Question
Financial mathematics 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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Answer to a math question Financial mathematics 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?
Miles
4.9108 Answers
Solución:
El valor futuro de una anualidad ordinaria está dado por
FV=\frac{PMT}{\frac{r}{n}}\left(\left(1+\frac{r}{n}\right)^{nt}-1\right)
dónde
FV es el valor futuro,
PMT son los pagos,
r es la tasa de interés por período en decimal,
n es el número de capitalizaciones por período, y
t es el número de períodos.
Dado PMV=1100, n=12, t=10 y r=0,045,
$$ FV=\frac{1100}{\frac{0.045}{12}}\left(\left(1+\frac{0.045}{12}\right)^{12\cdot10}-1\right) $ $
FV\aproximadamente166317,88
Respuesta: UM166.317,88
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