periodo engenharia economica

109.540,48

Para encontrarmos o valor presente líquido, realizaremos os cálculos abaixo:

\(\begin{align} & VPL=\sum\limits_{t=1}^{n}{\frac{FC}{{{(1+i)}^{t}}}} \\ & VPL=\frac{F{{C}_{1}}}{{{(1+i)}^{t}}}+\frac{F{{C}_{2}}}{{{(1+i)}^{t}}}+\frac{F{{C}_{3}}}{{{(1+i)}^{t}}}+\frac{F{{C}_{4}}}{{{(1+i)}^{t}}} \\ & VPL=\frac{310000}{{{(1+0,16)}^{1}}}+\frac{340000}{{{(1+0,16)}^{2}}}+\frac{350000}{{{(1+0,16)}^{3}}}+\frac{390000}{{{(1+0,16)}^{4}}} \\ & VPL=\frac{310000}{{{(1,16)}^{1}}}+\frac{340000}{{{(1,16)}^{2}}}+\frac{350000}{{{(1,16)}^{3}}}+\frac{390000}{{{(1,16)}^{4}}} \\ & VPL=\frac{310000}{(1,16)}+\frac{340000}{1,34}+\frac{350000}{(1,56)}+\frac{390000}{1,81} \\ & VPL=959540,4 \\ & VPL=R\$959540,4\\\end{align}\ \)

Portanto, o valor presente líquido será :

\(\begin{align} & VPL=R\$959540,4\\\end{align}\ \)

MUITISSIMO OBRIGADA !!!