a. Y = C + I + G = 200 + 0.75(Y - 100) + 200 - 25r + 100 |
r |
Y |
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Y = 200 + 0.75Y
- 75 + 200 -25r + 100 |
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0 |
1700 |
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Y - 0.75Y = 425
-25r |
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1 |
1600 |
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0.25Y = 425 - 25r |
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2 |
1500 |
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Y =1700 - 100r
This is IS equation |
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3 |
1400 |
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4 |
1300 |
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5 |
1200 |
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6 |
1100 |
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7 |
1000 |
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8 |
900 |
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b. M/P = Y -
100r |
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1000/2 = Y - 100r |
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500 = Y - 100r |
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Y = 500 + 100r
This is LM equation |
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r |
Y |
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0 |
500 |
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1 |
600 |
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2 |
700 |
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3 |
800 |
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4 |
900 |
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5 |
1000 |
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6 |
1100 |
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7 |
1200 |
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8 |
1300 |
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c. Set Y = Y |
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1700 - 100r =
500 + 100r |
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1200 = 200r |
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r = 1200/200 =
6 |
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Y = 1700 - 600
= 1100 |
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d. Y = C + I +
G = 200 + 0.75(Y - 100) + 200 - 25r + 150 |
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Y = 200 + 0.75Y
- 75 + 200 -25r + 150 |
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Y - 0.75Y = 475
-25r |
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0.25Y = 475 - 25r |
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Y =1900 - 100r
This is new IS equation |
The IS curve shifts up by 200 |
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Set Y = Y |
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1900 - 100r =
500 + 100r |
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1400 = 200r |
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r = 1400/200 =
7 |
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Y = 1900 - 700
= 1200 |
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e. M/P = Y -
100r |
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1200/2 = Y - 100r |
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600 = Y - 100r |
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Y = 600 + 100r
This is new LM equation |
The LM curve shifts up by 100 |
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Set Y = Y |
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1700 - 100r =
600 + 100r |
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1100 = 200r |
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r = 1100/200 =
5.5 |
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Y = 1700 - 550
= 1150 |
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f. M/P = Y -
100r |
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1000/4 = Y - 100r |
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250 = Y - 100r |
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Y = 250 + 100r
This is new LM equation |
The LM curve shifts down by 250 |
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Set Y = Y |
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1700 - 100r =
250 + 100r |
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1450 = 200r |
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r = 1450/200 =
7.25 |
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Y = 1700 - 7250
= 975 |
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g. M/P = Y -
100r |
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Y |
P |
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1000/P = Y - 100r |
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1350 |
1 |
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100r = Y - 1000/P |
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1100 |
2 |
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r = Y/100 -
10/P |
This is LM equation expressing r in terms of Y |
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1016.667 |
3 |
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From IS
equation, solve for r in terms of Y |
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975 |
4 |
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100r = 1700 - Y |
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950 |
5 |
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r = 17 - Y/100 |
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933.3333 |
6 |
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Set r = r |
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921.4286 |
7 |
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Y/100 - 10/P =
17 - Y/100 |
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912.5 |
8 |
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2Y/100 = 17 +
10/P |
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Y/50 = 17/P |
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Y = 850 + 500/P |
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This aggregate
demand curve will shift if fiscal or monetary changes, as in parts (d) and
(e). |
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