
Subpart (a):
To determine: The range of real
Subpart (a):

Explanation of Solution
The range of real GDP is a set comprising of a low estimate and a high estimate. The range of real GDP is estimated using the following equation.
Range of Real GDP = [Low estimateGDP,High estimateGDP] (1)
Here
Low estimateGDP = Low estimate% change×Real GDPHigh estimateGDP = High estimate% change×Real GDP
Using equation (1), the range of real GDP for 2009 is calculated as follows:
Low estimateGDP = 0.9100×12.71×109=114.4×106=114.4 billionHigh estimateGDP = 1.9100×12.71×109= 241.5×106=241.5 billion
Hence, the range of real GDP for 2009 is [$ 114.4 billion , $ 241.5 billion].
Similarly using equation (1), the range of real GDP for all the given years is estimated and tabulated in table 1.
Table 1
CBO Estimates Aug. 2011 | Change Attributable to the ARRA | |
Increased Real GDP (billions of 2005 $) | ||
Low estimate | High estimate | |
2009 | 114.4 | 241.5 |
2010 | 196.4 | 549.8 |
2011 (1st & 2nd Qtr) | 62.9 | 188.8 |
Total (=2009+2010+2011(1st& 2ndQtr)) | 373.6 | 980.6 |
Concept Introduction:
Real GDP: Real Gross Domestic Product is the total market value of all the final goods and services produced in a country in a given year.
Subpart (b):
The Midpoint growth estimates.
Subpart (b):

Explanation of Solution
The Midpoint growth percent is calculated using the following equation:
Midpoint growth % = Low estimate% change+ High estimate% change2 (2)
Using equation (2), Midpoint growth per cent for 2009 is calculated as follows:
Midpoint growth % = 0.9+ 1.92=2.82=1.4
The midpoint growth percent for 2009 is 1.4%.
The Midpoint growth estimate is calculated using the following equation:
Midpoint growth = Midpoint growth % ×Real GDP (3)
Using equation (3), Midpoint growth estimate for 2009 is calculated as follows:
Midpoint growthReal GDP = 1.4100×12.71×109=177.9×106=177.9 billion
The midpoint growth for 2009 is $ 177.9 billion.
Similarly using equation (2) and (3), the midpoint results for all the given years is estimated and tabulated in table 2.
Table 2
CBO Estimates Aug. 2011 | Midpoint Results | |
Midpoint Growth Estimate (Per cent) |
Increased Real GDP (billions of 2005 $) | |
2009 | 1.4 | 177.9 |
2010 | 2.85 | 373.1 |
2011 (1st & 2nd Qtr) | 1.9 | 125.9 |
Total (=2009+2010+2011(1st& 2ndQtr)) | 676.9 |
Concept Introduction:
Real GDP: Real Gross Domestic Product is the total market value of all the final goods and services produced in a country in a given year.
Subpart (c):
The multiplier effect.
Subpart (c):

Explanation of Solution
The multiplier effect is evaluated by comparing the estimates with the actual values.
- 1. The low estimate is $ 373.6 billion and the actual stimulus spending is 677.6. The difference between the estimate and the actual value is -$303.9 (373.6−677.6) billion. Since the value is negative, the multiplier is less than1, thus it is the generated crowding out effect.
- 2. The midpoint estimate is $ 676.9 billion and the actual stimulus spending is 677.6. The difference between the estimate and the actual value is approximately 0 (676.9−677.6). Since the value is closer to 0, multiplier is equal to 1, hence there is no multiplier effect.
- 3. The high estimate is $ 980.6 billion and the actual stimulus spending is 677.6. The difference between the estimate and the actual value is approximately $302.5 (980.6−677.6) billion. Since the value is positive, the multiplier is greater than 1, hence there is multiplier effect.
Concept Introduction:
Multiplier: Multiplier refers to the ratio of change in the real GDP to the change in the initial consumption at a constant price rate. Multiplier is positively related to the marginal propensity of the consumer and negatively related to the marginal propensity to save.
Subpart (d):
The range of a multiplier effect.
Subpart (d):

Explanation of Solution
The low estimate suggests a crowding out and the midpoint estimates suggest no multiplier effect. However, the high estimate suggests a multiplier effect in the range of that which is
Concept Introduction:
Multiplier: Multiplier refers to the ratio of change in the real GDP to the change in the initial consumption at a constant price rate. Multiplier is positively related to the marginal propensity of the consumer and negatively related to the marginal propensity to save.
Crowding out: Crowding out effect refers to the decrease in the availability of money for the private investment due to the increase in the fiscal expansion.
Subpart (e):
The limits of fiscal policy that is explaining the variation in the size of an impact estimate.
Subpart (e):

Explanation of Solution
Crowding out, a drop in the bucket and a matter of timing are possible limits of fiscal policy and they explain why the size of the impact estimated varied from the 1.57 multiplier effect forecasted by the White House at the time of the ARRA legislation
- 1. Crowding out may have occurred in the categories of reduced consumption spending and reduced spending on alternative assets, since the Fed kept interest rates are low as the taxes were not increased but bonds were sold.
- 2. There was only a drop in the bucket, since the stimulus was small in real terms as it accounts only 5 percent of average real GDP.
- 3. Fiscal policy lags were clearly visible throughout the stimulus process.
Concept Introduction:
Multiplier: Multiplier refers to the ratio of change in the real GDP to the change in the initial consumption at a constant price rate. Multiplier is positively related to the marginal propensity of the consumer and negatively related to the marginal propensity to save.
Crowding out: Crowding out effect refers to the decrease in the availability of money for the private investment due to increase in the fiscal expansion.
Subpart (f):
The fiscal policy during the Aggregate demand shock.
Subpart (f):

Explanation of Solution
The authors stress on the point that the Fiscal policy is the strongest when the economy is in an Aggregate demand shock that is a recession caused by a low aggregate demand. The low aggregate demand is caused by the decrease in the demand in housing sectors and its reverberations, the decrease in consumer confidence and the firms’ unwillingness to invest has given increased levels of uncertainty. Low aggregate demand also subsequently slows down the money growth and the financial intermediation.
Concept Introduction:
Fiscal Policy: It deals with the
Aggregate demand (AD): Aggregate demand refers to the total value of the goods and services that are demanded at a particular price in a given period of time.
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Chapter 18 Solutions
Modern Principles: Macroeconomics
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