PV FV, FVa. , , .
:
ia ─ , ;
da ─ , ;
ja ─ , ,
f ─ , .
. FV, FVt, (3.1):
FVa=PV(1 + ia ).
:
FVa = PV(l + i)(l + a),
, , , ia ─ , :
(1 + ia ) = (l + i)(l + a),
,
|
.Գ. α + α , , 쳺.
. .
:
FVa = PV (1 + n ia )
FV. = PV (1 + n i ) I.
:
(5.7)
:
(5.8)
. :
Sa=(1+ica)n i Sa=(1+ic)Ii,
(1+ia)n = (1+ic) Ii ,
(5.9)
(m) ,
(5.10)
Ja - .
:
(5.11)
(5.12)
fa - .
, , , , , . (5.7) , , , :
(5.13)
1. 5.. 2 . 20% . .150% . , , , .
|
|
:
PV = 5 .
i = 20%
n = 2
|
k-? Ia-?.
FV-?
2. 20 . . 3 , 80 %. , 90%.
:
PV = 20 . Ii = (1+a)n,
n = 3 I□=(1+0,9)3=6.859
j = 80% Ja=m [(1+j/m) ]
Jc-? Jc=[(1+0.8/4) ] 4 =1.64 = 164%,
FV-? FV = 2 . (1+1.64/4)12=1 . 234 . .
- .
, . . ( ) , , , . . ³ , .
ֳ , . , .
(1) (2):
. (1)
, ;
ֳ ;
- ;
- .
. (2)
, - .
, , , (3,4) (5,6):
. (3) . (5)
. (4) . (6)
( = = ),
. (7)
, , . , , :
. (8)
. (9)
1. 12% , 10% , 10,5% . ֳ 100 . . , .
(8,9)
..
. .
2. 12% . 10,5% . , 50 . ., 6 .
(7)
47,75 . .
3. 16% . 12% . ֳ 100 . ., , 6 . , . , . ' = 105 . .
|
|
(3,4)
. .
. .
= = 211 208 = 3 . .
- - .
- , , . :
. (10)
, - ( );
r ( );
- , ( ).
, , , :
. (11)
4. , 5,371 /., 1 . 15% , 1 . 60% .
(10)
./.
Ԓ
Ԓ , , , .
b. b :
b = . (12)
( ).
() () .
.
, , :
. (13)
, - ()
- ;
- .
( ) b :
. (14)
, - ,
. (15)
():
. (16)
, V ᒺ .
. (17)
. (18)
5. 400 . . , . ( ) = 300, 305 ./. , , 50 .:
) ?
) , =296 ./.?
) , =296 ./. 400 . .
|
|
) , .
) (15)
= 296 300 + 305 = 301 . .
) ( ≠ ), = 400
- 1 ( ) (16)
1 = 8*50*(300 - 296)= 1600 (, )
, 400 . ., (18):
-1600 + 2 = 400 . .
2 = 2000 . .
- (17) 2000 = 8*50*(305 - ) = 300 . .