1
1.01. 1450 .. 1.04. 200 .., 1.07. 300 .. 0,85, 25%, - 200 . , , , .
в:
= 1450 + 200*(9/12) 300*(6/12) = 1450 ..
= 1/; = 1 / 0,85 = 1,176
= ( / ) = 1450 / 200 = 7,25
= ( / ) = 300 / 1450 = 0,207
= ( / ) = 200 / (1450+200-300) = 0,148
= * = 1,176*1450 = 1705,2 ..
= (*R) / (100+R) = (1705,2 * 25) / (100+25) = 341,04 ..
R = / = (341,04 / 1450)*100% = 23,52%
2
1250 .., - 2000 .., - 25%. 10%, - 15%, - 50 .. .
в:
= / = 1250 / 2000 = 0,625
= / = 2000 / 1250 = 1,6
= (*R) / (100+R) = (2000 * 25) / (100+25) = 400 ..
1) R = / = (400 / 1250)*100% = 32%
= 2000*1,1 = 2200 ..
= 0,625 * 1,15 = 0,719
= 1 / 0,719 = 1,391
= * = 2200 * 0,719 = 1581,8 ..
= 400+50 = 450 ..
2) R = (450 / 1581,8) * 100% = 28,4%
3) R = R - R = 28,4% - 32% = -3,6%
R (%) = (R - R) / R = ((28,4 32) / 32) * 100% = 11,25%
1
䳺 10 . 0,3 -. ij , 8 . - 108. : - 150 , 3% . 0,80. .
в:
N = (Tp*m) / ti
Tp = ((365 108)*2*8 150)*0,97 = 3843,14 .
1) N = (3843,14 * 10) / 0,3 = 128104,66 .
2) Q = N*K = 128104,66 * 0,8 = 102483,72 .
2
1 17000 . 1 2200 , 1 1540 . 19000 . 16500 .
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: ; ; ; .
в:
1) N. = 17000 + 2*2200*(8/12) 1540*(5/12) = 19291,66 .
2) (%) = ((N. - N..) / N.)*100% = (19291,66 19000) / 19000 = 1,54%
3) N = 17000 + 2*2200 1540 = 19860 .
4) = / N = 16500 / 19291,66 = 0,856 .
3
14 , 5; 4; 2; 3. 22 , 2750 -, 1540; 575; 270; 365 -. .
в:
1) = / (m * T); = 22*8 = 176 .
1540 / 5*176 = 1,75
575 / 4*176 = 0,82
270 / 2*176 = 0,77
365 / 3*176 = 0,69
2) = 2750 / 14*176 = 1,12
1
800.., - 700.., - 740.. г - 400.. - 5 , 10 , - 4 . 20 . 30% , - . 10 , 15 . ʳ - 265. .
в:
1) = * = 400/265 * (5+10/2+4) = 21,13 ..
2) = * * ; = ( + 0,5*) / = 0,3 + 0,5*0,7 = 0,65
= 700/265 * 20 * 0,65 = 34,34 ..
3) = (/ / 265) * = 740/265 * 10 = 27,92 ..
4) = ( / 265) * = 800/265 * 15 = 45,28 ..
5) = + + + = 21,13 +34,34 + 27,92 + 45,28 = 128,67 ..
2
400 .., 80 .. 60 .., 5 . .
в:
1) = / / ;
= / = 400/80 = 5 ; = 360/ = 360/5 = 72 ;
= 400 + 60 = 460 ..
= 72 -5 = 67
= 360/ = 360/67 = 5,4 .
= /; = / = 460/5,4 = 85,2 ..
= 460/5,4 460/5 = 85,19 92 = -6,81 ..
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= ( / 360) * ( ) = 460/360 *(67 -72) = -6,4 ..
2) = = 80 85,2 = -5,2 ..
1.
2665000 -. , 15%. , , 1875 -, 16 %, , 110%, - 3%. : - .
в:
1) = / ( * ) = 2665000 / 1875*1,1 = 1292,12 .
2) = (2665000*1,15) / (1875*1,16*(1,1+0,03)) = 3064750 / 2457,75 = 1246,97 .
3) = (2665000*1,15) / (1875*1,16*(1,1*1,03)) = 3064750 / 2464,28 = 1243,7 .
2.
, :
1. , . | ||
2. , .. |
в:
= / = 12500/125 = 100 .
= / = 14000/130 = 107,69
= / = 14000/12500 = 1,12
= / = 130/125 = 1,04; = / = 107,7/100 = 1,077
= 14000 12500 = 1500 ..
= *( ) = 107,7* (130-125) = 538,5 ..
= *( ) = 125* (107,7-100) = 962,5 ..
3
ϳ . г 908 . ., - 0,3 -. 8 . - 1,1 %, 3,7 %. - 108 %. - .
в:
- :
.. = / ( ).
ij :
= 223 8 ((100 - (1,1+3,7))/ 100) = 223 8 0,952 = 1698,37 .
(223 - ).
.. = (908 000 0,3)/ (1698,37 1,08) = 148,5 .
1 ( )
- :
- | ||||
, . | ||||
, | ||||
, . | 4,4 | 5,9 | 2,9 | |
0,2 | 0,2 | 0,2 |
.
в:
= +* - min
1 = 4,4*161 + 0,2*107 = 729,8 .. / 4,4 = 165,9
2 = 5,9*120 + 0,2*149 = 737,8 .. / 5,9 = 125,1
3 = 2,9*160 + 0,2*188 = 501,6 .. / 2,9 = 172,97
2
ϳ 230 ., . Գ . : 1- 56 ., 2- 43., 3- 59 . (NPV) 20 %; (); ().
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в:
1 . | 2 . | 3 . | 4 . | ||
, .. | - | - | - | ||
.. | - | ||||
= 20% | 0,833 | 0,694 | 0,579 | ||
IJ, . | - | - | - | ||
, .. | - | 46,65 | 29,84 | 34,16 | 110,65 |
= IJ = 110,65 - 230 = - 119,35 ..
,
1
, , :
, .. | |
ֳ , . | |
, .. | |
- , % | |
, .. | |
- , % | |
, .. | |
- | |
- | |
, .. | |
- | |
- | |
, . | |
, .. |
в:
= + + = 80*40 +800*0,3 + 500*0,75 = 3815 ..
= + ( ) + = 3815 + (300 30) + 700 = 4465 ..
= + ( ) = 3815 + (400 800) = 3415 ..
= = 3815 1000 = 2815 ..
2
. 1515 3756 . ³ 50 57 . , 25000 ., 16100 . 2780 , 518 . г 18 %.
в:
= 1515*50+3756*57+16100 = 305942 .
= 305942 + (2780 -518) = 308204 .
= *18 / 118 = 47014,17 .
= = 308204 47014,17 = 261189,83
1
, 50 - 980 1 . - . : 10 . 20 ., - 9 . 80 . 10% , 37% . г 2,2 . ., - 900 .. 1,2 .. - 4% , - 10% . .
в:
1) = 0,05 * 980 = 49 .
2) = 10,2 + 9,8 = 20 .
3) = 20 *0,1 = 2 .
4) ³ = (20+2)*0,37 = 8,14 .
5) = * (/100); = (/)*100
= 20 * (2,2 / 1,2) = 36,67 .
= 20 * (900 / 1200) = 15 .
6) = + + + = 49 + 20 +2 + 8,14 + 36,67 + 15 = 130,81 .
7) = + = 130,81 + 130,81*0,04 = 136,04 .
8) ֳ = 136,04 * 1,1 = 149,64 .
2
:
- 200 .; | - 90 .; |
- 50 ..; | - 20% ; |
- 50 .; | - 37%; |
- 40 . |
150 .. 200 .., 300 .. () 5% . 20%.
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в:
1) = 200 + 50 + 50 +40 = 340 .
2) = 90 .
3) = 90 *0,2 = 18 .
4) ³ = (90+18)*0,37 = 39,96 .
5) = * (/100); = (/)*100
= 90 * (200 / 150) = 120 .
= 90 * (300 / 150) = 180 .
6) = + + + = 340 + 90 + 18 + 39,96 + 120 + 180 = 787,96 .
7) = + = 787,96 * 1,05 = 827,36 .
8) = ( * R)/100 = (827,36 * 20) / 100 = 165,47 .
ֳ = + = 827,36 + 165,47 = 992,83 .
3
' 15100 . 52 . 28 ., 80700 .
:
1) , ;
2) , 12 % 20750 .
в:
1. = 80700 / (52-28) = 3362,5 .
2. 1 = 15100 * 52 (80700 + 28*15100) = 785200 - 503500 = 281700 .
2 = 15100 * 52 - [ (80700 20750) + 28 * 0,88 * 15100] = 785200 (59950 + 372064) = 353186 .
Δ = 353186 281700 = 71486 .
Գ
1
:
- - 210 .
- - 2458 .
- г 21 %
- 35 %
- - 12 %
:
1) 17 % 7 %
2) 1 11 % 4 %
; .
в:
( )
=*100%/(+ .)
= /
=*100%/ (+ )
= *100% /
= *100% /
1.
=210*2458 = 516,18 ..
2.
= */ (+1)
= 0.21*516,18/1.21 = 89,6 ..
3. = / = 89,6 / 0.36 = 256 ..
4. = - = 516,18 89,6 = 426,58 ..; = 426,58 / 210 = 2,03 ./
5. = / = 89,6 / 0.12 = 746,67 ..
1. = *1.17 = 516,18*1.17 = 603,93 ..; = 210*1,17 = 245,7
2. = *1.07 = 256*1.07 = 273,92 ..
3. = *0.89 = 2,03 * 0.89 = 1,81 ./; = 1,81 * 245,7 = 444,72 ..
4. = * 0.96 = 746,57 * 0.96 = 716,71 ..
5. = - = 603,93 444,72 = 159,21 ..
6. = 159,21*100%/ 444,72 = 35,8%
7. = 159,21*100%/ 273,92 = 58,1%
8. = 159,21*100%/ 716,71 = 22,2%
9. = 159,21*100%/ (273,92+716,71) = 16,1%
2
12500 .., 500 .., 40 ., 25%
- 2 ., - 10%.
.
в:
1) = /; = * = 12500*0,25 = 3125 ..
2) = = 500*40 3125 = 16875 ..
3) = 16875 / 500 = 33,75 /
4) = 40 2 = 38 /
5) = 33,75 * 0,9 = 30,38 /
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6) = 30,38 * 500 = 15187,5 ..
7) = 500*38 15187,5 = 3812,5 ..
8) = / = 3125 / 16875 = 18,5%
9) = / = 3812,5 / 15187, 5 = 25,1%
10) = - = 25,1 18,5 = 6,6%
11) % = ( - )/ = (25,1 18,5) / 18,5 = 35,7%
3
15 .., 24 13 %.
:
1) , 857 .. .
2) , 2 %.
в:
1. = (15 * 24) / (100 + 24) = 2,9
= 15 2,9 = 12,1 ..
R = (2,9 + 0,857) / (15 3,757) = 33,4 %
2. . = / = 2,9 / 0,13 = 22,31 ..
= * = 22,31 * 0,02 = 0,45 ..
= 15 + (0,45 2,9) = 12,55 ..