EXERCÍCIO DA AULA 3 VPL

Prévia do material em texto

VPL com 10% a.a. 
 
𝑉𝑃𝐿𝐴 = −1500 +
150
(1 + 10%)1
+
1350
(1 + 10%)2
+
150
(1 + 10%)3
+
−150
(1 + 10%)4
+
−600
(1 + 10%)5
 
𝑉𝑃𝐿𝐴 = −1500 + 136,36 + 1.115,70 + 112,70 − 102,45 − 372,55 
𝑉𝑃𝐿𝐴 = −610,24 
 
𝑉𝑃𝐿𝐵 = −1500 +
0
(1 + 10%)1
+
0
(1 + 10%)2
+
450
(1 + 10%)3
+
1.050
(1 + 10%)4
+
1.950
(1 + 10%)5
 
𝑉𝑃𝐿𝐵 = −1500 + 0 + 0 + 338,09 + 717,16 + 1.210,80 
𝑉𝑃𝐿𝐵 = 766,05 
 
𝑉𝑃𝐿𝐶 = −1500 +
150
(1 + 10%)1
+
300
(1 + 10%)2
+
450
(1 + 10%)3
+
600
(1 + 10%)4
+
1.875
(1 + 10%)5
 
𝑉𝑃𝐿𝐶 = −1500 + 136,36 + 247,93 + 338,09 + 409,81 + 1.164,23 
𝑉𝑃𝐿𝐶 = 796,42 
 
𝑉𝑃𝐿𝐷 = −1500 +
300
(1 + 10%)1
+
450
(1 + 10%)2
+
750
(1 + 10%)3
+
750
(1 + 10%)4
+
900
(1 + 10%)5
 
𝑉𝑃𝐿𝐷 = −1500 + 272,73 + 371,90 + 563,49 + 512,26 + 558,83 
𝑉𝑃𝐿𝐷 = 779,20 
 
 
 
 
 
 
 
 
 
 
 
 
VPL com 20% a.a. 
 
𝑉𝑃𝐿𝐴 = −1500 +
150
(1 + 20%)1
+
1350
(1 + 20%)2
+
150
(1 + 20%)3
+
−150
(1 + 20%)4
+
−600
(1 + 20%)5
 
𝑉𝑃𝐿𝐴 = −1500 + 125 + 937,50 + 86,81 − 72,34 − 241,13 
𝑉𝑃𝐿𝐴 = −664,16 
 
𝑉𝑃𝐿𝐵 = −1500 +
0
(1 + 20%)1
+
0
(1 + 20%)2
+
450
(1 + 20%)3
+
1.050
(1 + 20%)4
+
1.950
(1 + 20%)5
 
𝑉𝑃𝐿𝐵 = −1500 + 0 + 0 + 260,42 + 506,37 + 783,66 
𝑉𝑃𝐿𝐵 = 50,44 
 
𝑉𝑃𝐿𝐶 = −1500 +
150
(1 + 20%)1
+
300
(1 + 20%)2
+
450
(1 + 20%)3
+
600
(1 + 20%)4
+
1.875
(1 + 20%)5
 
𝑉𝑃𝐿𝐶 = −1500 + 125 + 208,33 + 260,42 + 289,35 + 753,52 
𝑉𝑃𝐿𝐶 = 136,62 
 
𝑉𝑃𝐿𝐷 = −1500 +
300
(1 + 20%)1
+
450
(1 + 20%)2
+
750
(1 + 20%)3
+
750
(1 + 20%)4
+
900
(1 + 20%)5
 
𝑉𝑃𝐿𝐷 = −1500 + 250 + 312,50 + 434,03 + 361,69 + 361,69 
𝑉𝑃𝐿𝐷 = 219,91 
 
 
 
 
 
 
 
 
 
 
 
 
TIR 
 
Projeto A: o fluxo troca de sinal mais de uma vez, portanto não há sentido em calcular a TIR. 
 
Projeto B 
−1500 +
0
(1 + i)1
+
0
(1 + i)2
+
450
(1 + i)3
+
1.050
(1 + i)4
+
1.950
(1 + i)5
= 0 
𝑖 = 20,9% 
 
−1500 +
150
(1 + i)1
+
300
(1 + i)2
+
450
(1 + i)3
+
600
(1 + i)4
+
1.875
(1 + i)5
= 0 
𝑖 = 22,8% 
 
−1500 +
300
(1 + i)1
+
450
(1 + i)2
+
750
(1 + i)3
+
750
(1 + i)4
+
900
(1 + i)5
= 0 
𝑖 = 25,4%