Public Finance and Fiscal Policy

89 questions

Question 61Question

When evaluating public finance in an economy, government allocations toward national defense, law enforcement, and central administration are functionally classified under expenditure on which of the following?

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Answer: General services

Answer

General services
General services comprise public expenditures required for the basic operation of a sovereign state, including maintaining internal security, national defense, the judicial system, and executive governance.

Step-by-Step Solution

1
Identify the functional purpose of the listed government spending items
National defense, law enforcement, and central administration provide governance, legal frameworks, and national security.
Functional classification categorizes public expenditure according to the specific service delivered by the government.
2
Map the functions to standard public finance categories
Core administrative, security, and judicial functions fall under the category of General Services.
Social services focus on welfare and education, economic services focus on commercial infrastructure and production, and general services cover core administration and defense.

Key Concept

Functional Classification of Public Expenditure
Estimated Time:1m 0s
Question 62Question

In a given fiscal year, a government's budgetary projections are presented as follows:

Budget ComponentAmount (₦ billion)
Recurrent Revenue450
Capital Revenue150
Recurrent Expenditure380
Capital Expenditure320

Based on the table above, what is the magnitude of the government's budget deficit in billions of Naira?

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Answer: 100

Answer

The magnitude of the government's budget deficit is 100 billion Naira.
The budget deficit is determined by finding the difference between total expenditure and total revenue. Total revenue equals ₦450 billion + ₦150 billion = ₦600 billion. Total expenditure equals ₦380 billion + ₦320 billion = ₦700 billion. The budget deficit is therefore ₦700 billion - ₦600 billion = ₦100 billion.

Step-by-Step Solution

1
Calculate Total Revenue
Total Revenue = ₦450 billion + ₦150 billion = ₦600 billion
Total government revenue is the sum of recurrent revenue and capital revenue.
2
Calculate Total Expenditure
Total Expenditure = ₦380 billion + ₦320 billion = ₦700 billion
Total government expenditure is the sum of recurrent expenditure and capital expenditure.
3
Calculate the Budget Deficit
Budget Deficit = Total Expenditure - Total Revenue = ₦700 billion - ₦600 billion = ₦100 billion
A budget deficit occurs when total spending exceeds total revenue earned.

Key Concept

Budget Deficit Calculation
Question 63Question

Which type of budget is implemented by a government when its proposed total expenditure exceeds its expected total revenue for a given fiscal year?

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Answer: Deficit budget

Answer

Deficit budget
A deficit budget is explicitly designed or experienced when planned government spending exceeds total anticipated revenue during a fiscal period.

Step-by-Step Solution

1
Compare government total revenue and total expenditure.
Total expenditure is greater than total revenue.
The financial state of a budget is determined by the relationship between total revenue and total spending.
2
Identify the budget classification where spending exceeds revenue.
Deficit budget
By definition, a deficit budget is a financial plan where total planned expenditure exceeds total expected revenue for the fiscal period.

Key Concept

Deficit Budget Definition
Question 64Question

A government seeking to reduce the servicing cost of its existing long-term obligations replaces a high-interest bond issue with a new loan floated at a significantly lower rate of interest. Which public debt management technique is being utilized in this scenario?

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Answer: Debt conversion

Answer

Debt conversion
Debt conversion is the public debt management technique where a government replaces an outstanding high-interest loan with a new loan carrying a lower interest rate, reducing the overall public debt servicing burden.

Step-by-Step Solution

1
Identify the core action described in the scenario
The government is replacing an existing high-interest debt instrument with a new lower-interest loan.
Evaluating the mechanism of replacing existing loan contracts clarifies the debt management technique used.
2
Match the action to debt management terminology
Replacing high-cost public debt with low-cost debt is formally defined as debt conversion.
Debt conversion aims to lighten the interest burden on public revenue without default.

Key Concept

Public Debt Management and Debt Redemption Techniques
Estimated Time:1m 0s
Question 65Question

An economy's current equilibrium national income is $1,200 billion\$1,200\text{ billion}, while its full-employment potential national income is $1,500 billion\$1,500\text{ billion}. The consumption function is C=150+0.75YdC = 150 + 0.75Y_d, where YdY_d is disposable income (Yd=YTY_d = Y - T), and the tax function is T=40+0.20YT = 40 + 0.20Y, where YY is national income. To achieve economic stabilization at full employment using fiscal policy, by how much (in billions of dollars) must the government increase its expenditure (GG)?

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Answer: 120

Answer

The government must increase its expenditure by 120 billion dollars.
To close the $300 billion\$300\text{ billion} recessionary gap, the government spending multiplier must incorporate the proportional tax rate (t=0.20t = 0.20). The effective MPC out of national income is 0.75×(10.20)=0.600.75 \times (1 - 0.20) = 0.60, yielding a government spending multiplier of Kg=110.60=2.5K_g = \frac{1}{1 - 0.60} = 2.5. Dividing the gap of $300 billion\$300\text{ billion} by 2.52.5 gives the required spending increase of 120 billion dollars.

Step-by-Step Solution

1
Determine the output gap
Output gap ΔY=$1,500 billion$1,200 billion=$300 billion\Delta Y = \$1,500\text{ billion} - \$1,200\text{ billion} = \$300\text{ billion}
Economic stabilization requires increasing national income by the difference between potential output and current equilibrium output.
2
Calculate the effective marginal propensity to consume out of total national income (MPCYMPC_Y)
MPCY=0.75×(10.20)=0.60MPC_Y = 0.75 \times (1 - 0.20) = 0.60
The proportional income tax reduces disposable income to (1t)Y(1 - t)Y, altering the overall spending response to changes in total output.
3
Calculate the government spending multiplier (KgK_g)
Kg=110.60=2.5K_g = \frac{1}{1 - 0.60} = 2.5
The spending multiplier accounts for income tax leakages in the circular flow.
4
Calculate the required increase in government spending (ΔG\Delta G)
ΔG=$300 billion2.5=120 billion\Delta G = \frac{\$300\text{ billion}}{2.5} = 120\text{ billion}
Dividing the output gap by the fiscal multiplier yields the exact injection of expenditure needed to achieve full employment.

Key Concept

Fiscal policy tools, government expenditure multiplier with proportional taxation, and economic stabilization of output gaps.
Question 66Question

The government levies a per-unit indirect tax on a manufactured commodity. If the coefficient of price elasticity of demand is 0.250.25 and the coefficient of price elasticity of supply is 1.251.25, which of the following statements correctly describes the incidence of the tax?

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Answer: Consumers bear a greater share of the tax burden than producers.

Answer

Consumers bear a greater share of the tax burden than producers.
Tax incidence depends on the relative elasticities of demand and supply. The share of an indirect tax borne by consumers is given by EsEd+Es\frac{E_s}{E_d + E_s}, while the producer share is EdEd+Es\frac{E_d}{E_d + E_s}. With Ed=0.25E_d = 0.25 and Es=1.25E_s = 1.25, consumers pay 1.251.50=83.3%\frac{1.25}{1.50} = 83.3\% of the tax, and producers absorb 16.7%16.7\%. Therefore, consumers bear a significantly greater share of the tax burden.

Step-by-Step Solution

1
Compare the relative magnitudes of price elasticity of demand (EdE_d) and price elasticity of supply (EsE_s).
Ed=0.25E_d = 0.25 and Es=1.25E_s = 1.25, which establishes that Ed<EsE_d < E_s.
Tax incidence is governed by the relative price elasticities of market demand and supply.
2
Calculate the proportion of the tax passed onto consumers.
Consumer share = EsEd+Es=1.250.25+1.25=1.251.50=5683.3%\frac{E_s}{E_d + E_s} = \frac{1.25}{0.25 + 1.25} = \frac{1.25}{1.50} = \frac{5}{6} \approx 83.3\%.
The consumer burden ratio is proportional to supply elasticity over total elasticity.
3
Calculate the proportion of the tax absorbed by producers.
Producer share = EdEd+Es=0.251.50=1616.7%\frac{E_d}{E_d + E_s} = \frac{0.25}{1.50} = \frac{1}{6} \approx 16.7\%.
The producer burden ratio is proportional to demand elasticity over total elasticity.
4
Determine which group bears the greater share.
Since 83.3%>16.7%83.3\% > 16.7\%, consumers bear the greater share of the tax burden.
The less elastic side of the market absorbs the larger share of an indirect tax.

Key Concept

Tax Incidence and Price Elasticity of Demand and Supply
Question 67Question

A specific tax of 15\text{₦}15 per unit is imposed on a luxury commodity. Prior to the imposition of the tax, the equilibrium market price was 100\text{₦}100 per unit. Following the tax, the market price paid by consumers increases to 109\text{₦}109 per unit. What is the amount of the unit tax borne by the producer in Naira (\text{₦})?

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Answer: 6

Answer

The producer bears ₦6 of the ₦15 per unit tax.
Tax incidence refers to how the ultimate economic burden of a tax is divided between buyers and sellers. When a unit tax of 15\text{₦}15 raises the consumer price from 100\text{₦}100 to 109\text{₦}109, consumers bear 9\text{₦}9 of the tax burden per unit. The producer receives 10915=94\text{₦}109 - \text{₦}15 = \text{₦}94 per unit after paying the tax to the government. The net price reduction for the producer is 10094=6\text{₦}100 - \text{₦}94 = \text{₦}6, which represents the producer's incidence of the tax.

Step-by-Step Solution

1
Calculate the consumer's share of the tax incidence per unit.
Consumer tax share = 109100=9\text{₦}109 - \text{₦}100 = \text{₦}9.
The portion of an indirect tax passed forward to consumers equals the increase in the market price paid by buyers.
2
Calculate the producer's share of the tax incidence per unit.
Producer tax share = 159=6\text{₦}15 - \text{₦}9 = \text{₦}6.
The total per-unit tax is distributed between the consumer and the producer. Deducting the consumer's share from the total tax leaves the producer's share.

Key Concept

Tax Incidence Distribution
Estimated Time:1m 30s
Question 68Question

A government issues 91-day Treasury bills to cover an immediate deficiency in recurrent expenditure, while concurrently making systematic annual deposits into a dedicated reserve to redeem a 20-year bond issue at maturity. How are these two public debt instruments classified respectively?

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Answer: Floating debt and funded debt

Answer

The short-term Treasury bill obligation is classified as floating debt, while the long-term bond issue backed by a dedicated redemption fund is classified as funded debt.
Public debt is categorized by tenure and repayment arrangements. Floating (unfunded) debt consists of short-term obligations like Treasury bills issued to meet temporary revenue gaps. Funded debt comprises long-term obligations for which a dedicated fund (such as a sinking fund) is systematically created to pay off the principal upon maturity. Therefore, the short-term Treasury bill is floating debt and the 20-year bond with annual redemption deposits is funded debt.

Step-by-Step Solution

1
Analyze the first debt instrument (91-day Treasury bills used for short-term deficit spending).
Identify that short-term debt maturing within a year without a permanent provision for redemption is floating (unfunded) debt.
Floating debt provides temporary liquidity to bridge budget gaps.
2
Analyze the second debt instrument (20-year bond backed by systematic annual deposits into a dedicated reserve).
Identify that long-term debt tied to a dedicated redemption fund (sinking fund) is funded debt.
Funded debt has a long duration and explicit financial mechanisms established for its gradual debt retirement.
3
Match both classifications sequentially.
The correct classification pair is floating debt and funded debt.
The sequence must reflect the short-term instrument first and the long-term sinking fund instrument second.

Key Concept

Classification of Public Debt by Maturity and Redemption Mechanism (Floating vs. Funded Debt)
Question 69Question

In a financial year, a government collected 650 billion\text{₦}650\text{ billion} in tax revenue and 180 billion\text{₦}180\text{ billion} in non-tax revenue. During the same period, its recurrent expenditure was 520 billion\text{₦}520\text{ billion} and its capital expenditure was 460 billion\text{₦}460\text{ billion}. What is the government's budget deficit in billions of Naira (\text{₦})?

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Answer: 150

Answer

The government's budget deficit is 150 billion\text{₦}150\text{ billion}.
The budget deficit represents the excess of total expenditure over total revenue in a fiscal period. Adding tax revenue (650 billion\text{₦}650\text{ billion}) and non-tax revenue (180 billion\text{₦}180\text{ billion}) gives a total revenue of 830 billion\text{₦}830\text{ billion}. Adding recurrent expenditure (520 billion\text{₦}520\text{ billion}) and capital expenditure (460 billion\text{₦}460\text{ billion}) yields a total expenditure of 980 billion\text{₦}980\text{ billion}. The difference (980 billion830 billion\text{₦}980\text{ billion} - \text{₦}830\text{ billion}) results in a budget deficit of 150 billion\text{₦}150\text{ billion}.

Step-by-Step Solution

1
Calculate Total Revenue
Total Revenue = 830 billion\text{₦}830\text{ billion}
Total revenue is the sum of tax revenue and non-tax revenue: 650 billion+180 billion=830 billion\text{₦}650\text{ billion} + \text{₦}180\text{ billion} = \text{₦}830\text{ billion}.
2
Calculate Total Expenditure
Total Expenditure = 980 billion\text{₦}980\text{ billion}
Total expenditure is the sum of recurrent expenditure and capital expenditure: 520 billion+460 billion=980 billion\text{₦}520\text{ billion} + \text{₦}460\text{ billion} = \text{₦}980\text{ billion}.
3
Calculate Budget Deficit
Budget Deficit = 150 billion\text{₦}150\text{ billion}
A budget deficit occurs when total expenditure exceeds total revenue. Deficit = Total Expenditure - Total Revenue = 980 billion830 billion=150 billion\text{₦}980\text{ billion} - \text{₦}830\text{ billion} = \text{₦}150\text{ billion}.

Key Concept

Budget Deficit Calculation
Question 70Question

Which type of public debt is incurred to finance non-revenue-yielding activities, such as military expenditure or emergency relief, leaving behind no physical asset to yield income for its repayment?

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Answer: Deadweight debt

Answer

Deadweight debt
Deadweight debt is public debt contracted to finance expenditures that yield no direct economic or financial return, such as wars or administrative emergencies, requiring future tax revenue for debt servicing.

Step-by-Step Solution

1
Analyze the expenditure purpose described in the question stem.
The funds are spent on non-revenue-yielding activities such as war or emergency relief.
Public debt is categorized based on whether the investment yields financial returns to cover debt servicing costs.
2
Match the expenditure characteristics to the correct public debt classification.
Debt incurred for non-asset creating consumption is classified as deadweight debt.
Since no revenue-generating asset is created, the burden of servicing deadweight debt falls entirely on future tax revenues.

Key Concept

Classification of Public Debt by Asset Productivity (Deadweight vs Productive Debt)
Question 71Question

A government levies an income tax where an earner with a monthly income of N400,000\text{N}400,000 pays N60,000\text{N}60,000, while an earner with a monthly income of N800,000\text{N}800,000 pays N120,000\text{N}120,000. Which system of taxation is being applied?

Show answer & explanation

Answer: Proportional tax system

Answer

Proportional tax system
A proportional tax system imposes a constant tax rate across all income levels. Here, the first earner pays 60,000400,000×100%=15%\frac{60,000}{400,000} \times 100\% = 15\% and the second earner pays 120,000800,000×100%=15%\frac{120,000}{800,000} \times 100\% = 15\%. Because the proportion of income taken in tax remains identical regardless of income size, the system is proportional.

Step-by-Step Solution

1
Calculate the effective tax rate for the first earner
Tax rate = 60,000400,000×100%=15%\frac{60,000}{400,000} \times 100\% = 15\%
To determine the tax system, we must evaluate the ratio of tax paid to total income.
2
Calculate the effective tax rate for the second earner
Tax rate = 120,000800,000×100%=15%\frac{120,000}{800,000} \times 100\% = 15\%
Comparing the tax rates between different income earners shows how the burden changes with income.
3
Classify the tax system based on the calculated tax rates
Both earners pay exactly 15%15\% of their income in tax, indicating a proportional tax system.
A system where the tax rate remains constant regardless of income size is defined as proportional.

Key Concept

Proportional Tax System
Question 72Question

A government experiencing a persistent fiscal deficit decides to curtail its capital expenditure on vital infrastructure projects while simultaneously increasing recurrent expenditure to fund administrative overheads. Which of the following is the most likely long-term economic consequence of this budgetary control measure?

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Answer: A reduction in the economy's productive capacity and long-term economic growth

Answer

A reduction in the economy's productive capacity and long-term economic growth
Capital expenditure directly contributes to physical capital formation (e.g., transport networks, energy facilities, and public utilities). When a government cuts capital spending to maintain high recurrent administrative expenses, long-term productive capacity decreases, leading to slower economic growth.

Step-by-Step Solution

1
Classify government spending components
Capital expenditure creates long-term physical assets and infrastructure, whereas recurrent expenditure pays for ongoing operational costs such as wages and overheads.
Evaluating the long-term impact of fiscal policy requires distinguishing wealth-creating capital projects from consumable recurrent expenses.
2
Analyze the impact of prioritizing recurrent consumption over capital investment
Diverting financial resources away from roads, power plants, and public works directly weakens national infrastructure and lowers potential Gross Domestic Product (GDP).
Economic development depends on continuous capital accumulation to enhance aggregate supply and competitiveness.

Key Concept

Capital versus Recurrent Expenditure Allocation
Estimated Time:1m 0s
Question 73Question

Unlike internal debt which involves a redistribution of purchasing power within a country, servicing external public debt imposes a real economic burden on the debtor nation. How does the repayment of interest and principal on external debt directly affect the domestic economy?

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Answer: It requires an outflow of real goods and services, reducing the Gross National Product available for domestic consumption

Answer

Servicing external public debt requires an outflow of real goods and services, reducing the Gross National Product available for domestic consumption.
Servicing external debt requires the borrowing country to surrender foreign exchange and real economic output to foreign creditors. This net transfer of resources abroad reduces the country's Gross National Product (GNP) and leaves fewer goods and services available for domestic consumption and investment.

Step-by-Step Solution

1
Distinguish between internal and external debt burden mechanisms
Internal debt servicing transfers money between domestic taxpayers and domestic bondholders without altering total national wealth, whereas external debt servicing transfers wealth out of the nation.
Understanding the direction of resource flows is critical for public debt analysis.
2
Analyze the foreign exchange and macroeconomic impact of external debt service
To pay foreign creditors, the debtor nation must export more goods and services than it imports (surplus of real exports), transferring domestic production to foreigners.
Foreign debt obligations must be settled in foreign currencies earned through real resource exports.
3
Identify the net effect on national income aggregates
The outflow of income to foreign debt holders reduces Gross National Product (GNP) relative to Gross Domestic Product (GDP), lowering total domestic living standards.
GNP measures income earned by residents, deducting factor payments made to foreign creditors.

Key Concept

Economic Burden of External Public Debt
Question 74Question

Match each public debt management strategy or concept on the left with its corresponding operational description on the right.

Click a left item, then click its matching right item

Items

Debt Conversion
Sinking Fund
Debt Repudiation
Debt Refinancing

Matches

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Answer

Debt Conversion matches with exchanging high-yield short-term debt instruments for low-interest long-term debt securities; Sinking Fund matches with accumulating regular budgetary appropriations into a specialized account dedicated to retiring maturing bonds; Debt Repudiation matches with unilaterally declaring public debt null and void; Debt Refinancing matches with replacing existing high-interest obligations with a new lower-rate loan.
Each public debt management term is paired with its precise economic operation: Debt Conversion refers to altering bond terms via instrument exchange; Sinking Fund is the systematic reserve creation for debt payoff; Debt Repudiation is the explicit rejection of sovereign obligations; and Debt Refinancing is taking out new loans at cheaper rates to repay older liabilities.

Step-by-Step Solution

1
Analyze Debt Conversion
Identify that conversion refers to altering the terms of existing debt by swapping existing securities for new ones with lower interest rates or longer maturities.
Differentiating conversion from simple refinancing requires recognizing the structural exchange of debt instruments.
2
Analyze Sinking Fund
Identify that a sinking fund is a systematic redemption method involving amortized annual allocations reserved for future debt payoff.
This sets aside current revenue streams into a dedicated accumulation account to prevent sudden fiscal strain upon maturity.
3
Analyze Debt Repudiation
Identify repudiation as an illegal or extreme sovereign refusal to acknowledge or pay back national liabilities.
Unlike debt restructuring or forgiveness, repudiation is a unilateral break of contractual obligations.
4
Analyze Debt Refinancing
Identify refinancing as securing a fresh loan under lower interest conditions specifically to liquidate an active, higher-cost debt.
Refinancing replaces an old loan contract with a new borrowing contract.

Key Concept

Methods of Public Debt Redemption and Restructuring
Question 75Question

Which of the following financial instruments is issued by the government to borrow short-term funds from the money market?

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Answer: Treasury bills

Answer

Treasury bills
Treasury bills are short-term public debt instruments issued by the monetary authority on behalf of the government to cover short-term revenue shortfalls. They mature within 91, 182, or 364 days, making them a primary money market instrument.

Step-by-Step Solution

1
Identify the timeframe of the debt instrument requested
The question asks for a short-term borrowing instrument used by the government.
Public debt instruments are categorized by maturity duration into money market (short-term, usually under 1 year) and capital market (long-term) instruments.
2
Evaluate the financial instruments provided
Treasury bills are short-term instruments issued by the Central Bank on behalf of the government, maturing within 91 to 364 days.
Bonds and development stocks are long-term debt instruments belonging to the capital market.

Key Concept

Classification of Government Debt Instruments by Maturity
Estimated Time:45s
Question 76Question

Match each category or concept of public expenditure on the left with its correct characteristic or definition on the right.

Click a left item, then click its matching right item

Items

Recurrent Expenditure
Capital Expenditure
Transfer Payments
Peacock-Wiseman Hypothesis

Matches

Show answer & explanation

Answer

Recurrent Expenditure matches day-to-day operational outlays; Capital Expenditure matches government outlays on long-term infrastructure; Transfer Payments match disbursements made without direct exchange of goods or services; Peacock-Wiseman Hypothesis matches the proposition that expenditure grows in step-like jerks during social disturbances.
Each term on the left maps directly to its defining economic role: Recurrent Expenditure covers routine administrative running costs, Capital Expenditure creates durable assets, Transfer Payments redistribute revenue without exchange of goods or services, and the Peacock-Wiseman Hypothesis explains crisis-driven stepwise expenditure growth.

Step-by-Step Solution

1
Differentiate short-term operational spending from long-term productive investments
Recurrent expenditure aligns with routine administrative expenses, whereas capital expenditure aligns with long-term infrastructure development.
Public expenditure classification distinguishes between consumption spending that maintains operations and investment spending that yields multi-year assets.
2
Identify unrequited government financial flows
Transfer payments represent government disbursements such as social security and pensions where no direct productive output or service is rendered in exchange.
Unlike purchases of goods and services, transfer payments represent income transfers rather than economic production.
3
Analyze theories explaining growth in public expenditure
The Peacock-Wiseman Hypothesis explains spending growth as occurring in stepwise shifts caused by social shocks, wars, or national crises (displacement effect).
This hypothesis contrasts with continuous growth models by emphasizing crisis-triggered upward steps in public revenue and expenditure levels.

Key Concept

Classification of Public Expenditure and Theories of Public Expenditure Growth
Question 77Question

Match each tax category or system on the left with its corresponding defining operational characteristic on the right.

Click a left item, then click its matching right item

Items

Pay-As-You-Earn (PAYE)
Ad Valorem Tax
Proportional Tax System
Excise Duty

Matches

Show answer & explanation

Answer

Pay-As-You-Earn (PAYE) corresponds to a direct tax deducted at source from earned income; Ad Valorem Tax corresponds to an indirect tax charged as a percentage of a good's price; Proportional Tax System corresponds to a system applying a uniform tax rate regardless of income size; and Excise Duty corresponds to an indirect tax levied on specific domestically produced goods.
Each taxation term is accurately matched to its definition: PAYE is a direct tax deducted at source from employee salaries; Ad Valorem Tax is a tax levied as a percentage of product value; Proportional Tax System imposes a single flat tax rate across all income brackets; and Excise Duty is an indirect tax applied to specific goods manufactured inside the country.

Step-by-Step Solution

1
Identify the nature of Pay-As-You-Earn (PAYE).
PAYE is a direct tax on personal earned income withheld at the source.
Direct taxes are paid by the entity on whom they are legally imposed, such as salary earners.
2
Distinguish between specific and ad valorem indirect taxes.
Ad valorem tax is calculated as a fixed percentage of price/value, whereas specific tax is per physical unit.
The term 'ad valorem' literally means 'according to value'.
3
Determine the defining rate behavior of a Proportional Tax System.
A proportional tax maintains a constant percentage rate as income grows.
Unlike progressive or regressive systems, the marginal and average tax rates remain equal and constant.
4
Analyze the focus of Excise Duties.
Excise duties target specific commodities produced within the domestic territory.
Customs duties apply to foreign trade imports/exports, while excise duties target domestic production.

Key Concept

Tax Classification and Tax Systems
Estimated Time:1m 30s
Question 78Question

The imposition of a 40\text{₦}40 unit tax on cement causes the market retail price to increase from 4,000\text{₦}4,000 to 4,010\text{₦}4,010. What fraction of the tax burden is borne by the supplier?

Show answer & explanation

Answer: 34\frac{3}{4}

Answer

The fraction of the tax burden borne by the supplier is 34\frac{3}{4}.
The total per-unit tax is 40\text{₦}40. Since the market price rises from 4,000\text{₦}4,000 to 4,010\text{₦}4,010, consumers pay an additional 10\text{₦}10, which corresponds to 1040=14\frac{\text{₦}10}{\text{₦}40} = \frac{1}{4} of the tax burden. The supplier must absorb the remaining portion of the tax, which is 4010=30\text{₦}40 - \text{₦}10 = \text{₦}30. Expressed as a fraction of the total tax, the supplier's incidence is 3040=34\frac{\text{₦}30}{\text{₦}40} = \frac{3}{4}.

Step-by-Step Solution

1
Calculate the price increase passed on to consumers.
Price Increase=4,0104,000=10\text{Price Increase} = \text{₦}4,010 - \text{₦}4,000 = \text{₦}10
The difference between the post-tax price and pre-tax price represents the consumer's portion of the tax per unit.
2
Calculate the portion of the tax absorbed by the supplier.
Supplier’s Burden=4010=30\text{Supplier's Burden} = \text{₦}40 - \text{₦}10 = \text{₦}30
Subtracting the consumer's share from the total unit tax gives the net revenue loss per unit experienced by the supplier.
3
Determine the supplier's fraction of the total tax burden.
Supplier’s Share=3040=34\text{Supplier's Share} = \frac{\text{₦}30}{\text{₦}40} = \frac{3}{4}
Dividing the supplier's tax burden by the total per-unit tax yields the proportion borne by the producer/supplier.

Key Concept

Tax Incidence and Burden Sharing
Estimated Time:1m 0s
Question 79Question

In an economy, the consumption function is given as C=50 billion+0.8YdC = ₦50\text{ billion} + 0.8 Y_d, where YdY_d represents disposable income. The government levies a flat proportional income tax rate of 25%25\% (t=0.25t = 0.25) on total national income (YY). If the economy is currently experiencing a recessionary output gap of 200 billion₦200\text{ billion}, calculate the required increase in government expenditure (ΔG\Delta G), in billions of Naira, to achieve full-employment equilibrium.

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Answer: 80

Answer

The required increase in government expenditure is 80 billion Naira.
With a marginal propensity to consume of 0.80.8 and a proportional tax rate of 0.250.25, the effective consumption propensity relative to total income is 0.8×(10.25)=0.60.8 \times (1 - 0.25) = 0.6. The spending multiplier is Kg=110.6=2.5K_g = \frac{1}{1 - 0.6} = 2.5. Closing a 200 billion₦200\text{ billion} recessionary gap requires an initial government spending increase of 200 billion2.5=80 billion\frac{₦200\text{ billion}}{2.5} = ₦80\text{ billion}.

Step-by-Step Solution

1
Determine the effective marginal propensity to consume out of total income (MPCYMPC_Y)
MPCY=0.8×(10.25)=0.6MPC_Y = 0.8 \times (1 - 0.25) = 0.6
Taxation reduces disposable income, so out of every additional unit of national income, only (1t)(1 - t) remains available for consumption.
2
Calculate the fiscal spending multiplier (KgK_g)
Kg=110.6=2.5K_g = \frac{1}{1 - 0.6} = 2.5
The expenditure multiplier accounts for the automatic leakage caused by proportional income taxes.
3
Calculate the necessary government spending injection (ΔG\Delta G)
ΔG=2002.5=80 billion Naira\Delta G = \frac{200}{2.5} = 80\text{ billion Naira}
Dividing the target increase in national output by the multiplier yields the required initial discretionary fiscal boost.

Key Concept

Fiscal policy expenditure multiplier with proportional taxation
Question 80Question

A government facing heavy debt service obligations decides to replace its maturing high-interest, short-term Treasury bills with long-term Treasury bonds that carry a lower coupon rate. Which public debt management mechanism has the government executed, and what is its primary economic effect?

Show answer & explanation

Answer: Debt conversion, which transforms floating debt into funded debt while reducing overall debt servicing costs.

Answer

Debt conversion, which transforms floating debt into funded debt while reducing overall debt servicing costs.
The correct answer identifies the operation as debt conversion because replacing short-term Treasury bills (floating debt) with long-term Treasury bonds (funded debt) carrying lower interest rates changes the debt structure and directly reduces annual interest service costs for the government.

Step-by-Step Solution

1
Analyze the debt management action described in the scenario.
The government is replacing short-term maturing obligations (Treasury bills) with long-term instruments (Treasury bonds) carrying lower interest rates.
Short-term government debt is classified as floating debt, whereas long-term government debt is classified as funded debt.
2
Identify the debt management mechanism.
Exchanging an existing public debt security for another type of debt instrument with different maturity and interest terms is defined as Debt Conversion.
Conversion allows debt managers to restructure floating obligations into funded debt and capitalize on lower market interest rates.
3
Evaluate the primary economic effect.
The operation lengthens the debt maturity profile and lowers periodic interest payouts, thereby reducing immediate debt servicing burdens on the public budget.
Lowering coupon rates directly diminishes annual budgetary expenditure allocated to interest payments.

Key Concept

Public Debt Conversion and Funding
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