Government Budget and the EconomyClass 12 Introductory Macroeconomics NCERT Solutions
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Q1Questions
Explain why public goods must be provided by the government.
Solution
Public goods must be provided by the government because the private sector is generally unwilling or unable to supply them due to their unique characteristics. These characteristics create a market failure that necessitates government intervention.
The two main features of public goods are:
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Non-Rivalrous: The consumption of a public good by one individual does not reduce its availability to others. For example, national defence protects all citizens simultaneously, and one person's security does not diminish the security of another.
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Non-Excludable: It is not feasible or is prohibitively expensive to exclude anyone from enjoying the benefits of the good, even if they do not pay for it. For instance, it is impossible to exclude a particular citizen from the benefits of a clean air program or national defence.
These features lead to the 'free-rider problem'. Since people cannot be excluded from using the good, they have no incentive to pay for it voluntarily. They can enjoy the benefits for free while others bear the cost. A private firm, which operates for profit, cannot force people to pay and would therefore be unable to cover its costs and make a profit. The link between the producer and the consumer through the payment process is broken. Consequently, the government must step in to provide these goods, financing them through compulsory taxes collected from the public.
Q2Questions
Distinguish between revenue expenditure and capital expenditure.
Solution
Revenue expenditure and capital expenditure are two components of the government's total expenditure, distinguished by their impact on the government's assets and liabilities.
Revenue Expenditure
- Definition: It is expenditure that neither creates any physical or financial assets nor causes a reduction in the liabilities of the government.
- Purpose: It is incurred for the normal functioning of government departments, provision of various services, interest payments on debt, and grants given to state governments and other parties.
- Nature: It is generally recurring in nature.
- Examples: Salaries and pensions of government employees, subsidies, interest payments on loans, and defence services expenditure.
Capital Expenditure
- Definition: It is expenditure that either leads to the creation of physical or financial assets or causes a reduction in the financial liabilities of the government.
- Purpose: It is an investment by the government that adds to the capital stock of the economy and is expected to yield benefits in the future.
- Nature: It is generally non-recurring in nature.
- Examples: Expenditure on the construction of roads, buildings, and machinery; investment in shares; and loans and advances given by the central government to state governments or Public Sector Undertakings (PSUs).
Q3Questions
'The fiscal deficit gives the borrowing requirement of the government'. Elucidate.
Solution
The statement 'The fiscal deficit gives the borrowing requirement of the government' is correct. The fiscal deficit is a measure of the shortfall in the government's total receipts compared to its total expenditure in a financial year.
The formula for fiscal deficit is:
Gross Fiscal Deficit = Total Expenditure – (Revenue Receipts + Non-debt creating Capital Receipts)
Here:
- Total Expenditure includes both revenue and capital expenditure.
- Revenue Receipts are receipts that do not create a liability, such as taxes and non-tax revenue.
- Non-debt creating Capital Receipts are capital receipts that do not involve borrowing, such as the recovery of loans or proceeds from the sale of PSU shares (disinvestment).
By definition, the fiscal deficit represents the portion of the government's expenditure that cannot be financed by its own revenue and non-debt creating receipts. To cover this gap, the government has no choice but to resort to borrowing. Therefore, the fiscal deficit is a direct indicator of the total amount of money the government needs to borrow from all sources during the financial year.
These sources of borrowing can be:
- Net borrowing at home (from the public via bonds, small savings schemes, and from commercial banks).
- Borrowing from the Reserve Bank of India (RBI).
- Borrowing from abroad.
Q4Questions
Give the relationship between the revenue deficit and the fiscal deficit.
Solution
The revenue deficit and the fiscal deficit are two important measures of government deficit, and they are closely related. The revenue deficit is a component of the fiscal deficit.
The relationship can be derived from their definitions:
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Revenue Deficit = Revenue Expenditure – Revenue Receipts It shows the shortfall of the government's current receipts over its current expenditure.
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Fiscal Deficit = Total Expenditure – (Revenue Receipts + Non-debt creating Capital Receipts)
We can expand the 'Total Expenditure' term in the fiscal deficit formula:
Fiscal Deficit = (Revenue Expenditure + Capital Expenditure) – (Revenue Receipts + Non-debt creating Capital Receipts)
By rearranging the terms, we can isolate the revenue deficit component:
Fiscal Deficit = (Revenue Expenditure – Revenue Receipts) + (Capital Expenditure – Non-debt creating Capital Receipts)
Therefore:
Fiscal Deficit = Revenue Deficit + (Capital Expenditure – Non-debt creating Capital Receipts)
This relationship shows that the revenue deficit is a part of the fiscal deficit. A large share of revenue deficit in the fiscal deficit is a cause for concern, as it indicates that a significant portion of the government's borrowing is being used to finance its consumption expenditure rather than for productive investment (capital expenditure).
Q5Questions
Suppose that for a particular economy, investment is equal to 200, government purchases are 150, net taxes (that is lump-sum taxes minus transfers) is 100 and consumption is given by (a) What is the level of equilibrium income? (b) Calculate the value of the government expenditure multiplier and the tax multiplier. (c) If government expenditure increases by 200, find the change in equilibrium income.
Solution
Given the information for the economy:
- Investment (I) = 200
- Government Purchases (G) = 150
- Net Taxes (T) = 100
- Consumption Function (C) = 100 + 0.75YD (Assuming Y in the question refers to disposable income YD, as is standard)
- Disposable Income (YD) = Y - T
a) Level of equilibrium income (Y)
At equilibrium, Aggregate Demand (AD) equals Income (Y).
AD = C + I + G
First, express C in terms of Y:
C = 100 + 0.75(Y - T)
C = 100 + 0.75(Y - 100)
C = 100 + 0.75Y - 75
C = 25 + 0.75Y
Now, set Y = AD:
Y = C + I + G
Y = (25 + 0.75Y) + 200 + 150
Y = 375 + 0.75Y
Y - 0.75Y = 375
0.25Y = 375
Y = 375 / 0.25
Y = 1500
The level of equilibrium income is 1500.
b) Government expenditure multiplier and tax multiplier
The marginal propensity to consume (c) is 0.75.
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Government Expenditure Multiplier = 1 / (1 - c) = 1 / (1 - 0.75) = 1 / 0.25 = 4
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Tax Multiplier = -c / (1 - c) = -0.75 / (1 - 0.75) = -0.75 / 0.25 = -3
c) Change in equilibrium income if government expenditure increases by 200
Change in Government Expenditure (ΔG) = 200
The change in equilibrium income (ΔY) is calculated as:
ΔY = Government Expenditure Multiplier × ΔG
ΔY = 4 × 200
ΔY = 800
The equilibrium income will increase by 800.
Q6Questions
Consider an economy described by the following functions: (a) Find the equilibrium level of income and the autonomous expenditure multiplier in the model. (b) If government expenditure increases by 30, what is the impact on equilibrium income? (c) If a lump-sum tax of 30 is added to pay for the increase in government purchases, how will equilibrium income change?
Solution
Given the functions for the economy:
- Consumption (C) = 20 + 0.80YD (Assuming Y in the question refers to disposable income YD)
- Investment (I) = 30
- Government Purchases (G) = 50
- Transfers (TR) = 100
- Lump-sum Tax (T) = 0 (initially)
- Disposable Income (YD) = Y - T + TR
a) Equilibrium level of income and the autonomous expenditure multiplier
First, express C in terms of Y:
YD = Y - 0 + 100 = Y + 100
C = 20 + 0.80(Y + 100)
C = 20 + 0.80Y + 80
C = 100 + 0.80Y
At equilibrium, Y = C + I + G:
Y = (100 + 0.80Y) + 30 + 50
Y = 180 + 0.80Y
Y - 0.80Y = 180
0.20Y = 180
Y = 180 / 0.20
Y = 900
The equilibrium level of income is 900.
Autonomous Expenditure Multiplier = 1 / (1 - c)
= 1 / (1 - 0.80)
= 1 / 0.20
= 5
b) Impact on equilibrium income if government expenditure increases by 30
Change in Government Expenditure (ΔG) = 30
Change in equilibrium income (ΔY) = Multiplier × ΔG
ΔY = 5 × 30
ΔY = 150
The equilibrium income will increase by 150. The new equilibrium income will be 900 + 150 = 1050.
c) Change in equilibrium income if a lump-sum tax of 30 is added
Here, government purchases increase by 30 (ΔG = 30) and are financed by an equal increase in lump-sum taxes (ΔT = 30). This is a case of the balanced budget multiplier.
The balanced budget multiplier is always equal to 1.
Change in equilibrium income (ΔY) = Balanced Budget Multiplier × ΔG
ΔY = 1 × 30
ΔY = 30
Equilibrium income will increase by 30 from its original level. The new equilibrium income will be 900 + 30 = 930.
Q7Questions
In the above question, calculate the effect on output of a 10 per cent increase in transfers, and a 10 per cent increase in lump-sum taxes. Compare the effects of the two.
Solution
Using the initial conditions from question 6:
- Marginal propensity to consume (c) = 0.80
- Initial Transfers (TR) = 100
- Initial Lump-sum Tax (T) = 0
1. Effect of a 10 per cent increase in transfers
- Increase in transfers (ΔTR) = 10% of 100 = 10.
- The transfer payment multiplier is calculated as c / (1 - c). Transfer Multiplier = 0.80 / (1 - 0.80) = 0.80 / 0.20 = 4.
- The change in output (ΔY) is: ΔY = Transfer Multiplier × ΔTR ΔY = 4 × 10 = 40. A 10 per cent increase in transfers will increase the output by 40.
2. Effect of a 10 per cent increase in lump-sum taxes
Since the initial lump-sum tax is 0, a 10% increase is not well-defined. We will assume the question means an increase in lump-sum taxes by an amount equal to 10% of the initial transfers, i.e., ΔT = 10.
- Increase in lump-sum tax (ΔT) = 10.
- The tax multiplier is calculated as -c / (1 - c). Tax Multiplier = -0.80 / (1 - 0.80) = -0.80 / 0.20 = -4.
- The change in output (ΔY) is: ΔY = Tax Multiplier × ΔT ΔY = -4 × 10 = -40. An increase in lump-sum taxes by 10 will decrease the output by 40.
Comparison of the Effects
- Direction: The two policies have opposite effects on the economy's output. An increase in transfers (an injection) increases equilibrium income, while an increase in taxes (a leakage) decreases it.
- Magnitude: The absolute magnitude of the change in income is the same (40) for a 10-unit change in both transfers and taxes. This is because both transfers and taxes affect aggregate demand indirectly through disposable income and consumption. The absolute value of the transfer multiplier (4) is equal to the absolute value of the tax multiplier (4).
Q8Questions
We suppose that (a) Find the equilibrium income. (b) What are tax revenues at equilibrium income? Does the government have a balanced budget?
Solution
Given the information for the economy:
- Consumption (C) = 70 + 0.70YD
- Investment (I) = 90
- Government Purchases (G) = 100
- Proportional Tax (T) = 0.10Y
- Disposable Income (YD) = Y - T
a) Find the equilibrium income (Y)
First, express YD and C in terms of Y:
YD = Y - T = Y - 0.10Y = (1 - 0.10)Y = 0.90Y
Now substitute this into the consumption function:
C = 70 + 0.70(0.90Y)
C = 70 + 0.63Y
At equilibrium, Y = C + I + G:
Y = (70 + 0.63Y) + 90 + 100
Y = 260 + 0.63Y
Y - 0.63Y = 260
0.37Y = 260
Y = 260 / 0.37
Y ≈ 702.70
The equilibrium income is approximately 702.70.
b) Tax revenues at equilibrium income and budget balance
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Tax Revenues (T): T = 0.10Y T = 0.10 × 702.70 T = 70.27 The tax revenue at equilibrium income is 70.27.
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Government Budget Balance: To check if the budget is balanced, we compare government expenditure (G) with tax revenue (T). Government Expenditure (G) = 100 Tax Revenue (T) = 70.27Since G (100) > T (70.27), government expenditure is greater than its revenue.No, the government does not have a balanced budget. It is running a budget deficit of 100 - 70.27 = 29.73.
Q9Questions
Suppose marginal propensity to consume is 0.75 and there is a 20 per cent proportional income tax. Find the change in equilibrium income for the following (a) Government purchases increase by 20 (b) Transfers decrease by 20 .
Solution
Given the information:
- Marginal propensity to consume (c) = 0.75
- Proportional income tax rate (t) = 20% = 0.20
First, we need to calculate the value of the relevant multipliers for an economy with a proportional income tax.
The multiplier for autonomous expenditure (like government purchases) is:
Multiplier = 1 / [1 - c(1 - t)]
= 1 / [1 - 0.75(1 - 0.20)]
= 1 / [1 - 0.75(0.80)]
= 1 / [1 - 0.60]
= 1 / 0.40
= 2.5
a) Government purchases increase by 20
Change in Government Purchases (ΔG) = 20
The change in equilibrium income (ΔY) is:
ΔY = Multiplier × ΔG
ΔY = 2.5 × 20
ΔY = 50
Equilibrium income will increase by 50.
b) Transfers decrease by 20
Change in Transfers (ΔTR) = -20
The multiplier for transfers in an economy with a proportional tax is:
Transfer Multiplier = c / [1 - c(1 - t)]
= 0.75 / [1 - 0.75(1 - 0.20)]
= 0.75 / [1 - 0.75(0.80)]
= 0.75 / [1 - 0.60]
= 0.75 / 0.40
= 1.875
The change in equilibrium income (ΔY) is:
ΔY = Transfer Multiplier × ΔTR
ΔY = 1.875 × (-20)
ΔY = -37.5
Equilibrium income will decrease by 37.5.