Question
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  • A qué tasa anual se triplica un capital en 5 años?

Ask by Colon Mccarthy. in Colombia
Mar 27,2025

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Tutor-Verified Answer

Answer

La tasa anual es aproximadamente 24.57%.

Solution

Planteamos la ecuación basada en el interés compuesto:
donde es la tasa anual en forma decimal. Para despejar , aplicamos la raíz quinta en ambos lados:
restando 1 obtenemos:
Calculando numéricamente:
entonces:
Esto significa que la tasa anual es aproximadamente .

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Extra Insights

Para triplicar un capital en 5 años, se puede aplicar la regla del 72, una fórmula rápida que permite estimar la tasa de interés necesaria. Dividiendo 72 entre los años (5), obtenemos que la tasa de interés aproximada debe ser de 14,4% anual. Sin embargo, usando el cálculo de interés compuesto, la tasa que realmente lograría triplicar el capital sería de aproximadamente 24,57% anual, reflejando la magia del interés compuesto. ¡Invertir con sabiduría puede hacer que tu dinero trabaje tan duro como tú!
¡Imagina tener tu dinero trabajando para ti! Los fondos de inversión, acciones e incluso algunos bonos pueden ofrecer tasas de rendimiento altísimas, si eliges invertir en el lugar correcto. Sin embargo, siempre se debe considerar la relación riesgo-rendimiento, ya que tasas de interés elevadas a menudo implican riesgos. Abrir una cuenta de ahorros o explorar inversiones diversificadas puede ayudarte a alcanzar tus metas financieras. ¡Es tu dinero, haz que crezca!

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