Answer:
1. Aggregate output demanded is $500 billion. True.
Aggregate Demand (Y) = C + G + I
Y = 40+0.9∗DI + 80 + 20
Y = 40 + 0.9 ∗ (Y−100) + 80 + 20
Y = 50 + 0.9Y
0.1Y = 50
Y = $500 billion
2. Suppose the government decides to increase spending by $10 billion without raising taxes. Because the expenditure multiplier is 10. True.
Expenditure Multiplier = 1 / ( 1 - Marginal Propensity to Consume)
Marginal Propensity to Consume = 0.9 as per the Consumption function.
= 1/ ( 1 - 0.9)
= 10
2. b. this will increase the economy's aggregate output demanded by $100 billion. True.
Change in Aggregate output = Increase in government expenditure * expenditure multiplier
= 10 billion * 10
= $100 billion
3. ... In this case, the economy's aggregate output demanded is $500 billion . True.
Aggregate Demand (Y) = C + G + I
Y = 40+0.9∗DI + 80 + 20
Y = 40 + 0.9 ∗ (0.80∗Y) + 80 + 20
Y = 140 + 0.72Y
0.28Y = 140
Y = $500 billion
4. Given an income tax of 20%, the expenditure multiplier is approximately 3.6. True.
As a result of the new tax, the MPC will become;
= 0.9 * ( 0.80 * Y)
= 0.72Y.
Expenditure Multiplier = 1 / ( 1 - Marginal Propensity to Consume)
= 1/ ( 1 - 0.72)
= 3.57
= 3.6
4. b. Therefore, if the government decides to increase spending by $10 billion without raising tax rates, this would increase the economy's aggregate output demanded by approximately $36 billion. True.
Change in Aggregate output = Increase in government expenditure * expenditure multiplier
= 10 billion * 3.6
= $36 billion
5. A $10 billion increase in government purchases will have a larger effect on output under a fixed tax of $100 billion. True.
When the tax was fixed, an increase in Government purchases of $10 billion resulted in an increase in Aggregate output of $100 billion. When the Government switched to income taxes however, a $10 billion increase in Government spending led to a significantly lesser increase in Aggregate output of $36 billion.
