, .. . , , .
. , , .
7.1.2.1. . .
:
dt = D: n = const,
dt ;
D ;
n ;
t , t = 1, 2, , n.
:
It = Dt q,
Dt ;
q , .
:
Yt = It + dt,
Yt .
. 100 . 10% 3 . .
:
:
dt = D: n = 100'000: 3 = 33'333,33 .
, .
(t) | (D) | (dt) | (It) | (Yt) |
100'000,00 | 33'333,33 | 10'000,00 | 43'333,33 | |
66'666,67 | 33'333,33 | 6'666,67 | 40'000,00 | |
33'333,34 | 33'333,34 | 3'333,33 | 36'666,67 | |
100'000,00 | 20'000,00 | 120'000,00 |
, 120 . , 20 . , 100 . . 11>>>
7.1.2.2. . , , :
Yt = It + dt = const.
, , , , , .
, , .
|
|
, :
Yt ;
D ;
q ;
n ;
t , t = 1, 2, , n.
. , .
:
, , :
Yt = 100'000,00: 2,486851991 = 40'211,48 .
:
Σ Yt = 40'211,48 3 = 120'634,44 .
, 40'211,48 , 120'634,44 .
.
(t) | (Dt) | (Yt) | (It) | (dt=Yt-It) |
100'000,00 | 40'211,48 | 100'00,00 | 30'211,48 | |
69'788,52 | 40'211,48 | 6'978,85 | 33'232,63 | |
36'555,89 | 40'211,48 | 3'655,59 | 36'555,89 | |
120'634,44 | 20'634,44 | 100'000,00 |
, 120'634,44 , 100 . , 20'634,44 . .
<<<11 | . |
, , . :
I = D n i
:
Σ Yt = D + I
, :
Σ Yt = (D + I): (n m),
n ;
m .
. 5 . . 2 25% . . .
:
, :
I = D n i = 5'000 2 0,25 = 2'500
:
Σ Yt = D + I = 5'000 + 2'500 = 7'500
:
Σ Yt = (D + I): (n m) = 7'500: 2 4 = 937,50
, 937,50 .
, .. , .
|
|
" 78". , 12 , 78, .
n m :
N = m n [(m n + 1): 2],
N .
:
Yt = It + dt,
It ;
dt .
:
It = I (t / N),
:
Rt = Yt - It.
, , .
t | (Dt=Dt-1-Rt) | (Yt) | [ It=I (t/N) ] | (dt=Yt-It) | |
5'000,00 | 937,50 | 555,56 | 381,94 | ||
4'618,06 | 937,50 | 486,11 | 451,39 | ||
4'166,67 | 937,50 | 416,67 | 520,83 | ||
3'645,84 | 937,50 | 347,22 | 590,28 | ||
3'055,56 | 937,50 | 277,78 | 659,72 | ||
2'395,84 | 937,50 | 208,33 | 729,17 | ||
1'666,67 | 937,50 |