1. Avalição de Investimentos
Adriano Leal Bruni (albruni@minhasaulas.com.br)
Respostas do livro
Capítulo 7
www.MinhasAulas.com.br

2. TMA Respostas: VFL
PBS 0.77 VPL 6.00 VUL
PBD 0.77 TIR 30.0000% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 (20.00) (20.00) (20.00) (20.00)
1 26.00 6.00 0.77 26.00 6.00
2 6.00 - 6.00
3 6.00 - 6.00
4 6.00 - 6.00
5 6.00 - 6.00
6 6.00 - 6.00
7 6.00 - 6.00
8 6.00 - 6.00
9 6.00 - 6.00
10 6.00 - 6.00
Soma

3. 6.00
6.00
1.30
PBD
0.77

4. TMA Respostas: VFL
PBS 0.80 VPL 200.00 VUL
PBD 0.80 TIR 25.0000% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 (800.00) (800.00) (800.00) (800.00)
1 1,000.00 200.00 0.80 1,000.00 200.00
2 200.00 - 200.00
3 200.00 - 200.00
4 200.00 - 200.00
5 200.00 - 200.00
6 200.00 - 200.00
7 200.00 - 200.00
8 200.00 - 200.00
9 200.00 - 200.00
10 200.00 - 200.00
Soma

5. 200.00
200.00
1.25
PBD
0.80

6. TMA Respostas: VFL
PBS 0.82 VPL 20.00 VUL
PBD 0.82 TIR 22.2222% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 (90.00) (90.00) (90.00) (90.00)
1 110.00 20.00 0.82 110.00 20.00
2 20.00 - 20.00
3 20.00 - 20.00
4 20.00 - 20.00
5 20.00 - 20.00
6 20.00 - 20.00
7 20.00 - 20.00
8 20.00 - 20.00
9 20.00 - 20.00
10 20.00 - 20.00
Soma

7. 20.00
20.00
1.22
PBD
0.82

8. TMA Respostas: VFL
PBS 1.54 VPL 12.00 VUL
PBD 1.54 TIR 30.0000% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 (20.00) (20.00) (20.00) (20.00)
1 6.00 (14.00) 1.00 6.00 (14.00)
2 26.00 12.00 0.54 26.00 12.00
3 12.00 - 12.00
4 12.00 - 12.00
5 12.00 - 12.00
6 12.00 - 12.00
7 12.00 - 12.00
8 12.00 - 12.00
9 12.00 - 12.00
10 12.00 - 12.00
Soma

9. 12.00
6.00
1.60
PBD
1.00
0.54

10. TMA Respostas: VFL
PBS 3.63 VPL 5,098.00 VUL
PBD 3.63 TIR 4.0000% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 (50,000.00) (50,000.00) (50,000.00) (50,000.00)
1 13,774.50 (36,225.50) 1.00 13,774.50 (36,225.50)
2 13,774.50 (22,451.00) 1.00 13,774.50 (22,451.00)
3 13,774.50 (8,676.50) 1.00 13,774.50 (8,676.50)
4 13,774.50 5,098.00 0.63 13,774.50 5,098.00
5 5,098.00 - 5,098.00
6 5,098.00 - 5,098.00
7 5,098.00 - 5,098.00
8 5,098.00 - 5,098.00
9 5,098.00 - 5,098.00
10 5,098.00 - 5,098.00
Soma

11. 5,098.00
1,274.50
1.10
PBD
1.00
1.00
1.00
0.63

12. TMA Respostas: VFL
PBS 4.62 VPL 23,831.38 VUL
PBD 4.62 TIR 8.0000% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 (80,000.00) (80,000.00) (80,000.00) (80,000.00)
1 17,305.23 (62,694.77) 1.00 17,305.23 (62,694.77)
2 17,305.23 (45,389.54) 1.00 17,305.23 (45,389.54)
3 17,305.23 (28,084.31) 1.00 17,305.23 (28,084.31)
4 17,305.23 (10,779.08) 1.00 17,305.23 (10,779.08)
5 17,305.23 6,526.15 0.62 17,305.23 6,526.15
6 17,305.23 23,831.38 17,305.23 23,831.38
7 23,831.38 - 23,831.38
8 23,831.38 - 23,831.38
9 23,831.38 - 23,831.38
10 23,831.38 - 23,831.38
Soma

13. 23,831.38
3,971.90
1.30
PBD
1.00
1.00
1.00
1.00
0.62

14. TMA Respostas: VFL
PBS 5.76 VPL 67,531.74 VUL
PBD 5.76 TIR 10.0000% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 (120,000.00) (120,000.00) (120,000.00) (120,000.00)
1 20,836.86 (99,163.14) 1.00 20,836.86 (99,163.14)
2 20,836.86 (78,326.28) 1.00 20,836.86 (78,326.28)
3 20,836.86 (57,489.42) 1.00 20,836.86 (57,489.42)
4 20,836.86 (36,652.56) 1.00 20,836.86 (36,652.56)
5 20,836.86 (15,815.70) 1.00 20,836.86 (15,815.70)
6 20,836.86 5,021.16 0.76 20,836.86 5,021.16
7 20,836.86 25,858.02 20,836.86 25,858.02
8 20,836.86 46,694.88 20,836.86 46,694.88
9 20,836.86 67,531.74 20,836.86 67,531.74
10 67,531.74 - 67,531.74
Soma

15. 67,531.74
7,503.53
1.56
PBD
1.00
1.00
1.00
1.00
1.00
0.76

16. TMA Respostas: VFL
PBS 2.62 VPL 8,589.30 VUL
PBD 2.62 TIR 7.0000% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 (60,000.00) (60,000.00) (60,000.00) (60,000.00)
1 22,863.10 (37,136.90) 1.00 22,863.10 (37,136.90)
2 22,863.10 (14,273.80) 1.00 22,863.10 (14,273.80)
3 22,863.10 8,589.30 0.62 22,863.10 8,589.30
4 8,589.30 - 8,589.30
5 8,589.30 - 8,589.30
6 8,589.30 - 8,589.30
7 8,589.30 - 8,589.30
8 8,589.30 - 8,589.30
9 8,589.30 - 8,589.30
10 8,589.30 - 8,589.30
Soma

17. 8,589.30
2,863.10
1.14
PBD
1.00
1.00
0.62

18. TMA Respostas: VFL
PBS 6.21 VPL 172,972.56 VUL
PBD 6.21 TIR 6.0000% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 (600,000.00) (600,000.00) (600,000.00) (600,000.00)
1 96,621.57 (503,378.43) 1.00 96,621.57 (503,378.43)
2 96,621.57 (406,756.86) 1.00 96,621.57 (406,756.86)
3 96,621.57 (310,135.29) 1.00 96,621.57 (310,135.29)
4 96,621.57 (213,513.72) 1.00 96,621.57 (213,513.72)
5 96,621.57 (116,892.15) 1.00 96,621.57 (116,892.15)
6 96,621.57 (20,270.58) 1.00 96,621.57 (20,270.58)
7 96,621.57 76,350.99 0.21 96,621.57 76,350.99
8 96,621.57 172,972.56 96,621.57 172,972.56
9 172,972.56 - 172,972.56
10 172,972.56 - 172,972.56
Soma

19. 172,972.56
21,621.57
1.29
PBD
1.00
1.00
1.00
1.00
1.00
1.00
0.21

20. TMA Respostas: VFL
PBS 3.61 VPL (27.90) VUL
PBD 3.61 TIR 11.9975% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 72.10 72.10 72.10 72.10
1 (20.00) 52.10 1.00 (20.00) 52.10
2 (20.00) 32.10 1.00 (20.00) 32.10
3 (20.00) 12.10 1.00 (20.00) 12.10
4 (20.00) (7.90) 0.61 (20.00) (7.90)
5 (20.00) (27.90) (20.00) (27.90)
6 (27.90) - (27.90)
7 (27.90) - (27.90)
8 (27.90) - (27.90)
9 (27.90) - (27.90)
10 (27.90) - (27.90)
Soma

21. (27.90)
(5.58)
1.39
PBD
1.00
1.00
1.00
0.61

22. 10% 8
20% -12
Dif 10% -20
Resp: 14.00%

23. Ano FC
0 (800.00) tma vpl
1 250.00 0% 582.81 700.00
2 156.25 5% 423.41
600.00
3 976.56 10% 290.11
15% 177.64 500.00
20% 81.98 400.00
25% (0.00) 300.00
30% (70.74) 200.00
35% (132.17)
100.00
40% (185.82)
-
(100.00)
(200.00)
(300.00)
0% 5% 10% 15% 20% 25% 30%

24. % 20% 25% 30% 35% 40% 45%

25. A soma a valor presente dos fluxos dos anos 1 e 2 deve ser igual a 500
500 = 330/1,1 + x/(1,1^2)
x = 200 x 1,1^2 = 242.00

26. a) 180-100(1+i) = 30
i= 50%
b) A Tir é a taxa de rentabilidade da operação
80.00%

27. TMA Respostas: VFL
PBS 2.25 VPL (150.00) VUL
PBD 2.25 TIR 11.4179% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 650.00 650.00 650.00 650.00
1 (240.00) 410.00 1.00 (240.00) 410.00
2 (360.00) 50.00 1.00 (360.00) 50.00
3 (200.00) (150.00) 0.25 (200.00) (150.00)
4 (150.00) - (150.00)
5 (150.00) - (150.00)
6 (150.00) - (150.00)
7 (150.00) - (150.00)
8 (150.00) - (150.00)
9 (150.00) - (150.00)
10 (150.00) - (150.00)
Soma

28. (150.00)
(50.00)
1.23
PBD
1.00
1.00
0.25

29. TMA Respostas: VFL
10% PBS 2.50 VPL 75.53 VUL
PBD 2.94 TIR 40.3858% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 (60.00) (60.00) (60.00) (60.00)
1 20.00 (40.00) 1.00 18.18 (41.82)
2 25.00 (15.00) 1.00 20.66 (21.16)
3 30.00 15.00 0.50 22.54 1.38
4 35.00 50.00 23.91 25.29
5 40.00 90.00 24.84 50.12
6 45.00 135.00 25.40 75.53
7 135.00 - 75.53
8 135.00 - 75.53
9 135.00 - 75.53
10 135.00 - 75.53
Soma

30. 133.80
17.34
2.26
PBD
1.00
1.00
0.94

31. TMA Respostas: VFL
PBS 1.78 VPL 240.00 VUL
PBD 1.78 TIR 58.0963% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 (75.00) (75.00) (75.00) (75.00)
1 40.00 (35.00) 1.00 40.00 (35.00)
2 45.00 10.00 0.78 45.00 10.00
3 50.00 60.00 50.00 60.00
4 55.00 115.00 55.00 115.00
5 60.00 175.00 60.00 175.00
6 65.00 240.00 65.00 240.00
7 240.00 - 240.00
8 240.00 - 240.00
9 240.00 - 240.00
10 240.00 - 240.00
Soma

32. 240.00
40.00
4.20
PBD
1.00
0.78

33. TMA Respostas: VFL
PBS 1.67 VPL 160.00 VUL
PBD 1.67 TIR 60.1253% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 (50.00) (50.00) (50.00) (50.00)
1 30.00 (20.00) 1.00 30.00 (20.00)
2 30.00 10.00 0.67 30.00 10.00
3 30.00 40.00 30.00 40.00
4 40.00 80.00 40.00 80.00
5 40.00 120.00 40.00 120.00
6 40.00 160.00 40.00 160.00
7 160.00 - 160.00
8 160.00 - 160.00
9 160.00 - 160.00
10 160.00 - 160.00
Soma

34. 160.00
26.67
4.20
PBD
1.00
0.67

35. TMA Respostas: VFL
12% PBS - VPL 132.29 VUL
PBD - TIR 24.0381% IL
Ano FC Saldo Simples PBS VP (FC) Saldo Desc
0 - - - -
1 180.00 180.00 - 160.71 160.71
2 100.00 280.00 79.72 240.43
3 50.00 330.00 35.59 276.02
4 (1,800.00) (1,470.00) (1,143.93) (867.91)
5 600.00 (870.00) 340.46 (527.45)
6 500.00 (370.00) 253.32 (274.14)
7 400.00 30.00 180.94 (93.20)
8 300.00 330.00 121.16 27.97
9 200.00 530.00 72.12 100.09
10 100.00 630.00 32.20 132.29
Soma
Step 5%
140
132.29
0% 132.29
120
5% 132.29
10% 132.29
100
15% 132.29
20% 132.29
25% 132.29 80
30% 132.29
35% 132.29 60
40% 132.29
45% 132.29 40
50% 132.29
55% 132.29 20
60% 132.29
65% 132.29 0
70% 132.29 0% 10% 20% 30% 40% 50% 60% 70

36. 410.86
23.41
#DIV/0!
PBD
-
50% 60% 70% 80%

37. TMA
16.17%
Ano
0
1
2
3
4
5
6
7
8
9
10
Soma
3000
Descrição Período 0 Período 1
(+) Receitas 12,000.00
(-) Custos e despesas variáveis (4,200.00)
(-) Custos e despesas fixos (exceto depreciação) (1,800.00)
(-) Depreciação (1,200.00)
= Lucro Operacional Tributável - 4,800.00
(-) IR (1,440.00)
= Lucro Líquido Operacional - 3,360.00
(+) Depreciação - 1,200.00
= FCO (Fluxo de Caixa Operacional) - 4,560.00
(+/-) Investimento ou desinvestimentos líquidos em equipamentos (3,600.00)
(+/-) Investimentos ou desinvestimentos em capital de giro
= FCL (Fluxo de Caixa Livre) (3,600.00) 4,560.00
Cálculo da TMA $ K
3000 0.15
600 0.22
TMA

38. Respostas: VFL 12,700.15
PBS 0.79 VPL 8,101.48 VUL 3,617.10
PBD 0.92 TIR 124% IL 3.25
FC Saldo Simples PBS VP (FC) Saldo Desc PBD
(3,600.00) (3,600.00) (3,600.00) (3,600.00)
4,560.00 960.00 0.79 3,925.39 325.39 0.92
4,924.00 5,884.00 3,648.84 3,974.24
6,470.00 12,354.00 4,127.24 8,101.48
12,354.00 - 8,101.48
12,354.00 - 8,101.48
12,354.00 - 8,101.48
12,354.00 - 8,101.48
12,354.00 - 8,101.48
12,354.00 - 8,101.48
12,354.00 - 8,101.48
3200 3500
Período 2 Período 3
12,800.00 14,000.00
(4,480.00) (4,900.00)
(1,800.00) (1,800.00)
(1,200.00) (1,200.00)
5,320.00 6,100.00
(1,596.00) (1,830.00)
3,724.00 4,270.00
1,200.00 1,200.00
4,924.00 5,470.00
1,000.00
4,924.00 6,470.00
$.K
450
132
582
16.17%

39. TMA
22.00%
Ano
0
1
2
3
4
5
6
7
8
9
10
Soma
3000
Descrição Período 0 Período 1
(+) Receitas 12,000.00
(-) Custos e despesas variáveis (4,200.00)
(-) Custos e despesas fixos (exceto depreciação) (1,800.00)
(-) Depreciação (1,200.00)
= Lucro Operacional Tributável - 4,800.00
(-) IR (1,440.00)
= Lucro Líquido Operacional - 3,360.00
(+) Depreciação - 1,200.00
= FCO (Fluxo de Caixa Operacional) - 4,560.00
(+/-) Investimento ou desinvestimentos líquidos em equipamentos (3,600.00)
(+/-) Investimentos ou desinvestimentos em capital de giro
= FCL (Fluxo de Caixa Livre) (3,600.00) 4,560.00
(+/-) Empréstimo (principal) 3,000.00 (1,000.00)
(-) Juros (600.00)
(+) Benefício fiscal de juros 180.00
= FCL (Fluxo de Caixa do Sócio) (600.00) 3,140.00
Cálculo da TMA $ K
600 0.22
TMA

40. Respostas: VFL 13,359.75
PBS 0.19 VPL 7,357.30 VUL 3,602.56
PBD 0.23 TIR 540% IL 13.26
FC Saldo Simples PBS VP (FC) Saldo Desc PBD
(600.00) (600.00) (600.00) (600.00)
3,140.00 2,540.00 0.19 2,573.77 1,973.77 0.23
3,644.00 6,184.00 2,448.27 4,422.04
5,330.00 11,514.00 2,935.27 7,357.30
11,514.00 - 7,357.30
11,514.00 - 7,357.30
11,514.00 - 7,357.30
11,514.00 - 7,357.30
11,514.00 - 7,357.30
11,514.00 - 7,357.30
11,514.00 - 7,357.30
3200 3500
Período 2 Período 3
12,800.00 14,000.00
(4,480.00) (4,900.00)
(1,800.00) (1,800.00)
(1,200.00) (1,200.00)
5,320.00 6,100.00
(1,596.00) (1,830.00)
3,724.00 4,270.00
1,200.00 1,200.00
4,924.00 5,470.00
1,000.00
4,924.00 6,470.00
(1,000.00) (1,000.00)
(400.00) (200.00)
120.00 60.00
3,644.00 5,330.00
$.K
0
22.00%