.
- . : .
- . : .
- . : .
* .
: , .
: 11 + 1 . 11 5.0. 90 , .
, ( ). , .
, .
() .
= 12% -
i = 0,12
Q = 1+ i = 1,12 .
i = P/100
Q = 1+i
2. .
. (0), (n) (p).
(p) , 100 . * *.
:
Kn = K0*(1+in) ( 2)
: 7500. 4% . 5 .
.
. .
, , , .
Kn = K0 * q^n ( 4)
: 7500 4 % . 5 .
:
: :
K0 = 7500 Kn = K0 * q^n
n = 5 Kn = 7500 * 1,04^5 = 9127, 87
q = 1,04
Kn -?
:
- . : 15,12
- : i, q. 5 : 0,12345
, .
K0 = Kn / q^n ( 5)
6
: 0 20 5000. = 4,5 . 0.
: K0 = 5000/ 1,045 ^ 20 = 2073, 21
: , 10 ?
: q -?
N = 10
K0 = x
Kn = 2x
Q ( 6 ) = 1, 07177
: = 7, 177
N = log Kn log K0 / log q ( 7)
2.2.2. .
.
.
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Kn = K0/(1-i)^n ( 4V)
K0 = Kn * (1-i)^n ( 5V)
: 4% . 3000 10 .
:
I = 0,04
N = 10
K0 = 3000
Kn -?
_______
1) Kn = 3000/(1-0,04)^10= 4512, 41
2) Kn = 3000 * 1,04^10 = 4440, 73
: Kn . = 4512,41; Kn . = 4440,73.
* , ( 4,5,6)*
.
() , 4,5,6,7, 8. i*, i 4,5,6,7, 8.
i* = i / 1-i I ( 8).
.
1. 10000 10 6% . ? .
:
K0 = 10000
N = 10
I = 0,06
Kn -?
_______
1) Kn = 10000 / (1-0,06)^10 = 18566, 13
2) Kn = 10000 * 1,06^10 = 17908, 47
: Kn = 17908, 47; Kn = 18566, 13
2. 5 10000. 6,5 % ?
:
Kn = 10000
q = 1,065
N = 5
K0 -?
_______
1) K0 = 10000/1,065 = 7298, 84 ( 5).
: K0 = 7298, 84
3. , 10 ?
:
Q = (6) = 107
: p =
4. 4% . ?
K0 = x
Kn = 2x
Q = 1,04
N -?_______
N = log 2x log x / log 1,04 = log 2 / log 1,04 = 17, 67
: n = 17,67. .
5. . 4 :
1) , 95000.
2) 115000 3 .
3) 130000 6 .
4) 50000
- 55000 2 .
, 5,5 .
:
.
1) 95000
2) K0 = Kn / q^n
K0 = 115000 / 1, 055^3 = 97925, 57
3) K0 = 130000 / 1, 055^6 = 94291, 96
4) 55000 / 1,055^2 = 49414, 88
- 50000 + 49414, 88 = 99414, 88.
: 3 .
6. 01.01.1986 . 100000 . 31.12.1992 . 145000.
1) ?
2) 6,5 % . ?
:
N = 7
K0 = 100000
Kn = 145000
P -?
_________
1) Q = (#6) = 1,05451
P = 5, 451 %
2) 6, 5 > 5,5.
/ 7,8,9.
2.3 .
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