.
' . . , . . ' .
: , , , . , .
, , .
:
0 1 2 3 4 5
___________________________________________________
0 ; 1 ; 2 .. , . , , , . , . , 1 1 2.
, . , , .
0 5% 1 2 3
_______________________________
- 100?
5%. ϳ 0 , 3 . . 3 . , 1 2 . , .
: 100 , 2:
0 5% 1 10% 2
_____________________
- 100?
5%, 10%. , , .
|
|
, .
. . .
: () .
, .
(FV) ' , . , . , . (r), , (I), (n) ( ), , (PV):
(4.1)
, .
I , .
- , ' , , . , , , .
, () , (, , , ..)
, , :
I = FV PV (4.2)
(4.3)
(4.4)
(4.3) , (4.4) .
(4.2) (4.3) , ( , FV) , . .
:
(4.5)
(1+nr) (). > 1:
(4.6)
. (n) :
(4.7)
, , . ,
(4.8)
, (4.9)
h ;
( ).
h :
|
|
(4.10)
:
; : (4.11)
K h :
1. , . . . , 3 12 . :
h = 29 + 28 + 12 1 = 68
:
h = h - h, (4.12)
h - ;
h - .
= 365 366 .
볿, 볿, , . .
2. , h . = 360. 360 . ³ . , 㳿, , , . .
3. . 30, = 360
h = 28 + 30 + 12 1 = 69
ͳ, , , . .
, ().
:
(4.13)
r t;
nt it;
m .
. , , , . .
() :
(4.14)
. FVIF (r, n), . (4.13) :
FV = PV FVIF (r, n) (4.15)
, .
0 r =5% 1 2 3 4 5
__________________________________________________
1,05 1,05 1,05 1,05 1,05
- 100 (PV) FV1-? FV2-? FV3-? FV4-? FV5-?
(I) 5,00 5,25 5,51 5,79 6,08
(FV) 105,00 110,25 115,76 121,55 127,63
, .
(r=r) (n<1) , , , .
, , , , . :
(4.16)
r1, r2,r12 - ;
n1, n2 ,nk -, .
(n>1), (1+n).
|
|
, :
)
(4.17)
)
(4.18)
n = a + b ;
;
b (b=b /360, 365, 366).
, , .
, , , , (j). , (m) . (FV) (n) :
, (4.19)
- ;
n = mn .
:
) ( m= 1 r= 100%):
) ( m= 2 r= 100%):
) ( m= 4 r= 100%):
) ( m= 12 r= 100%):
, , 볺 . dz , , . , , .
г , m , r re.
г (r) ' (j) , (4.14) (4.19)
.
, (4.20)
. ,
j = m [(1 + re)1/m 1] (4.21)
, ( !)
"72". , , 72 :
n = 72/r, (4.22)
n ;
r - .
"69". , , :
n = 69/r + 0,35, (4.23)
r £ 100%, .