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(2.2)
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$110
$100. , 10%, $100 $110($100+$10).
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: , $100. , 10 , 10% ?
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FV =*(1+R)1 FV =*(1+R)2
FV =$100*(1+0,10) FV =$100*(1+0,10)2FV =$100*1,10 FV =$100*1,10*1,10 FV =$110 FV =$121
10 , (1,10)10,
2,594. , $100 10 : FV = $100 (1+0,1)10= $100* 2,594 = $259,40.
10% $100, 10% . , , .
$100 *1,10=$110 (FV) 1 ;
$110 *1,10=$121 (FV) 2 ;
$121 *1,10=$133 (FV) 3 .
, . (1+R)N . , , , . 1 (FVIF) Future Value Interest Faktor .
FV=PV * FVIF (2.4)
FVIF , ( 1).
. , FV $100 , 10%. 1,33 : $100 * 1,33 = $133.
3 , 1,00 , : 1,33 - 1,00
= 0,33, 33%. , $100, $133, 33%.
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2- $102,00 1,02 = $104,04
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$108,24 ($100 1,0824). ', , . . .
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. 10%, 4 $3642,43:
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$1000 | 0,9091 | $909,10 | |
$1200 | 0,8264 | $991,68 | |
$1500 | 0,7513 | $1126,95 | |
$900 | 0,6830 | $614,70 |
4 $3642,43
2.3
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, 4 10% : 1,000 + 1,100 + 1,210 + 1,33, 4,641. 4 $100 $100*4,641, $464,10.
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(1 + R) N
R
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(2.9)
: FVA - ; A - ;
FVIFA- , ( 3).
, . . , 4- . ³ 4,641.
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, . , $100 3 - 10%. , , $100 .
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1 $100 | 0,909 | $90,90 | |
2 $100 | 0,826 | $82,60 | |
3 $100 | 0,751 | $75,10 | |
2,486 | $248,60 |
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PV = A
(1 + R) N
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A R (1 + R) N -1 A
(2.10)
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PVIFA - ( 4).
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ϳ $100 3 . 10%.
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= $90,90 + $82,60 +$75,10 = $248,60
, $100 $248,60 10%. . г $300 $248,60 , .
, , . - (PVIFA) Present Value Interest Factor Annuities, . , , 5 $1,000, , 5 $1,025. , . , , , 10%, 12%.
, . 10% 5 3,7908, 12% 3,6048. , :
V = $1,000x3,791 * $3,791
V - $1,025x3,605 = $3,695
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