ECON 350 - CLASSICAL
ECONOMICS - Gross Domestic
Product (GDP) calculations
Question Bank - Set 4
Liberty University
Question 1
Question
Assume a country’s economy consists of only three sectors with the following
values: the agriculture sector produces
$
500 million, the manufacturing sector
produces
$
800 million, and the service sector produces
$
600 million. Addition-
ally, the country imports goods and services worth
$
200 million and exports
goods and services worth
$
100 million. Calculate the Gross Domestic Product
(GDP) of the country using the production approach.
Solution
Step 1: Calculate the GDP using the production approach by summing the
value added by each sector.
GDP = Value added by agriculture + Value added by manufacturing + Value added by services
= $500 million + $800 million + $600 million
= $1900 million
Step 2: Adjust for net exports (exports - imports).
GDP = $1900 million −$200 million + $100 million
= $1800 million
Therefore, the Gross Domestic Product (GDP) of the country using the
production approach is
$
1800 million.
Question 2
Question
Suppose a country’s economy has the following data for a given year:
- Consumption expenditure:
$
500 billion - Investment expenditure:
$
200
billion - Government expenditure:
$
150 billion - Exports:
$
100 billion - Imports:
$
80 billion - Depreciation:
$
50 billion - Taxes:
$
120 billion - Subsidies:
$
30
billion
Calculate the Gross Domestic Product (GDP) of the country for the year.
Solution
Step 1: Calculate the Gross Domestic Product (GDP) using the expenditure
approach formula:
GDP = C+I+G+ (X−M)
where: - C= Consumption expenditure - I= Investment expenditure - G=
Government expenditure - X= Exports - M= Imports
Step 2: Calculate net exports (X−M):
X−M= 100 −80 = 20 billion
Step 3: Calculate GDP using the data given:
GDP = 500 + 200 + 150 + 20 = 870 billion
Therefore, the Gross Domestic Product (GDP) of the country for the year
is
$
870 billion.
Question 3
Question
Suppose a country’s GDP is calculated as follows:
Consumption expenditure:
$
500 billion
Investment expenditure:
$
200 billion
Government expenditure:
$
300 billion
Net exports:
$
50 billion
Calculate the country’s GDP using the expenditure approach.
2
Solution
To calculate the country’s GDP using the expenditure approach, we sum up the
total expenditures on final goods and services in the economy. The formula for
GDP using the expenditure approach is:
GDP =C+I+G+NX
where:
C= Consumption expenditure
I= Investment expenditure
G= Government expenditure
NX = Net exports (exports - imports)
Step 1: Substitute the given values into the formula.
GDP = 500 billion + 200 billion + 300 billion + 50 billion
Step 2: Calculate the GDP.
GDP = 500 billion + 200 billion + 300 billion + 50 billion
= 1050 billion
Therefore, the country’s GDP using the expenditure approach is
$
1050 bil-
lion.
Question 4
Question
Suppose an economy produces only apples and oranges. The following table
shows the quantities produced and their respective prices for the years 2020 and
2021:
Year Apples (quantity) Oranges (quantity)
2020 100 50
2021 120 60
Item Price per unit in 2020 (
$
) Price per unit in 2021 (
$
)
Apples 1 1.5
Oranges 2 3
Calculate the nominal GDP for 2020 and 2021.
3
Solution
Step 1: Calculate nominal GDP for the year 2020.
Nominal GDP2020 = (Quantity of Apples2020 ×Price per Apple2020) + (Quantity of Oranges2020 ×Price per Orange2020)
= (100 ×1) + (50 ×2)
= 100 + 100
= 200
Step 2: Calculate nominal GDP for the year 2021.
Nominal GDP2021 = (Quantity of Apples2021 ×Price per Apple2021) + (Quantity of Oranges2021 ×Price per Orange2021)
= (120 ×1.5) + (60 ×3)
= 180 + 180
= 360
Therefore, the nominal GDP for the year 2020 is
$
200 and for the year 2021
is
$
360.
Question 5
Question
Calculate the Gross Domestic Product (GDP) using the expenditure approach
given the following information:
Component Amount (
$
)
Consumption 5000
Investment 1000
Government spending 2000
Exports 1500
Imports 800
Solution
Step 1: Calculate GDP using the expenditure approach formula:
GDP =C+I+G+ (X−M)
where: - Cis consumption - Iis investment - Gis government spending - Xis
exports - Mis imports
Step 2: Substitute the given values into the formula:
GDP = 5000 + 1000 + 2000 + (1500 −800)
Step 3: Calculate the value of GDP:
GDP = 5000 + 1000 + 2000 + 700 = 8700
Therefore, the Gross Domestic Product (GDP) using the expenditure ap-
proach is
$
8700.
4
Question 6
Question
Suppose a country’s economy produces the following goods and services in a
year: - 10,000 units of wheat at a price of 4perunit−5,000unitsofcornatapriceof3
per unit - 1,000 units of clothing at a price of 50perunit−2,000unitsof computersatapriceof800
per unit
Calculate the country’s Gross Domestic Product (GDP) using the expendi-
ture approach.
Solution
Step 1: Calculate the total value of each type of goods and services produced. -
Wheat: 10,000×4 = 40,000 −Corn :5,000 ×3 = 15,000 −Clothing :1,000 ×50
= 50,000 −Computers :2,000 ×800 = 1,600,000
Step 2: Calculate the total GDP by summing up the values of all goods
and services produced. Total GDP = 40,000+15,000 + 50,000+1,600,000 =
1,705,000
Therefore, the country’s Gross Domestic Product (GDP) using the expen-
diture approach is 1,705,000.
Question 7
Question
Consider the following hypothetical economy with the following information:
Consumption:
$
500 billion
Government Spending:
$
200 billion
Investment:
$
300 billion
Exports:
$
100 billion
Imports:
$
50 billion
Calculate the Gross Domestic Product (GDP) for this economy.
Solution
To calculate the Gross Domestic Product (GDP), we can use the expenditure
approach formula:
GDP = Consumption + Investment + Government Spending + Net Exports
Where Net Exports is calculated as Exports minus Imports.
5
Step 1: Calculate Net Exports
Net Exports = Exports −Imports
= 100 billion −50 billion
= 50 billion
Step 2: Substitute the given values into the GDP formula
GDP = 500 billion + 300 billion + 200 billion + 50 billion
= 1050 billion
Therefore, the Gross Domestic Product (GDP) for this economy is
$
1050
billion.
Question 8
Question
The table below provides information on the components of GDP for a fictional
country in a given year:
Component Value (in billions of dollars)
Consumption 500
Investment 150
Government Spending 100
Exports 80
Imports 60
Given the data in the table, calculate the Gross Domestic Product (GDP)
for the fictional country in that year.
Solution
Step 1: Calculate GDP using the expenditure approach formula:
GDP = Consumption+Investment+Government Spending+(Exports−Imports)
Step 2: Substitute the given values into the formula:
GDP = 500 + 150 + 100 + (80 −60)
Step 3: Perform the calculations:
GDP = 750 + 20 = 770 billion dollars
Therefore, the Gross Domestic Product (GDP) for the fictional country in
that year is 770 billion dollars.
6
Question 9
Question
Suppose a country’s GDP is
$
10,000 million, its government purchases amount
to
$
2,500 million, its net exports are
$
500 million, its consumption is
$
6,000
million, and its gross private domestic investment is
$
2,000 million. Calculate
the country’s GDP using the expenditure approach.
Solution
Step 1: The expenditure approach to calculating GDP is given by the formula:
GDP =C+I+G+ (X−M)
where: - Cis consumption - Iis gross private domestic investment - Gis
government purchases - Xis exports - Mis imports
Given:
C= $6,000 million
I= $2,000 million
G= $2,500 million
X= $500 million
M=?
Step 2: To find M, we can use the fact that net exports (X−M) is given
as
$
500 million:
X−M= $500 million
500 −M= 500
−M= 0
M= 0
Step 3: Now that we have all the values, we can calculate the country’s
GDP:
GDP =C+I+G+ (X−M)
GDP = 6,000 + 2,000 + 2,500 + (500 −0)
GDP = 6,000 + 2,000 + 2,500 + 500
GDP = 11,000 million
Therefore, the country’s GDP using the expenditure approach is
$
11,000
million.
7
Question 10
Question
Calculate the Gross Domestic Product (GDP) using the expenditure approach
for an economy with the following information:
Consumption expenditure: 400 billion
Investment expenditure: 200 billion
Government expenditure: 150 billion
Exports: 50 billion
Imports: 30 billion
Solution
Step 1: Calculate Net Exports (NX)
NX = Exports −Imports
NX = 50 −30 = 20 billion
Step 2: Use the formula for GDP using the expenditure approach
GDP = Consumption expenditure+Investment expenditure+Government expenditure+Net Exports
GDP = 400 + 200 + 150 + 20 = 770 billion
Therefore, the Gross Domestic Product (GDP) for this economy is 770 bil-
lion.
Question 11
Question
Consider an economy with the following values for the components of GDP in
a given year:
Consumption expenditure:
$
800 billion
Investment:
$
200 billion
Government spending:
$
300 billion
Exports:
$
150 billion
Imports:
$
100 billion
Calculate the Gross Domestic Product (GDP) using the expenditure approach.
8
Solution
Step 1: The GDP using the expenditure approach is calculated as the sum of
Consumption Expenditure (C), Investment (I), Government Spending (G), and
Net Exports (NX).
GDP =C+I+G+NX
Step 2: Calculate Net Exports by subtracting Imports from Exports.
NX =Exports −Imports = $150 billion −$100 billion = $50 billion
Step 3: Now, substitute the given values into the GDP formula.
GDP = $800 billion + $200 billion + $300 billion + $50 billion = $1350 billion
Therefore, the Gross Domestic Product (GDP) of the economy is
$
1350
billion.
Question 12
Question
Suppose a country’s Gross Domestic Product (GDP) is given by the equation
Y=C+I+G+(X−M), where Yrepresents GDP, Crepresents consumption, I
represents investment, Grepresents government spending, Xrepresents exports,
and Mrepresents imports.
If the values of C,I,G,X, and Mare as follows: C= 500, I= 200,
G= 300, X= 150, and M= 100, calculate the GDP for this country.
Solution
Step 1: Substitute the given values into the GDP equation.
Y=C+I+G+ (X−M)
Y= 500 + 200 + 300 + (150 −100)
Step 2: Perform the arithmetic operations.
Y= 500 + 200 + 300 + 50
Y= 1000 + 50
Y= 1050
Therefore, the Gross Domestic Product (GDP) for this country is 1050.
9
Question 13
Question
Suppose a country’s economy can be broken down into three sectors: agriculture,
manufacturing, and services. The following table shows the value added at each
stage of production for the year 2020:
Sector Value Added (in billions)
Agriculture 50
Manufacturing 100
Services 200
Additionally, the country imported goods worth 30 billion and exported
goods worth 20 billion. Calculate the Gross Domestic Product (GDP) for this
country in 2020.
Solution
Step 1: Calculate GDP using the production approach
The GDP using the production approach can be calculated by summing up the
value added in each sector:
GDP = Value Added in Agriculture+Value Added in Manufacturing+Value Added in Services
GDP = 50 + 100 + 200 = 350 billion USD
Step 2: Adjust GDP for imports and exports
Since imports represent goods produced abroad and exports represent goods
produced domestically but sold abroad, we need to adjust the GDP for the net
exports:
Net Exports = Exports −Imports = 20 −30 = −10 billion USD
Step 3: Final calculation of GDP
The final GDP is calculated by adding the net exports to the GDP from the
production approach:
GDP = GDP from production approach+Net Exports = 350−10 = 340 billion USD
Therefore, the Gross Domestic Product (GDP) for this country in 2020 is
340 billion USD.
Question 14
Question
Suppose a country’s economy can be characterized by the following equations:
- Consumption function: C= 200 + 0.6Y- Investment function: I= 100 -
Government spending: G= 150 - Net exports: N X = 20 where Yrepresents the
country’s GDP. Calculate the country’s GDP using the expenditure approach.
10
Solution
Step 1: Calculate the total expenditure component of GDP
GDP =C+I+G+NX
Step 2: Substitute the given consumption function, investment, government
spending, and net exports values into the GDP formula
GDP = (200 + 0.6Y) + 100 + 150 + 20
Step 3: Simplify by combining like terms
GDP = 200 + 0.6Y+ 100 + 150 + 20
Step 4: Combine constants
GDP = 470 + 0.6Y
Step 5: Rewrite the equation in terms of GDP to solve for Y
GDP −470 = 0.6Y
Step 6: Divide by 0.6 to isolate Y
GDP −470
0.6=Y
Step 7: Calculate the country’s GDP
Y=GDP −470
0.6
Therefore, the country’s GDP is GDP −470
0.6.
Question 15
Question
Suppose a country’s economy can be represented by the following data:
Consumption expenditure:
$
500 billion
Investment expenditure:
$
200 billion
Government expenditure:
$
100 billion
Exports:
$
50 billion
Imports:
$
30 billion
Calculate the Gross Domestic Product (GDP) using the expenditure ap-
proach.
11
Solution
To calculate the Gross Domestic Product (GDP) using the expenditure ap-
proach, we sum up the consumption expenditure, investment expenditure, gov-
ernment expenditure, exports, and subtract imports.
Step 1: Calculate Total Expenditure
Total Expenditure = Consumption + Investment + Government + Exports −Imports
= $500 billion + $200 billion + $100 billion + $50 billion −$30 billion
= $820 billion
Therefore, the total expenditure is
$
820 billion.
Step 2: Gross Domestic Product (GDP) The Gross Domestic Product
(GDP) is equal to the total expenditure.
GDP = $820 billion
Therefore, the Gross Domestic Product (GDP) of the country is
$
820 billion.
Question 16
Question
Suppose a country’s economy can be represented by the following table, where
values are in billions of dollars:
Component Value Percentage of GDP
Consumption 500 50%
Investment 150 15%
Government Spending 100 10%
Exports 70 7%
Imports 60 6%
Statistical Discrepancy ? ?
If the country’s Gross Domestic Product (GDP) is 1000 billion dollars, cal-
culate the missing value of the statistical discrepancy.
Solution
Step 1: Calculate the value of exports and imports. Since exports are a part of
GDP while imports are subtracted from GDP:
Exports −Imports = Net exports
Substitute 70 billion dollars for exports and 60 billion dollars for imports:
70 −60 = 10
12
Therefore, the net exports are 10 billion dollars.
Step 2: Calculate the total value of all components except the statistical
discrepancy.
500 + 150 + 100 + 70 −60 = 760
Step 3: Calculate the missing value by subtracting the total value of all
components from the GDP.
1000 −760 = 240
Therefore, the missing value of the statistical discrepancy is 240 billion dol-
lars.
Question 17
Question
Calculate the Gross Domestic Product (GDP) using the expenditure approach
for a hypothetical country with the following data:
Component Amount (in billions)
Consumption 800
Investment 200
Government Spending 300
Exports 150
Imports 100
Solution
Step 1: Calculate Net Exports:
Net Exports = Exports −Imports
Net Exports = 150 −100 = 50 billion
Step 2: Apply the formula for GDP using the expenditure approach:
GDP = Consumption + Investment + Government Spending + Net Exports
GDP = 800 + 200 + 300 + 50 = 1350 billion
Therefore, the Gross Domestic Product (GDP) for the country is 1350 billion.
Question 18
Question
Consider a hypothetical economy with the following data:
13
Consumption:
$
600 billion
Investment:
$
200 billion
Government spending:
$
150 billion
Exports:
$
100 billion
Imports:
$
120 billion
Calculate the Gross Domestic Product (GDP) of this economy.
Solution
Step 1: Calculate Net Exports
Net Exports = Exports −Imports = $100 billion −$120 billion = −$20 billion
Step 2: Calculate GDP using the Expenditure approach
GDP = Consumption + Investment + Government Spending + Net Exports
GDP = $600 billion + $200 billion + $150 billion + (−$20 billion)
GDP = $930 billion
Therefore, the Gross Domestic Product (GDP) of this economy is
$
930 bil-
lion.
Question 19
Question
Let’s consider a hypothetical country with the following data on nominal GDP,
real GDP, and the GDP deflator for the years 2020 and 2021:
Year Nominal GDP (in billions) Real GDP (in billions) GDP Deflator
2020 200 160 125
2021 240 180 133
Determine the inflation rate from 2020 to 2021 using the GDP deflator
method.
14
Solution
Step 1: Calculate the inflation rate using the GDP deflator formula:
Inflation Rate = GDP Deflator2021 −GDP Deflator2020
GDP Deflator2020 ×100
Step 2: Substitute the given values into the equation to find the inflation
rate:
Inflation Rate = 133 −125
125 ×100 = 8
125×100 ≈6.4%
Therefore, the inflation rate from 2020 to 2021 using the GDP deflator
method is approximately 6.4
Question 20
Question
Suppose an economy produces only apples and oranges. The quantity produced
and the price per unit for each good in two consecutive years are as follows:
Year Apples Produced Price per Apple (
$
) Oranges Produced
Year 1 100 1.50 200
Year 2 120 1.75 190
Calculate the nominal GDP for both years using the current year as the base
year.
Solution
Step 1: Calculate the nominal GDP for Year 1.
Nominal GDPYear 1 = QuantityYear 1 ×PriceYear 1
= (100 ×1.50) + (200 ×1.50)
= 150 + 300
= $450
Step 2: Calculate the nominal GDP for Year 2.
Nominal GDPYear 2 = QuantityYear 2 ×PriceYear 2
= (120 ×1.75) + (190 ×1.75)
= 210 + 332.5
= $542.5
15
Question 21
Question
Suppose a country’s GDP is determined using the income approach. The fol-
lowing information is provided:
Wages and salaries:
$
500 billion
Rental income:
$
50 billion
Corporate profits:
$
200 billion
Interest income:
$
100 billion
Taxes on production and imports:
$
150 billion
Government subsidies:
$
25 billion
Depreciation:
$
75 billion
Net foreign factor income earned domestically:
$
20 billion
Calculate the GDP of the country using the income approach.
Solution
Step 1: Calculate Net Domestic Income at Factor Cost (NDI)
NDI = Wages and salaries+Rental income+Corporate profits+Interest income−Taxes on production and imports+Government subsidies+Net foreign factor income earned domestically
NDI = 500 + 50 + 200 + 100 −150 + 25 + 20
NDI = 745
Step 2: Adjust NDI for Depreciation
GDP =NDI + Depreciation
GDP = 745 + 75
GDP = 820
Therefore, the GDP of the country using the income approach is
$
820 billion.
16
Question 22
Question
Suppose a country has the following data on nominal GDP, real GDP, and the
GDP deflator for two consecutive years:
Year 1:
–Nominal GDP =
$
12.5 trillion
–Real GDP =
$
10.8 trillion
–GDP deflator = 1.157
Year 2:
–Nominal GDP =
$
14.2 trillion
–Real GDP =
$
11.6 trillion
–GDP deflator = 1.224
Calculate the percentage change in real GDP between Year 1 and Year 2.
Solution
Step 1: Calculate the GDP growth rates for Years 1 and 2 using the GDP
deflator formula:
GDP growth rate = Nominal GDP growth rate
Real GDP growth rate
For Year 1:
GDP growth rate (Year 1) = 1.157
1= 1.157
For Year 2:
GDP growth rate (Year 2) = 1.224
1= 1.224
Step 2: Calculate the percentage change in real GDP:
Percentage change in real GDP = (GDP growth rate (Year 2)−GDP growth rate (Year 1))×100%
= (1.224 −1.157) ×100%
= 0.067 ×100%
= 6.7%
Therefore, the percentage change in real GDP between Year 1 and Year 2 is
6.7%.
17
Question 23
Question
Assume a country’s economy produces only three goods: cars, computers, and
books. The following table shows the quantities produced and their respective
prices in two consecutive years:
Good Quantity Produced (Year 1) Price (Year 1) Quantity Produced (Year 2) Price (Year 2)
Cars 100 $20,000 120 $22,000
Computers 200 $2,000 180 $2,200
Books 500 $50 600 $60
Using the information provided in the table, calculate the GDP deflator for
Year 2 relative to Year 1, and interpret the result in the context of inflation or
deflation.
Solution
Step 1: Calculate the nominal GDP for each year. To calculate the nominal
GDP, we multiply the quantity produced by the price of each good and sum the
values. For Year 1:
Nominal GDPYear 1 = (100 ×$20,000) + (200 ×$2,000) + (500 ×$50)
= $2,000,000 + $400,000 + $25,000
= $2,425,000
For Year 2:
Nominal GDPYear 2 = (120 ×$22,000) + (180 ×$2,200) + (600 ×$60)
= $2,640,000 + $396,000 + $36,000
= $3,072,000
Step 2: Calculate the real GDP for each year. To calculate the real GDP, we
use the prices from Year 1 as the base year and multiply the quantity produced
by these prices, then sum the values. For Year 1:
Real GDPYear 1 = (100 ×$20,000) + (200 ×$2,000) + (500 ×$50)
= $2,425,000
For Year 2:
Real GDPYear 2 = (120 ×$20,000) + (180 ×$2,000) + (600 ×$50)
= $2,400,000 + $360,000 + $30,000
18
= $2,790,000
Step 3: Calculate the GDP deflator. GDP Deflator = Nominal GDP
Real GDP ×100
For Year 1:
GDP DeflatorY ear1=$2,425,000
$2,425,000×100 = 100
For Year 2:
GDP DeflatorY ear2=$3,072,000
$2,790,000×100 ≈110
Step 4: Interpretation With a GDP deflator of approximately 110 for Year
2 relative to Year 1, we can conclude that there has been inflation. This means
that on average, prices of goods and services in the economy have increased by
about 10
Question 24
Question
Calculate the Gross Domestic Product (GDP) using the expenditure approach
based on the following information:
Consumption expenditure:
$
2,500
Investment expenditure:
$
1,000
Government expenditure:
$
800
Net exports:
$
300
Solution
Step 1: Calculate the total expenditure.
Total expenditure = Consumption + Investment + Government + Net exports
Step 2: Substitute the given values into the formula.
Total expenditure = 2,500 + 1,000 + 800 + 300
Total expenditure = 4,600
Step 3: Calculate the Gross Domestic Product (GDP).
GDP = Total expenditure
Step 4: Substitute the total expenditure into the GDP formula.
GDP = 4,600
Therefore, the Gross Domestic Product (GDP) calculated using the expen-
diture approach is
$
4,600.
19
Question 25
Question
Assume a simple economy consists of three sectors: agriculture, manufacturing,
and services. The following table shows the nominal GDP (in billions of dollars)
and the price index for each sector for the year 2020 and 2021:
Sector Nominal GDP 2020 (in billions) Price Index 2020 Nominal GDP 2021 (in billions)
Price Index 2021
Agriculture 300 120 350
130
Manufacturing 500 150 550
160
Services 400 100 420
110
Calculate the real GDP for each sector in 2021 using the chain-weighted
GDP price index method (base year 2020).
Solution
Step 1: Calculate the real GDP for each sector in 2020:
Real GDP Agriculture 2020 = Nominal GDP Agriculture 2020
Price Index 2020 ×100
=300
120 ×100
= 250 billion dollars
Real GDP Manufacturing 2020 = Nominal GDP Manufacturing 2020
Price Index 2020 ×100
=500
150 ×100
= 333.33 billion dollars
Real GDP Services 2020 = Nominal GDP Services 2020
Price Index 2020 ×100
=400
100 ×100
= 400 billion dollars
20
Step 2: Calculate the real GDP for each sector in 2021:
Real GDP Agriculture 2021 = Nominal GDP Agriculture 2021
Price Index 2020 ×100
=350
120 ×100
≈291.67 billion dollars
Real GDP Manufacturing 2021 = Nominal GDP Manufacturing 2021
Price Index 2020 ×100
=550
150 ×100
≈366.67 billion dollars
Real GDP Services 2021 = Nominal GDP Services 2021
Price Index 2020 ×100
=420
100 ×100
= 420 billion dollars
Question 26
Question
Suppose a country’s economy can be described by the following table:
Category Spending (in billions) Income (in billions)
Consumption 600 750
Investment 150 175
Government Spending 200 200
Exports 100 −
Imports −80
Calculate the country’s Gross Domestic Product (GDP) using the expendi-
ture approach and the income approach. Assume there are no indirect taxes or
subsidies.
Solution
Expenditure Approach:
GDP = Consumption + Investment + Government Spending + (Exports
- Imports)
21
Plugging in the values from the table, we get:
GDP = 600 + 150 + 200 + (100 - 80)
GDP = 600 + 150 + 200 + 20
GDP = 970 billion
Income Approach:
GDP = Compensation of Employees + Gross Operating Surplus + Gross
Mixed Income + Taxes on Production and Imports - Subsidies
For simplicity, we’ll assume all income is in the form of wages (compen-
sation of employees) and profits (gross operating surplus and gross mixed
income).
Thus, Income = Wages (Consumption) + Profits (Investment) = 750 +
175 = 925
GDP = 925 billion
Question 27
Question
Suppose a country’s economy is composed of three sectors with the following
information:
Sector A produces
$
500,000 worth of goods and services
Sector B contributes
$
300,000 in intermediate goods and services
Sector C employs
$
150,000 in goods and services
Non-residents produce
$
50,000 worth of goods and services within the
country
Calculate the Gross Domestic Product (GDP) using the expenditure ap-
proach.
Solution
To calculate the Gross Domestic Product (GDP) using the expenditure ap-
proach, we sum up the expenditures on final goods and services produced within
the country. The formula is:
GDP = C+I+G+ (X−M)
Where:
22
C= Household consumption
I= Business investment
G= Government spending
X= Exports
M= Imports
In this case, we are given the information for different sectors. We need to
properly categorize them into the expenditure components.
Step 1: Calculate Household Consumption (C)
C= Sector A goods and services = $500,000
Step 2: Calculate Business Investment (I)
I= Sector C goods and services = $150,000
Step 3: Calculate Government Spending (G)
G= 0 (not given)
Step 4: Calculate Exports (X)
X= 0 (not given)
Step 5: Calculate Imports (M)
M= Intermediate goods and services from Sector B+Non-resident goods and services = $300,000+$50,000 = $350,000
Step 6: Calculate GDP
GDP = C+I+G+(X−M) = $500,000+$150,000+0+(0−$350,000) = $300,000
Therefore, the Gross Domestic Product (GDP) using the expenditure ap-
proach is
$
300,000.
Question 28
Question
Calculate the Gross Domestic Product (GDP) using the following information:
Consumption expenditure:
$
800 billion
Investment expenditure:
$
200 billion
Government expenditure:
$
300 billion
Net exports:
$
50 billion (exports - imports)
23
Solution
Step 1: Calculate the components of GDP.
Consumption expenditure:
$
800 billion
Investment expenditure:
$
200 billion
Government expenditure:
$
300 billion
Net exports:
$
50 billion
Step 2: Calculate the Gross Domestic Product (GDP) using the formula:
GDP =C+I+G+ (X−M)
Where:
C= Consumption expenditure
I= Investment expenditure
G= Government expenditure
X= Exports
M= Imports
Substitute the given values into the formula:
GDP = 800 + 200 + 300 + (50)
= 800 + 200 + 300 + 50
= 1350 billion
Therefore, the Gross Domestic Product (GDP) is
$
1350 billion.
Question 29
Question
Calculate the Gross Domestic Product (GDP) using the expenditure approach
for a country with the following data:
Category Amount (in billions)
Consumption 600
Investment 200
Government Spending 150
Exports 100
Imports 80
24
Solution
Step 1: To calculate GDP using the expenditure approach, we use the formula:
GDP =C+I+G+ (X−M)
where: - Cis consumption - Iis investment - Gis government spending - Xis
exports - Mis imports
Step 2: Substitute the given values into the formula:
GDP = 600 + 200 + 150 + (100 −80)
Step 3: Perform the calculations:
GDP = 600 + 200 + 150 + 20
Step 4: Calculate the final GDP:
GDP = 970 billion
Therefore, the Gross Domestic Product (GDP) of the country using the
expenditure approach is 970 billion.
Question 30
Question
Consider the following hypothetical economy: - Consumption:
$
500 billion -
Investment:
$
200 billion - Government spending:
$
150 billion - Exports:
$
100
billion - Imports:
$
80 billion
Calculate the Gross Domestic Product (GDP) of this economy using the
expenditure approach.
Solution
Step 1: The formula for calculating GDP using the expenditure approach is:
GDP =C+I+G+ (X−M)
where: - C is consumption - I is investment - G is government spending - X is
exports - M is imports
Step 2: Substitute the given values into the formula:
GDP = 500 + 200 + 150 + (100 −80)
Step 3: Perform the calculations:
GDP = 500 + 200 + 150 + 20
GDP = 850 + 20
GDP = 870 billion dollars
Therefore, the Gross Domestic Product (GDP) of this economy is
$
870 bil-
lion.
25
Question 31
Question
Suppose a country’s economy can be represented by the following information:
Consumption Expenditure:
$
500 billion
Investment Expenditure:
$
200 billion
Government Spending:
$
150 billion
Exports:
$
80 billion
Imports:
$
60 billion
Calculate the Gross Domestic Product (GDP) using the expenditure approach.
Solution
Step 1: The GDP using the expenditure approach is calculated by summing up
the components of expenditure: Consumption Expenditure (C), Investment Ex-
penditure (I), Government Spending (G), and Net Exports (NX). The formula
is given by
GDP =C+I+G+ (X−M),
where Xdenotes exports and Mdenotes imports.
Step 2: Given the information, we can plug in the values into the formula:
GDP = 500 billion + 200 billion + 150 billion + (80 billion −60 billion).
Step 3: Calculate the value in the parentheses first:
80 billion −60 billion = 20 billion.
Step 4: Substitute back into the equation to find the GDP:
GDP = 500 billion + 200 billion + 150 billion + 20 billion = 870 billion.
Therefore, the Gross Domestic Product (GDP) of the country using the
expenditure approach is
$
870 billion.
Question 32
Question
Suppose a country has the following data for a given year:
Consumption expenditures:
$
800 billion
Investment expenditures:
$
300 billion
26
Government expenditures:
$
200 billion
Exports:
$
150 billion
Imports:
$
120 billion
Calculate the Gross Domestic Product (GDP) for this country for the given
year.
Solution
Step 1: We can calculate the GDP using the expenditure approach formula:
GDP =C+I+G+ (X−M)
where:
C= Consumption expenditures
I= Investment expenditures
G= Government expenditures
X= Exports
M= Imports
Step 2: Substitute the given values into the formula:
GDP = 800 + 300 + 200 + (150 −120)
= 800 + 300 + 200 + 30
= 1,300 billion
Therefore, the Gross Domestic Product (GDP) for the country for the given
year is
$
1,300 billion.
Question 33
Question
Suppose a country’s GDP is
$
5 trillion, consumption is
$
3 trillion, investment
is
$
1 trillion, government spending is
$
0.8 trillion, and net exports are -
$
0.2
trillion. Calculate the country’s GDP using the expenditure approach.
Solution
The GDP can be calculated using the expenditure approach, which is the sum
of consumption, investment, government spending, and net exports.
27
Step 1: Write down the given values.
GDP = $5 trillion
Consumption (C) = $3 trillion
Investment (I) = $1 trillion
Government Spending (G) = $0.8 trillion
Net Exports (NX) = −$0.2 trillion
Step 2: Substitute the given values into the formula for GDP.
GDP = C+I+G+NX
Step 3: Calculate GDP using the expenditure approach.
GDP = $3 trillion + $1 trillion + $0.8 trillion + (−$0.2 trillion)
= $4.6 trillion
Therefore, the country’s GDP using the expenditure approach is
$
4.6 trillion.
Question 34
Question
Calculate the Gross Domestic Product (GDP) using the expenditure approach
given the following information:
Consumption expenditure:
$
800 billion
Government expenditure:
$
200 billion
Gross private domestic investment:
$
300 billion
Exports:
$
100 billion
Imports:
$
50 billion
Solution
Step 1: Calculate Net Exports.
Net Exports = Exports −Imports
= $100 billion −$50 billion
= $50 billion
Step 2: Use the formula for GDP using the expenditure approach:
GDP = Consumption expenditure+Government expenditure+Gross private domestic investment+Net Exports
28
Step 3: Substitute the values into the formula and calculate GDP.
GDP = $800 billion + $200 billion + $300 billion + $50 billion
= $1350 billion
Therefore, the Gross Domestic Product (GDP) using the expenditure ap-
proach is
$
1350 billion.
Question 35
Question
Suppose the following data represents the quantities and prices of goods and
services produced in a country:
Item Quantity Produced Price per Item
Apples 100 units
$
1.50
Bananas 50 units
$
0.75
Oranges 75 units
$
2.00
Calculate the Gross Domestic Product (GDP) using the production ap-
proach.
Solution
Step 1: Calculate the total value of each item produced:
Apples: 100 ×$1.50 = $150
Bananas: 50 ×$0.75 = $37.50
Oranges: 75 ×$2.00 = $150
Step 2: Sum up the total value of all items produced to find the GDP:
GDP = $150 + $37.50 + $150 = $337.50
Therefore, the Gross Domestic Product (GDP) using the production ap-
proach is
$
337.50.
29
Question 2
Question
Suppose a country’s economy has the following data for a given year:
- Consumption expenditure:
$
500 billion - Investment expenditure:
$
200
billion - Government expenditure:
$
150 billion - Exports:
$
100 billion - Imports:
$
80 billion - Depreciation:
$
50 billion - Taxes:
$
120 billion - Subsidies:
$
30
billion
Calculate the Gross Domestic Product (GDP) of the country for the year.
Solution
Step 1: Calculate the Gross Domestic Product (GDP) using the expenditure
approach formula:
GDP = C+I+G+ (X−M)
where: - C= Consumption expenditure - I= Investment expenditure - G=
Government expenditure - X= Exports - M= Imports
Step 2: Calculate net exports (X−M):
X−M= 100 −80 = 20 billion
Step 3: Calculate GDP using the data given:
GDP = 500 + 200 + 150 + 20 = 870 billion
Therefore, the Gross Domestic Product (GDP) of the country for the year
is
$
870 billion.
Question 3
Question
Suppose a country’s GDP is calculated as follows:
Consumption expenditure:
$
500 billion
Investment expenditure:
$
200 billion
Government expenditure:
$
300 billion
Net exports:
$
50 billion
Calculate the country’s GDP using the expenditure approach.
2
Solution
To calculate the country’s GDP using the expenditure approach, we sum up the
total expenditures on final goods and services in the economy. The formula for
GDP using the expenditure approach is:
GDP =C+I+G+NX
where:
C= Consumption expenditure
I= Investment expenditure
G= Government expenditure
NX = Net exports (exports - imports)
Step 1: Substitute the given values into the formula.
GDP = 500 billion + 200 billion + 300 billion + 50 billion
Step 2: Calculate the GDP.
GDP = 500 billion + 200 billion + 300 billion + 50 billion
= 1050 billion
Therefore, the country’s GDP using the expenditure approach is
$
1050 bil-
lion.
Question 4
Question
Suppose an economy produces only apples and oranges. The following table
shows the quantities produced and their respective prices for the years 2020 and
2021:
Year Apples (quantity) Oranges (quantity)
2020 100 50
2021 120 60
Item Price per unit in 2020 (
$
) Price per unit in 2021 (
$
)
Apples 1 1.5
Oranges 2 3
Calculate the nominal GDP for 2020 and 2021.
3
Solution
Step 1: Calculate nominal GDP for the year 2020.
Nominal GDP2020 = (Quantity of Apples2020 ×Price per Apple2020) + (Quantity of Oranges2020 ×Price per Orange2020)
= (100 ×1) + (50 ×2)
= 100 + 100
= 200
Step 2: Calculate nominal GDP for the year 2021.
Nominal GDP2021 = (Quantity of Apples2021 ×Price per Apple2021) + (Quantity of Oranges2021 ×Price per Orange2021)
= (120 ×1.5) + (60 ×3)
= 180 + 180
= 360
Therefore, the nominal GDP for the year 2020 is
$
200 and for the year 2021
is
$
360.
Question 5
Question
Calculate the Gross Domestic Product (GDP) using the expenditure approach
given the following information:
Component Amount (
$
)
Consumption 5000
Investment 1000
Government spending 2000
Exports 1500
Imports 800
Solution
Step 1: Calculate GDP using the expenditure approach formula:
GDP =C+I+G+ (X−M)
where: - Cis consumption - Iis investment - Gis government spending - Xis
exports - Mis imports
Step 2: Substitute the given values into the formula:
GDP = 5000 + 1000 + 2000 + (1500 −800)
Step 3: Calculate the value of GDP:
GDP = 5000 + 1000 + 2000 + 700 = 8700
Therefore, the Gross Domestic Product (GDP) using the expenditure ap-
proach is
$
8700.
4
Question 6
Question
Suppose a country’s economy produces the following goods and services in a
year: - 10,000 units of wheat at a price of 4perunit−5,000unitsofcornatapriceof3
per unit - 1,000 units of clothing at a price of 50perunit−2,000unitsof computersatapriceof800
per unit
Calculate the country’s Gross Domestic Product (GDP) using the expendi-
ture approach.
Solution
Step 1: Calculate the total value of each type of goods and services produced. -
Wheat: 10,000×4 = 40,000 −Corn :5,000 ×3 = 15,000 −Clothing :1,000 ×50
= 50,000 −Computers :2,000 ×800 = 1,600,000
Step 2: Calculate the total GDP by summing up the values of all goods
and services produced. Total GDP = 40,000+15,000 + 50,000+1,600,000 =
1,705,000
Therefore, the country’s Gross Domestic Product (GDP) using the expen-
diture approach is 1,705,000.
Question 7
Question
Consider the following hypothetical economy with the following information:
Consumption:
$
500 billion
Government Spending:
$
200 billion
Investment:
$
300 billion
Exports:
$
100 billion
Imports:
$
50 billion
Calculate the Gross Domestic Product (GDP) for this economy.
Solution
To calculate the Gross Domestic Product (GDP), we can use the expenditure
approach formula:
GDP = Consumption + Investment + Government Spending + Net Exports
Where Net Exports is calculated as Exports minus Imports.
5
Step 1: Calculate Net Exports
Net Exports = Exports −Imports
= 100 billion −50 billion
= 50 billion
Step 2: Substitute the given values into the GDP formula
GDP = 500 billion + 300 billion + 200 billion + 50 billion
= 1050 billion
Therefore, the Gross Domestic Product (GDP) for this economy is
$
1050
billion.
Question 8
Question
The table below provides information on the components of GDP for a fictional
country in a given year:
Component Value (in billions of dollars)
Consumption 500
Investment 150
Government Spending 100
Exports 80
Imports 60
Given the data in the table, calculate the Gross Domestic Product (GDP)
for the fictional country in that year.
Solution
Step 1: Calculate GDP using the expenditure approach formula:
GDP = Consumption+Investment+Government Spending+(Exports−Imports)
Step 2: Substitute the given values into the formula:
GDP = 500 + 150 + 100 + (80 −60)
Step 3: Perform the calculations:
GDP = 750 + 20 = 770 billion dollars
Therefore, the Gross Domestic Product (GDP) for the fictional country in
that year is 770 billion dollars.
6
Question 9
Question
Suppose a country’s GDP is
$
10,000 million, its government purchases amount
to
$
2,500 million, its net exports are
$
500 million, its consumption is
$
6,000
million, and its gross private domestic investment is
$
2,000 million. Calculate
the country’s GDP using the expenditure approach.
Solution
Step 1: The expenditure approach to calculating GDP is given by the formula:
GDP =C+I+G+ (X−M)
where: - Cis consumption - Iis gross private domestic investment - Gis
government purchases - Xis exports - Mis imports
Given:
C= $6,000 million
I= $2,000 million
G= $2,500 million
X= $500 million
M=?
Step 2: To find M, we can use the fact that net exports (X−M) is given
as
$
500 million:
X−M= $500 million
500 −M= 500
−M= 0
M= 0
Step 3: Now that we have all the values, we can calculate the country’s
GDP:
GDP =C+I+G+ (X−M)
GDP = 6,000 + 2,000 + 2,500 + (500 −0)
GDP = 6,000 + 2,000 + 2,500 + 500
GDP = 11,000 million
Therefore, the country’s GDP using the expenditure approach is
$
11,000
million.
7
Question 10
Question
Calculate the Gross Domestic Product (GDP) using the expenditure approach
for an economy with the following information:
Consumption expenditure: 400 billion
Investment expenditure: 200 billion
Government expenditure: 150 billion
Exports: 50 billion
Imports: 30 billion
Solution
Step 1: Calculate Net Exports (NX)
NX = Exports −Imports
NX = 50 −30 = 20 billion
Step 2: Use the formula for GDP using the expenditure approach
GDP = Consumption expenditure+Investment expenditure+Government expenditure+Net Exports
GDP = 400 + 200 + 150 + 20 = 770 billion
Therefore, the Gross Domestic Product (GDP) for this economy is 770 bil-
lion.
Question 11
Question
Consider an economy with the following values for the components of GDP in
a given year:
Consumption expenditure:
$
800 billion
Investment:
$
200 billion
Government spending:
$
300 billion
Exports:
$
150 billion
Imports:
$
100 billion
Calculate the Gross Domestic Product (GDP) using the expenditure approach.
8
Solution
Step 1: The GDP using the expenditure approach is calculated as the sum of
Consumption Expenditure (C), Investment (I), Government Spending (G), and
Net Exports (NX).
GDP =C+I+G+NX
Step 2: Calculate Net Exports by subtracting Imports from Exports.
NX =Exports −Imports = $150 billion −$100 billion = $50 billion
Step 3: Now, substitute the given values into the GDP formula.
GDP = $800 billion + $200 billion + $300 billion + $50 billion = $1350 billion
Therefore, the Gross Domestic Product (GDP) of the economy is
$
1350
billion.
Question 12
Question
Suppose a country’s Gross Domestic Product (GDP) is given by the equation
Y=C+I+G+(X−M), where Yrepresents GDP, Crepresents consumption, I
represents investment, Grepresents government spending, Xrepresents exports,
and Mrepresents imports.
If the values of C,I,G,X, and Mare as follows: C= 500, I= 200,
G= 300, X= 150, and M= 100, calculate the GDP for this country.
Solution
Step 1: Substitute the given values into the GDP equation.
Y=C+I+G+ (X−M)
Y= 500 + 200 + 300 + (150 −100)
Step 2: Perform the arithmetic operations.
Y= 500 + 200 + 300 + 50
Y= 1000 + 50
Y= 1050
Therefore, the Gross Domestic Product (GDP) for this country is 1050.
9
Question 13
Question
Suppose a country’s economy can be broken down into three sectors: agriculture,
manufacturing, and services. The following table shows the value added at each
stage of production for the year 2020:
Sector Value Added (in billions)
Agriculture 50
Manufacturing 100
Services 200
Additionally, the country imported goods worth 30 billion and exported
goods worth 20 billion. Calculate the Gross Domestic Product (GDP) for this
country in 2020.
Solution
Step 1: Calculate GDP using the production approach
The GDP using the production approach can be calculated by summing up the
value added in each sector:
GDP = Value Added in Agriculture+Value Added in Manufacturing+Value Added in Services
GDP = 50 + 100 + 200 = 350 billion USD
Step 2: Adjust GDP for imports and exports
Since imports represent goods produced abroad and exports represent goods
produced domestically but sold abroad, we need to adjust the GDP for the net
exports:
Net Exports = Exports −Imports = 20 −30 = −10 billion USD
Step 3: Final calculation of GDP
The final GDP is calculated by adding the net exports to the GDP from the
production approach:
GDP = GDP from production approach+Net Exports = 350−10 = 340 billion USD
Therefore, the Gross Domestic Product (GDP) for this country in 2020 is
340 billion USD.
Question 14
Question
Suppose a country’s economy can be characterized by the following equations:
- Consumption function: C= 200 + 0.6Y- Investment function: I= 100 -
Government spending: G= 150 - Net exports: N X = 20 where Yrepresents the
country’s GDP. Calculate the country’s GDP using the expenditure approach.
10
Solution
Step 1: Calculate the total expenditure component of GDP
GDP =C+I+G+NX
Step 2: Substitute the given consumption function, investment, government
spending, and net exports values into the GDP formula
GDP = (200 + 0.6Y) + 100 + 150 + 20
Step 3: Simplify by combining like terms
GDP = 200 + 0.6Y+ 100 + 150 + 20
Step 4: Combine constants
GDP = 470 + 0.6Y
Step 5: Rewrite the equation in terms of GDP to solve for Y
GDP −470 = 0.6Y
Step 6: Divide by 0.6 to isolate Y
GDP −470
0.6=Y
Step 7: Calculate the country’s GDP
Y=GDP −470
0.6
Therefore, the country’s GDP is GDP −470
0.6.
Question 15
Question
Suppose a country’s economy can be represented by the following data:
Consumption expenditure:
$
500 billion
Investment expenditure:
$
200 billion
Government expenditure:
$
100 billion
Exports:
$
50 billion
Imports:
$
30 billion
Calculate the Gross Domestic Product (GDP) using the expenditure ap-
proach.
11
Solution
To calculate the Gross Domestic Product (GDP) using the expenditure ap-
proach, we sum up the consumption expenditure, investment expenditure, gov-
ernment expenditure, exports, and subtract imports.
Step 1: Calculate Total Expenditure
Total Expenditure = Consumption + Investment + Government + Exports −Imports
= $500 billion + $200 billion + $100 billion + $50 billion −$30 billion
= $820 billion
Therefore, the total expenditure is
$
820 billion.
Step 2: Gross Domestic Product (GDP) The Gross Domestic Product
(GDP) is equal to the total expenditure.
GDP = $820 billion
Therefore, the Gross Domestic Product (GDP) of the country is
$
820 billion.
Question 16
Question
Suppose a country’s economy can be represented by the following table, where
values are in billions of dollars:
Component Value Percentage of GDP
Consumption 500 50%
Investment 150 15%
Government Spending 100 10%
Exports 70 7%
Imports 60 6%
Statistical Discrepancy ? ?
If the country’s Gross Domestic Product (GDP) is 1000 billion dollars, cal-
culate the missing value of the statistical discrepancy.
Solution
Step 1: Calculate the value of exports and imports. Since exports are a part of
GDP while imports are subtracted from GDP:
Exports −Imports = Net exports
Substitute 70 billion dollars for exports and 60 billion dollars for imports:
70 −60 = 10
12
Therefore, the net exports are 10 billion dollars.
Step 2: Calculate the total value of all components except the statistical
discrepancy.
500 + 150 + 100 + 70 −60 = 760
Step 3: Calculate the missing value by subtracting the total value of all
components from the GDP.
1000 −760 = 240
Therefore, the missing value of the statistical discrepancy is 240 billion dol-
lars.
Question 17
Question
Calculate the Gross Domestic Product (GDP) using the expenditure approach
for a hypothetical country with the following data:
Component Amount (in billions)
Consumption 800
Investment 200
Government Spending 300
Exports 150
Imports 100
Solution
Step 1: Calculate Net Exports:
Net Exports = Exports −Imports
Net Exports = 150 −100 = 50 billion
Step 2: Apply the formula for GDP using the expenditure approach:
GDP = Consumption + Investment + Government Spending + Net Exports
GDP = 800 + 200 + 300 + 50 = 1350 billion
Therefore, the Gross Domestic Product (GDP) for the country is 1350 billion.
Question 18
Question
Consider a hypothetical economy with the following data:
13
Consumption:
$
600 billion
Investment:
$
200 billion
Government spending:
$
150 billion
Exports:
$
100 billion
Imports:
$
120 billion
Calculate the Gross Domestic Product (GDP) of this economy.
Solution
Step 1: Calculate Net Exports
Net Exports = Exports −Imports = $100 billion −$120 billion = −$20 billion
Step 2: Calculate GDP using the Expenditure approach
GDP = Consumption + Investment + Government Spending + Net Exports
GDP = $600 billion + $200 billion + $150 billion + (−$20 billion)
GDP = $930 billion
Therefore, the Gross Domestic Product (GDP) of this economy is
$
930 bil-
lion.
Question 19
Question
Let’s consider a hypothetical country with the following data on nominal GDP,
real GDP, and the GDP deflator for the years 2020 and 2021:
Year Nominal GDP (in billions) Real GDP (in billions) GDP Deflator
2020 200 160 125
2021 240 180 133
Determine the inflation rate from 2020 to 2021 using the GDP deflator
method.
14
Solution
Step 1: Calculate the inflation rate using the GDP deflator formula:
Inflation Rate = GDP Deflator2021 −GDP Deflator2020
GDP Deflator2020 ×100
Step 2: Substitute the given values into the equation to find the inflation
rate:
Inflation Rate = 133 −125
125 ×100 = 8
125×100 ≈6.4%
Therefore, the inflation rate from 2020 to 2021 using the GDP deflator
method is approximately 6.4
Question 20
Question
Suppose an economy produces only apples and oranges. The quantity produced
and the price per unit for each good in two consecutive years are as follows:
Year Apples Produced Price per Apple (
$
) Oranges Produced
Year 1 100 1.50 200
Year 2 120 1.75 190
Calculate the nominal GDP for both years using the current year as the base
year.
Solution
Step 1: Calculate the nominal GDP for Year 1.
Nominal GDPYear 1 = QuantityYear 1 ×PriceYear 1
= (100 ×1.50) + (200 ×1.50)
= 150 + 300
= $450
Step 2: Calculate the nominal GDP for Year 2.
Nominal GDPYear 2 = QuantityYear 2 ×PriceYear 2
= (120 ×1.75) + (190 ×1.75)
= 210 + 332.5
= $542.5
15
Question 21
Question
Suppose a country’s GDP is determined using the income approach. The fol-
lowing information is provided:
Wages and salaries:
$
500 billion
Rental income:
$
50 billion
Corporate profits:
$
200 billion
Interest income:
$
100 billion
Taxes on production and imports:
$
150 billion
Government subsidies:
$
25 billion
Depreciation:
$
75 billion
Net foreign factor income earned domestically:
$
20 billion
Calculate the GDP of the country using the income approach.
Solution
Step 1: Calculate Net Domestic Income at Factor Cost (NDI)
NDI = Wages and salaries+Rental income+Corporate profits+Interest income−Taxes on production and imports+Government subsidies+Net foreign factor income earned domestically
NDI = 500 + 50 + 200 + 100 −150 + 25 + 20
NDI = 745
Step 2: Adjust NDI for Depreciation
GDP =NDI + Depreciation
GDP = 745 + 75
GDP = 820
Therefore, the GDP of the country using the income approach is
$
820 billion.
16
Question 22
Question
Suppose a country has the following data on nominal GDP, real GDP, and the
GDP deflator for two consecutive years:
Year 1:
–Nominal GDP =
$
12.5 trillion
–Real GDP =
$
10.8 trillion
–GDP deflator = 1.157
Year 2:
–Nominal GDP =
$
14.2 trillion
–Real GDP =
$
11.6 trillion
–GDP deflator = 1.224
Calculate the percentage change in real GDP between Year 1 and Year 2.
Solution
Step 1: Calculate the GDP growth rates for Years 1 and 2 using the GDP
deflator formula:
GDP growth rate = Nominal GDP growth rate
Real GDP growth rate
For Year 1:
GDP growth rate (Year 1) = 1.157
1= 1.157
For Year 2:
GDP growth rate (Year 2) = 1.224
1= 1.224
Step 2: Calculate the percentage change in real GDP:
Percentage change in real GDP = (GDP growth rate (Year 2)−GDP growth rate (Year 1))×100%
= (1.224 −1.157) ×100%
= 0.067 ×100%
= 6.7%
Therefore, the percentage change in real GDP between Year 1 and Year 2 is
6.7%.
17
Question 23
Question
Assume a country’s economy produces only three goods: cars, computers, and
books. The following table shows the quantities produced and their respective
prices in two consecutive years:
Good Quantity Produced (Year 1) Price (Year 1) Quantity Produced (Year 2) Price (Year 2)
Cars 100 $20,000 120 $22,000
Computers 200 $2,000 180 $2,200
Books 500 $50 600 $60
Using the information provided in the table, calculate the GDP deflator for
Year 2 relative to Year 1, and interpret the result in the context of inflation or
deflation.
Solution
Step 1: Calculate the nominal GDP for each year. To calculate the nominal
GDP, we multiply the quantity produced by the price of each good and sum the
values. For Year 1:
Nominal GDPYear 1 = (100 ×$20,000) + (200 ×$2,000) + (500 ×$50)
= $2,000,000 + $400,000 + $25,000
= $2,425,000
For Year 2:
Nominal GDPYear 2 = (120 ×$22,000) + (180 ×$2,200) + (600 ×$60)
= $2,640,000 + $396,000 + $36,000
= $3,072,000
Step 2: Calculate the real GDP for each year. To calculate the real GDP, we
use the prices from Year 1 as the base year and multiply the quantity produced
by these prices, then sum the values. For Year 1:
Real GDPYear 1 = (100 ×$20,000) + (200 ×$2,000) + (500 ×$50)
= $2,425,000
For Year 2:
Real GDPYear 2 = (120 ×$20,000) + (180 ×$2,000) + (600 ×$50)
= $2,400,000 + $360,000 + $30,000
18
= $2,790,000
Step 3: Calculate the GDP deflator. GDP Deflator = Nominal GDP
Real GDP ×100
For Year 1:
GDP DeflatorY ear1=$2,425,000
$2,425,000×100 = 100
For Year 2:
GDP DeflatorY ear2=$3,072,000
$2,790,000×100 ≈110
Step 4: Interpretation With a GDP deflator of approximately 110 for Year
2 relative to Year 1, we can conclude that there has been inflation. This means
that on average, prices of goods and services in the economy have increased by
about 10
Question 24
Question
Calculate the Gross Domestic Product (GDP) using the expenditure approach
based on the following information:
Consumption expenditure:
$
2,500
Investment expenditure:
$
1,000
Government expenditure:
$
800
Net exports:
$
300
Solution
Step 1: Calculate the total expenditure.
Total expenditure = Consumption + Investment + Government + Net exports
Step 2: Substitute the given values into the formula.
Total expenditure = 2,500 + 1,000 + 800 + 300
Total expenditure = 4,600
Step 3: Calculate the Gross Domestic Product (GDP).
GDP = Total expenditure
Step 4: Substitute the total expenditure into the GDP formula.
GDP = 4,600
Therefore, the Gross Domestic Product (GDP) calculated using the expen-
diture approach is
$
4,600.
19
Question 25
Question
Assume a simple economy consists of three sectors: agriculture, manufacturing,
and services. The following table shows the nominal GDP (in billions of dollars)
and the price index for each sector for the year 2020 and 2021:
Sector Nominal GDP 2020 (in billions) Price Index 2020 Nominal GDP 2021 (in billions)
Price Index 2021
Agriculture 300 120 350
130
Manufacturing 500 150 550
160
Services 400 100 420
110
Calculate the real GDP for each sector in 2021 using the chain-weighted
GDP price index method (base year 2020).
Solution
Step 1: Calculate the real GDP for each sector in 2020:
Real GDP Agriculture 2020 = Nominal GDP Agriculture 2020
Price Index 2020 ×100
=300
120 ×100
= 250 billion dollars
Real GDP Manufacturing 2020 = Nominal GDP Manufacturing 2020
Price Index 2020 ×100
=500
150 ×100
= 333.33 billion dollars
Real GDP Services 2020 = Nominal GDP Services 2020
Price Index 2020 ×100
=400
100 ×100
= 400 billion dollars
20
Step 2: Calculate the real GDP for each sector in 2021:
Real GDP Agriculture 2021 = Nominal GDP Agriculture 2021
Price Index 2020 ×100
=350
120 ×100
≈291.67 billion dollars
Real GDP Manufacturing 2021 = Nominal GDP Manufacturing 2021
Price Index 2020 ×100
=550
150 ×100
≈366.67 billion dollars
Real GDP Services 2021 = Nominal GDP Services 2021
Price Index 2020 ×100
=420
100 ×100
= 420 billion dollars
Question 26
Question
Suppose a country’s economy can be described by the following table:
Category Spending (in billions) Income (in billions)
Consumption 600 750
Investment 150 175
Government Spending 200 200
Exports 100 −
Imports −80
Calculate the country’s Gross Domestic Product (GDP) using the expendi-
ture approach and the income approach. Assume there are no indirect taxes or
subsidies.
Solution
Expenditure Approach:
GDP = Consumption + Investment + Government Spending + (Exports
- Imports)
21
Plugging in the values from the table, we get:
GDP = 600 + 150 + 200 + (100 - 80)
GDP = 600 + 150 + 200 + 20
GDP = 970 billion
Income Approach:
GDP = Compensation of Employees + Gross Operating Surplus + Gross
Mixed Income + Taxes on Production and Imports - Subsidies
For simplicity, we’ll assume all income is in the form of wages (compen-
sation of employees) and profits (gross operating surplus and gross mixed
income).
Thus, Income = Wages (Consumption) + Profits (Investment) = 750 +
175 = 925
GDP = 925 billion
Question 27
Question
Suppose a country’s economy is composed of three sectors with the following
information:
Sector A produces
$
500,000 worth of goods and services
Sector B contributes
$
300,000 in intermediate goods and services
Sector C employs
$
150,000 in goods and services
Non-residents produce
$
50,000 worth of goods and services within the
country
Calculate the Gross Domestic Product (GDP) using the expenditure ap-
proach.
Solution
To calculate the Gross Domestic Product (GDP) using the expenditure ap-
proach, we sum up the expenditures on final goods and services produced within
the country. The formula is:
GDP = C+I+G+ (X−M)
Where:
22
C= Household consumption
I= Business investment
G= Government spending
X= Exports
M= Imports
In this case, we are given the information for different sectors. We need to
properly categorize them into the expenditure components.
Step 1: Calculate Household Consumption (C)
C= Sector A goods and services = $500,000
Step 2: Calculate Business Investment (I)
I= Sector C goods and services = $150,000
Step 3: Calculate Government Spending (G)
G= 0 (not given)
Step 4: Calculate Exports (X)
X= 0 (not given)
Step 5: Calculate Imports (M)
M= Intermediate goods and services from Sector B+Non-resident goods and services = $300,000+$50,000 = $350,000
Step 6: Calculate GDP
GDP = C+I+G+(X−M) = $500,000+$150,000+0+(0−$350,000) = $300,000
Therefore, the Gross Domestic Product (GDP) using the expenditure ap-
proach is
$
300,000.
Question 28
Question
Calculate the Gross Domestic Product (GDP) using the following information:
Consumption expenditure:
$
800 billion
Investment expenditure:
$
200 billion
Government expenditure:
$
300 billion
Net exports:
$
50 billion (exports - imports)
23
Solution
Step 1: Calculate the components of GDP.
Consumption expenditure:
$
800 billion
Investment expenditure:
$
200 billion
Government expenditure:
$
300 billion
Net exports:
$
50 billion
Step 2: Calculate the Gross Domestic Product (GDP) using the formula:
GDP =C+I+G+ (X−M)
Where:
C= Consumption expenditure
I= Investment expenditure
G= Government expenditure
X= Exports
M= Imports
Substitute the given values into the formula:
GDP = 800 + 200 + 300 + (50)
= 800 + 200 + 300 + 50
= 1350 billion
Therefore, the Gross Domestic Product (GDP) is
$
1350 billion.
Question 29
Question
Calculate the Gross Domestic Product (GDP) using the expenditure approach
for a country with the following data:
Category Amount (in billions)
Consumption 600
Investment 200
Government Spending 150
Exports 100
Imports 80
24
Solution
Step 1: To calculate GDP using the expenditure approach, we use the formula:
GDP =C+I+G+ (X−M)
where: - Cis consumption - Iis investment - Gis government spending - Xis
exports - Mis imports
Step 2: Substitute the given values into the formula:
GDP = 600 + 200 + 150 + (100 −80)
Step 3: Perform the calculations:
GDP = 600 + 200 + 150 + 20
Step 4: Calculate the final GDP:
GDP = 970 billion
Therefore, the Gross Domestic Product (GDP) of the country using the
expenditure approach is 970 billion.
Question 30
Question
Consider the following hypothetical economy: - Consumption:
$
500 billion -
Investment:
$
200 billion - Government spending:
$
150 billion - Exports:
$
100
billion - Imports:
$
80 billion
Calculate the Gross Domestic Product (GDP) of this economy using the
expenditure approach.
Solution
Step 1: The formula for calculating GDP using the expenditure approach is:
GDP =C+I+G+ (X−M)
where: - C is consumption - I is investment - G is government spending - X is
exports - M is imports
Step 2: Substitute the given values into the formula:
GDP = 500 + 200 + 150 + (100 −80)
Step 3: Perform the calculations:
GDP = 500 + 200 + 150 + 20
GDP = 850 + 20
GDP = 870 billion dollars
Therefore, the Gross Domestic Product (GDP) of this economy is
$
870 bil-
lion.
25
Question 31
Question
Suppose a country’s economy can be represented by the following information:
Consumption Expenditure:
$
500 billion
Investment Expenditure:
$
200 billion
Government Spending:
$
150 billion
Exports:
$
80 billion
Imports:
$
60 billion
Calculate the Gross Domestic Product (GDP) using the expenditure approach.
Solution
Step 1: The GDP using the expenditure approach is calculated by summing up
the components of expenditure: Consumption Expenditure (C), Investment Ex-
penditure (I), Government Spending (G), and Net Exports (NX). The formula
is given by
GDP =C+I+G+ (X−M),
where Xdenotes exports and Mdenotes imports.
Step 2: Given the information, we can plug in the values into the formula:
GDP = 500 billion + 200 billion + 150 billion + (80 billion −60 billion).
Step 3: Calculate the value in the parentheses first:
80 billion −60 billion = 20 billion.
Step 4: Substitute back into the equation to find the GDP:
GDP = 500 billion + 200 billion + 150 billion + 20 billion = 870 billion.
Therefore, the Gross Domestic Product (GDP) of the country using the
expenditure approach is
$
870 billion.
Question 32
Question
Suppose a country has the following data for a given year:
Consumption expenditures:
$
800 billion
Investment expenditures:
$
300 billion
26
Government expenditures:
$
200 billion
Exports:
$
150 billion
Imports:
$
120 billion
Calculate the Gross Domestic Product (GDP) for this country for the given
year.
Solution
Step 1: We can calculate the GDP using the expenditure approach formula:
GDP =C+I+G+ (X−M)
where:
C= Consumption expenditures
I= Investment expenditures
G= Government expenditures
X= Exports
M= Imports
Step 2: Substitute the given values into the formula:
GDP = 800 + 300 + 200 + (150 −120)
= 800 + 300 + 200 + 30
= 1,300 billion
Therefore, the Gross Domestic Product (GDP) for the country for the given
year is
$
1,300 billion.
Question 33
Question
Suppose a country’s GDP is
$
5 trillion, consumption is
$
3 trillion, investment
is
$
1 trillion, government spending is
$
0.8 trillion, and net exports are -
$
0.2
trillion. Calculate the country’s GDP using the expenditure approach.
Solution
The GDP can be calculated using the expenditure approach, which is the sum
of consumption, investment, government spending, and net exports.
27
Step 1: Write down the given values.
GDP = $5 trillion
Consumption (C) = $3 trillion
Investment (I) = $1 trillion
Government Spending (G) = $0.8 trillion
Net Exports (NX) = −$0.2 trillion
Step 2: Substitute the given values into the formula for GDP.
GDP = C+I+G+NX
Step 3: Calculate GDP using the expenditure approach.
GDP = $3 trillion + $1 trillion + $0.8 trillion + (−$0.2 trillion)
= $4.6 trillion
Therefore, the country’s GDP using the expenditure approach is
$
4.6 trillion.
Question 34
Question
Calculate the Gross Domestic Product (GDP) using the expenditure approach
given the following information:
Consumption expenditure:
$
800 billion
Government expenditure:
$
200 billion
Gross private domestic investment:
$
300 billion
Exports:
$
100 billion
Imports:
$
50 billion
Solution
Step 1: Calculate Net Exports.
Net Exports = Exports −Imports
= $100 billion −$50 billion
= $50 billion
Step 2: Use the formula for GDP using the expenditure approach:
GDP = Consumption expenditure+Government expenditure+Gross private domestic investment+Net Exports
28
Step 3: Substitute the values into the formula and calculate GDP.
GDP = $800 billion + $200 billion + $300 billion + $50 billion
= $1350 billion
Therefore, the Gross Domestic Product (GDP) using the expenditure ap-
proach is
$
1350 billion.
Question 35
Question
Suppose the following data represents the quantities and prices of goods and
services produced in a country:
Item Quantity Produced Price per Item
Apples 100 units
$
1.50
Bananas 50 units
$
0.75
Oranges 75 units
$
2.00
Calculate the Gross Domestic Product (GDP) using the production ap-
proach.
Solution
Step 1: Calculate the total value of each item produced:
Apples: 100 ×$1.50 = $150
Bananas: 50 ×$0.75 = $37.50
Oranges: 75 ×$2.00 = $150
Step 2: Sum up the total value of all items produced to find the GDP:
GDP = $150 + $37.50 + $150 = $337.50
Therefore, the Gross Domestic Product (GDP) using the production ap-
proach is
$
337.50.
29
