Séries de pagamentos; Análise de investimentos

R$ 1.913,37

Devemos determinar o valor de cada parcela a ser paga e para isso realizaremos os cálculos abaixo:

\(\begin{align} & \left[ x{{\left( 1,025 \right)}^{6}}+x{{\left( 1,025 \right)}^{4}}+x \right]/{{\left( 1,025 \right)}^{9}}=5000 \\ & \left[ x{{\left( 1,025 \right)}^{6}}+x{{\left( 1,025 \right)}^{4}}+x \right]=5000{{(1,025)}^{9}} \\ & 1,15x+1,1x+x=5000\cdot 1,24 \\ & 1,15x+1,1x+x=6244 \\ & \\ & 1,15x+1,1x+x=3,26x \\ & 3,26x=6244 \\ & x=\frac{6244}{3,26} \\ & x=1913,37 \\ & x=R\$1913,37\\\end{align}\ \)

Portanto, o valor da parcela será R$1913,37.