Trabalho Matemática Financeira Aula 1 e Aula 2

42
Juros Compostos PLT 623 Matemática Financeira Exercícios paginas ( HP12C EX: 5000PV 7430.475702 5.1 4,5i 9n 7,430.47 EX: 5000PV 5978.090857 5.2 1,5i 12n 5978.09 EX: 1000PV 1250.577394 5.3 1,25i 18n 1250.58 EX: 2800PV 3104.41005 5.4 3,5i Carlos 3n 3104.41 EX: 2000PV 2217.43575 5.4 3,5i João 3n 2217.44 EX: 1000PV 1108.717875 5.4 3,5i Ricardo 3n 1108.72 EX: 5800PV 6430.563675 5.5 3,5i 3n 6,430.56 EX: 7000PV 12894.4179 5.6 16,5i 4n 12894.42 EX: 1200PV 1322.82476 5.7 0,0557i 175n 1,322.82 EX: 340 PV 357 5.8 5i 1n fv 357,00

description

HP financeira e Excel

Transcript of Trabalho Matemática Financeira Aula 1 e Aula 2

Page 1: Trabalho Matemática Financeira Aula 1 e Aula 2

Juros Compostos PLT 623 Matemática Financeira Exercícios paginas (76;77;81;82;86;87;91;92) exercícios 1 ao 50 HP12C FÓRMULA

EX: 5000PV 7430.4757021 5.1 4,5i

9n7,430.47

EX: 5000PV 5978.0908573 5.2 1,5i

12n5978.09

EX: 1000PV 1250.5773941 5.3 1,25i

18n1250.58

EX: 2800PV 3104.41005 5.4 3,5iCarlos 3n

3104.41 EX: 2000PV 2217.43575 5.4 3,5iJoão 3n

2217.44 EX: 1000PV 1108.717875 5.4 3,5iRicardo 3n

1108.72

EX: 5800PV 6430.563675 5.5 3,5i

3n6,430.56

EX: 7000PV 12894.417904 5.6 16,5i

4n12894.42

EX: 1200PV 1322.8247603 5.7 0,0557i

175n1,322.82

EX: 340 PV 357 5.8 5i

1nfv 357,00

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EX: 340 PV 374.85 5.8 5i

1nFV 374,85

EX: 8000PV 10555.830105 5.9 2i

14n10,555.83

EX: 6800PV 11959.523819 5.10 8,4i

7nFV 11959,52

EX: 1000PV 2842.1238452 5.11 2,2i

48nFV 2.842,12

EX: 3000PV 4054.1833608 5.12 0,84i

36nFV 4.054,18

EX: 5000PV 6193.6026579 5.13 1,8i

12nFV 6.193,60

EX: 1400PV 2031.3174692 5.14 6,4i

6nFV 2031,32

AULA 2

HP12C FÓRMULAEX: 20.000 FV 15751.3225485.15 24n

1iPV 15.751,32

EX: 2347,94 CHS FV 1389.74207855.16 9n CHS troca o sinal

Page 3: Trabalho Matemática Financeira Aula 1 e Aula 2

6i1389.74

EX: 1587 FV 1080.08553375.17 8i

5nPV 1.080,09 CHS troca sinal

EX: 28,224.08 CHS FV 11849.9965375.18 7,5i

12nPV 11.850,00

EX: 50000Fv 39062.8288275.19 4,2i CHS troca o sinal

6nDuplic. 1 PV 39.062,83

Ex: 90000 FV 62148.8416845.19 4,2i CHS troca o sinal

9nPV 62.148,84

EX: 200000 FV 200000 CHS FV 122072.367685.19 4,2i 4,2i

12n 12nPV 122.072,37 PV 122.072,37

EX: 1200 CHS FV 922.52510089

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5.20 5,4i5nPV 922,53

EX: 6300 CHS FV 5548.69541715.21 1,6i

8nPV 5.548,69

Ex: 26894,30 CHS FV 22499.9972495.22 1,8i

10nPV 22.500,00

EX: 9000 chs FV 6221.91743425.23 1,55i

24nPV 6.221,92

EX: 1300 CHS FV 412.412324915.24 4,9i

24nPV 412,41

400444

4444

EX: 400000 CHS FV 67009.275349

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5.25 1,5i120nPV 67.009,28

EX: 30000 CHSFV 21995.6667355.26 2,62i

12nPV 21.995,67

EX: 7215,26 FV 4000.0020215.27 9,5i

6,5nPV 3995,88

EX: 10240 FV 9087.48006675.28 1i

12nPV 9.087,48 CHS troca sinal

EX: 4000 CHS PV 7.99998678735.29 4873 FV

2,5in 8 Meses

EX: 4000 CHS PV 9.0064683425.30 8000FV

8in 10 meses

EX: 1000 CHS PV 5

Page 6: Trabalho Matemática Financeira Aula 1 e Aula 2

5.31 1610,51FV10in 5 meses

EX: 500 CHS PV -2.6193068895.32 580 FV

6in 3 meses

EX: 3450 CHS PV 9.00001712165.33 4236 FV

2,5in 9 meses

EX: 449,80 chs PV 5.90542418945.34 600FV

5in 6 meses

EX: 25000CHSPV 3.82954749795.35 20000FV

6in 4 trimestres

EX: 629,20CHSPV 12.5793263445.36 858,50FV ,

2in 13 meses

EX: 2560CHSPV 4.5227515602

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5.37 5839,25FV20in 5anos

EX: 1000 CHS PV 11.9999789575.38 1425,76 FV

3in 12 meses

EX: 80000 CHS PV 0.06668348635.39 12n 6.6683486

173586,86 FVi 6,6683 % ao m

EX: 8000 CHS PV 0.14861491875.40 5n 14.8614919

15994,19 FVi 14,8615 ao a

EX: 800 CHS PV 0.05963402275.41 7n 5.9634023

1200 FVi 5,963 a.m

EX: 3200 CHS PV 0.05004962025.42 12n 5.004962

5750 FVi 5,005 a.m

EX: 550 CHS PV -98.89628726

Page 8: Trabalho Matemática Financeira Aula 1 e Aula 2

5.43 2n670 FVi 10,37 a.m

EX: 2150 CHS PV 0.04108605335.44 7n 4.1086053

2850 FVi 4,109 % a.m

EX: 132,15 CHS PV 0.00749991815.45 180n 0.7499918

507,19 FVi 0,750 a.m

EX: 6000 CHS PV 0.02749977585.46 18n 2.7499776

9777,38 FVi 2750 a.m

EX: 300 CHS PV 0.02507380455.47 37 n 2.5073804

750 FVi 2,507 % a.m

EX: 1500 CHS PV 0.02970124715.48 18n 2.9701247

2540,35 FVi 29,69 % a.m

EX: 540 CHS PV 0.1289999846

Page 9: Trabalho Matemática Financeira Aula 1 e Aula 2

5.49 18n 12.89999854796,06 FVi 12,900 % a.m

EX: 4150 CHS PV 0.03006275535.50 4 n 3.0062755R:a) 4672 FV

i 3,006 % a.m

EX: 4672 CHS PV5.50 7 nR:B) 4940 FV

i 0,800 % a.m

EX: 4150 CHS PV -0.0157167285.50 11 n 1.571673R:C) 4940 FV

i 1,597 % a.m

i 0.025 0.05 0.075 0.1 0.125 0.15 0.175 0.21 0.97561 0.666667 0.93023256 0.909091 0.666667 0.8695652174 0.085106 0.8333332 1.927424 0.911111 1.79556517 1.735537 1.111111 1.6257088847 0.146129 1.5277783 2.856024 0.934074 2.60052574 2.486852 1.407407 2.2832251171 0.188185 2.1064814 3.761974 0.851383 3.34932627 3.169865 1.604938 2.8549783627 0.215423 2.5887355 4.645828 0.727655 4.0458849 3.790787 1.736626 3.352155098 0.231196 2.9906126 5.508125 0.59715 4.69384642 4.355261 1.824417 3.7844826939 0.238205 3.325517 6.349391 0.476533 5.29660132 4.868419 1.882945 4.1604197338 0.238615 3.6045928 7.170137 0.372591 5.85730355 5.334926 1.921963 4.4873215077 0.234153 3.837169 7.970866 0.286826 6.37888703 5.759024 1.947975 4.7715839197 0.226191 4.030967

10 8.752064 0.21812 6.86408096 6.144567 1.965317 5.0187686259 0.215807 4.19247211 9.514209 0.164245 7.31542415 6.495061 1.976878 5.2337118486 0.203846 4.3270612 10.25776 0.122679 7.73527827 6.813692 1.984585 5.4206189988 0.190961 4.43921713 10.98318 0.091013 8.12584026 7.103356 1.989724 5.5831469554 0.177653 4.53268114 11.69091 0.067135 8.48915373 7.366687 1.993149 5.7244756134 0.164298 4.61056715 12.38138 0.049278 8.82711975 7.60608 1.995433 5.8473700986 0.151176 4.67547316 13.055 0.036017 9.14150674 7.823709 1.996955 5.9542348684 0.138487 4.72956117 13.7122 0.026227 9.43395976 8.021553 1.99797 6.0471607551 0.126371 4.774634

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17 13.7122 0.026227 9.43395976 8.021553 1.99797 6.0471607551 0.126371 4.77463419 14.97889 0.013776 9.95907821 8.36492 1.999098 6.1982311948 0.104184 4.84349620 15.58916 0.009944 10.1944914 8.513564 1.999399 6.2593314737 0.094193 4.8695821 16.18455 0.007161 10.4134803 8.648694 1.999599 6.3124621511 0.08495 4.89131622 16.76541 0.005146 10.617191 8.77154 1.999733 6.3586627401 0.076441 4.9094323 17.33211 0.003692 10.8066893 8.883218 1.999822 6.3988371653 0.068645 4.92452524 17.88499 0.002644 10.9829668 8.984744 1.999881 6.4337714481 0.061528 4.937104

EX: 40000 PV 1620.16014396.12 36 N

2,2 IPMT 1.620,16

EX: 100000 PV 32923.4436316.13 4 N

12 IPMT 32.923,44

EX: 29,80 pmt 267.736703066.14 12 N

4,76 Ipv 267,74

EX: 88,32 PMT 172.743623976.15 2 N

1,5 IPV172,74

EX: 78,99PMT 830.864778726.16 11n

3iPV730,86 +ent. 100,00

830.86

EX: 2200PV 419.676185526.17 6n

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4iPMT419,68

EX: 200PMT 1227.48561336.18 7n

3,4iPV1227,49

EX: 2860PMT 41335.1964466.19 18n

2,42iPV41335,20

EX: 39,99PMT 378.757468186.20 10n

1iPV378,76

EX: 348000ENTER 2995.67340266.21 40%

208800PV120n1iPMT2995,67

EX: 220000ENTER 4678.60602396.22 20%

176000PV60n1,68iPMT4.678,61

EX:6.23 1200PMT 25492.06470924n

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1iPV25.492,06

EX: 780PV 151.570422286.24 8n

11iPMT151,57

EX: 21000PMT 95838.8873166.25 7n

12iPV95.838,89

EX: 17000ENTER 112509.273926.26 15%

14450PMT9n3iPV112.509,27

EXERCÍCIOS 2 SEMESTRE HP12C E EXCEL

EXERCÍCIOS PLT 623 INÍCIO PAG. 124

EX:6.35 1500PV EX:6.35HP12C 10N EXCEL

5IFUNÇÃO PMT 185,01G7

EX:6.36 900PV EX:6.36HP12C 12N EXCEL

3I

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G7 PMT 87,78

EX:6.37 1380PV EX:6.37HP12C 6N EXCEL

PMT 251,38G7

EX:6.38 1790PV EX:6.38HP12C 7N EXCEL

3IG7 PMT 278,94

EX:6.39 1900PV EX:6.39HP12C 7N EXCEL

3IG7 PMT 296,08

EX:6.40 9800PV EX:6.40HP12C 10N EXCEL

2,7IPMT 1101,60

G7

EX:6.41 2900PV EX:6.41HP12C 18N EXCEL

5,5IG7 PMT 244,42

EX:6.42 825PV EX:6.42HP12C 6N EXCEL

6,9IG7 PMT 161,41

EX:6.43 1525PV EX:6.42HP12C 6N EXCEL

6,9IG7 PMT 298,36

Page 14: Trabalho Matemática Financeira Aula 1 e Aula 2

EX:6.44 110000PV EX:6.44HP12C 120N EXCEL

1IG7 PMT 1562,55

EX:6.45 110000PV 1562.55 EX:6.45HP12C 120N ENTER EXCEL

1I 1578.18 -G7 PMT 1562,55 15,63ENTER

120*1875.6

EX:6.46 230PMT EX:6.46HP12C 0 VF não precisa colocar 0 VF EXCEL

6NG7 3.6I

VP1.265,53

EX:6.47 1599 CHS PMT EX:6.46HP12C 12N EXCEL

3.9IG7 VP 15682,86 TIPO 1

EX:6.48 350CHS PMT EX:6.4812N EXCEL2I

G7 VP 3775,40

EX:6.49 59,50 CHS PMT EX6.49HP12C 24 N EXCEL

4,20 IG7 VP 926,23

EX:6.50 200 CHS PMT EX:6.50HP12C 10N EXCEL

3IG7 VP 1757,22 G7

Page 15: Trabalho Matemática Financeira Aula 1 e Aula 2

EX:6.51 600 CHS VP EX:6.51a) 15N EXCELHP12C 3 I

PMT 50,26

EX:6.51 600 CHS VP EX:6.51HP12C 12 N EXCEL

3 IPMT 60,28

EX:651 600 CHS VP EX:6.51HP12C 18 N EXCEL

3 IG7 PMT 42,35

EX:6.51 600 CHS VP EX:6.51HP12C 20 N EXCEL

3 IG7 PMT 39,15

EX:6.51 600 CHS VP EX:6.51HP12C 36 N EXCEL

3 IPMT 27,48

EX:6.51 600 CHS VP EX:6.51HP12C 6 N EXCEL

3 IG7 PMT 107,53

EX:6.52 17299,99 CHS VP EX:6.52HP12C 12 N EXCEL

3,72 IG7 PMT 1748,48

Page 16: Trabalho Matemática Financeira Aula 1 e Aula 2

EX:6.53 17299,99 CHS VP EX:6.53HP12C 12 N EXCEL

3,72 ISem PMT 1813,53Entrda

EX:6.54 230 CHS PMT EX:6.54HP12C 6 N EXCEL

4,60 Ig7 VP 1236,89ComEntrada

EX:6.55 130000 CHS VP EX:6.55HP12C 12 N EXCEL

2,63 IS/Entrada PMT 12773,29 S/Entrada

Tipo 0

EX:6.55 130000 CHS VP EX:6.55HP12C 12 N EXCELC/Entrada 2,63 I C/Entradag7 PMT 12.445,96 Tipo 1

EX:6.55 130000CHS VP EX:6.55HP12C 24 n EXCELS/Entrada 2,63 i S/Entrada

PMT 7.343,46

EX:6.55 130000 CHS VP EX:6.55HP12C 24 n EXCELC/Entrada 2,63 i C/Entradag7 PMT 7.184,51 Tipo 1

EX6.56 1200CHS VP EX:6.56HP12C 9 n POSTECIPADO EXCEL

5,6 i S/Entrada

Page 17: Trabalho Matemática Financeira Aula 1 e Aula 2

PMT 173,37

EX:6.57 980 CHS VP EX:6.57HP12C 5 n EXCELC/Entrada 7,2 i C/Entrada

PMT 224,16 g7

EX:6.58 100 CHS PMT EX:6.58HP12C 100 n EXCELC/Entrada 1,10ig7 VF 18.254,77 C/Entrada

EX:6.59 50CHS PMT EX:6.59HP12C 0,78 i EXCEL

60 n Tipo 1g7 VF 3836,75

EX:6.60 14300 CHS VF EX:6.60HP12C 50 n EXCEL

2,10 i Tipo 1g7 PMT 161,01 C/EntradaC/Entrada

EX:6.61 550 CHS PMT EX:6.61HP12C 24n EXCEL

2,40 iVP 9946,29

EX:6.61 1500 CHS PMT 9946.29 EX:6.61HP12C 4n ENTER EXCEL

15,30 i 4256.61VP 4.256,61 +

14,202.90

EX:6.62 120000 CHS VP não vale a pena ex:6.62HP12C 1n $ 120000 a 1,5 ao mês excel

1,5 i rende $ 1800,00.

Page 18: Trabalho Matemática Financeira Aula 1 e Aula 2

VF 121.800,0 com o aluguel rende apenas $1200,001800,00>1200,00

EX:6.63 EX:6.63HP12C EXCEL

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Page 20: Trabalho Matemática Financeira Aula 1 e Aula 2

EX:7.1 9500 VP EX:7.1HP12C 398 CHS PMT EXCEL

37 n Tipo 1g7 i 2,69% ao mês

EX:7.2 20600VP EX:7.2HP12C 1123,71CHS PMT EXCELg7 24 n Tipo 1

i 2,50

EX:6.73 550000VP EX:6.73HP12C 98000CHS PMT EXCELg7 7 n

i 8,08% ao trimestre

EX:7.74 1305PV Ex:7.74HP12C 145CHS PMT EXCEL

10n Tipo 1g7 i 2,42% ao mês

EX:7.75 1150PV EX:7.75HP12C 145CHS PMT EXCEL g7 10 n Tipo 1

i 5,57% ao mês

EX:6.76 3900 VP EX:6.76HP12C 414 CHS PMT EXCELg7 12 n c/entrada

i 4,74% Não mês ou Tipo 1

Page 21: Trabalho Matemática Financeira Aula 1 e Aula 2

Juros Compostos PLT 623 Matemática Financeira Exercícios paginas (76;77;81;82;86;87;91;92) exercícios 1 ao 50 50 EX:5.28 não cana prova EXCEL

-R$ 7,430.48

-R$ 5,978.09

-R$ 1,250.58

-R$ 3,104.41

-R$ 2,217.44

-R$ 1,108.72

-R$ 6,430.56

-R$ 12,894.42

-R$ 1,322.82

-R$ 357.00

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-R$ 374.85

-R$ 10,555.83

-R$ 11,959.52

-R$ 2,842.12

-R$ 4,054.18

-R$ 6,193.60

-R$ 2,031.32

EXCEL-R$ 15,751.32

-R$ 1,389.74

Page 23: Trabalho Matemática Financeira Aula 1 e Aula 2

-R$ 1,080.09

-R$ 11,850.00

-R$ 39,062.83

-R$ 62,148.84

-R$ 122,072.37

-R$ 922.53

Page 24: Trabalho Matemática Financeira Aula 1 e Aula 2

-R$ 5,548.70

-R$ 22,500.00

-R$ 6,221.92

-R$ 412.41

-R$ 67,009.28

Page 25: Trabalho Matemática Financeira Aula 1 e Aula 2

-R$ 21,995.67

-R$ 4,000.00

-R$ 9,087.48

7.99998678735

9.006468342

5

Page 26: Trabalho Matemática Financeira Aula 1 e Aula 2

2.61930688911

-9.0000171216

5.9054241894

3.82954749795

12.5793263439

4.52275156018

Page 27: Trabalho Matemática Financeira Aula 1 e Aula 2

11.9999789566

7%

15%

6%

5%

10%

Page 28: Trabalho Matemática Financeira Aula 1 e Aula 2

4%

1%

3%

3%

3%

13%

Page 29: Trabalho Matemática Financeira Aula 1 e Aula 2

3%

1%

2%

Page 30: Trabalho Matemática Financeira Aula 1 e Aula 2

R$ 1,620.16

R$ 32,923.44

R$ 267.74

R$ 172.74

R$ 730.86830.86

R$ 419.68

Page 31: Trabalho Matemática Financeira Aula 1 e Aula 2

R$ 1,227.49

R$ 41,335.20

R$ 378.76

R$ 2,995.67

R$ 4,678.61

R$ 25,492.06

Page 32: Trabalho Matemática Financeira Aula 1 e Aula 2

R$ 151.57

R$ 95,838.89

R$ 112,509.27

EXERCÍCIOS 2 SEMESTRE HP12C E EXCEL

EXERCÍCIOS PLT 623 INÍCIO PAG. 124

R$ 185.01

R$ 87.78

Page 33: Trabalho Matemática Financeira Aula 1 e Aula 2

R$ 251.38

R$ 278.94

R$ 296.08

R$ 1,101.60

R$ 244.42

R$ 161.41

Page 34: Trabalho Matemática Financeira Aula 1 e Aula 2

PagamentoTaxa 0,01Nper 120 meses

R$ 1,562.55 VF ---Tipo 1

R$ 1,578.18R$ 15.63

R$ 1,875.07

R$ 1,265.53 Valor PresenteTaxa 0,036Perìodo 6 VEZESVF ---Tipo 1

R$ 15,682.86

R$ 3,775.40

R$ 926.23

R$ 926.23

R$ 1,757.22

Page 35: Trabalho Matemática Financeira Aula 1 e Aula 2

R$ 50.26

R$ 60.28

R$ 42.35

R$ 39.15

R$ 27.48

R$ 107.53

R$ 1,748.48

Page 36: Trabalho Matemática Financeira Aula 1 e Aula 2

R$ 1,813.53

R$ 1,236.89

R$ 12,773.29

R$ 12,445.96

R$ 7,373.46

R$ 7,184.51

POSTECIPADOS/Entrada

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R$ 173.37

R$ 224.16

R$ 18,254.77

R$ 3,836.75

R$ 161.01

R$ 9,946.29

R$ 4,256.61R$ 14,202.90

Page 38: Trabalho Matemática Financeira Aula 1 e Aula 2

R$ 121,800.00TRUE

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Função Taxa

3%

Taxa

2%

8%

2%

6%

Taxa

5%