matematica financeira

PMT = VP [(1 + i)^n-1 x i / (1 + i)^n - 1]

PMT = 1812,16 [(1,07)^3 x 0,07 /(1,07)^4 - 1]

PMT = 1812,16 x 0,08575301/0,31079601

PMT = 1812,16 x 0,275914127

PMT = 500,00

Para encontrarmos o valor de cada prestação, realizaremos os cálculos abaixo:

\(\begin{align} & n=6 \\ & i=7a.m. \\ & S=\$1812,16\\&\\&S=P\left(\frac{1}{1+in}\right)\\&1812,16=P\left(\frac{1}{1+0,07}+\frac{1}{1+0,14}+\frac{1}{1+0,21}+\frac{1}{1+0,28}+\frac{1}{1+0,35}+\frac{1}{1+0,42}\right)\\&1812,16=P\left(\frac{1}{1,07}+\frac{1}{1,14}+\frac{1}{1,21}+\frac{1}{1,28}+\frac{1}{1,35}+\frac{1}{1,42}\right)\\&1812,16=P\left(0,93+0,87+0,82+0,78+0,74+0,70\right)\\&1812,16=P(4,84)\\&P=\frac{1812,16}{4,84}\\&P=\$374,41\\\end{align}\ \)

Portanto, cada prestação será de R$374,41.