, .
Ø 3:11 ( );
Ø 3:9 ;
Ø 7 =B6-B5, ( );
Ø 10:11 (=B9*(1+B4*B7/B8) =B10-B9, )
Ø
:
C D () .
1‑1
1. 50000 . 28% . .
: FV= 57000; I= 7000 (.)
1‑2
2. 1 . . 20.01.06 05.10.06 18% . .
:
127232,88 (.);
127500 (.);
129000 (.)
1‑3
3. 200000 . 3,5 . 30%, 1%. .
: kn = 1.83; FV = 165000
1‑4
4. 10% : ) 5 ; ) 3 .
: ) r =0, 0417; ) r = 0,025
1‑5
5. , , 100 . ., - 2 , - 10%.
: PV = 101667 .
1‑6
6. 500 . . 11,06,2006 . 80% . 20.09.2006 . 110 . . , .
:
1‑7
7. 10% . 500 . ., 5.01.2006 . 25.10.2006 .
: FV=540136.99 .; I = 40136.99.
1‑8
8. , , 1000 . 6 1084 .
: r = 16,8%
1‑9
9. :
I 230% ,
2- 240% ,
200% .
.
: kn =4.55
|
|
1‑10
10. 500 . ., 700 .. 60% . , ( 360).
: t = 240
1‑11
11. , 250 . ., 400 . . , .
: r =60%
.
, :
Ø , . , , ;
Ø .
, , , , , .
FV1 = PV +I = PV *r = PV*(1+ r);
Ø
FV2 = FV1 *(1+r)=PV*(1+ r)2
.
Ø n :
FV = PV (1 + r) n = PV k, (1‑20)
:
ð FV ;
ð PV ;
ð r ;
ð n ;
ð k () [10].
(1-20) .
, PV, FV 1 , FV 2 , FVn PV.
n > 1 . , , 10 . . ( ) 1,5 . . , = 10 000 + 3*1 500 = 14,5 . ., 15,209 . . .
. 1‑4 r.
. 1‑5 1-4
1-5, ( ) , ; , , , .
r,
Ø 0 < n < 1, (1 + n* r) > (1 + r) n;
Ø n = 1, (1 + n* r) = (1 + r) n.
Ø n > 1, (1 + n* r) < (1 + r) n;
, , :
Ø , ( );
|
|
Ø , ;
Ø .
, FV r n. , 1, 15% 100 1174313,45 !!!
. 1-6 , 1,00 .
. 1‑6 1.00
, . , .. , .
, , . , , , .
, . , :
(1 + r).
, , :
(1 + r) n.
() , , ( 2) . , , ( , ..) n r.
1‑12
15 000 2 10% . , .
:
FV = PV * (1 + r )* n =15000 *(1 + 0'1)2 =
FV = PV * k = 15000 * 1,21 = 18150 ,
k [11] = 1,21
I = FV - PV = 18150 - 15000 = 3150
, 18150 , 15000 , 3150 " ".
1‑13
10000 4 . 10% . . ?
:
PV = 10000,
r = 10%,
n = 4 .
F :
ð :
FV1 = PV + PV* r = PV*(1 + r) = 10000*(1 + 0,1) = 11000.
ð FV :
FV2 = FV1 + FV1* r = PV*(1 + r) + PV* (1 + r)* r =
PV* (1 + r)2= 10000*(1 + 0,1)2 = 12100.
ð (n = 4):
FV4 = FV3 + FV3×* r = PV* (1 + r)4= 10000*(1 + 0,1)4 = 14641.