Financiele rekenkunde : oefeningen
HOOFDSTUK 1 :
interestrekening
"
t.lk = 2500 ( 1,08) = 5397,31
"
I. 2 k = 600 ( 1,0575 '
= 775,17
"
1.3 K = 4000 ( 11025 ) = 5651,90
'"5
1.4 K = 371,84 ( 1,0 5) =
873,31
"
1.5 4960 = k ( 1,08 )
"
4960111,08 ) = k
er = 2297 , 44
" "
/ ( 1106 ) 715,47
'
1.6 2480 =
"
1.7 24790/11,0225 ) = 9736,82
"
1.8 1110
=
370 ( 1,03)
h
1110 = ( 1103 )
370
en 3 = n.lk ( 1,03)
en 3
= m
en 1,03
Ms 37,167 = 37 jaar 2 maand en 2. dagen
"
1.9 6042,80 =
1820 ( 1,1 )
n = en ( 6042,811820)
en 1,1
12,591 12 3
µ = =
jaar 7- maand en
dagen
"
1.10 124 =
50 ( 1,025 )
en ( 124150) = 2n
en 1,025
18 391 18 jaar 4mmol 21 d
µ =
,
=
8
l " 25011 e)
'
.
353,27 = 1-
' 's
i = ( 353,271250 ) -1
i = 4,42%
"
1.12
743,68 495 ( ste )
'
=
" "
i = ( 743,681495 ) -
1
i = 2,06 %
"
1.13 2 = 1 ( 1,05 )
en (2) = n
lint , 05
n = 14 jaar 2M 15 d
, 4h
1.14 3=1 ( 1,0175 )
en (3) =
4N
en 1,0175
n =
15 jaar 10 mnd Od .
14
1,0475 )
" 15
K = 100 ( = 191,49
"
191,49 = k ( 1,0375 )
er =
106,25
2475 t -1 k ttl
1.16
, I I I )
-97 +100
4x100 = k ( htt) →
100 = K ( ( 1ft ) -1 ) K =
10010,0309
4=(4-97) ( stil =
3233,33
Ht 100 # =
in -
#-97) ( htt )
100 =
97 ( htt )
100197 -1 = i
is 3,09%
"
3233,33 =
2475 ( 1,0309 ) snoet 9 z n?
n =
en (3233,33/2475) = 8 jaar 9M Hd
en 1,0309
4-5 K 41-5
1. 17
I I I )
-
422,02 +507,30
'
Ht 507,3 =
K ( stil →
507,3 =
Klatt ) 5-1) 4=507,3/11,037575-1
5
K =
( K -
422,02 ) ( htt ) =
2510,15
µ +507,3 -
IK = Vi -
VK -
422,02) ( stilte
5
507,3 =
422,02 ( ste )
" 5
i =
(507,3/422,02) -
1
i. =
3,75%
"' "
1.18 Kati) ter =
3k ( stil
" 20
# ( stil -30 ( wi )
"
+4=0 stel 2=(11-1) al
22 -
32 -11 =D
' "°
'
( 2) 1 i i. 4,93%
µ
D= b -
40C =
9-4=5 -
=
21,2 =
-
b ± TD 3+55/2 =
2,618
Ze
3
-
55/2 =
0/382
<1
ij
, " "
1.19 248 ( 1,06 ) = 310 ( 1,03)
]
"
] [ 310 ( 1.03)
"
en [ 248 ( 1,06) = en
en 248 t mln 1,06 = en 310 + mln 1,03
en 248 -
In 310 =
mln 1,03 -
hln 1,06
en 248 -
in 310 = n n '
7J 9M 9A
en 1,03 -
en 1,06
70000 40000 40000
1.20 41 = 40000 -
5J 1 1 '
t
42 = 40000
'
10J
stift 40000 ( ste )
'°
-
70000
'
40000 (
in
f.
=
.
t
+ „
" ' '
7- ( stil =
4 ( stil t 4 stel 2 = ( htt )
-
722 -
42 -
4 =D
D= 16 t 4. 4.7 =
128
"'
2,2 -
b ± TD =
1,093 → i = 2 -1 =
1,81%
2h
1.21
j =
0,05
Jim)
"
e- = ( 1 trim) ) en rem) :
m m
i =
( 1 +
Jim) )
'
(1
a) Serrant = 2
tof ) =
5,06 %
b) trinest =
4 5,09%
C) maand =
12 → 5,11 %
d) degel =
365 -
5,13%
1.22 i =
0,05
' ' m
rem ) = ( 1 + i) -
1
a) nl 2) =
2,47%
j (2) = MC2) . 2 =
4,94%
b) 214 ) = 1, 23%
j (4) 4,91%
=
C) rllz ) =
0,41%
j ( 12 ) =
4,89%
1.23 i = 6,5%
a) nl 2) =
3,2%
jlz) = 6 , 4%
b) 2112) = 0,53%
6, 31 %
j ( 12 ) =