Question

Calcule o valor da taxa anual composta equivalente 5%a.m

Answer 1

Resposta:

Taxa anual equivalente é de 79,585632602%.

Explicação passo-a-passo:

Vamos aplicar a fórmula de taxa equivalente.

$T_{Quero}=\left\{\left[\left(1+\dfrac{T_{Tenho}}{100}\right)^{\dfrac{Prazo_{\ quero}}{Prazo_{\ tenho}}}\right]-1\right\}\ .\ 100\\\\T_{Ano}=\left\{\left[\left(1+\dfrac{T_{M\^{e}s}}{100}\right)^{\dfrac{Prazo_{\ Ano}}{Prazo_{\ M\^{e}s}}}\right]-1\right\}\ .\ 100\\\\T_{Ano}=\left\{\left[\left(1+\dfrac{5}{100}\right)^{\dfrac{12}{1}}\right]-1\right\}\ .\ 100\\\\T_{Ano}=\{[(1,05)^{12}]-1\}\ .\ 100\\\\T_{Ano}=\{1,79585632602-1\}\ .\ 100\\\\T_{Ano}=0,79585632602-1\ .\ 100\\\\\boxed{T_{Ano}=79,585632602\%}$

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