ECON 350 - CLASSICAL ECONOMICS Measurement of economic variables Set 2

ECON 350 - CLASSICAL

ECONOMICS - Measurement of

economic variables

Question Bank - Set 2

Liberty University

Question 1

Question

Explain the difference between nominal GDP and real GDP. Why is real GDP

considered a more accurate measure of an economy’s economic performance?

Solution

Step 1: Nominal GDP is the total value of goods and services produced in an

economy in a given period, measured at current market prices. Real GDP, on

the other hand, is adjusted for inflation and reflects the total value of goods and

services produced in an economy in a given period, with prices held constant

from a base year.

Step 2: Real GDP is considered a more accurate measure of an economy’s

economic performance because it accounts for changes in prices over time. By

adjusting for inflation, real GDP removes the impact of price changes, allowing

for a more accurate comparison of economic output across different time periods.

Step 3: Nominal GDP can be misleading as it may increase simply due to

rising prices rather than an actual increase in the quantity of goods and services

produced. On the other hand, real GDP provides a more accurate picture of

an economy’s actual production levels and economic growth by eliminating the

effects of inflation.

Step 4: Economists and policymakers often use real GDP to track an econ-

omy’s long-term growth and performance, as it captures changes in output while

holding prices constant. This allows for better analysis of trends in production,

standard of living, and overall economic well-being.

Step 5: In summary, real GDP is considered a more accurate measure

of an economy’s economic performance compared to nominal GDP because it

adjusts for changes in prices, providing a clearer picture of the true growth and

productivity of an economy.

Question 2

Question

Assume you are an economist studying the economy of a country. You are given

the following information about the economy:

- Gross Domestic Product (GDP) = 500billion −Consumption =300 billion

- Investment = 100billion −Governmentspending =50 billion - Exports =

80billion −Imports =70 billion

Calculate the following economic variables: a) Net exports b) Aggregate

expenditure c) Aggregate income d) Disposable income

Solution

a) To calculate Net exports, we use the formula: Net exports = Exports -

Imports.

Net exports = $80 billion −$70 billion = $10 billion

b) To calculate Aggregate expenditure, we use the formula: Aggregate ex-

penditure = Consumption + Investment + Government spending + Net exports.

Aggregate expenditure = $300 billion+$100 billion+$50 billion+$10 billion = $460 billion

c) Aggregate income is the same as GDP in a closed economy. Therefore,

Aggregate income in this case is 500billion.

d) To calculate Disposable income, we use the formula: Disposable income

= Aggregate income - Taxes + Transfers. Since we do not have information

about taxes and transfers, we cannot calculate Disposable income without this

information.

Question 3

Question

Suppose a country’s GDP is

10 trillion, its government spending is

2 trillion,

and its net exports are

500 billion. If the consumption function is given by

C= 0.8Y−500, where Yis the country’s income, calculate the country’s

equilibrium income.

Solution

Step 1: First, we need to calculate the country’s equilibrium income by using

the formula:

Y=C+I+G+NX

where I,G, and NX represent investment, government spending, and net ex-

ports, respectively.

Step 2: We can substitute the given values to the equation:

Y= (0.8Y−500) + I+ 2 + 0.5

Y= 0.8Y−498.5

Step 3: Rearrange the equation to solve for Y:

0.2Y= 498.5

Y=498.5

0.2

Y= 2492.5

Step 4: Therefore, the country’s equilibrium income is

2.4925 trillion.

Question 4

Question

Suppose a country’s GDP is

1,200 billion, its consumption is

800 billion, its

investment is

300 billion, and its government spending is

200 billion. Calculate

the country’s net exports.

Solution

Step 1: Recall the formula for GDP:

GDP =C+I+G+NX

where: - Cis consumption, - Iis investment, - Gis government spending, and

-NX is net exports.

Step 2: Substitute the given values into the formula:

1,200 = 800 + 300 + 200 + NX

Step 3: Solve for NX:

1,200 = 1,300 + NX

NX = 1,200 −1,300

NX =−100

Step 4: Interpretation: A negative net export value (-

100 billion) indicates

that the country is a net importer of goods and services, meaning that its

imports exceed its exports.

Question 5

Question

Suppose an economy can produce two goods, X and Y. The production possi-

bilities frontier (PPF) for this economy is concave to the origin. Describe the

implications of this shape for the opportunity cost of producing each good.

Solution

To describe the implications of the concave shape of the PPF for the opportunity

cost of producing each good, we need to understand the concept of opportunity

cost.

Step 1: Definition of Opportunity Cost Opportunity cost is the value

of the next best alternative foregone when a choice is made.

Step 2: Implications of Concave PPF If the PPF is concave to the ori-

gin, it means that the opportunity cost of producing each good is not constant.

Step 3: Implications for the Opportunity Cost 1. Decreasing Opportunity Cost:

Initially, the economy will reallocate resources from the production of one good

to the other. As more resources are shifted, the opportunity cost of producing

the additional units of the second good will decrease. This is due to the principle

of comparative advantage and specialization.

2. Increasing Opportunity Cost: However, as the economy continues to spe-

cialize in the production of one good, the opportunity cost of producing addi-

tional units of the second good will start to increase. This is because resources

are not equally efficient in producing both goods.

Step 4: Summary In summary, the concave shape of the PPF implies that

the opportunity cost of producing each good is dynamic and changes as the

economy adjusts its production levels. Initially, there is decreasing opportunity

cost as resources are reallocated, but eventually, increasing opportunity cost

sets in as the economy reaches its production limits.

Question 6

Question

Suppose a country’s GDP is

800 billion, its consumption is

600 billion, its

investment is

150 billion, and its government spending is

100 billion. Calcu-

late the country’s net exports and explain its significance in the context of the

country’s economic performance.

Solution

Step 1: To calculate the country’s net exports, we use the formula:

Net Exports = Exports −Imports

Step 2: The country’s GDP can be expressed as the sum of its components:

GDP = Consumption + Investment + Government Spending + Net Exports

Step 3: Substituting the given values into the GDP equation, we have:

800 = 600 + 150 + 100 + Net Exports

Step 4: Solving for net exports:

Net Exports = 800 −600 −150 −100

Net Exports = 50 billion

Step 5: Significance of Net Exports: Net exports represent the difference

between a country’s exports and imports of goods and services. A positive value

indicates that the country is a net exporter, while a negative value indicates that

it is a net importer.

In the context of the country’s economic performance, a positive net exports

value of

50 billion suggests that the country is exporting more than it is im-

porting. This can be a sign of a healthy economy as it indicates competitiveness

in international markets and the ability to generate income from exports. Ad-

ditionally, a positive net exports value contributes positively to the country’s

GDP, enhancing economic growth and stability.

Question 7

Question

Suppose that a country’s GDP is

1 trillion, its consumption is

600 billion, its

investment is

200 billion, its government spending is

150 billion, and its net

exports is

50 billion. Calculate the country’s savings and its current account

balance.

Solution

Step 1: Calculate the country’s savings.

Savings = Income −Consumption

= GDP −Consumption

= $1 trillion −$600 billion

= $400 billion

Step 2: Calculate the country’s current account balance.

Current Account Balance = Exports −Imports

= Net Exports

= $50 billion

Therefore, the country’s savings are

400 billion and its current account

balance is

50 billion.

Question 8

Question

Suppose the nominal GDP of a country increased from

500 billion to

600

billion over a year, while the GDP deflator increased from 1.2 to 1.5. Calculate

the percentage increase in real GDP.

Solution

Step 1: Calculate the initial real GDP using the initial nominal GDP and GDP

deflator.

Real GDP1=Nominal GDP1

GDP Deflator1

Real GDP1=$500 billion

1.2= $416.67 billion

Step 2: Calculate the final real GDP using the final nominal GDP and GDP

deflator.

Real GDP2=Nominal GDP2

GDP Deflator2

Real GDP2=$600 billion

1.5= $400 billion

Step 3: Calculate the percentage increase in real GDP.

Percentage Increase = Real GDP2−Real GDP1

Real GDP1×100%

Percentage Increase = $400 billion −$416.67 billion

$416.67 billion ×100% = −16.67

416.67 ×100% = −4%

Therefore, the real GDP decreased by 4

Question 9

Question

Suppose a government is considering implementing a new policy to increase

economic growth. The policy is expected to lead to a decrease in unemployment

rate by 2

Solution

To analyze the potential trade-offs of the government policy in terms of mea-

suring economic welfare, we need to consider the impacts of changes in unem-

ployment rate, GDP growth rate, and inflation rate on different aspects of the

economy.

Step 1: Unemployment Rate Decrease - A decrease in the unemploy-

ment rate by 2- This can lead to higher overall productivity and potentially

higher aggregate demand in the economy. - However, if the decrease in un-

employment is due to an increase in part-time or low-wage jobs, it may not

significantly improve the overall welfare of individuals.

Step 2: GDP Growth Rate Increase - An increase in GDP growth rate

by 1.5- This can lead to higher income levels, improved standard of living, and

greater economic well-being for individuals. - However, if the growth is driven

by unsustainable practices or unequal distribution of wealth, it may not benefit

all segments of the population equally.

Step 3: Inflation Rate Increase - An increase in the inflation rate by

1- While moderate inflation is a sign of a growing economy, high inflation can

erode purchasing power and reduce the real value of savings. - Individuals on

fixed incomes or with limited resources may be disproportionately affected by

higher inflation rates.

Step 4: Trade-offs - The policy’s impact on economic welfare depends on

how the changes in unemployment rate, GDP growth rate, and inflation rate

interact with each other. - While lower unemployment and higher GDP growth

are generally positive indicators, the potential negative effects of higher inflation

must also be considered. - Trade-offs may arise between short-term economic

gains and long-term sustainability, as well as between different segments of the

population that may be differently affected by the policy changes.

Question 10

Question

Suppose a country’s GDP is

500 billion, its consumption expenditure is

300

billion, its investment spending is

100 billion, and its government expenditure

80 billion. Calculate the country’s net exports.

Solution

Step 1: Recall that the GDP equation is given by:

GDP = Consumption + Investment + Government + Net Exports

Step 2: Substitute the given values into the GDP equation:

500 billion = 300 billion + 100 billion + 80 billion + Net Exports

Step 3: Calculate the total expenditure from consumption, investment, and

government spending:

480 billion = 300 billion + 100 billion + 80 billion

Step 4: Find the value of net exports:

Net Exports = 500 billion −480 billion

Step 5: Simplify the expression to find the net exports:

Net Exports = 20 billion

Therefore, the country’s net exports are

20 billion.

Question 11

Question

Suppose a country’s Gross Domestic Product (GDP) in 2019 was

10 trillion and

its GDP deflator was 120. If the GDP deflator increased to 130 in 2020, what

would be the country’s nominal GDP in 2020 if real GDP remained constant?

Solution

Step 1: Calculate the real GDP in 2020 using the base year 2019 GDP deflator.

Real GDP2020 =Nominal GDP2020

GDP Deflator2020

Real GDP2020 =Nominal GDP2019

GDP Deflator2020

Real GDP2020 =$10 trillion

130 = $76.92 trillion

Step 2: Calculate the nominal GDP in 2020 using the real GDP in 2020 and

the new GDP deflator for 2020.

Nominal GDP2020 = Real GDP2020 ×GDP Deflator2020

Nominal GDP2020 = $76.92 trillion ×130 = $1000.4 trillion

Therefore, the country’s nominal GDP in 2020 would be

1000.4 trillion if

real GDP remained constant.

Question 12

Question

Suppose a country’s GDP is

1.5 trillion, its population is 300 million, the

number of unemployed individuals is 15 million, and the average income of

the population is

50,000. Calculate the following economic indicators for this

country:

1. GDP per capita

2. Unemployment rate

3. Average income per employed individual

Solution

1. To calculate GDP per capita, we divide the total GDP by the population.

GDP per capita = GDP

Population

Step 1:

Substitute the given values into the formula:

GDP per capita = 1.5 trillion

300 million

Step 2:

Converting trillion to billion (1 trillion = 1000 billion) and million to billion:

GDP per capita = 1.5×1000

300 = 5 billion

Therefore, the GDP per capita for this country is

5 billion.

2. To calculate the unemployment rate, we divide the number of unemployed

individuals by the total labor force (employed + unemployed) and multiply by

100%.

Unemployment rate (%) = Unemployed individuals

Employed individuals + Unemployed individuals×100%

Step 1:

Calculate the total labor force:

Labor force = Employed individuals + Unemployed individuals = 300 million

Step 2:

Substitute the given values into the formula:

Unemployment rate (%) = 15 million

300 million×100% = 1

20 ×100% = 5%

Therefore, the unemployment rate in this country is 5%.

3. To calculate the average income per employed individual, we divide the

total income by the number of employed individuals.

Average income per employed individual = Total income

Number of employed individuals

Step 1:

Calculate the total income:

Total income = GDP −(Unemployed individuals ×Average income)

Step 2:

Substitute the given values into the equation:

Total income = 1.5 trillion−(15 million×50,000) = 1.5 trillion−0.75 trillion = 0.75 trillion

Step 3:

Calculate the average income per employed individual:

Average income per employed individual = 0.75 trillion

300 million −15 million =0.75 ×1000

285 ≈2631.58

Therefore, the average income per employed individual in this country is

approximately

2,631.58.

Question 13

Question

A country’s gross domestic product (GDP) for the year was reported as

10,000

million. During the same year, the government expenditure was

2,000 mil-

lion, private consumption was

5,000 million, exports were

1,500 million, and

imports were

1,200 million. Calculate the country’s net exports for the year.

Solution

Step 1: Calculate the sum of all expenditure components to find GDP. Step 2:

Use the formula for GDP to find net exports.

Step 1: Calculate GDP

GDP = Government expenditure + Private consumption + Exports −Imports

GDP = 2000 + 5000 + 1500 −1200

GDP = 7300 million

Step 2: Calculate Net Exports

Net Exports =Exports −Imports

Net Exports = 1500 −1200

Net Exports = 300 million

Therefore, the country’s net exports for the year were

300 million.

Question 14

Question

Suppose a country’s nominal GDP for the year is 20 trillion dollars and the

GDP deflator is 120. If the population of the country is 100 million, calculate

the real GDP per capita.

Solution

Step 1: Calculate the real GDP using the GDP deflator formula.

Given: Nominal GDP = 20 trillion dollars GDP deflator = 120

The formula for calculating real GDP is:

Real GDP = Nominal GDP

GDP deflator

Substitute the given values into the formula:

Real GDP = 20 trillion

120 = 0.1667 trillion dollars

Step 2: Calculate the real GDP per capita.

Given: Real GDP = 0.1667 trillion dollars Population = 100 million

The formula for calculating real GDP per capita is:

Real GDP per capita = Real GDP

Population

Convert the population to trillion:

Real GDP per capita = 0.1667 trillion

100 million = 0.001667 trillion dollars per person

Step 3: Convert the real GDP per capita to billion dollars.

0.001667 trillion dollars = 0.001667 ×1000 = 1.667 billion dollars per person

Therefore, the real GDP per capita is 1.667 billion dollars.

Question 15

Question

In an economy, the following information is available for a given year: Gross

Domestic Product (GDP) =

10 trillion, Government Expenditure =

2 tril-

lion, Consumption =

7 trillion, and Net Exports =

1 trillion. Calculate the

Investment component of GDP for this economy.

Solution

Step 1: The GDP can be calculated using the equation: GDP = Consumption

+ Government Expenditure + Investment + Net Exports.

Step 2: Substituting the given values into the equation, we have:

10 trillion = 7 trillion + 2 trillion + Investment + 1 trillion

Step 3: Simplifying the equation, we get:

Investment = 10 trillion −7 trillion −2 trillion −1 trillion

Step 4: Calculating the Investment component of GDP:

Investment = $10 trillion −$7 trillion −$2 trillion −$1 trillion

Investment = $0 trillion

Step 5: Therefore, the Investment component of GDP for this economy is

0 trillion.

Question 16

Question

Assume that the Gross Domestic Product (GDP) for a country is calculated

using the production approach. Given the following information about a hypo-

thetical economy for a year:



Value of final goods and services produced: 11,000 million



Value of intermediate goods: 2,000 million



Subsidies on production: 500 million



Taxes on production: 750 million



Depreciation of capital goods: 1,500 million

Calculate the Gross Value Added (GVA) for this economy.

Solution

Step 1: Calculate the Net Domestic Product at Factor Cost (NDPFC).

NDP F C =GDP −Depreciation

= 11,000 −1,500

= 9,500 million

Step 2: Calculate the Gross Value Added (GVA).

GV A =NDP F C −Subsidies +T axes

= 9,500 −500 + 750

= 9,250 million

Therefore, the Gross Value Added (GVA) for the economy is 9,250 million.

Question 17

Question

Suppose a country’s gross domestic product (GDP) increased by 5

Solution

Let GDP0be the initial GDP and P0be the initial population. Let GDPfbe the

final GDP and Pfbe the final population. We know that GDPf= 1.05×GDP0

and Pf= 1.03 ×P0

The per capita GDP is calculated as GDP percapita =GDP

P opulation . We will

calculate the growth rate of per capita GDP using the given information.

Step 1: Calculate the initial GDP per capita The initial GDP per

capita is given by:

GDP percapita0=GDP0

Step 2: Calculate the final GDP per capita The final GDP per capita

is given by:

GDP per capitaf=GDPf

=1.05 ×GDP0

1.03 ×P0

Step 3: Calculate the growth rate of per capita GDP The growth

rate of per capita GDP is given by:

Growth rate =GDP per capitaf−GDP per capita0

GDP per capita0

Step 4: Substitute the values Substitute the expressions for GDP per capitaf

and GDP per capita0into the growth rate formula and simplify:

Growth rate =

1.05×GDP0

1.03×P0−GDP0

GDP0

Growth rate =1.05

1.03 −1

Growth rate =0.0194

1= 1.94%

Therefore, we can infer that the country’s per capita GDP growth rate is

1.94

Question 18

Question

Consider a closed economy with the following information:



Consumption expenditure (C) =

500 million



Government spending (G) =

200 million



Investment expenditure (I) =

300 million



Exports (X) =

150 million



Imports (M) =

100 million

Given this data, calculate the following:

1. Gross Domestic Product (GDP)

2. Net exports (NX)

3. Gross National Product (GNP)

Solution

1. Step 1: Calculate GDP using the formula:

GDP =C+I+G+ (X−M)

Given:

C= 500 million

I= 300 million

G= 200 million

X= 150 million

M= 100 million

Plugging in the values:

GDP = 500 + 300 + 200 + (150 −100)

⇒GDP = 1000 + 50

⇒GDP = 1050 million

2. Step 2: Calculate Net exports (NX) using the formula:

NX =X−M

Given:

X= 150 million

M= 100 million

Plugging in the values:

NX = 150 −100

⇒NX = 50 million

3. Step 3: Calculate GNP using the formula:

GNP =GDP + (N X)

Given:

GDP = 1050 million

NX = 50 million

Plugging in the values:

GNP = 1050 + 50

⇒GNP = 1100 million

Question 19

Question

Suppose a researcher is investigating the impact of government spending on

GDP growth. The researcher collects data for the past 20 years and finds the

following information:

Year Government Spending (in billions) GDP Growth Rate (%)

1 200 3.2

2 210 3.5

3 220 3.8

4 230 4.0

5 240 4.1

6 250 4.3

7 260 4.5

8 270 4.6

9 280 4.7

10 290 4.9

11 300 5.0

12 310 5.2

13 320 5.4

14 330 5.5

15 340 5.7

16 350 5.9

17 360 6.1

18 370 6.3

19 380 6.5

20 390 6.7

Calculate the correlation coefficient between government spending and GDP

growth rate for the past 20 years. Interpret your result.

Solution

Step 1: Calculate the mean of government spending (X) and GDP growth rate

(Y):

X=1

i=1

Xi=1

i=1

Xi=1

20 ×5100 = 255

Y=1

i=1

Yi=1

i=1

Yi=1

20 ×97.2=4.86

Step 2: Calculate the sum of the products of deviations:

SXY =

i=1

(Xi−X)(Yi−Y)

SXY = (200−255)(3.2−4.86)+(210−255)(3.5−4.86)+. . .+(390−255)(6.7−4.86)

SXY = (−55)(−1.66) + (−45)(−1.36) + . . . + (135)(1.84)

SXY = 91.3 + 61.2 + . . . + 248.4 = 2635.5

Step 3: Calculate the sum of squared deviations:

SX2=

i=1

(Xi−X)2

SX2= (200 −255)2+ (210 −255)2+. . . + (390 −255)2

SX2= 552+ 452+. . . + 1352= 9625

SY2=

i=1

(Yi−Y)2

SY2= (3.2−4.86)2+ (3.5−4.86)2+. . . + (6.7−4.86)2

SY2= 1.662+ 1.362+. . . + 1.842= 13.2

Step 4: Calculate the correlation coefficient:

r=SXY

√SX2·SY2

r=2635.5

√9625 ·13.2

r≈0.916

Step 5: Interpretation: The correlation coefficient of 0.916 indicates a strong

positive relationship between government spending and GDP growth rate over

the past 20 years. This suggests that as government spending increases, GDP

growth rate tends to increase as well.

Question 20

Question

Suppose a country’s GDP is

500 billion, its national debt is

200 billion, and

its total exports are

100 billion. Calculate the country’s net national income.

Solution

Let’s denote the country’s GDP as Y, national debt as D, total exports as E,

and net national income as NNI. We can use the formula for NNI to calculate

the country’s net national income.

Step 1: Calculate Net National Income (NNI) using the formula:

NNI =Y−D+E

Step 2: Substitute the given values into the formula:

NNI = 500 billion −200 billion + 100 billion

Step 3: Perform the arithmetic to find NNI:

NNI = 400 billion

Therefore, the country’s net national income is

400 billion.

Question 21

Question

Suppose a country’s real GDP increased by 3

Solution

Step 1: Calculate the country’s nominal GDP in the third quarter in real terms

using the GDP deflator. Step 2: Calculate the country’s real GDP in the third

quarter using the formula for real GDP.

Step 1: The formula for converting nominal GDP into real terms using the

GDP deflator is:

Real GDP = Nominal GDP

GDP Deflator

Substitute the given values:

Real GDP in the third quarter = 500 billion

110 = 4.545 billion

Step 2: The formula for calculating real GDP using the growth rates is:

Real GDPQ3 = Real GDPQ2 ×(1 + Growth RateQ3)

Where: - Real GDPQ3 is the real GDP in the third quarter - Real GDPQ2

is the real GDP in the second quarter - Growth RateQ3 is the growth rate in

the third quarter - Growth RateQ2 is the growth rate in the second quarter

We calculated Real GDPQ3 to be

4.545 billion in Step 1. Let Real GDPQ2

be denoted by x. Then:

4.545 = x×1.05

x=4.545

1.05 ≈4.3286 billion

Now, we can calculate the Real GDP in the third quarter using the growth

rate for the third quarter:

Real GDPQ3 = 4.3286 ×(1 −0.02) = 4.24003 billion

Therefore, the country’s real GDP in the third quarter is approximately

4.24003 billion.

Question 22

Question

A country’s nominal GDP in 2020 was

1.5 trillion and the GDP deflator was

120. If the country’s real GDP in 2020 was

1.25 trillion, calculate the inflation

rate for that year.

Solution

Step 1: Calculate the GDP for the base year (2019).

GDPreal =GDPnominal

GDP deflator

GDPreal =$1.5 trillion

120

GDPreal = $12.5 trillion

Step 2: Calculate the inflation rate using the formula:

Inflation rate = GDPnominal −GDPreal

GDPreal ×100%

Inflation rate = $1.5 trillion −$1.25 trillion

$1.25 trillion ×100%

Inflation rate = $0.25 trillion

$1.25 trillion×100%

Inflation rate = 0.2×100%

Inflation rate = 20%

Therefore, the inflation rate for the country in 2020 was 20

Question 23

Question

Suppose a nation’s GDP is

10 trillion, its government spending is

2 trillion,

its exports are

1.5 trillion, its imports are

1.2 trillion, and its consumption is

6.5 trillion. Calculate the nation’s gross national product (GNP), net exports,

and net national product (NNP).

Solution

Step 1: Calculate Gross National Product (GNP)

GNP =GDP +N et F actor Income from the Rest of the W orld

Step 2: Calculate Net Exports

Net Exports =Exports −Imports

Step 3: Calculate Net National Product (NNP)

NNP =GNP −Depreciation

Step 1:

GNP = 10 trillion + 0

GNP = 10 trillion

Step 2:

Net Exports = 1.5trillion −1.2trillion

Net Exports = 0.3trillion

Step 3: Given that there is no information provided about depreciation, we

assume it to be zero.

NNP = 10 trillion −0

NNP = 10 trillion

Therefore, the nation’s GNP is

10 trillion, its net exports are

0.3 trillion,

and its NNP is also

10 trillion.

Question 24

Question

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 a country’s consumption is 450 billion, investment is 300 billion, govern-

ment spending is 200 billion, exports are 150 billion, and imports are 100 billion,

calculate the country’s GDP.

Solution

Step 1: Substitute the given values into the GDP equation.

Y=C+I+G+ (X−M)

Y= 450 + 300 + 200 + (150 −100)

Step 2: Perform the calculations.

Y= 450 + 300 + 200 + 50

Y= 950 + 50

Y= 1000

Therefore, the country’s GDP is 1000 billion.

Question 25

Question

A country’s GDP is measured at 2.5 trillion dollars. If the population of the

country is 50 million people, and the average income per capita is 40,000 dollars,

calculate the country’s Gini coefficient.

Solution

Step 1: Calculate the total income of the country using the GDP:

Total Income = GDP = 2.5 trillion dollars = 2.5×1012 dollars

Step 2: Calculate the total income of the country per capita:

Total Income per Capita = Total Income

Population =2.5×1012 dollars

50 ×106people = 50,000 dollars

Step 3: Calculate the Lorenz curve area (total inequality) using the Gini

coefficient formula:

G=Total Income/2 −Total Income per Capita

Total Income/2

Step 4: Substitute the values to find the Gini coefficient:

G=(2.5×1012/2) −50,000

2.5×1012/2

Step 5: Simplify and solve for Gto find the Gini coefficient.

Question 26

Question

Suppose a country’s Gross Domestic Product (GDP) is measured using the

expenditure approach as follows:

GDP = C+I+G+ (X−M)

where Crepresents consumption, Irepresents investment, Grepresents govern-

ment spending, Xrepresents exports, and Mrepresents imports.

If the country’s consumption is 500 billion, investment is 200 billion, gov-

ernment spending is 300 billion, exports are 150 billion, and imports are 100

billion, calculate the GDP of the country.

Solution

Step 1: Substitute the given values into the GDP formula:

GDP = C+I+G+ (X−M)

GDP = 500 + 200 + 300 + (150 −100)

Step 2: Simplify the expression:

GDP = 500 + 200 + 300 + 50

Step 3: Add the values together to find the GDP:

GDP = 1050 billion

Therefore, the GDP of the country is 1050 billion.

Question 27

Question

Suppose a country’s GDP is

800 billion, its consumption is

500 billion, its

investment is

200 billion, and its government spending is

150 billion. Calcu-

late the country’s net exports and explain its significance in the context of the

country’s economy.

Solution

Step 1: To calculate the country’s net exports, we use the equation:

Net exports = Exports −Imports

Step 2: Since the country’s GDP is defined as the sum of consumption,

investment, government spending, and net exports, we have:

GDP = Consumption + Investment + Government Spending + Net exports

Step 3: Substituting the given values into the equation, we can rewrite it as:

$800 billion = $500 billion + $200 billion + $150 billion + Net exports

Step 4: Solving for net exports, we get:

Net exports = $800 billion −($500 billion + $200 billion + $150 billion)

Net exports = $800 billion −$850 billion = −$50 billion

Step 5: The negative value for net exports indicates that the country has

a trade deficit, meaning it imports more goods and services than it exports.

This can have implications on the country’s current account balance, currency

valuation, and overall economic stability.

Question 28

Question

Suppose a country’s GDP is

750 billion, consumption expenditure is

450 bil-

lion, government expenditure is

150 billion, and net exports are -

30 billion.

Calculate the country’s investment expenditure.

Solution

Step 1: Recall the formula for calculating GDP:

GDP =C+I+G+NX

where: - Cis consumption expenditure, - Iis investment expenditure, - Gis

government expenditure, and - NX is net exports.

Step 2: Substitute the given values into the GDP formula:

$750 billion = $450 billion + I+ $150 billion −$30 billion

Step 3: Rearrange the equation to solve for investment expenditure I:

I= $750 billion −$450 billion −$150 billion + $30 billion

Step 4: Perform the arithmetic to find the value of investment expenditure:

I= $180 billion

Therefore, the country’s investment expenditure is

180 billion.

Question 29

Question

A company’s production function is given by Q= 10L0.5K0.5, where Qis the

level of output, Lis the amount of labor input, and Kis the amount of capital

input. The company currently employs 25 units of labor and 16 units of capital.

If the company wants to triple its level of output, how many units of capital

should it use?

Solution

Step 1: Calculate the current level of output using the given amounts of labor

and capital.

Current output = 10(25)0.5(16)0.5

Current output = 10(5)(4)

Current output = 200

Step 2: Determine the new level of output by tripling the current output.

New output = 3 ×200

New output = 600

Step 3: Set up the equation for the new level of output using the production

function.

600 = 10L0.5K0.5

Step 4: Substitute the amount of labor into the equation (25 units) and solve

for the amount of capital.

600 = 10(25)0.5K0.5

60 = 5K0.5

12 = K0.5

K= 144

Therefore, the company should use 144 units of capital to triple its level of

output.

Question 30

Question

Assume that the consumer price index (CPI) in a certain country increased from

120 to 130 over the course of a year. If a basket of goods and services that cost

800 the previous year now costs

850, what is the inflation rate in this country?

Solution

Step 1: Calculate the inflation rate using the formula Inflation Rate = CPInew −CPIold

CPIold ×

100%.

Step 2: Substitute the given values into the formula. The CPI for the current

year (CPInew) is 130, and the CPI for the previous year (CPIold) is 120.

Inflation Rate = 130 −120

120 ×100%

Step 3: Calculate the inflation rate.

Inflation Rate = 10

120×100% = 1

12 ×100% = 8.3%

Step 4: Calculate the percentage increase in the basket of goods and services

using the formula Percentage Increase = New Price−Old Price

Old Price ×100%.

Step 5: Substitute the given values into the formula. The old price is

800

and the new price is

850.

adjusts for changes in prices, providing a clearer picture of the true growth and

productivity of an economy.

Question 2

Question

Assume you are an economist studying the economy of a country. You are given

the following information about the economy:

- Gross Domestic Product (GDP) = 500billion −Consumption =300 billion

- Investment = 100billion −Governmentspending =50 billion - Exports =

80billion −Imports =70 billion

Calculate the following economic variables: a) Net exports b) Aggregate

expenditure c) Aggregate income d) Disposable income

Solution

a) To calculate Net exports, we use the formula: Net exports = Exports -

Imports.

Net exports = $80 billion −$70 billion = $10 billion

b) To calculate Aggregate expenditure, we use the formula: Aggregate ex-

penditure = Consumption + Investment + Government spending + Net exports.

Aggregate expenditure = $300 billion+$100 billion+$50 billion+$10 billion = $460 billion

c) Aggregate income is the same as GDP in a closed economy. Therefore,

Aggregate income in this case is 500billion.

d) To calculate Disposable income, we use the formula: Disposable income

= Aggregate income - Taxes + Transfers. Since we do not have information

about taxes and transfers, we cannot calculate Disposable income without this

information.

Question 3

Question

Suppose a country’s GDP is

10 trillion, its government spending is

2 trillion,

and its net exports are

500 billion. If the consumption function is given by

C= 0.8Y−500, where Yis the country’s income, calculate the country’s

equilibrium income.

Solution

Step 1: First, we need to calculate the country’s equilibrium income by using

the formula:

Y=C+I+G+NX

where I,G, and NX represent investment, government spending, and net ex-

ports, respectively.

Step 2: We can substitute the given values to the equation:

Y= (0.8Y−500) + I+ 2 + 0.5

Y= 0.8Y−498.5

Step 3: Rearrange the equation to solve for Y:

0.2Y= 498.5

Y=498.5

0.2

Y= 2492.5

Step 4: Therefore, the country’s equilibrium income is

2.4925 trillion.

Question 4

Question

Suppose a country’s GDP is

1,200 billion, its consumption is

800 billion, its

investment is

300 billion, and its government spending is

200 billion. Calculate

the country’s net exports.

Solution

Step 1: Recall the formula for GDP:

GDP =C+I+G+NX

where: - Cis consumption, - Iis investment, - Gis government spending, and

-NX is net exports.

Step 2: Substitute the given values into the formula:

1,200 = 800 + 300 + 200 + N X

Step 3: Solve for NX:

1,200 = 1,300 + NX

NX = 1,200 −1,300

NX =−100

Step 4: Interpretation: A negative net export value (-

100 billion) indicates

that the country is a net importer of goods and services, meaning that its

imports exceed its exports.