo B producen un interés compuesto del 0,3 % mensual capitalizable trimestralmente. Si se invierten S/10 000 en acciones del tipo A, ¿cuánto de ganancia se obtendrá al cabo de seis meses? ¿Cuánto se debe invertir en acciones del tipo B para que al cabo de seis meses se obtenga una ganancia de S/876,00? ¿A qué tasa de interés compuesto anual la utilidad en un año es la misma para los dos tipos de acciones?
Mathematics
1 answer:
qwelly [4]2 years ago
3 0

Answer:

Si se invierten S/10 000 en acciones del tipo A, ¿cuánto de ganancia se obtendrá al cabo de seis meses?

$10,000 x 0.5% x 6 = $300

¿Cuánto se debe invertir en acciones del tipo B para que al cabo de seis meses se obtenga una ganancia de S/876,00?

interes compuesto = 0.9% trimestral

X · (1 + 0.009)² = X + $876

1.018081X = X + $876

0.018081X = $876

X = $876 / 0.018081 = $48,448.65

¿A qué tasa de interés compuesto anual la utilidad en un año es la misma para los dos tipos de acciones?

$1 x 106% = $1 x (1 + i)⁴

$1.06 = $1 x (1 + i)⁴

(1 + i)⁴ = $1.06 / $1 = 1.06

⁴√(1 + i)⁴ = ⁴√1.06

1 + i = 1.01467

i = 0.01467 = 1.467% trimestral

0.489% mensual capitablizable trimestralmente

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