.


:




:

































 

 

 

 


3. .




1.

 

1

.

  1. , ;
  2. ;
  3. ;
  4. ;

 

a) - ;

b) ;

c) ;

d) .

 

2

a) ;

b) ;

c) ;

d) .

 

3

a) ;

b) ;

c) ;

d) .

 

1

: 900 . , 200 . . .

:

 

C+I+G+Nx= C+S+T

I+G+Nx = S+T

Nx = (S - I) + (T - G)

Nx = (400 - 900) + 200 = -300

: Nx = -300.

 

2

5000 . ., 500 . ., 20 . ., 3000 . ., 900 . . , , , .

:

Y = C + I + G + Nx

Nx = Y C I G

Nx = 5000 3000 500 900 = 600

(T - G) = 20 T = 20 + G

T = 20 + 900 = 920

Yd = Y T; Yd = 5000 920 = 4080

Yd = C + S; S = Yd C

S = 4080 3000 = 1080.

: Nx = 600;

= 920;

Yd = 4080;

S = 1080.

 

2.

1

2004 500 . 3000 . . 1,25,

a) 4%;

b) 20%;

c) 20%;

d) 25%.

 

2

, ,

a) ;

b) ;

c) ;

d) .

 

3

2006 3000 . , 1,5, _______ . .

 

4

a) ;

b) ;

c) ;

d) .

 

1

2006 3000 . , 1,2, .

:

 

 

 

 

: . = 2500.

 

2

, . .

 

2004 . 2005 .
A        
B        
C        

 

2004 . , 2005 .?

:

 

 

 

: 0,91.

 

3

2006 500 . 4000 . , 1,25, ?

:

2005 . ,

2005. = 2005.

 

: 8,6%.

 

4

, .

.

 

2004 . 2005 .
       
       
       

 

2004 , 2005 ?

:

 

 

: 106,9%.

 

5

:

 

 
 
,  
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
,  

 

: ( ), , , , , , , , .

 

 

:

. = 325+76+105+(57-10) = 553

. = (382+24+63+(18+4+9)+25)+11+17 = 553

= 553 12+8 = 549

= 553-17 = 536

= 536-11 = 525

= 525-4+16-43-9+19 = 504

= 504-41 = 463

S. = 463-235 = 138

Nx = 57-10 = 47

I. = 76-17 = 59

: = 553; = 549; = 536; = 525; = 504; = 463; S. = 138; Nx = 47; I. = 59.

 

6

:

30,

28,

15,

1500,

20,

450,

150,

5000.

: , , ( ).

: : = + + + .

= 5000 + 1500 + (30 + 20) + (150 450) = 6250

=

= 6250 20 = 6230

=

= 6230 28= 6202

: = 6250; = 6230; = 6202.

 

7

:

2000,

150,

1500,

1000,

6000,

400,

1200,

50,

600,

450.

.

: : = + + + + + +

= 2000+6000+400+600+450+150+50=9650

: = 9650.

 

8

:

- 100,

11,

20,

25,

2,

30,

14,

15,

.

: = + +

= 25+14+30=69

: 69.

 

9

5000 . ., 7500 . ., 10000 . .. , , .

: = 5000 + (7500-5000) + (10000-7500)=10000

: 10000 . .

 

10

:

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

, , , , , .

:

, , , , (), , , , , , , :

= 805 = 540 + (85 + 73) + 124 + (26 - 43) = 365 + 51 + 28 + 84 + + 73 + + 47.

, () 157.

, , , , ():

= 157-27-63 =67.

, :

= 805-73-47 = 685.

(X) , , , , :

-27-67-35 + 52 + 9=

=617.

, = 617 - 25 = 592.

:S = S + S.

= + S, :

S = - = 592 - 540 = 52.

( ):

S=27 + 73 = 100.

Sr= S+ S = 52 + 100 = 152.

. , , , .

( , , , ) 25 + 67 + 47 + 35 = 174.


, 124 + 52 + 9 = 185.

Sg= 174 - 187 = -11, .. . , .

 

3. . .

1

. , ________ . .

 

2

( ). .

a) ;

b) ;

c) ;

d) .

 

3

AD-AS ( ).

 

 

,

a) ;

b) ;

c) ;

d) .

 

4

S :

=3000. S =1,0. = 2000 + 1,0 /, - , = 1000. =3000 = 1,0. , 1500. ?

a) Y = 35000; P = 1,5; Y = 3500; P = 1,5;

b) Y = 3500; P = 1, Y = 3000, P = 1,5;

c) Y = 3000, P = 1, Y = 3000, P = 1,5;

d) Y = 3000, P = 1,5, Y = 3500, P = 1,5.

 

5

, S =3000, - =1. D = 3/. () 1000. S = 1,5, S =2500. D . . , D ?

a) =2000, =1,2; =2500, =1,5;

b) =2500, =1,5; =3000, =1;

c) =2000, =1,5, =2500, =1,2;

d) =2500, =1,2 =2000, =1,5.

6

S :

=3000. S =1,0. = 2000 + 1,0 /, - , = 1000. =3000 = 1,0. , 2000. (V) (V) (V) ( =2000).

a) V = 3, V= 2, V = 3;

b) V = 3, V= 1,33, V= 3;

c) V = 3, V= 2, V= 2;

d) V =3, V= 3, V=1,33.

7

:

=3300-, =3270-.

3000.

.

a) 2970; -10%;

b) 3000, 10%;

c) 3000, -10%;

d) 2970. 10%.

 

8

3000, D : = 3300 - 3. 1% = 3330 - 3. .

a) ) 3%;

b) ) -3%;

c) ) 1%;

d) ) 0%.

1

3000, AD : y = 3300 3P. 1%, : y = 3330 3P. .

 

 

:

3000 = 3300 3 30 = 300 0 = 100 3030 = 3330 31 300 = 31 1 = 100

 

 

: 0%.

 

2

: y = 3300 3P, y = 3270 3P. 3000. .

 

 

:

       
 
   


LR

 
 

 

 


SR

AD1

 

PLR AD2

 

 
 


0 YSR 3000 Y

 

 

YSR = 3270 3*100 = 2970

3270 3P = 3000

3P = 270

PLR = 90

3300 3P = 3000

3P = 300

PSR = 100

: YSR =2970; π = - 10%.

 

 

3

AS : = 3000. AS = 1,0. ,

 

, =1000. = 3000 = 1,0. , 1500. ?

:

 

       
 
   


LRAS

 

PLR

 
 

 


SRAS

1,0

AD1

AD0

0

3000 YSR Y

 

 

 

 

; PLR = 1,5

 

.

PSR=1,0; YSR=3500;

 

PLR=1,5; YLR=3000.

: PSR=1,0; YSR=3500; PLR=1,5; YLR=3000.

4. -

1

0,75, ,

a) 2,5;

b) 5;

c) 4;

d) 3.

 

2

200 400 . ., 150 . ., (MPS) ( ) _____.

 

3

MPC=0,8, t=0,1, MPIm=0,22, _____.

 

4

a) ;

b) ;

c) ;

d) .

 

5

I=a br.

r %

 

 

I

 

,

a) ;

b) ;

c) ;

d) .

 

6

2008 2300, 200. 2009 2550 250.

, , , 100.

a) = 180+0,87Y;

b) =160+0,8;

c) =200+0,64;

d) =260+,8.

 

1

=100+0,8( - ). , 1 . .?

:

;

 

 

 

;

 

: 4 . .

 

2

, I=120 5r r = 6%?

:

I =120 5*6=90

: I = 90.

 

3

, 0,7?

:

;

: ≈3,33.

 

4

100 . , 0,75 . ?

:

; ; ; ;

 

∆G = 25.

 

: 25 . .

 

5

, = 0,8, t = 0,1, MPIm=0,22?

:

; ;

: = 2.

 

6

85%, 60%, ?

:

; ;

:

 

7

: S = 0,25y -10; I= 20.
:

) ;

) , , , 10 .

:


a)I=S

0,25y-10=20

0,25y=30

y=120.

 

) I=S

0,25y-10+10=20

0,25y=20

y=80

S=0,25*80=20


: ) y=120;

) y=80; S=20.

 

8

:

 

   
   

 

:

1) , , ,

2) .

 

:

1) :

 
 

 


, :

 

; ; ;

 

; .

 

2) , . ,

Y=C

Y=0,5Y+200

0,5Y=200

Y=400.

: ) ;

) Y = 400.

 

9

= 100 + 0,8( - ). 1 ., :

:

∆Y =∆ μT==∆*((-/ (1-))=1.*((-0,8/ (1-0,8))

: 5 . .;

10

:

(V)=5000;

()=3200;

(I)=900;

(G)= 1000;

() = 900

?

:

() , DB=-G=900-1000=-100

: (-100).

 

11

20 . . 60 . . . ..

:

∆ (∆Y) = ∆* μT.,,

μT. = ∆Y/ ∆,=60/20=3,

: μT=-/ (1-) .3 =-/ (1-), =0,75

μG=1/ (1-)=4

: 4.

 

 

5. IS-LM

1

, IS,

a) ;

b) ;

c) ;

d) .

 

2

IS ( - ) LM ( - ).

 
 


r(%)

LM

 

 

IS

 
 


Y ()

- - , , ,

a) ;

b) LM ;

c) IS , ;

d) IS .

 

3

IS ( - ) LM ( - ).

r (%) LM

 

 


IS

 
 


Y ()

, ,

a) ;

b) ;

c) ;

d) .

 

1

:

Y=C+I+G

C = 170+0,6(Y-T)

T = 200

I = 100 40r

G = 350

(M)d = (0,75Y-6r)P

(M)s = 735

P = 1

IS, LM. .

:

IS: 170+0,6(Y-200)+100-40r+350=Y

170+0,6Y-120+100-40r+350=Y

0,4Y=500-40r

Y=1250-100r

LM: 0,75Y-6r=735

0,75Y=735+6r

Y=980+8r

1250-100r = 980+8r

270 = 108r

r = 2,5

Y = 1250-100*2,5 1000

: Y = 1000; r = 2,5 %.

 

2

= 0,5 + 40, I = 350 40r. 200 . . IS.

:

Y=C+I+G

Y=0,5Y+40+350-40r +200

0,5Y=590-40r

Y=1180-80r.

: Y=1180-80r.

 

3

, :

Y=C+I;

=100+0,8Y;

I= 150 -6r;

Ms=150;

Ld = 0,2Y-30r;

=1.

:

) IS LM;

) IS-LM;

) , IS-LM, ;

) , , .

:

) ( ) IS, , . IS:

Y= + I;

Y= 100 + 0,8Y+ 150 -6r;

Y= 1250-30r (2-1)

( ) LM, .

LM:

Ms/P = Ld;

150=0,2Y-4r;

Y= 750 +20r (2-2)

) , , . IS LM. (2-1) (2-2).

:

Y=1250-30r;

-(Y=750 + 20r);

= 500 - 50r.

, :

r =10%;

Y =950.

) , , LM1.

LM1:

MS/P = Ld

150 = 0,2Y-2r;

Y=750+10r.

IS-LM1 :

7=1250-30/-;

-(Y= 750+ 10r);

0 = 500-40r.

, :

r =12,5%;

Y=875,

) , , , IS-LM. LM1 ISi IS1 -LM1

IS1-LM1:

950= 1250- 5 br;

950 = 750+ 10r.

, :

r = 20 %;

b=3

, 2.1.

: ) IS: Y= 1250-30r; LM: Y= 750 +20r; ) r =10%;

Y =950; ) r =12,5%; Y=875; ) r = 20 %; b=3.

 

 

4

20% , -40, I = 140 - 10r, 50, 50; MS = 100, 1, Ld = 0,2Y- 5r.

:

) , , ;

) , , , ;

) ;

) , .

:

) ( ) IS, .

IS:

Y=C + I +G;

Y = 40 + 0,8(Y- 50) + 140 - 10r- + 50;

Y= 950-50r (2-3)

( ) LM, .

LM:

M=Ld;

100 = 0,2Y-5r;

Y= 500 + 25r (2-4)

, , . IS LM, (2-3) (2-4).

IS LM:

7=950-50r

-(Y=500 + 25r)

0 = 450 - 75r

r = 6 %;

Y=650;

=520;

I=80.

) , , IS1.

IS1:

Y=C + I+G1;

Y = 40 + 0,8(Y- 50) + 140 - 10r+ 80;

Y= 1100-50r.

, , .. IS1 LM:

Y=1100-50r

-(Y=500 + 25r)

0 = 600 - 75 r

1= 8%;

Y1 = 700;

1 = 560;

I1=60.

) Y , , , .. ∆G ∆ :

Y2-Y=∆Y = ∆G/MPS;

∆Y 30/0,2 =150.

∆G ∆Y IS-LM:

Y1 -Y= 50.

, .. :

∆Y-(Y1-Y)=100.

) , , Y2 r, .

, , . LM1 ( 2.2).

, :

M+M=Ld

100 + ∆M =0,2Y2-5r;

∆v= 160-30-100;

=30.

 

: ); ); ); ).

5

200,
10, L = 0,1Y- 2r; = 60 + 0,8 Yd
=
100; I = 140 - 2r; G = 100.
IS-LM, 3000.

:

( ) IS, , .

IS:

Y=C + I+G;

Y = 60 + 0,8(Y- 100) + 140 - 2r + 100;

Y=k(A-br)

Y=5(220-2r). (2-5)

( ) LM, .

LM:

Ld = LT+L = hY-fr

100 = 0,2 Y-2r. (2-6)

, , . IS-LM . IS LM. (2-5) (2-6).

AD:

Y = Akf+M/Pkm;

 

kf IS-LM;

k IS-LM;

;

f ;

h ;

b ;

k .

, :

3000 = 200 2,5 + 200 2,5/;

= 2500: 500;

= 5.

: = 5.

6.

1

a) ;

b) ;

c) ;

d) .

 

2

..

a) ;

b) ;

c) ;

d) .

 

3

a) ;

b) ;

c) ;

d) .

 

4

:

a) ;

b) ;

c) ;

d) .

 

5

a) ;

b) ;

c) ;

d) .

 

1

, 10% , 8%, 5%?

 

 

:

 

;

;

: 7%.

2

, ?

 

 

:

 

 


; ; ; ; .

 

: 5.

 

3

2000 . ., 100 . . 300 . . , .

:

; ; ;

2=3*2000 = 6000.

:

 

4

5000 . .,

2,

0,3,

:

 

 


.

:

:

MV= .

=/V; = 5000:2 = 2500 . .

:

MD. = 0,3*500 = 1500

D=D. + D . = 1500+ D.

D=

, D=2500, D. = 2500-1500=1000

, 8 % .

: 8%.

 

5

3000 . 600 . 5 , , ? ?

:

rr1 = (600 / 3000) 100% = 20%;

mult1 = 1 / 0,2 = 5; rr2 = 20% - 5% = 15%;

mult2 = 1 / 0,15 = 6 2/3; ∆ mult= 6 2/3 - 5 = 12/3;

∆M= M2- M1 = D x mult2 D x mult1 = 3000 x 12/3 = 5000,

∆M = ∆M2 - ∆M = K2 x mult2- 1 x mult1 = [(3000 - 3000 x 0,15) x 62/3] -[(3000 - 3000 x 0,2) x 5] = 17 000 - 12 000 = 5000.

:

 

6

500 . . 50 . . , 20 . . ?

:

rr = (50 / 500) 100% = 10%; mult= 1 / 0,1 = 10;

= D- R 1 = 500 - 500 0,1=450;

∆M1 = 1 x mult = 450 10 = 4500;

K2= D2- R 2 = 432;

∆= 450 432 =18 ( 18 . .);

∆M = ∆ mult= 18x10= 180 ( 180 . .).

: 18 . .; ( 180 . .

 

7

60 . . 20%. . ?

:

48 . . (= 60 60 0,2 = 48); mult = 1 /0,2 = 5.

240 . . (∆= ∆ mult = 48 5 = 240).

300 . . (= 240 + 60 = 300, = ∆M/ (1 - 0,2) = 240 / 0,8 = 300).

: 300.

8

350 . . 70 . . 30 . . ? ? , ?

:

100 . . (R= R + R = 70 + 30=100);

250 . . (= D - R = 350 - 100 = 250); rr = (70 / 350) 100% = 20%; mult= 1 / 0,2 = 5.

, 150 . . (∆M = R x mult = 30 5 = 150).

: 150.

 

9

5. , , 40 . , . , 5 ?

:

rr1 = (1 / mult1) 100% = (1 / 5) 100% = 20%;

rr2 = 20% + 5% = 25%; mult 2= 1 / rr2 = 1 / 0,25 = 4;

1 = ∆M1 / mult1 = 40 / 4 = 8;

D= 1 / (1 - rr1) = 8 / 0,8 = 10;

∆M = ∆M 2-∆M1 = D x (mult2- mult1) = 10 (4 - 5) = -10,

∆M = ∆M 2-∆M1 = 2 mult2- K1 mult1 K2 = D D x rr= 10 - 10 0,25 = 7,5;

∆M = 7,5 4 - 8 5 = 10 ( 10 .).

: 10.

 

10

12%. 20 . . 16,8 . . ?

:

= D D x rr = 20-20x0,12= 17,6; R = 17,6 - 16,8 = 0,8; 4% (R / D) 100% ==(0,8 / 20) 100% = 4%).

: 4%.

 

11

200 . . 100 . . 20 %. ? ? ?

:

, 60 . . (= R= R - R = 100 200 0,2 = 60); , 300 . . (∆M = mult= 60 (1 / 0,2) = 300).

: 300.

 

12

40 . . 12,5%, 5% . .

:

2 . . (= R = 40 0,05 = 2);

16 . . (∆M = mult= 2 (1 / 0,125) =16),

: 16.

13

, 4000 .. 2, 2000 .., 10%. 2 , 25% , 300 15%. , , .

:

:

Ld = hY-fr,

f ;

h .

:

Ld=Ms/P.

, , , :

 

:





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