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һ


 


: ..

: .

..

:


-1998


N 1

. F n l . . n- ? ?

(. .)

l

(%)

n =1

()

14 3,1 131 5

.

i * m * n

I. = * ( 1 + ------------ ) m -

m (: m = 4 B: m = 12 ).

( ) :

= 3.1 * (1+1 31*4*5/4) = 23.405 . .

() :

= 3.1 * (1+1.31*12*5/12) = 23.405 . .

.

II. i m*n

= * ( 1 + ------ )

m

1) ( .):

4*5

. = 3.1 * ( 1+ 1.31/4) = 895 47..

2)   ( .) :

12*5

. = 3.1* ( 1+1 31/12) = 1552 996..

.

N 2

n Fn. l % m . .

Fn

(..)

l

(%)

n=2

()

m

()

14 4,9 123 6 2

m*n Fn

Fn = * (1+i/m) = -----------

mn

(1+i/m)

n = 2 : n = 6 :

4 9 4 9

= ------------- =0 72 . . = ------------- =0 156 . .

2*2 2*6

(1+1 23/2) (1+1 23/2)

N 3

; i.

( ) :

1)   ;

2)   - n i1.

.

.

i

%

i1

%

n

14 17 83 20 13 2,3

MV = Py :

M -

V - c

P -

y -

1) .. : y = 83 ..

: Py = 83 * 1 2 = 99 6. .

Py Py 99 6

2) = ----- ; V = ---- ; V = --------- = 5 86

V M 17

99 6 * 1 13

M = ------------- = 8 35 ..

5 86 * 2 3

Š N 4

V 1 i. .

:

1. ;

2. .

) ࠠ

)

3.  

..

N /. V P V1

i

(%)

14 66 17 1,29 13 12

1) :

Py = 66 * 1 29 = 85 14 ; MV=Py ; M = 85 14 / 17 = 5 0..

2) Ϡ 󠠠 .. .

) = 66 ..

) = 66 ..

: Py = y * P * i ;

a) (66 * 1 29 ) *1 12 = 95 36 ..

) 85 14 * 1 12 = 95 36..

.

3) :

95 36

M = ------- = 7 33. .

13

Š N 5

-

-

-G

- S

- H

- t

- M

- X

( ):

1)   - . - .;

2)   C - I

C :

.

(. .)

G S H t X M

X>M

()

X<M

()

14 14,40 - 6,90 5,30 4,10 1 - 1,01 - 1,72

+ I + G + (X - M) = C + T + S : -

I -

G - .

X -

M -

T -

S -

= = 14 40 ..

T = H - t=4 1-1=3 1 : H - t -

1)   = + + S ; = - - S ; = - ; = /1 72=1 01/1 72=0 59

C = 14 40 - 3 1 - 5 3 = 6 ..

= 6 - 1 01 = 4 99..

2)   = I + G + C + ; I = - G - - = 14 4 - 6 9 - 4 99 - 0 59 =1 92 ..

: I + ( G - T ) = S + ( M - X )

1 92 + ( 6 9 - 3 1 ) = 5 3 + ( 1 01 - 0 59 ) ; 5 72=5 72


Š N6

- G

-S

- M

- X

- I

- T

( ):

1.   .

2.   I G . .

G S M X I T a c +/-
14 4,95 5,99 1,12 1,39 2,87 2,1 1,5 1,5

1) = : I + ( G - T ) = S + ( M - X )

= I + ( G - T ) =2 87 + 4 95- 2 1 = 5 72 ..

= S + ( M - X )= 5 99 + 1 12 - 1 39 = 5 72 ..

2) I 1 5 G 1 5 . .

ࠠ ꠠ :

= = I* + ( G+ - T ) = 2 87 * 1 5 + (6 7+1 5- 2 67 )= 9 835. .

.. 1 72 蠠 4 115 . .

Š N 7

1 2 3. 1992 . .

1,14 2,15
1. . 8,0 12,0
2. . . 139,4 121,7
3. () 165 183
4. 199,5 205,8
5. . 50,8 55,8
6. 339,4 428,3

7.

..

172,8

71,9

172,0

71,9

8. 3,5 3,4
9. . 12,2 12,3

10. , 1992 .

..

-

-

-

-

11. 133,8 144,0

: 蠠 = 165 ..

1 = + .(4+5+6)

1 = 165+199 5+50 8+339 4= 754 7 ..

2 = 1 + (7) 2 = 754 7 + 172 8 = 927 5 ..

.

3 = 2 + (8)+ .(9) = 927 5 + 3 5 + 12 2 = =943 2 ..

 

Š N 8

N 7 ( 3). .

3 = (3) + (4)+ (7) +

3 = 943 2 ..

3 = 183+ 205 8+ (172 - 71 9 ) + 12 3 = 501 2 . .

1 1
1. 3, 100% 943,2 .. 100% 501,2 ..
2. 17,49% 165 . 36,51% 183 ..
3. 82,51% 778,2 .. 63,49% 318,2 ..

1.01.92 . (3) 17 49% ; 82 15%

1.02.92 . 2 45

Š N 9

N 1970 1975 1980 1984 1985 1996
1 1.0000 1.0000 1.00000 1.00000 1.00000 1.0000
2 1.0112 1.0164 1.1947 1.3214 1.3975 1.366
3 357.65 305.15 203.00 351.10 200.50 112.60
4 5.5200 4.4855 4.5160 9.5920 7.5610 5.252
5 3.6480 2.6223 1.9590 3.1480 2.4613 1.553
6 0.41776 0.49419 0.41929 0.8647 0.6923 0.598

:

1.-

2 - 1985 1996 .

-
14

.

N 1970 1975 1980 1984 1985 1996
1 FRF /USD 5,52 4,4855 4.5160 9.5920 7.5610 5.252
2 FRF /CAD 5,459 4,4131 3,7800 7,2590 5,4103 3,8448
3 FRF /JPY 0,015 0,0147 0,0222 0,0273 0,0377 0,0466
4 FRF /DEM 1,5132 1,7105 2,3052 3,0470 3,0720 3,3818
5 FRF /GBR 13,2133 9,07647 10,7705 11,0929 10,9216 8,7286

1996 1985 :

FRF USD CAD GBR 蠠 蠠 .

Š N 10

04.07.98 .

N
1 100 206,81
2 100 141,20
3 1000 14,84
4 100 33,99
5 100 113,94
6 . 100 341,09
7 100 225,50
8 100 275,40

:

1.   .

2.   -

USD/UAH 0,4835
CAD/UAH 0,7082 CAD/USD 0,6828
JPY/UAH 0,0148 JPY/USD 0,0718
FRF/UAH 2,9420 FRF/USD 0,1644
DEM/UAH 0,8777 DEM/USD 0,8777
GBR/UAH 0,2932 GBR/USD 1,6493
XEU/UAH 0,4435 XEU/USD 1,0904
XDR/UAH 0,3631 XDR/USD 1,3317

Š N 11

: 2.01 UAH/$; 1.08 UAH/RUR.

: $1; DM 1; RUR 1.

: 2.03 UAH/$; 1.10 UAH/DM; 0.34 UAH/RUR.

: $2; DM2; RUR2.

:

1. ( .)

2.   - DM/$; RUR/DM; RUR/$.

N /. DM1 RUR1 DM2 RUR2
14 1,950 3,000 7,900 1,700 2,800 7,900

=

= 1950 (2 03 - 2 01) + 3000 (1 1 -1 08) + 7900 (0 34 -0 31) =39+60+237=336 .

=

= 1700 (2 03 - 2 01) + 2800 (1 1 - 1 08) + 7900 (0 34 - 0 31) =34+56+237=327 .

1)   DEM/USD = 0 373 RUR/DEM = 0 870 RUR/USD = 0 542

2)   DEM/USD = 0 419 RUR/DEM = 0 091 RUR/USD = 0 675

N 12

() . .

:

1)   .

2)   .

14 2,93 3,20 2,90 2,25

1) -

= ------------ * 100% : -

񠠠 -

% .

1

UAH / USD = 2 93; USD / UAH = ------ = 0 34 ; = 0 34

2 93

K = 1 / 3 20 = 0 0 31

0 34 - 0 31

= -------------- * 100% = 8 82 % - .

0 34

2) - 񠠠

=---------- * 100%

񠠠 .

= 1 / 2 25 = 0 44

= 1 / 2 9 = 0 35

0 44 - 0 35

= -------------- * 100% = 25 71 %

0 35

N 13a

12 . 420$. 530 . .

:

1) .

2) DM.

:

1 53 DM/$; 1.23 UAH/DM.

:

DEM = 530 : 1.23 = 430 89 DEM

DEM = 420 1 53 = 642 6 DEM

C 12 = 642 6 12 = 7711 2 DEM

=

= 7711 2 : 430.89 = 17 9 .

Š N 13

310 . . 62 . . . $. : 0 5951 . ./$; 1.88 UAH/$.

:

1) $.

2) $.

1) USD = 62 / 0 5951 = 104 18 . USD

2) UAH / GBR = 1 88 / 0 5951 =3 1591

C GBR = 310/3 1591 = 98 13 . GBR

USD = 98 13 - 62 = 36 13 . GBR.

Š N 13

2500 . . - ; -$. 1514 92 / $; 1.88 UAH/$.

: .

:

1)C $ .

2) : 2541 6 / .; 0.5951 . / $.

1) C USD = 2500 / 1514 92 = 1 65 . USD

C = 1 65 * 1 88 = 3 102 ..

2) .. = 2500 / 2541 6 = 0 984 ..

USD = 0 984 / 0 5951 = 1 654 . USD

= 1 654 * 1 88 = 3 107 ..

Š N 14

3780 . -$; - . .

1 88 /$; 358 8 . ./$.

- .

:

1) $ . .

2) 349 5 ../$.

1) C = 3780/ 1 88 = 2010 64 USD = 2010 64 * 358 8 = 721417 63 .

2) = 2010 64 349 5 = 702718 68 . .

N 14

ࠠ 2500 . .

- 2500 DM.

UAH/$ =1 88; DM/$ =1 53.

?

UAH /DEM = 1 88 / 1 53 = 1 2288

C UAH = 2500 x 1 2288 = 3072 UAH

.

Š N 14

- 2540 . .. 210 . DM.

蠠 $.

5 22 ../$; 1.53 DM/$.

$.

FRF/DEM = 5 22/1 53 = 3 4118

C DEM = 2540 / 3 4118 = 744 48 . DEM

USD = 744 48 - 210 = 534 48 . DEM

Š N 15

.

蠠 :

) t n

) t n1 n1 蠠 t n 2 n 2 .

( ⠠ ):

1)   .

2)   .

tn % t n1% t n2 % n1 n2
14 6 9 8 4 8

n

1) In = ( 1 + t n ) In

12 4 8

a) In = ( 1 +0 06 ) = 2 012; ) In = ( 1 + 0 09 ) + ( 1 + 0 08 ) = 1 411 + 1 851 = 3 262

2) t = ( In - 1 ) * 100%

a) t = (2 012- 1 ) * 100% = 101 2%.; ) t = (3 262- 1 ) * 100% = 226 2%

N 16(1)

. :

500 . 42 % . 䠠 : 1) 10%; 2) 15 %.

:

i n*m 0 42 6*0 5 3

S = P * ( 1 + ----- ) ; S = 500 * ( 1 + ------ ) = 500 * 1 07 = 612 52

m 6

n

: In = ( 1 + t n )

6 6

1) In = ( 1 + 0 1 ) = 1 61 ; 2) In = ( 1 + 0 15 ) = 2 01

S

: P = ------- ; D = P - S .

In

612 52

1) P = ---------- = 380 45 D = 380 45 - 612 52 = - 232 07

1 61

612 52

2) P = ---------- = 304 74 D = 304 74 - 612 52 = - 307 78

2 01

Š N 16 (2)

:

ꠠ 9 ⠠ 堠 2 . . 5%. 4% .

:

1)   .

2)   .

3)   .

n 9

In = P ( 1 + t n ) ; In = ( 1 + 0 05) = 1 55

( 1 + n*i ) * In - 1 i - ;

2) it = ---------------------- * 100% ; it - % ;

n n - (n = 9/12).

( 1 + 0 75*0 04)*1 55 - 1

it = ------------------------------ * 100% = 80%

0 75

3)   S = P * ( 1 + n*it ) ; S = 2000 * ( 1 + 0 75*0 8 ) = 3200 .

4) I = S - P ; I = 3200 - 2000 = 1200 .

Š N 16 (3)

:

45 % 14% . . 2 03.

:

:

1)   1500 .

2)   .

i n*m

S = P * ( 1 + ----- )

m

0 45 12

1) S = 1500 * ( 1 + ------- ) = 2333 18

12

0 14 12

2)   1500 / 2 03 = 738 92 USD S = 738 98 * ( 1 + ------- ) = 849 27 USD

12

849 27 * 2 03 = 1724 02 .

.

Š N 16 (4)

:

42 % 12% . . 1500 DM.

: 2 03 UAH/$; 1.11 UAH/DM.

:

:

1)  

2)   .

S = P * ( 1 + i*n ) ;

1)   1500 * 1 11 = 1665 S = 1665 * ( 1 + 0 45 ) = 2364 30 .

2)   1665 / 2 03 = 820 20 USD S = 820 20 * ( 1 + 0 12 ) = 918 624 USD

918 624 * 2 03 = 1864 81 .

.