Problemas de Matem tica Financeira Solu o 1

RESPOSTA DOS PROBLEMAS DE
MATEMÁTICA FINANCEIRA

Francisco Sylvio de O. Mazzucca
Arthur Ridolfo Neto

Francisco Sylvio de O. Mazzucca e Arthur Ridolfo Neto são professores do Departamento de Contabilidade, Finanças e Controle da FGV-EAESP.

RESPOSTAS DOS PROBLEMAS DE MATEMÁTICA FINANCEIRA

RESPOSTAS DOS PROBLEMAS DE
MATEMÁTICA FINANCEIRA

(A.1)
(A.2)
(A.3)
(A.4)
(A.5)
(A.6)
(A.7)
(A.8)

(A.9)

FV = $12.682
PMT = $143.355
a)PMT = $78.405
b)PMT = $77.019 i = 23,42% a.a.
a)FV = $6.820
b)FV = $6.977
a)PV = $3.484
b)PV = $3,588 i = 3,08% a.m.
BEG 6 m = 0,18258
12 m = 0,10146
24 m = 0,06190
END 6 m = 0,18952
12 m = 0,10532
24 m = 0,06425 i = 1,94% a.m.

(A.10) $1,500 em 6 meses
(PV = $1.085)
(A.11) $1.000 agora
(PV = $962)

(B.1)
(B.2)
(B.3)
(B.4)
(B.5)

ia = 15,39% a.a. im = 1,53% a.m. is = 14,12% a.s. id = 0,0388% a.d. ia = 6,17% a.d.

(B.6)

im = 1,39% a.m. ilin = 1,50% a.m.

(C.1)

(C.2)
(C.3)
(C.4)
(C.5)
(C.6)

a)FV = $112.924
b)FV = $192.690
c)FV = $324.674
PV = $1.236.212
FV = $14.859
PMT = $9.951
PMT = $5.960
NP = $1.312.952

a)PV = $10.970
b)FV = $4.404
c)PV = $7.800
(C.9) PV = $22.213
(C.10) PMT = $1.858.478
(C.11) a) Tyson ($4.656)
b) 28,44% a.a.

(E.6)
(E.7)

Desc Máx = 10,90%
Impacto = 2,35% a menos (E.8) a) $2.600,92
b) 1,74%
(E9) a) $2.629,50
b) 1,83%
(E10) a) i= 1,19%
b) TIR = 1,37%

(C.8)

(D.1)
(D.2)

a) i = 2,92% a.m.
b) i = 3,50% a.m. i = 1,39% a.m.

(F.1)
(F.2)
(F.3)
(F.4)

FV = $116.600
FV = $135.956 iR = 15,38% a.a.
CM Ind = 7,14% aa
CM > 7,14% – Fixo
CM < 7,14% – Var.

(G.1)

a) iA = 3,70% a.m. iB = 3,90% a.m. iC = 4,63% a.m.
b) em “C”
c) em “C”
Não seria afetada

(G.2)

(E.1)
(E.2)
(E.3)
(E.4)
(E.5)

À vista ($18 x $18,6)
a)i = 5,31% a.m.
b)i = 6,09% a.m. i = 4,01% a.m.
91,58% do nominal
Tx Indif = 6,31% a.m.
Comp.: desconto se
Tx Merc < 6,31% am
Vend.: desconto se
Tx Merc > 6,31% am

(H.1)
(H.2)
(H.3)

8 (HP) 7,9 (EXCELL)
$371.581,45
$36.100,00
$216.600,00
(H.4) a) $1.417,50
b) $19.582,50
c) 3,71% ao mês
(H.5) $158.448,38
(H.6) $8.888,88
(H.7)