2,5.1. : ) ; ) ; ) . , , 3%?
, ) 1 (.. 1/12 ) , 1 =1,03 (42) = 12 :
=1,0312 =1,4258.
r - , (104) , , 1 + r = (.. ). :
r = -1 = 1,4258 -1 = 0,4258 = 42,58%.
, , 42,58% .
) , , (104)
:
= 4( -1) = 03709 = 37,09%.
, 37,09% .
)
:
= 12(1,03-1) = 036 = 36%.
, , 36% . ,
. , 0,03, r(12) > 0,36.
, , , (105), r(m)=0:
= 1, ), ), ) = 1, 4, 12.
2.5.2. , , 52% . , .
.
. r(4) = 0,52, :
(0,5 ) :
, 27,69%.
2.5.3. . 15, 20 10%. , ?
. 1,15, - 1,2 - 1,1, 3 ;
- , . , = , :
|
|
, ( ) 13,91%.
2.5.4. 15 : ) ; ) . , , 8%?
, ) 8%, (0,25 ) 1,08. 15 (1,25 , 5 ) :
=1,085 =1,4693.
r :
(1 + r)1,25 = 1,4693.
:
r = 1,4696 -1 = 0,3605.
, 36,05% .
. 8% 1,084-1 = 03605 =36,05%. , , .. r > 36,05%.
) . 1,25 , r:
(1+r)(1+0,25r) = 1,4693.
, : =-5,3508, r2 =0,3508. , . , 35,08% . "" 1% , , .
, :
(1 + r)(1 + 0,25r)> 1,4693.
, r . , " 100" 0,75 :
= 1,4693,
=-12681, r2 =0,3701. , , 37,01% . , .
2.5,5. 28 . . 40%. 21 , -
- 2% . ? , 3,5% ?
. (58) =1,75 (21 ) :
= 54,564 . .
1,75 2% (42):
(104), :
.
, :
- = 35,999 - 28 = 7,999 . .
r :
|
|
= 0,2448.
, 2% , 24,48%. , , , .
, , : , .. : > (l + 0,02)3-l,.
r > 0,2448. 3,5% :
=(1+0,035)21 =2,0594, = 26,495 .
26,495 - 28 = - 1,505 . ., .. .
r(4) > 4( -1) = 0,4349, .. r(4) > 43,49%. , (40%) .
2.5.6. 120 . . 4 . , 18% ? ? 2,3.
. (105) =1, r(m) =0,18, n = 4, = 2,3, :
-1 = 0,4532,
.. 45,32% , 2,3, 18% .
(55) = 120 . ., n = 4, r = 0,4532:
F4 =120(1 + 0.4532)4 =535,159 ..
2.5.7. 90 . . : ) ; ) ; ) . ,
24% , 14% ? , .
. (105).
=(1 + h) , , :
) m = 2, r(2) =0,24, h = O,14,
:
= 2[(1 + ) -1] = 0,3917.
, 3 :
=263,210 ..
) = 4, r(4) = 0,24, :
= 4[(1 + ) -1]=0,3812
=268312 . .
) = 12, r(12) = 0,24, :
= 12[(1 + ) -1] = 0,3744,
F3 = .
2.5.8. 20% : ) 36% ; ) 36% ; ) 36% , ( ) 1,6 ?
, ) , r - , h - (104), :
r = 0,36, h = 0,2, :
:
, :
= = 3,755 .
) d (104) :
d = 0,36 :
n= = 1,781 .
) , :
, = 036 :
:
n= = 2,645 .
. (110) =(1 + h) , n =16P , :
|
|
=
1 + r, 1 - d e .
2.5.9. 40%, 50% . , 50%?
. (110) n = 1, =1,4, = 0,5,
:
.. 16,35% . 50% , , 50%, (109):
= 0,5 + in1,4 = 0,8365 = 83,65%.
, 50% r1
. :
rl, =0,5- in1,5 = 0,0945.
2.5.10. 16% . , 10% ?
. (111) r = 0,16 h = 0,1:
=0,16 + 0,1 + 0,16*0,1 = 0,276 = 27,6%.
: r+h. 0,16+0,1=0,26=26% 1,6% . , , , , (111).
, (105). , = 1,
,
.. (105). = 1 (44) .
2.5.11. 45% , : ) 15%; ) 45%; ) 60%.
. (106), (m = 1, = 1, = 1 + h):
r = 0,45.
) h = 0,15 :
.. 26,09% .
) h = 0,45, , rl = 0, ..
45% .
) h = 0,6, :
, 60% , .. 9,38%.
, (46). , . , ( : =0,45, h = 0,15), 0,45 = r + 0,15 + 0,15r,
r = = 0,2609 =
2.5.12. 3 40% . , 3 ,2,1. ?
|
|
. n = 3, =2,1, = 12, r(12)=0,4, (106) :
(63) :
.. 15,74% . ,
= 0,4821,
, .
. , , (104) :
(64) :
, . , , . ,
:
:
= 0,1245.
, .
2.5.13. 45 . . 3 , 18 . . , 14%.
. 3 =(1 + 0,14)3 =1,4815, 45. . 3
= 30375 . .
(75) n = 3, = 18, F3 = 30,375, :
=0,1601=16,01%.
, :
(26) n = 1, r = ref (3) rt = ref def:
= 0,1601.
2.5.14. N 4 , 1,5% . , 42% 28%.
. , 0,015P, , , N
P-0,015P = 0,985. 4 ( (42) (104)):
= 1,7118P.
(64):
,
,
= 0,4696 = 46,96%,
.. , , , .
2.5.15. , ( ) 25% , 12% 10%? , ?
. (42):
=(1+0,1)4 =1,4641.
, r - . (58)
, , :
21, :
P+0,88I=P[1+0,88 -0,88]=P[0,12+0,88 ]
:
P[0,12+0,88 ]
25%, .. 1,25 . :
P[0,12+0,88 ] =1,25P
r(12)>. :
.. r(12) =68,31% .
d , , (77), :
:
P+0,88I=P[0,12+0,88
1,25 ,
P[0,12+0,88 ] =1,25P
d , :
= 0,6121
, , (92) d , r(12) =68,31% m = 4, i = 12:
|
|
=4[1- ]=0,6121
2.5.1. : ) ; ) ; ) . , , 15%?
2.5.2. , , 48% . , .
2.5.3. . 8, 12, 16 6%. , ?
2.5.4. , , 18% . .
2.5.5. 18 : ) ; ) . , , 12%?
2.5.6. 80 . . 34%. 2,5 , - 1,5% . ? , 3% ?
2.5.7. : -30% ; - 36% ; - 39% . 1,15; 1,1; 1,2 1,25. , .
2.5.8. 150 . . 5 . , 20% ? ? 2,6 .
2.5.9. 100 . . 4 : ) ; ) ; ) . , 32% , - 18% ? , .
2.5.10. 180 . . 3 . , 24% ? ? 1,9.
2.5.11. . 1,4, - 1,1. ( ) , : ) 40% ; ) 40% ; ) 40% ?
2.5.12. 22% . , 14% ?
2.5.13. 15% : ) 30% ; ) 30% ; ) 30% , ( ) lf4 ?
2.5.14. ' 18% 44% , ( ) 1,5 ?
2.5.15. N, 50 . ., , , 4 80 . . . , 28% : ) ; ) ? 15% .
2.5.16. 36% , : ) 20%; ) 36%; ) 55%.
2.5.17. 25%, 30% . , 30% ?
2.5.18. 20%, 36% . , 36% ?
2.5.19. 30%, 40% . , 40%?
2.5.20. 2 44% . , 2 1,6. ?
2.5.21. 2,5 38% . , 2,5 ],8.
2.5.22. 3 , , 1,52; 1,41 1,64. 30%?
2.5.23. 50 . . : - 36% , -40% , - 44% . 20, 10 30%. .
2.5.24. 20 . . : 35%, -42%, - 48% - 55%. 3, I, 1,5 2%. .
2.5.25. 60 . . 4 , 25 . . , 15%.
2.5.26. 42%. -
15 , 2%.
2.5.27. 2 , 2% . , 45% 30%.
2.5.28. N 5 , 1,5% . , 30% , 26%?