How much money will I have after 10 years in a trust if I dedicate myself to saving UM 1,100.00 monthly and the bank offers 4.5% annual interest compounded monthly?



Answer to a math question How much money will I have after 10 years in a trust if I dedicate myself to saving UM 1,100.00 monthly and the bank offers 4.5% annual interest compounded monthly?

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¡Absolutamente! Aquí hay un cálculo paso a paso de cómo crecerán sus ahorros: **1. Calcule la tasa de interés mensual:** *Dividimos el tipo de interés anual entre 12: 4,5% / 12 = 0,375% **2. Convierta la tasa de interés mensual a decimal:** *Dividir el porcentaje entre 100: 0,375% / 100 = 0,00375 **3. Calcular el número total de meses:** * Multiplica el número de años por 12: 10 años * 12 meses/año = 120 meses **4. Utilice el valor futuro de una fórmula de anualidad ordinaria:** ``` FV = P * [(1 + r)^n - 1] / r ``` Dónde: * FV = Valor Futuro (monto total después de 10 años) * P = Pago mensual (UM 1.100,00) * r = Tasa de interés mensual (0,00375) * n = Número de meses (120) **5. Introduzca los valores y calcule:** ``` VF = 1100 * [(1 + 0,00375)^120 - 1] / 0,00375 VF = 1100 * [1,565681 - 1] / 0,00375 VF = 1100 * 0,565681 / 0,00375 VF = 166941,57 ``` **Por lo tanto, después de 10 años de ahorrar UM 1,100.00 mensuales con una tasa de interés anual de 4.5% capitalizable mensualmente, tendrás aproximadamente UM 166,941.57 en tu fideicomiso.**

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