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Avalição de Investimentos
Adriano Leal Bruni (albruni@minhasaulas.com.br)


Respostas do livro
Capítulo 7


www.MinhasAulas.com.br
TMA Respostas:                                                          VFL
     4%          PBS           4.00           VPL     10,000.01           VUL
                PBD            4.45           TIR           16%             IL

  Ano        FC        Saldo Simples   PBS            VP (FC)     Saldo Desc
    0    (20,000.00)    (20,000.00)                 (20,000.00)   (20,000.00)
    1     4,998.29      (15,001.71)    1.00          4,806.05     (15,193.95)
    2     4,998.29      (10,003.42)    1.00          4,621.20     (10,572.75)
    3     4,998.29       (5,005.13)    1.00          4,443.46      (6,129.29)
    4     4,998.29          (6.84)     1.00          4,272.56      (1,856.73)
    5     4,998.29        4,991.45     0.00          4,108.23       2,251.50
    6     4,998.29        9,989.74                   3,950.22       6,201.72
    7     4,998.29       14,988.03                   3,798.29      10,000.01
    8                    14,988.03                       -         10,000.01
    9                    14,988.03                       -         10,000.01
   10                    14,988.03                       -         10,000.01
Soma
13,159.33
 1,666.10
     1.50

 PBD

 1.00
 1.00
 1.00
 1.00
 0.45
TMA Respostas:                                                           VFL
     5%          PBS           5.86           VPL     (7,999.99)           VUL
                PBD           10.00           TIR            1%              IL

  Ano         FC       Saldo Simples   PBS            VP (FC)      Saldo Desc
    0    (60,000.00)    (60,000.00)                 (60,000.00)    (60,000.00)
    1     10,244.91     (49,755.09)    1.00          9,757.06      (50,242.94)
    2     10,244.91     (39,510.18)    1.00          9,292.44      (40,950.51)
    3     10,244.91     (29,265.27)    1.00          8,849.94      (32,100.57)
    4     10,244.91     (19,020.36)    1.00          8,428.51      (23,672.06)
    5     10,244.91      (8,775.45)    1.00          8,027.16      (15,644.90)
    6     10,244.91       1,469.46     0.86          7,644.91       (7,999.99)
    7                     1,469.46                       -          (7,999.99)
    8                     1,469.46                       -          (7,999.99)
    9                     1,469.46                       -          (7,999.99)
   10                     1,469.46                       -          (7,999.99)
Soma
(10,720.75)
 (1,576.14)
      0.87

  PBD

  1.00
  1.00
  1.00
  1.00
  1.00
  1.00
  1.00
  1.00
  1.00
  1.00
TMA Respostas:                                                           VFL
     6%          PBS          10.00           VPL     (5,000.00)           VUL
                PBD           10.00           TIR           -6%              IL

  Ano         FC       Saldo Simples   PBS            VP (FC)      Saldo Desc
    0    (30,000.00)    (30,000.00)                 (30,000.00)    (30,000.00)
    1     13,635.92     (16,364.08)    1.00          12,864.08     (17,135.92)
    2     13,635.92      (2,728.16)    1.00          12,135.92      (5,000.00)
    3                    (2,728.16)    1.00              -          (5,000.00)
    4                    (2,728.16)    1.00              -          (5,000.00)
    5                    (2,728.16)    1.00              -          (5,000.00)
    6                    (2,728.16)    1.00              -          (5,000.00)
    7                    (2,728.16)    1.00              -          (5,000.00)
    8                    (2,728.16)    1.00              -          (5,000.00)
    9                    (2,728.16)    1.00              -          (5,000.00)
   10                    (2,728.16)    1.00              -          (5,000.00)
Soma
(5,618.00)
(2,727.19)
     0.83

 PBD

1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
TMA Respostas:                                                         VFL
    12%          PBS           2.38           VPL         4.38           VUL
                PBD            2.97           TIR          13%             IL

  Ano         FC       Saldo Simples   PBS          VP (FC)      Saldo Desc
    0      (500.00)       (500.00)                  (500.00)      (500.00)
    1       210.00        (290.00)     1.00          187.50       (312.50)
    2       210.00         (80.00)     1.00          167.41       (145.09)
    3       210.00         130.00      0.38          149.47         4.38
    4                      130.00                      -            4.38
    5                      130.00                      -            4.38
    6                      130.00                      -            4.38
    7                      130.00                      -            4.38
    8                      130.00                      -            4.38
    9                      130.00                      -            4.38
   10                      130.00                      -            4.38
Soma
6.16
      1.83
      1.01

PBD

1.00
1.00
0.97
TMA Respostas:                                                        VFL
    10%          PBS              -          VPL    2,248.43            VUL
                PBD               -          TIR      Err:523             IL

  Ano        FC        Saldo Simples   PBS         VP (FC)      Saldo Desc
    0                        -                        -             -
    1      400.00         400.00       -           363.64         363.64
    2      400.00         800.00                   330.58         694.21
    3      400.00        1,200.00                  300.53         994.74
    4      400.00        1,600.00                  273.21        1,267.95
    5      200.00        1,800.00                  124.18        1,392.13
    6      200.00        2,000.00                  112.89        1,505.03
    7      200.00        2,200.00                  102.63        1,607.66
    8      200.00        2,400.00                   93.30        1,700.96
    9      200.00        2,600.00                   84.82        1,785.78
   10     1,200.00       3,800.00                  462.65        2,248.43
Soma
5,831.85
  365.92
 #DIV/0!

PBD

 -
TMA Respostas:                                                         VFL
    12%          PBS              -          VPL    14,645.49            VUL
                PBD               -          TIR       Err:523             IL

  Ano        FC        Saldo Simples   PBS          VP (FC)      Saldo Desc
    0                        -                        -              -
    1     5,000.00        5,000.00     -           4,464.29       4,464.29
    2     3,000.00        8,000.00                 2,391.58       6,855.87
    3     3,000.00       11,000.00                 2,135.34       8,991.21
    4     3,000.00       14,000.00                 1,906.55      10,897.76
    5     3,000.00       17,000.00                 1,702.28      12,600.04
    6     1,000.00       18,000.00                  506.63       13,106.67
    7     1,000.00       19,000.00                  452.35       13,559.02
    8     1,000.00       20,000.00                  403.88       13,962.91
    9     1,000.00       21,000.00                  360.61       14,323.52
   10     1,000.00       22,000.00                  321.97       14,645.49
Soma
45,486.67
 2,592.02
  #DIV/0!

 PBD

  -
TMA Respostas:                                                        VFL
     6%          PBS           3.25           VPL      200.18           VUL
                PBD            3.37           TIR         26%             IL

  Ano         FC       Saldo Simples   PBS          VP (FC)     Saldo Desc
    0      (300.00)       (300.00)                  (300.00)     (300.00)
    1       100.00        (200.00)     1.00           94.34      (205.66)
    2       100.00        (100.00)     1.00           89.00      (116.66)
    3         -           (100.00)     1.00             -        (116.66)
    4       400.00         300.00      0.25          316.84       200.18
    5                      300.00                       -         200.18
    6                      300.00                       -         200.18
    7                      300.00                       -         200.18
    8                      300.00                       -         200.18
    9                      300.00                       -         200.18
   10                      300.00                       -         200.18
Soma



Resp:         238.41
252.72
  57.77
   1.67

PBD

1.00
1.00
1.00
0.37
TMA Respostas:                                                          VFL
     3%          PBS           6.00           VPL     83,448.06           VUL
                PBD            6.41           TIR           15%             IL

  Ano         FC       Saldo Simples   PBS             VP (FC)    Saldo Desc
    0    (90,000.00)    (90,000.00)                 (90,000.00)   (90,000.00)
    1     10,000.00     (80,000.00)    1.00           9,708.74    (80,291.26)
    2     10,000.00     (70,000.00)    1.00           9,425.96    (70,865.30)
    3     10,000.00     (60,000.00)    1.00           9,151.42    (61,713.89)
    4     20,000.00     (40,000.00)    1.00          17,769.74    (43,944.15)
    5     20,000.00     (20,000.00)    1.00          17,252.18    (26,691.97)
    6     20,000.00          -         1.00          16,749.69     (9,942.28)
    7     30,000.00      30,000.00      -            24,392.75     14,450.46
    8     30,000.00      60,000.00                   23,682.28     38,132.74
    9     30,000.00      90,000.00                   22,992.50     61,125.24
   10     30,000.00     120,000.00                   22,322.82     83,448.06
Soma



Resp:      91,185.95
112,147.21
  9,782.66
      1.93

  PBD

  1.00
  1.00
  1.00
  1.00
  1.00
  1.00
  0.41
TMA Respostas:                                                        VFL
     4%          PBS           3.00           VPL      539.94           VUL
                PBD            3.22           TIR         30%             IL

  Ano         FC       Saldo Simples   PBS          VP (FC)     Saldo Desc
    0      (400.00)       (400.00)                  (400.00)     (400.00)
    1       120.00        (280.00)     1.00          115.38      (284.62)
    2       160.00        (120.00)     1.00          147.93      (136.69)
    3       120.00           -         1.00          106.68       (30.01)
    4       160.00         160.00       -            136.77       106.76
    5       120.00         280.00                     98.63       205.39
    6       160.00         440.00                    126.45       331.84
    7       120.00         560.00                     91.19       423.03
    8       160.00         720.00                    116.91       539.94
    9                      720.00                       -         539.94
   10                      720.00                       -         539.94
Soma
738.95
  80.20
   2.35

PBD

1.00
1.00
1.00
0.22
TMA Respostas:                                                         VFL
    25%          PBS           1.31           VPL       448.00           VUL
                PBD            1.78           TIR          34%             IL

  Ano         FC       Saldo Simples   PBS            VP (FC)    Saldo Desc
    0     (4,000.00)     (4,000.00)                 (4,000.00)    (4,000.00)
    1      3,000.00      (1,000.00)    1.00          2,400.00     (1,600.00)
    2      3,200.00       2,200.00     0.31          2,048.00       448.00
    3                     2,200.00                      -           448.00
    4                     2,200.00                      -           448.00
    5                     2,200.00                      -           448.00
    6                     2,200.00                      -           448.00
    7                     2,200.00                      -           448.00
    8                     2,200.00                      -           448.00
    9                     2,200.00                      -           448.00
   10                     2,200.00                      -           448.00
Soma
700.00
 311.11
   1.11

PBD

1.00
0.78
TMA   Respostas:                                                      VFL
   8%            PBS           2.60           VPL     3.16212           VUL
                 PBD           2.92           TIR         10%             IL

  Ano        FC        Saldo Simples   PBS          VP (FC)     Saldo Desc
    0      (95.00)         (95.00)                  (95.00)       (95.00)
    1       40.00          (55.00)     1.00          37.04        (57.96)
    2       25.00          (30.00)     1.00          21.43        (36.53)
    3       50.00           20.00      0.60          39.69         3.16
    4                       20.00                      -           3.16
    5                       20.00                      -           3.16
    6                       20.00                      -           3.16
    7                       20.00                      -           3.16
    8                       20.00                      -           3.16
    9                       20.00                      -           3.16
   10                       20.00                      -           3.16
Soma
3.98
      1.23
      1.03

PBD

1.00
1.00
0.92
TMA   Respostas:                                                          VFL
  20%                PBS           1.67           VPL     6.88735           VUL
                     PBD           2.11           TIR         71%             IL

  Ano         FC           Saldo Simples   PBS          VP (FC)     Saldo Desc
    0       (4.00)             (4.00)                    (4.00)        (4.00)
    1        2.00              (2.00)      1.00           1.67         (2.33)
    2        3.00               1.00       0.67           2.08         (0.25)
    3        4.00               5.00                      2.31          2.06
    4        5.00              10.00                      2.41          4.48
    5        6.00              16.00                      2.41          6.89
    6                          16.00                       -            6.89
    7                          16.00                       -            6.89
    8                          16.00                       -            6.89
    9                          16.00                       -            6.89
   10                          16.00                       -            6.89
Soma
17.14
   2.30
   2.72

PBD

1.00
1.00
0.11
TMA   Respostas:                                                      VFL
  12%            PBS           1.78           VPL   134.10715           VUL
                 PBD           2.10           TIR         58%             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          35.71        (39.29)
    2       45.00           10.00      0.78          35.87         (3.41)
    3       50.00           60.00                    35.59         32.18
    4       55.00         115.00                     34.95         67.13
    5       60.00         175.00                     34.05        101.18
    6       65.00         240.00                     32.93        134.11
    7                     240.00                       -          134.11
    8                     240.00                       -          134.11
    9                     240.00                       -          134.11
   10                     240.00                       -          134.11
Soma
264.70
  32.62
   2.79

PBD

1.00
1.00
0.10
TMA   Respostas:                                                       VFL
   7%            PBS           3.52           VPL       (3.32)           VUL
                 PBD          10.00           TIR          5%              IL

  Ano        FC        Saldo Simples   PBS          VP (FC)      Saldo Desc
    0      (88.00)         (88.00)                  (88.00)        (88.00)
    1       25.00          (63.00)     1.00          23.36         (64.64)
    2       25.00          (38.00)     1.00          21.84         (42.80)
    3       25.00          (13.00)     1.00          20.41         (22.39)
    4       25.00           12.00      0.52          19.07          (3.32)
    5                       12.00                      -            (3.32)
    6                       12.00                      -            (3.32)
    7                       12.00                      -            (3.32)
    8                       12.00                      -            (3.32)
    9                       12.00                      -            (3.32)
   10                       12.00                      -            (3.32)
Soma
(4.35)
   (0.98)
    0.96

PBD

1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
TMA   Respostas:                                                      VFL
  12%            PBS           3.25           VPL      408.52           VUL
                 PBD           3.51           TIR         47%             IL

  Ano         FC       Saldo Simples   PBS          VP (FC)     Saldo Desc
    0       (90.00)        (90.00)                   (90.00)      (90.00)
    1      (150.00)       (240.00)     1.00         (133.93)     (223.93)
    2       (60.00)       (300.00)     1.00          (47.83)     (271.76)
    3       200.00        (100.00)     1.00          142.36      (129.40)
    4       400.00         300.00      0.25          254.21       124.80
    5       500.00         800.00                    283.71       408.52
    6                      800.00                      -          408.52
    7                      800.00                      -          408.52
    8                      800.00                      -          408.52
    9                      800.00                      -          408.52
   10                      800.00                      -          408.52
Soma
719.95
 113.33
   5.54

PBD

1.00
1.00
1.00
0.51
TMA   Respostas:                                                         VFL
  30%            PBS           2.50           VPL       (644.30)           VUL
                 PBD          10.00           TIR           29%              IL

  Ano         FC       Saldo Simples   PBS            VP (FC)      Saldo Desc
    0    (25,000.00)    (25,000.00)                 (25,000.00)    (25,000.00)
    1     10,000.00     (15,000.00)    1.00          7,692.31      (17,307.69)
    2     10,000.00      (5,000.00)    1.00          5,917.16      (11,390.53)
    3     10,000.00       5,000.00     0.50          4,551.66       (6,838.87)
    4     10,000.00      15,000.00                   3,501.28       (3,337.59)
    5     10,000.00      25,000.00                   2,693.29        (644.30)
    6                    25,000.00                       -           (644.30)
    7                    25,000.00                       -           (644.30)
    8                    25,000.00                       -           (644.30)
    9                    25,000.00                       -           (644.30)
   10                    25,000.00                       -           (644.30)
Soma
(2,392.25)
  (264.54)
     0.97

 PBD

1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
TMA   Respostas:                                                      VFL
                  PBS Não tem                VPL           -            VUL
                  PBD Não tem                TIR      Err:523             IL

  Ano        FC       Saldo Simples   PBS          VP (FC)      Saldo Desc
    0                       -                        -              -
    1                       -         1.00           -              -
    2                       -         1.00           -              -
    3                       -         1.00           -              -
    4                       -         1.00           -              -
    5                       -         1.00           -              -
    6                       -         1.00           -              -
    7                       -         1.00           -              -
    8                       -         1.00           -              -
    9                       -         1.00           -              -
   10                       -         1.00           -              -
Soma
-
#VALUE!
 #DIV/0!

PBD

1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
TMA   Respostas:                                                      VFL
  18%            PBS           2.35           VPL       26.32           VUL
                 PBD           3.35           TIR         32%             IL

  Ano        FC        Saldo Simples   PBS          VP (FC)     Saldo Desc
    0      (80.00)         (80.00)                  (80.00)       (80.00)
    1       34.00          (46.00)     1.00          28.81        (51.19)
    2       34.00          (12.00)     1.00          24.42        (26.77)
    3       34.00           22.00      0.35          20.69         (6.07)
    4       34.00           56.00                    17.54         11.46
    5       34.00           90.00                    14.86         26.32
    6                       90.00                      -           26.32
    7                       90.00                      -           26.32
    8                       90.00                      -           26.32
    9                       90.00                      -           26.32
   10                       90.00                      -           26.32
Soma
60.22251
    8.42
    1.33

PBD

1.00
1.00
1.00
0.35
TMA   Respostas:                                                        VFL
  16%            PBS           5.42           VPL       (70.01)           VUL
                 PBD          10.00           TIR          13%              IL

  Ano         FC       Saldo Simples   PBS          VP (FC)       Saldo Desc
    0      (650.00)       (650.00)                  (650.00)       (650.00)
    1       120.00        (530.00)     1.00          103.45        (546.55)
    2       120.00        (410.00)     1.00           89.18        (457.37)
    3       120.00        (290.00)     1.00           76.88        (380.49)
    4       120.00        (170.00)     1.00           66.27        (314.22)
    5       120.00         (50.00)     1.00           57.13        (257.08)
    6       120.00          70.00      0.42           49.25        (207.83)
    7       120.00         190.00                     42.46        (165.37)
    8       120.00         310.00                     36.60        (128.77)
    9       120.00         430.00                     31.55         (97.21)
   10       120.00         550.00                     27.20         (70.01)
Soma
(308.86)
(14.48570)
      0.89

 PBD

 1.00
 1.00
 1.00
 1.00
 1.00
 1.00
 1.00
 1.00
 1.00
 1.00
6      14.00%            580.00                149.15


                                                                                  1
                  MATEMÁGICA FINANCEIRA NO EXCE
                             Clique sobre o valor que deseja obter
          Operações financeiras com juros compostos.
        Regime         N         I               PV                  PMT
þÿ
           3           6    14.0000%           580.00

     Juros Compostos                                                (149.15)

Resposta                   A prestação é igual a -149.151,35 no regime de juros compostos

Operações na HP12C          [f] [REG] 6 [n] 14 [i] 580 [PV] [g] [END] [PMT] Visor => -149.1513

Operações no Excel          =PGTO(0.14;6;580;;0)
4
      N         I         PV              PMT
JS   1 0 [ENTER] [ENTER] [ENTER] [-] 6 [/] Visor => 0,000,000
              0 580 [/] 0 [-] 14 [/] Visor =>existe [x] 1 [+] [/]
                        1 580 [/] 1 0.14 [ENTER]6
                                        Não 0,000,000
D    2 1 [ENTER] [ENTER] 580 [ENTER] 0 existe [/] [ENTER]
              1 580 [ENTER] 0 [/]1[-] 0.14 [/] Visor => 0,000
                      0 [ENTER] [ENTER] 0.14 Visor =>
                                    Não [/] [-] 6
JC   3 [f] [REG] [f] [REG] [f] [n] 580 [END] [n] Visor [i] Visor => 0
                 14 [i] 5806[PV] [g] 6 [n] [f] [REG] [END] [PV]580
                                [REG] [PV] 14 [i] [g] 6 => 0 . A HP
                                            [g] [END] [n] 14 [i] Vis
l              3c                       4 fómula ==>
Opção :             3            juros compostos                             (Não Mexa !!!)
                  1 - Juros Simples

                  2 - Desconto Bancário

                  3 - Juros Compostos




Cálculos Financeiros Gerais (Não Mexa !!!)
                          2                      3                    4                        5
        1                     (7.14)             -16.67%                       -           Não tem


        2                 #DIV/0!                #DIV/0!                       -           Não tem


        3                  #NUM!                -100.00%                       -                    (149.15)




Cálculos na HP 12C - Não Mexa Nunca !!!
       Juros              N                      I                    PV                    PMT


                  6 [n]                14 [i]              580 [PV]


N                 [f] [REG] 14 [i] 580 [PV] [g] [END] [n] Visor => 0 . A HP aproxima o cálculo de n para o inteiro superior. Seu va


I                 [f] [REG] 6 [n] 580 [PV] [g] [END] [i] Visor => 0


PV                [f] [REG] 6 [n] 14 [i] [g] [END] [PV] Visor => 0


PMT               [f] [REG] 6 [n] 14 [i] 580 [PV] [g] [END] [PMT] Visor => -149.1513


FV                [f] [REG] 6 [n] 14 [i] 580 [PV] [g] [END] [FV] Visor => 0
Regimes
1 - Juros simples
2 - Desconto comercial                                TAXA(nper;pgto;vp;vf;tipo;estimativ

3 - Juros compostos                                   VF(taxa;nper;pgto;vp;tipo)

                                                      VP(taxa;nper;pgto;vf;tipo)

Tipos
0 - postecipado

1 - antecipado

Legenda
cod                desc      simb     conc
1                  O número períodos =NPER(0.14;;580;;0)
                            de períodos

2                            % a.p.
                   A taxa de juros    =TAXA(6;;580;;0;)
3                  O valor presente   =VP(0.14;6;;;0)
4                  A prestação        =PGTO(0.14;6;580;;0)
5                  O valor futuro     =VF(0.14;6;;580;0)


Taxa
                  1 % a.d.   dias                 1
                  2 % a.m. meses                30
                  3 % a.b.   bimestres          60
                  4 % a.t.   trimestres         90
                  5 % a.q.   quadrimestres     120
6 % a.s.   semestres       180
7 % a.a.   ano comercial   360
8 % a.a. (exato)
           ano civil       365
Err:502


                                            1
 A NO EXCEL
a obter


                    FV            Tipo
                             þÿ
                                   0        1
                              Sem entrada

 e de juros compostos

MT] Visor => -149.1513
FV            Tipo
580 [ENTER] 0.14 [ENTER] 6 [x] 1 [+] [x] Visor => 0,000,000
580 [ENTER] 1 [ENTER] 0.14 [ENTER] 6 [x] [-] [/] Visor => 0,000,000
[f] [REG] 6 [n] 14 [i] 580 [PV] [g] [END] [FV] Visor => 0
[f] [REG] 6 [n] 14 [i] 580 [PV] [g] [END] [PMT] Visor => -149.1513
Mexa !!!)




                             6
                              (1,067.20)

                              (3,625.00)

                              (1,273.08)




                           FV                       TIPO


                                            [g] [END]


de n para o inteiro superior. Seu valor com quatro casas é igual a 0
per;pgto;vp;vf;tipo;estimativa)

nper;pgto;vp;tipo)

nper;pgto;vf;tipo)
7      14.00%            620.00                144.58


                                                                                  1
                  MATEMÁGICA FINANCEIRA NO EXCE
                             Clique sobre o valor que deseja obter
          Operações financeiras com juros compostos.
        Regime         N         I               PV                  PMT
þÿ
           3           7    14.0000%           620.00

     Juros Compostos                                                (144.58)

Resposta                   A prestação é igual a -144.579,27 no regime de juros compostos

Operações na HP12C          [f] [REG] 7 [n] 14 [i] 620 [PV] [g] [END] [PMT] Visor => -144.5793

Operações no Excel          =PGTO(0.14;7;620;;0)
4
      N         I         PV              PMT
JS   1 0 [ENTER] [ENTER] [ENTER] [-] 7 [/] Visor => 0,000,000
              0 620 [/] 0 [-] 14 [/] Visor =>existe [x] 1 [+] [/]
                        1 620 [/] 1 0.14 [ENTER]7
                                        Não 0,000,000
D    2 1 [ENTER] [ENTER] 620 [ENTER] 0 existe [/] [ENTER]
              1 620 [ENTER] 0 [/]1[-] 0.14 [/] Visor => 0,000
                      0 [ENTER] [ENTER] 0.14 Visor =>
                                    Não [/] [-] 7
JC   3 [f] [REG] [f] [REG] [f] [n] 620 [END] [n] Visor [i] Visor => 0
                 14 [i] 6207[PV] [g] 7 [n] [f] [REG] [END] [PV]620
                                [REG] [PV] 14 [i] [g] 7 => 0 . A HP
                                            [g] [END] [n] 14 [i] Vis
l              3c                       4 fómula ==>
Opção :             3            juros compostos                             (Não Mexa !!!)
                  1 - Juros Simples

                  2 - Desconto Bancário

                  3 - Juros Compostos




Cálculos Financeiros Gerais (Não Mexa !!!)
                          2                      3                    4                        5
        1                     (7.14)             -14.29%                       -           Não tem


        2                 #DIV/0!                #DIV/0!                       -           Não tem


        3                  #NUM!                -100.00%                       -                    (144.58)




Cálculos na HP 12C - Não Mexa Nunca !!!
       Juros              N                      I                    PV                    PMT


                  7 [n]                14 [i]              620 [PV]


N                 [f] [REG] 14 [i] 620 [PV] [g] [END] [n] Visor => 0 . A HP aproxima o cálculo de n para o inteiro superior. Seu va


I                 [f] [REG] 7 [n] 620 [PV] [g] [END] [i] Visor => 0


PV                [f] [REG] 7 [n] 14 [i] [g] [END] [PV] Visor => 0


PMT               [f] [REG] 7 [n] 14 [i] 620 [PV] [g] [END] [PMT] Visor => -144.5793


FV                [f] [REG] 7 [n] 14 [i] 620 [PV] [g] [END] [FV] Visor => 0
Regimes
1 - Juros simples
2 - Desconto comercial                                TAXA(nper;pgto;vp;vf;tipo;estimativ

3 - Juros compostos                                   VF(taxa;nper;pgto;vp;tipo)

                                                      VP(taxa;nper;pgto;vf;tipo)

Tipos
0 - postecipado

1 - antecipado

Legenda
cod                desc      simb     conc
1                  O número períodos =NPER(0.14;;620;;0)
                            de períodos

2                            % a.p.
                   A taxa de juros    =TAXA(7;;620;;0;)
3                  O valor presente   =VP(0.14;7;;;0)
4                  A prestação        =PGTO(0.14;7;620;;0)
5                  O valor futuro     =VF(0.14;7;;620;0)


Taxa
                  1 % a.d.   dias                 1
                  2 % a.m. meses                30
                  3 % a.b.   bimestres          60
                  4 % a.t.   trimestres         90
                  5 % a.q.   quadrimestres     120
6 % a.s.   semestres       180
7 % a.a.   ano comercial   360
8 % a.a. (exato)
           ano civil       365
Err:502


                                            1
 A NO EXCEL
a obter


                    FV            Tipo
                             þÿ
                                   0        1
                              Sem entrada

 e de juros compostos

MT] Visor => -144.5793
FV            Tipo
620 [ENTER] 0.14 [ENTER] 7 [x] 1 [+] [x] Visor => 0,000,000
620 [ENTER] 1 [ENTER] 0.14 [ENTER] 7 [x] [-] [/] Visor => 0,000,000
[f] [REG] 7 [n] 14 [i] 620 [PV] [g] [END] [FV] Visor => 0
[f] [REG] 7 [n] 14 [i] 620 [PV] [g] [END] [PMT] Visor => -144.5793
Mexa !!!)




                             6
                              (1,227.60)

                             (31,000.00)

                              (1,551.41)




                           FV                       TIPO


                                            [g] [END]


de n para o inteiro superior. Seu valor com quatro casas é igual a 0
per;pgto;vp;vf;tipo;estimativa)

nper;pgto;vp;tipo)

nper;pgto;vf;tipo)
TMA   Respostas:                                                      VFL
  12%            PBS           3.18           VPL     3.50300           VUL
                 PBD           5.54           TIR         13%             IL

  Ano         FC       Saldo Simples   PBS          VP (FC)     Saldo Desc
    0      (140.00)       (140.00)                  (140.00)     (140.00)
    1       15.00         (125.00)     1.00          13.39       (126.61)
    2       63.00          (62.00)     1.00          50.22        (76.38)
    3       58.00           (4.00)     1.00          41.28        (35.10)
    4       22.00           18.00      0.18          13.98        (21.12)
    5       30.00           48.00                    17.02         (4.10)
    6       15.00           63.00                     7.60          3.50
    7                       63.00                      -            3.50
    8                       63.00                      -            3.50
    9                       63.00                      -            3.50
   10                       63.00                      -            3.50
Soma
6.91429
0.85202
   1.03

PBD

1.00
1.00
1.00
1.00
1.00
0.54
TMA   Respostas:                                                      VFL
   8%            PBS           6.25           VPL     3.68065           VUL
                 PBD           9.01           TIR         10%             IL

  Ano        FC        Saldo Simples   PBS          VP (FC)     Saldo Desc
    0      (50.00)         (50.00)                  (50.00)       (50.00)
    1       8.00           (42.00)     1.00          7.41         (42.59)
    2       8.00           (34.00)     1.00          6.86         (35.73)
    3       8.00           (26.00)     1.00          6.35         (29.38)
    4       8.00           (18.00)     1.00          5.88         (23.50)
    5       8.00           (10.00)     1.00          5.44         (18.06)
    6       8.00            (2.00)     1.00          5.04         (13.02)
    7       8.00             6.00      0.25          4.67          (8.35)
    8       8.00            14.00                    4.32          (4.03)
    9       8.00            22.00                    4.00          (0.02)
   10       8.00            30.00                    3.71           3.68
Soma
7.94625
0.54853
   1.07

PBD

1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
0.01
TMA   Respostas:                                                       VFL
   8%            PBS           2.88           VPL       160.04           VUL
                 PBD           3.46           TIR          14%             IL

  Ano         FC       Saldo Simples   PBS           VP (FC)     Saldo Desc
    0     (1,350.00)     (1,350.00)                 (1,350.00)    (1,350.00)
    1       600.00        (750.00)     1.00           555.56       (794.44)
    2       400.00        (350.00)     1.00           342.94       (451.51)
    3       400.00          50.00      0.88           317.53       (133.98)
    4       400.00         450.00                     294.01        160.04
    5                      450.00                       -           160.04
    6                      450.00                       -           160.04
    7                      450.00                       -           160.04
    8                      450.00                       -           160.04
    9                      450.00                       -           160.04
   10                      450.00                       -           160.04
Soma
217.73
  48.32
   1.12

PBD

1.00
1.00
1.00
0.46
TMA   Respostas:                                                        VFL
   8%            PBS           5.78           VPL     19,033.84           VUL
                 PBD           7.46           TIR           12%             IL

  Ano         FC       Saldo Simples   PBS            VP (FC)     Saldo Desc
    0    (98,000.00)    (98,000.00)                 (98,000.00)   (98,000.00)
    1     16,000.00     (82,000.00)    1.00          14,814.81    (83,185.19)
    2     16,000.00     (66,000.00)    1.00          13,717.42    (69,467.76)
    3     16,000.00     (50,000.00)    1.00          12,701.32    (56,766.45)
    4     18,000.00     (32,000.00)    1.00          13,230.54    (43,535.91)
    5     18,000.00     (14,000.00)    1.00          12,250.50    (31,285.41)
    6     18,000.00       4,000.00     0.78          11,343.05    (19,942.36)
    7     24,000.00      28,000.00                   14,003.77     (5,938.59)
    8     24,000.00      52,000.00                   12,966.45      7,027.86
    9     24,000.00      76,000.00                   12,005.98     19,033.84
   10                    76,000.00                       -         19,033.84
Soma
38,048.73
 3,046.93
     1.19

 PBD

 1.00
 1.00
 1.00
 1.00
 1.00
 1.00
 1.00
 0.46
TMA   Respostas:                                                      VFL
   8%            PBS           2.64           VPL      538.50           VUL
                 PBD           3.07           TIR         32%             IL

  Ano         FC       Saldo Simples   PBS          VP (FC)     Saldo Desc
    0      (630.00)       (630.00)                  (630.00)     (630.00)
    1       230.00        (400.00)     1.00          212.96      (417.04)
    2       240.00        (160.00)     1.00          205.76      (211.28)
    3       250.00          90.00      0.64          198.46       (12.82)
    4       260.00         350.00                    191.11       178.29
    5       270.00         620.00                    183.76       362.05
    6       280.00         900.00                    176.45       538.50
    7                      900.00                      -          538.50
    8                      900.00                      -          538.50
    9                      900.00                      -          538.50
   10                      900.00                      -          538.50
Soma
854.52
 116.48
   1.85

PBD

1.00
1.00
1.00
0.07
IL =   VPL/INV + 1

IL =         1.4
TMA   Respostas:                                                      VFL
   3%            PBS           2.00           VPL      432.27           VUL
                 PBD           2.09           TIR         39%             IL

  Ano         FC       Saldo Simples   PBS          VP (FC)     Saldo Desc
    0      (400.00)       (400.00)                  (400.00)     (400.00)
    1       200.00        (200.00)     1.00          194.17      (205.83)
    2       200.00           -         1.00          188.52       (17.31)
    3       200.00         200.00       -            183.03       165.72
    4       300.00         500.00                    266.55       432.27
    5                      500.00                      -          432.27
    6                      500.00                      -          432.27
    7                      500.00                      -          432.27
    8                      500.00                      -          432.27
    9                      500.00                      -          432.27
   10                      500.00                      -          432.27
Soma
486.52
 116.29
   2.08

PBD

1.00
1.00
0.09
TMA   Respostas:                                                        VFL
  18%            PBS           4.69           VPL       (39.04)           VUL
                 PBD          10.00           TIR          14%              IL

  Ano         FC       Saldo Simples   PBS          VP (FC)       Saldo Desc
    0      (300.00)       (300.00)                  (300.00)       (300.00)
    1       64.00         (236.00)     1.00          54.24         (245.76)
    2       64.00         (172.00)     1.00          45.96         (199.80)
    3       64.00         (108.00)     1.00          38.95         (160.85)
    4       64.00          (44.00)     1.00          33.01         (127.84)
    5       64.00           20.00      0.69          27.97          (99.86)
    6       64.00           84.00                    23.71          (76.15)
    7       64.00          148.00                    20.09          (56.06)
    8       64.00          212.00                    17.03          (39.04)
    9                      212.00                      -            (39.04)
   10                      212.00                      -            (39.04)
Soma
(146.73)
  (9.57)
 0.8699

PBD

1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
TMA   Respostas:                                                      VFL
                  PBS Não tem                VPL           -            VUL
                  PBD Não tem                TIR      Err:523             IL

  Ano        FC       Saldo Simples   PBS          VP (FC)      Saldo Desc
    0                       -                        -              -
    1                       -         1.00           -              -
    2                       -         1.00           -              -
    3                       -         1.00           -              -
    4                       -         1.00           -              -
    5                       -         1.00           -              -
    6                       -         1.00           -              -
    7                       -         1.00           -              -
    8                       -         1.00           -              -
    9                       -         1.00           -              -
   10                       -         1.00           -              -
Soma
-
#VALUE!
 #DIV/0!

PBD

1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
TMA   Respostas:                                                     VFL
  10%            PBS Não tem                VPL     (112.02)           VUL
                 PBD Não tem                TIR      Err:523             IL

  Ano         FC     Saldo Simples   PBS          VP (FC)      Saldo Desc
    0      (50.00)       (50.00)                  (50.00)        (50.00)
    1      (18.00)       (68.00)     1.00         (16.36)        (66.36)
    2      (18.00)       (86.00)     1.00         (14.88)        (81.24)
    3      (18.00)      (104.00)     1.00         (13.52)        (94.76)
    4      (18.00)      (122.00)     1.00         (12.29)       (107.06)
    5       (8.00)      (130.00)     1.00          (4.97)       (112.02)
    6                   (130.00)     1.00            -          (112.02)
    7                   (130.00)     1.00            -          (112.02)
    8                   (130.00)     1.00            -          (112.02)
    9                   (130.00)     1.00            -          (112.02)
   10                   (130.00)     1.00            -          (112.02)
Soma
(180.42)
 (29.55)
  (1.24)

PBD

1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
TMA   Respostas:                                                     VFL
  10%            PBS Não tem                VPL     (139.88)           VUL
                 PBD Não tem                TIR      Err:523             IL

  Ano        FC      Saldo Simples   PBS          VP (FC)      Saldo Desc
    0      (90.00)       (90.00)                  (90.00)        (90.00)
    1      (10.00)      (100.00)     1.00          (9.09)        (99.09)
    2      (10.00)      (110.00)     1.00          (8.26)       (107.36)
    3      (10.00)      (120.00)     1.00          (7.51)       (114.87)
    4      (10.00)      (130.00)     1.00          (6.83)       (121.70)
    5      (10.00)      (140.00)     1.00          (6.21)       (127.91)
    6      (10.00)      (150.00)     1.00          (5.64)       (133.55)
    7      (10.00)      (160.00)     1.00          (5.13)       (138.68)
    8      (10.00)      (170.00)     1.00          (4.67)       (143.35)
    9      (10.00)      (180.00)     1.00          (4.24)       (147.59)
   10       20.00       (160.00)     1.00           7.71        (139.88)
Soma
(362.81)
 (22.76)
  (0.55)

PBD

1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00

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Avalin resp cap7

  • 1. Avalição de Investimentos Adriano Leal Bruni (albruni@minhasaulas.com.br) Respostas do livro Capítulo 7 www.MinhasAulas.com.br
  • 2. TMA Respostas: VFL 4% PBS 4.00 VPL 10,000.01 VUL PBD 4.45 TIR 16% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (20,000.00) (20,000.00) (20,000.00) (20,000.00) 1 4,998.29 (15,001.71) 1.00 4,806.05 (15,193.95) 2 4,998.29 (10,003.42) 1.00 4,621.20 (10,572.75) 3 4,998.29 (5,005.13) 1.00 4,443.46 (6,129.29) 4 4,998.29 (6.84) 1.00 4,272.56 (1,856.73) 5 4,998.29 4,991.45 0.00 4,108.23 2,251.50 6 4,998.29 9,989.74 3,950.22 6,201.72 7 4,998.29 14,988.03 3,798.29 10,000.01 8 14,988.03 - 10,000.01 9 14,988.03 - 10,000.01 10 14,988.03 - 10,000.01 Soma
  • 3. 13,159.33 1,666.10 1.50 PBD 1.00 1.00 1.00 1.00 0.45
  • 4. TMA Respostas: VFL 5% PBS 5.86 VPL (7,999.99) VUL PBD 10.00 TIR 1% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (60,000.00) (60,000.00) (60,000.00) (60,000.00) 1 10,244.91 (49,755.09) 1.00 9,757.06 (50,242.94) 2 10,244.91 (39,510.18) 1.00 9,292.44 (40,950.51) 3 10,244.91 (29,265.27) 1.00 8,849.94 (32,100.57) 4 10,244.91 (19,020.36) 1.00 8,428.51 (23,672.06) 5 10,244.91 (8,775.45) 1.00 8,027.16 (15,644.90) 6 10,244.91 1,469.46 0.86 7,644.91 (7,999.99) 7 1,469.46 - (7,999.99) 8 1,469.46 - (7,999.99) 9 1,469.46 - (7,999.99) 10 1,469.46 - (7,999.99) Soma
  • 5. (10,720.75) (1,576.14) 0.87 PBD 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
  • 6. TMA Respostas: VFL 6% PBS 10.00 VPL (5,000.00) VUL PBD 10.00 TIR -6% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (30,000.00) (30,000.00) (30,000.00) (30,000.00) 1 13,635.92 (16,364.08) 1.00 12,864.08 (17,135.92) 2 13,635.92 (2,728.16) 1.00 12,135.92 (5,000.00) 3 (2,728.16) 1.00 - (5,000.00) 4 (2,728.16) 1.00 - (5,000.00) 5 (2,728.16) 1.00 - (5,000.00) 6 (2,728.16) 1.00 - (5,000.00) 7 (2,728.16) 1.00 - (5,000.00) 8 (2,728.16) 1.00 - (5,000.00) 9 (2,728.16) 1.00 - (5,000.00) 10 (2,728.16) 1.00 - (5,000.00) Soma
  • 7. (5,618.00) (2,727.19) 0.83 PBD 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
  • 8. TMA Respostas: VFL 12% PBS 2.38 VPL 4.38 VUL PBD 2.97 TIR 13% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (500.00) (500.00) (500.00) (500.00) 1 210.00 (290.00) 1.00 187.50 (312.50) 2 210.00 (80.00) 1.00 167.41 (145.09) 3 210.00 130.00 0.38 149.47 4.38 4 130.00 - 4.38 5 130.00 - 4.38 6 130.00 - 4.38 7 130.00 - 4.38 8 130.00 - 4.38 9 130.00 - 4.38 10 130.00 - 4.38 Soma
  • 9. 6.16 1.83 1.01 PBD 1.00 1.00 0.97
  • 10. TMA Respostas: VFL 10% PBS - VPL 2,248.43 VUL PBD - TIR Err:523 IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 - - - 1 400.00 400.00 - 363.64 363.64 2 400.00 800.00 330.58 694.21 3 400.00 1,200.00 300.53 994.74 4 400.00 1,600.00 273.21 1,267.95 5 200.00 1,800.00 124.18 1,392.13 6 200.00 2,000.00 112.89 1,505.03 7 200.00 2,200.00 102.63 1,607.66 8 200.00 2,400.00 93.30 1,700.96 9 200.00 2,600.00 84.82 1,785.78 10 1,200.00 3,800.00 462.65 2,248.43 Soma
  • 11. 5,831.85 365.92 #DIV/0! PBD -
  • 12. TMA Respostas: VFL 12% PBS - VPL 14,645.49 VUL PBD - TIR Err:523 IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 - - - 1 5,000.00 5,000.00 - 4,464.29 4,464.29 2 3,000.00 8,000.00 2,391.58 6,855.87 3 3,000.00 11,000.00 2,135.34 8,991.21 4 3,000.00 14,000.00 1,906.55 10,897.76 5 3,000.00 17,000.00 1,702.28 12,600.04 6 1,000.00 18,000.00 506.63 13,106.67 7 1,000.00 19,000.00 452.35 13,559.02 8 1,000.00 20,000.00 403.88 13,962.91 9 1,000.00 21,000.00 360.61 14,323.52 10 1,000.00 22,000.00 321.97 14,645.49 Soma
  • 13. 45,486.67 2,592.02 #DIV/0! PBD -
  • 14. TMA Respostas: VFL 6% PBS 3.25 VPL 200.18 VUL PBD 3.37 TIR 26% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (300.00) (300.00) (300.00) (300.00) 1 100.00 (200.00) 1.00 94.34 (205.66) 2 100.00 (100.00) 1.00 89.00 (116.66) 3 - (100.00) 1.00 - (116.66) 4 400.00 300.00 0.25 316.84 200.18 5 300.00 - 200.18 6 300.00 - 200.18 7 300.00 - 200.18 8 300.00 - 200.18 9 300.00 - 200.18 10 300.00 - 200.18 Soma Resp: 238.41
  • 15. 252.72 57.77 1.67 PBD 1.00 1.00 1.00 0.37
  • 16. TMA Respostas: VFL 3% PBS 6.00 VPL 83,448.06 VUL PBD 6.41 TIR 15% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (90,000.00) (90,000.00) (90,000.00) (90,000.00) 1 10,000.00 (80,000.00) 1.00 9,708.74 (80,291.26) 2 10,000.00 (70,000.00) 1.00 9,425.96 (70,865.30) 3 10,000.00 (60,000.00) 1.00 9,151.42 (61,713.89) 4 20,000.00 (40,000.00) 1.00 17,769.74 (43,944.15) 5 20,000.00 (20,000.00) 1.00 17,252.18 (26,691.97) 6 20,000.00 - 1.00 16,749.69 (9,942.28) 7 30,000.00 30,000.00 - 24,392.75 14,450.46 8 30,000.00 60,000.00 23,682.28 38,132.74 9 30,000.00 90,000.00 22,992.50 61,125.24 10 30,000.00 120,000.00 22,322.82 83,448.06 Soma Resp: 91,185.95
  • 17. 112,147.21 9,782.66 1.93 PBD 1.00 1.00 1.00 1.00 1.00 1.00 0.41
  • 18. TMA Respostas: VFL 4% PBS 3.00 VPL 539.94 VUL PBD 3.22 TIR 30% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (400.00) (400.00) (400.00) (400.00) 1 120.00 (280.00) 1.00 115.38 (284.62) 2 160.00 (120.00) 1.00 147.93 (136.69) 3 120.00 - 1.00 106.68 (30.01) 4 160.00 160.00 - 136.77 106.76 5 120.00 280.00 98.63 205.39 6 160.00 440.00 126.45 331.84 7 120.00 560.00 91.19 423.03 8 160.00 720.00 116.91 539.94 9 720.00 - 539.94 10 720.00 - 539.94 Soma
  • 19. 738.95 80.20 2.35 PBD 1.00 1.00 1.00 0.22
  • 20. TMA Respostas: VFL 25% PBS 1.31 VPL 448.00 VUL PBD 1.78 TIR 34% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (4,000.00) (4,000.00) (4,000.00) (4,000.00) 1 3,000.00 (1,000.00) 1.00 2,400.00 (1,600.00) 2 3,200.00 2,200.00 0.31 2,048.00 448.00 3 2,200.00 - 448.00 4 2,200.00 - 448.00 5 2,200.00 - 448.00 6 2,200.00 - 448.00 7 2,200.00 - 448.00 8 2,200.00 - 448.00 9 2,200.00 - 448.00 10 2,200.00 - 448.00 Soma
  • 21. 700.00 311.11 1.11 PBD 1.00 0.78
  • 22. TMA Respostas: VFL 8% PBS 2.60 VPL 3.16212 VUL PBD 2.92 TIR 10% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (95.00) (95.00) (95.00) (95.00) 1 40.00 (55.00) 1.00 37.04 (57.96) 2 25.00 (30.00) 1.00 21.43 (36.53) 3 50.00 20.00 0.60 39.69 3.16 4 20.00 - 3.16 5 20.00 - 3.16 6 20.00 - 3.16 7 20.00 - 3.16 8 20.00 - 3.16 9 20.00 - 3.16 10 20.00 - 3.16 Soma
  • 23. 3.98 1.23 1.03 PBD 1.00 1.00 0.92
  • 24. TMA Respostas: VFL 20% PBS 1.67 VPL 6.88735 VUL PBD 2.11 TIR 71% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (4.00) (4.00) (4.00) (4.00) 1 2.00 (2.00) 1.00 1.67 (2.33) 2 3.00 1.00 0.67 2.08 (0.25) 3 4.00 5.00 2.31 2.06 4 5.00 10.00 2.41 4.48 5 6.00 16.00 2.41 6.89 6 16.00 - 6.89 7 16.00 - 6.89 8 16.00 - 6.89 9 16.00 - 6.89 10 16.00 - 6.89 Soma
  • 25. 17.14 2.30 2.72 PBD 1.00 1.00 0.11
  • 26. TMA Respostas: VFL 12% PBS 1.78 VPL 134.10715 VUL PBD 2.10 TIR 58% 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 35.71 (39.29) 2 45.00 10.00 0.78 35.87 (3.41) 3 50.00 60.00 35.59 32.18 4 55.00 115.00 34.95 67.13 5 60.00 175.00 34.05 101.18 6 65.00 240.00 32.93 134.11 7 240.00 - 134.11 8 240.00 - 134.11 9 240.00 - 134.11 10 240.00 - 134.11 Soma
  • 27. 264.70 32.62 2.79 PBD 1.00 1.00 0.10
  • 28. TMA Respostas: VFL 7% PBS 3.52 VPL (3.32) VUL PBD 10.00 TIR 5% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (88.00) (88.00) (88.00) (88.00) 1 25.00 (63.00) 1.00 23.36 (64.64) 2 25.00 (38.00) 1.00 21.84 (42.80) 3 25.00 (13.00) 1.00 20.41 (22.39) 4 25.00 12.00 0.52 19.07 (3.32) 5 12.00 - (3.32) 6 12.00 - (3.32) 7 12.00 - (3.32) 8 12.00 - (3.32) 9 12.00 - (3.32) 10 12.00 - (3.32) Soma
  • 29. (4.35) (0.98) 0.96 PBD 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
  • 30. TMA Respostas: VFL 12% PBS 3.25 VPL 408.52 VUL PBD 3.51 TIR 47% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (90.00) (90.00) (90.00) (90.00) 1 (150.00) (240.00) 1.00 (133.93) (223.93) 2 (60.00) (300.00) 1.00 (47.83) (271.76) 3 200.00 (100.00) 1.00 142.36 (129.40) 4 400.00 300.00 0.25 254.21 124.80 5 500.00 800.00 283.71 408.52 6 800.00 - 408.52 7 800.00 - 408.52 8 800.00 - 408.52 9 800.00 - 408.52 10 800.00 - 408.52 Soma
  • 31. 719.95 113.33 5.54 PBD 1.00 1.00 1.00 0.51
  • 32. TMA Respostas: VFL 30% PBS 2.50 VPL (644.30) VUL PBD 10.00 TIR 29% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (25,000.00) (25,000.00) (25,000.00) (25,000.00) 1 10,000.00 (15,000.00) 1.00 7,692.31 (17,307.69) 2 10,000.00 (5,000.00) 1.00 5,917.16 (11,390.53) 3 10,000.00 5,000.00 0.50 4,551.66 (6,838.87) 4 10,000.00 15,000.00 3,501.28 (3,337.59) 5 10,000.00 25,000.00 2,693.29 (644.30) 6 25,000.00 - (644.30) 7 25,000.00 - (644.30) 8 25,000.00 - (644.30) 9 25,000.00 - (644.30) 10 25,000.00 - (644.30) Soma
  • 33. (2,392.25) (264.54) 0.97 PBD 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
  • 34. TMA Respostas: VFL PBS Não tem VPL - VUL PBD Não tem TIR Err:523 IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 - - - 1 - 1.00 - - 2 - 1.00 - - 3 - 1.00 - - 4 - 1.00 - - 5 - 1.00 - - 6 - 1.00 - - 7 - 1.00 - - 8 - 1.00 - - 9 - 1.00 - - 10 - 1.00 - - Soma
  • 36. TMA Respostas: VFL 18% PBS 2.35 VPL 26.32 VUL PBD 3.35 TIR 32% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (80.00) (80.00) (80.00) (80.00) 1 34.00 (46.00) 1.00 28.81 (51.19) 2 34.00 (12.00) 1.00 24.42 (26.77) 3 34.00 22.00 0.35 20.69 (6.07) 4 34.00 56.00 17.54 11.46 5 34.00 90.00 14.86 26.32 6 90.00 - 26.32 7 90.00 - 26.32 8 90.00 - 26.32 9 90.00 - 26.32 10 90.00 - 26.32 Soma
  • 37. 60.22251 8.42 1.33 PBD 1.00 1.00 1.00 0.35
  • 38. TMA Respostas: VFL 16% PBS 5.42 VPL (70.01) VUL PBD 10.00 TIR 13% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (650.00) (650.00) (650.00) (650.00) 1 120.00 (530.00) 1.00 103.45 (546.55) 2 120.00 (410.00) 1.00 89.18 (457.37) 3 120.00 (290.00) 1.00 76.88 (380.49) 4 120.00 (170.00) 1.00 66.27 (314.22) 5 120.00 (50.00) 1.00 57.13 (257.08) 6 120.00 70.00 0.42 49.25 (207.83) 7 120.00 190.00 42.46 (165.37) 8 120.00 310.00 36.60 (128.77) 9 120.00 430.00 31.55 (97.21) 10 120.00 550.00 27.20 (70.01) Soma
  • 39. (308.86) (14.48570) 0.89 PBD 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
  • 40. 6 14.00% 580.00 149.15 1 MATEMÁGICA FINANCEIRA NO EXCE Clique sobre o valor que deseja obter Operações financeiras com juros compostos. Regime N I PV PMT þÿ 3 6 14.0000% 580.00 Juros Compostos (149.15) Resposta A prestação é igual a -149.151,35 no regime de juros compostos Operações na HP12C [f] [REG] 6 [n] 14 [i] 580 [PV] [g] [END] [PMT] Visor => -149.1513 Operações no Excel =PGTO(0.14;6;580;;0)
  • 41.
  • 42. 4 N I PV PMT JS 1 0 [ENTER] [ENTER] [ENTER] [-] 6 [/] Visor => 0,000,000 0 580 [/] 0 [-] 14 [/] Visor =>existe [x] 1 [+] [/] 1 580 [/] 1 0.14 [ENTER]6 Não 0,000,000 D 2 1 [ENTER] [ENTER] 580 [ENTER] 0 existe [/] [ENTER] 1 580 [ENTER] 0 [/]1[-] 0.14 [/] Visor => 0,000 0 [ENTER] [ENTER] 0.14 Visor => Não [/] [-] 6 JC 3 [f] [REG] [f] [REG] [f] [n] 580 [END] [n] Visor [i] Visor => 0 14 [i] 5806[PV] [g] 6 [n] [f] [REG] [END] [PV]580 [REG] [PV] 14 [i] [g] 6 => 0 . A HP [g] [END] [n] 14 [i] Vis l 3c 4 fómula ==>
  • 43. Opção : 3 juros compostos (Não Mexa !!!) 1 - Juros Simples 2 - Desconto Bancário 3 - Juros Compostos Cálculos Financeiros Gerais (Não Mexa !!!) 2 3 4 5 1 (7.14) -16.67% - Não tem 2 #DIV/0! #DIV/0! - Não tem 3 #NUM! -100.00% - (149.15) Cálculos na HP 12C - Não Mexa Nunca !!! Juros N I PV PMT 6 [n] 14 [i] 580 [PV] N [f] [REG] 14 [i] 580 [PV] [g] [END] [n] Visor => 0 . A HP aproxima o cálculo de n para o inteiro superior. Seu va I [f] [REG] 6 [n] 580 [PV] [g] [END] [i] Visor => 0 PV [f] [REG] 6 [n] 14 [i] [g] [END] [PV] Visor => 0 PMT [f] [REG] 6 [n] 14 [i] 580 [PV] [g] [END] [PMT] Visor => -149.1513 FV [f] [REG] 6 [n] 14 [i] 580 [PV] [g] [END] [FV] Visor => 0
  • 44.
  • 45. Regimes 1 - Juros simples 2 - Desconto comercial TAXA(nper;pgto;vp;vf;tipo;estimativ 3 - Juros compostos VF(taxa;nper;pgto;vp;tipo) VP(taxa;nper;pgto;vf;tipo) Tipos 0 - postecipado 1 - antecipado Legenda cod desc simb conc 1 O número períodos =NPER(0.14;;580;;0) de períodos 2 % a.p. A taxa de juros =TAXA(6;;580;;0;) 3 O valor presente =VP(0.14;6;;;0) 4 A prestação =PGTO(0.14;6;580;;0) 5 O valor futuro =VF(0.14;6;;580;0) Taxa 1 % a.d. dias 1 2 % a.m. meses 30 3 % a.b. bimestres 60 4 % a.t. trimestres 90 5 % a.q. quadrimestres 120
  • 46. 6 % a.s. semestres 180 7 % a.a. ano comercial 360 8 % a.a. (exato) ano civil 365
  • 47. Err:502 1 A NO EXCEL a obter FV Tipo þÿ 0 1 Sem entrada e de juros compostos MT] Visor => -149.1513
  • 48.
  • 49. FV Tipo 580 [ENTER] 0.14 [ENTER] 6 [x] 1 [+] [x] Visor => 0,000,000 580 [ENTER] 1 [ENTER] 0.14 [ENTER] 6 [x] [-] [/] Visor => 0,000,000 [f] [REG] 6 [n] 14 [i] 580 [PV] [g] [END] [FV] Visor => 0 [f] [REG] 6 [n] 14 [i] 580 [PV] [g] [END] [PMT] Visor => -149.1513
  • 50. Mexa !!!) 6 (1,067.20) (3,625.00) (1,273.08) FV TIPO [g] [END] de n para o inteiro superior. Seu valor com quatro casas é igual a 0
  • 51.
  • 53.
  • 54. 7 14.00% 620.00 144.58 1 MATEMÁGICA FINANCEIRA NO EXCE Clique sobre o valor que deseja obter Operações financeiras com juros compostos. Regime N I PV PMT þÿ 3 7 14.0000% 620.00 Juros Compostos (144.58) Resposta A prestação é igual a -144.579,27 no regime de juros compostos Operações na HP12C [f] [REG] 7 [n] 14 [i] 620 [PV] [g] [END] [PMT] Visor => -144.5793 Operações no Excel =PGTO(0.14;7;620;;0)
  • 55.
  • 56. 4 N I PV PMT JS 1 0 [ENTER] [ENTER] [ENTER] [-] 7 [/] Visor => 0,000,000 0 620 [/] 0 [-] 14 [/] Visor =>existe [x] 1 [+] [/] 1 620 [/] 1 0.14 [ENTER]7 Não 0,000,000 D 2 1 [ENTER] [ENTER] 620 [ENTER] 0 existe [/] [ENTER] 1 620 [ENTER] 0 [/]1[-] 0.14 [/] Visor => 0,000 0 [ENTER] [ENTER] 0.14 Visor => Não [/] [-] 7 JC 3 [f] [REG] [f] [REG] [f] [n] 620 [END] [n] Visor [i] Visor => 0 14 [i] 6207[PV] [g] 7 [n] [f] [REG] [END] [PV]620 [REG] [PV] 14 [i] [g] 7 => 0 . A HP [g] [END] [n] 14 [i] Vis l 3c 4 fómula ==>
  • 57. Opção : 3 juros compostos (Não Mexa !!!) 1 - Juros Simples 2 - Desconto Bancário 3 - Juros Compostos Cálculos Financeiros Gerais (Não Mexa !!!) 2 3 4 5 1 (7.14) -14.29% - Não tem 2 #DIV/0! #DIV/0! - Não tem 3 #NUM! -100.00% - (144.58) Cálculos na HP 12C - Não Mexa Nunca !!! Juros N I PV PMT 7 [n] 14 [i] 620 [PV] N [f] [REG] 14 [i] 620 [PV] [g] [END] [n] Visor => 0 . A HP aproxima o cálculo de n para o inteiro superior. Seu va I [f] [REG] 7 [n] 620 [PV] [g] [END] [i] Visor => 0 PV [f] [REG] 7 [n] 14 [i] [g] [END] [PV] Visor => 0 PMT [f] [REG] 7 [n] 14 [i] 620 [PV] [g] [END] [PMT] Visor => -144.5793 FV [f] [REG] 7 [n] 14 [i] 620 [PV] [g] [END] [FV] Visor => 0
  • 58.
  • 59. Regimes 1 - Juros simples 2 - Desconto comercial TAXA(nper;pgto;vp;vf;tipo;estimativ 3 - Juros compostos VF(taxa;nper;pgto;vp;tipo) VP(taxa;nper;pgto;vf;tipo) Tipos 0 - postecipado 1 - antecipado Legenda cod desc simb conc 1 O número períodos =NPER(0.14;;620;;0) de períodos 2 % a.p. A taxa de juros =TAXA(7;;620;;0;) 3 O valor presente =VP(0.14;7;;;0) 4 A prestação =PGTO(0.14;7;620;;0) 5 O valor futuro =VF(0.14;7;;620;0) Taxa 1 % a.d. dias 1 2 % a.m. meses 30 3 % a.b. bimestres 60 4 % a.t. trimestres 90 5 % a.q. quadrimestres 120
  • 60. 6 % a.s. semestres 180 7 % a.a. ano comercial 360 8 % a.a. (exato) ano civil 365
  • 61. Err:502 1 A NO EXCEL a obter FV Tipo þÿ 0 1 Sem entrada e de juros compostos MT] Visor => -144.5793
  • 62.
  • 63. FV Tipo 620 [ENTER] 0.14 [ENTER] 7 [x] 1 [+] [x] Visor => 0,000,000 620 [ENTER] 1 [ENTER] 0.14 [ENTER] 7 [x] [-] [/] Visor => 0,000,000 [f] [REG] 7 [n] 14 [i] 620 [PV] [g] [END] [FV] Visor => 0 [f] [REG] 7 [n] 14 [i] 620 [PV] [g] [END] [PMT] Visor => -144.5793
  • 64. Mexa !!!) 6 (1,227.60) (31,000.00) (1,551.41) FV TIPO [g] [END] de n para o inteiro superior. Seu valor com quatro casas é igual a 0
  • 65.
  • 67.
  • 68. TMA Respostas: VFL 12% PBS 3.18 VPL 3.50300 VUL PBD 5.54 TIR 13% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (140.00) (140.00) (140.00) (140.00) 1 15.00 (125.00) 1.00 13.39 (126.61) 2 63.00 (62.00) 1.00 50.22 (76.38) 3 58.00 (4.00) 1.00 41.28 (35.10) 4 22.00 18.00 0.18 13.98 (21.12) 5 30.00 48.00 17.02 (4.10) 6 15.00 63.00 7.60 3.50 7 63.00 - 3.50 8 63.00 - 3.50 9 63.00 - 3.50 10 63.00 - 3.50 Soma
  • 69. 6.91429 0.85202 1.03 PBD 1.00 1.00 1.00 1.00 1.00 0.54
  • 70. TMA Respostas: VFL 8% PBS 6.25 VPL 3.68065 VUL PBD 9.01 TIR 10% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (50.00) (50.00) (50.00) (50.00) 1 8.00 (42.00) 1.00 7.41 (42.59) 2 8.00 (34.00) 1.00 6.86 (35.73) 3 8.00 (26.00) 1.00 6.35 (29.38) 4 8.00 (18.00) 1.00 5.88 (23.50) 5 8.00 (10.00) 1.00 5.44 (18.06) 6 8.00 (2.00) 1.00 5.04 (13.02) 7 8.00 6.00 0.25 4.67 (8.35) 8 8.00 14.00 4.32 (4.03) 9 8.00 22.00 4.00 (0.02) 10 8.00 30.00 3.71 3.68 Soma
  • 71. 7.94625 0.54853 1.07 PBD 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.01
  • 72. TMA Respostas: VFL 8% PBS 2.88 VPL 160.04 VUL PBD 3.46 TIR 14% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (1,350.00) (1,350.00) (1,350.00) (1,350.00) 1 600.00 (750.00) 1.00 555.56 (794.44) 2 400.00 (350.00) 1.00 342.94 (451.51) 3 400.00 50.00 0.88 317.53 (133.98) 4 400.00 450.00 294.01 160.04 5 450.00 - 160.04 6 450.00 - 160.04 7 450.00 - 160.04 8 450.00 - 160.04 9 450.00 - 160.04 10 450.00 - 160.04 Soma
  • 73. 217.73 48.32 1.12 PBD 1.00 1.00 1.00 0.46
  • 74. TMA Respostas: VFL 8% PBS 5.78 VPL 19,033.84 VUL PBD 7.46 TIR 12% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (98,000.00) (98,000.00) (98,000.00) (98,000.00) 1 16,000.00 (82,000.00) 1.00 14,814.81 (83,185.19) 2 16,000.00 (66,000.00) 1.00 13,717.42 (69,467.76) 3 16,000.00 (50,000.00) 1.00 12,701.32 (56,766.45) 4 18,000.00 (32,000.00) 1.00 13,230.54 (43,535.91) 5 18,000.00 (14,000.00) 1.00 12,250.50 (31,285.41) 6 18,000.00 4,000.00 0.78 11,343.05 (19,942.36) 7 24,000.00 28,000.00 14,003.77 (5,938.59) 8 24,000.00 52,000.00 12,966.45 7,027.86 9 24,000.00 76,000.00 12,005.98 19,033.84 10 76,000.00 - 19,033.84 Soma
  • 75. 38,048.73 3,046.93 1.19 PBD 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.46
  • 76. TMA Respostas: VFL 8% PBS 2.64 VPL 538.50 VUL PBD 3.07 TIR 32% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (630.00) (630.00) (630.00) (630.00) 1 230.00 (400.00) 1.00 212.96 (417.04) 2 240.00 (160.00) 1.00 205.76 (211.28) 3 250.00 90.00 0.64 198.46 (12.82) 4 260.00 350.00 191.11 178.29 5 270.00 620.00 183.76 362.05 6 280.00 900.00 176.45 538.50 7 900.00 - 538.50 8 900.00 - 538.50 9 900.00 - 538.50 10 900.00 - 538.50 Soma
  • 77. 854.52 116.48 1.85 PBD 1.00 1.00 1.00 0.07
  • 78. IL = VPL/INV + 1 IL = 1.4
  • 79. TMA Respostas: VFL 3% PBS 2.00 VPL 432.27 VUL PBD 2.09 TIR 39% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (400.00) (400.00) (400.00) (400.00) 1 200.00 (200.00) 1.00 194.17 (205.83) 2 200.00 - 1.00 188.52 (17.31) 3 200.00 200.00 - 183.03 165.72 4 300.00 500.00 266.55 432.27 5 500.00 - 432.27 6 500.00 - 432.27 7 500.00 - 432.27 8 500.00 - 432.27 9 500.00 - 432.27 10 500.00 - 432.27 Soma
  • 80. 486.52 116.29 2.08 PBD 1.00 1.00 0.09
  • 81. TMA Respostas: VFL 18% PBS 4.69 VPL (39.04) VUL PBD 10.00 TIR 14% IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (300.00) (300.00) (300.00) (300.00) 1 64.00 (236.00) 1.00 54.24 (245.76) 2 64.00 (172.00) 1.00 45.96 (199.80) 3 64.00 (108.00) 1.00 38.95 (160.85) 4 64.00 (44.00) 1.00 33.01 (127.84) 5 64.00 20.00 0.69 27.97 (99.86) 6 64.00 84.00 23.71 (76.15) 7 64.00 148.00 20.09 (56.06) 8 64.00 212.00 17.03 (39.04) 9 212.00 - (39.04) 10 212.00 - (39.04) Soma
  • 82. (146.73) (9.57) 0.8699 PBD 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
  • 83. TMA Respostas: VFL PBS Não tem VPL - VUL PBD Não tem TIR Err:523 IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 - - - 1 - 1.00 - - 2 - 1.00 - - 3 - 1.00 - - 4 - 1.00 - - 5 - 1.00 - - 6 - 1.00 - - 7 - 1.00 - - 8 - 1.00 - - 9 - 1.00 - - 10 - 1.00 - - Soma
  • 85. TMA Respostas: VFL 10% PBS Não tem VPL (112.02) VUL PBD Não tem TIR Err:523 IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (50.00) (50.00) (50.00) (50.00) 1 (18.00) (68.00) 1.00 (16.36) (66.36) 2 (18.00) (86.00) 1.00 (14.88) (81.24) 3 (18.00) (104.00) 1.00 (13.52) (94.76) 4 (18.00) (122.00) 1.00 (12.29) (107.06) 5 (8.00) (130.00) 1.00 (4.97) (112.02) 6 (130.00) 1.00 - (112.02) 7 (130.00) 1.00 - (112.02) 8 (130.00) 1.00 - (112.02) 9 (130.00) 1.00 - (112.02) 10 (130.00) 1.00 - (112.02) Soma
  • 86. (180.42) (29.55) (1.24) PBD 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
  • 87. TMA Respostas: VFL 10% PBS Não tem VPL (139.88) VUL PBD Não tem TIR Err:523 IL Ano FC Saldo Simples PBS VP (FC) Saldo Desc 0 (90.00) (90.00) (90.00) (90.00) 1 (10.00) (100.00) 1.00 (9.09) (99.09) 2 (10.00) (110.00) 1.00 (8.26) (107.36) 3 (10.00) (120.00) 1.00 (7.51) (114.87) 4 (10.00) (130.00) 1.00 (6.83) (121.70) 5 (10.00) (140.00) 1.00 (6.21) (127.91) 6 (10.00) (150.00) 1.00 (5.64) (133.55) 7 (10.00) (160.00) 1.00 (5.13) (138.68) 8 (10.00) (170.00) 1.00 (4.67) (143.35) 9 (10.00) (180.00) 1.00 (4.24) (147.59) 10 20.00 (160.00) 1.00 7.71 (139.88) Soma
  • 88. (362.81) (22.76) (0.55) PBD 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00