Alle oefeningen Financiële Rekenkunde (OPGELOST), Handelswetenschappen UGent

,Oefeningen hoofdstuk a




.
4
oef




i 6 0 , 06
geg : = % =




R = 620

t = 3 maanden



3
I = R .
i .
t = 620 -
0, 06 = 9 , 30 E
12




1 2
of .




i 6 % 0 , 06
geg : = =




d 72
=
dagen
R = 2000

d = 10 + 30 + 30 + 1 = 79



exacte intrest gewone intrest
exacte
tijd I R i t I 2000 0, 06
.
. .
=
.
=




= 2000 -
0, 06 . 72 = 23 , 67
360
= 24

2000 0, 0
benaderchtijd I 2000 0, 06.
=
-
=

365
= 23, 67 = 23 , 34




3
of 1 .




R 5500
geg : =




i = 12 , 75 % = 0 , 1875

t = G maanden



k = k + k .
i .
t = 5500 + 5500 -
0 1275
,
.




8 = 5850 ,
625E

,of 1. 4 .




R 10
geg : = 000

r(2) = 3% = 0, 03
per semester
t = 72 dagen


j(2) = 2 .
r(2) = 2 .

0 , 03 = 0
,
06




k R R i t 10000 06 72 120 E
+ + 10000 0. 10
. . -
·
= = =

360




1 5
of .




i 8 0 , 08
geg : = % =




4 = 300

t = 1 semester = 6 maand



300
k k + r i t R(x + 2 x) R
ac 288 , 46E
- -

=
-

= = = = =
6
n + 0 , 08 .




12




6
of 1 .




i 6 %
geg : = = 0 , 06

k = 500

t = 199
dagen


k R + k .
2 .
t k(x + i t) R K 500 490 , 92E
=
.

= = = = =

n + i .
t a + 0 , 06 .
449

360




op n .
7




geg : ~(2) = 3% = 0, 03


na 8 maanden : K = 92 , 81




j(m) = 2 .
r(m) = 2 .

0, 03 = 0 06
,




k k + R i t R( + i b) R
=9 89 , 24038461538
. .

=
.
= = =

, i
k k + k t 89, 24038461538 + 89, 24038461538 0, 06
.,2 94 , 15E
. - .
= = =




S
op a .




: 1 semester 6 maander
geg = =



R = 2975

I = 180



180
T 1210084
I = r -
i -

t = i = = = 0
,
6
2975 .




12 i = 12
,
10 %




9
oe 1 .




R 50
geg : =




k = 51 , 56

t = 300 dagen


t)
k k + k . 2. t k(x + i =
k a + it
-

= = =




k n i t
.
-
=




i
55
360



i = 0 , 03744

i =
3 74 %
,




of 1 10.




no 4 maanden K .33 , 6
2
geg : : =




na 7 maanden : K = 235 , 92




ky k(x i
ty) = =ik
S
= + -




(1 itz) +




ky = k(x + i .


4y) kn + kyity =
ky + Kyity


knity kyity ky ku
- -
=




i(ky+z kyty) -
=
kz
-




ku