Here are the calculations for the given problems.
1. National Income Aggregates for Nigeria in 1984
Given data (in million N):
- Consumption expenditure (C) = 50
- Government expenditure (G) = 27.50
- Investment expenditure (I) = 20.75
- Exports (X) = 22.50
- Imports (M) = 21.75
- Taxes (T) = 9.00
- Capital consumption (depreciation) (D) = 16.20
- General subsidy (S) = 0.75
- Net factor income from abroad (NFIA) = 20.25
- Total Population = 100 million people
a. GDP at market prices and factor cost
Step 1: Calculate GDP at Market Prices (GDPMP).
GDPMP=C+G+I+(X−M)
GDPMP=50+27.50+20.75+(22.50−21.75)
GDPMP=50+27.50+20.75+0.75
GDPMP=99 million N
Step 2: Calculate GDP at Factor Cost (GDPFC).
GDPFC=GDPMP−Taxes+Subsidies
GDPFC=99−9.00+0.75
GDPFC=90.75 million N
- GDP at market prices: 99millionN
- GDP at factor cost: 90.75millionN
b. GNP at market prices and factor cost
Step 3: Calculate GNP at Market Prices (GNPMP).
GNPMP=GDPMP+NFIA
GNPMP=99+20.25
GNPMP=119.25 million N
Step 4: Calculate GNP at Factor Cost (GNPFC).
GNPFC=GDPFC+NFIA
GNPFC=90.75+20.25
GNPFC=111 million N
- GNP at market prices: 119.25millionN
- GNP at factor cost: 111millionN
c. NNP at market prices and factor cost
Step 5: Calculate NNP at Market Prices (NNPMP).
NNPMP=GNPMP−Depreciation
NNPMP=119.25−16.20
NNPMP=103.05 million N
Step 6: Calculate NNP at Factor Cost (NNPFC).
NNPFC=GNPFC−Depreciation
NNPFC=111−16.20
NNPFC=94.80 million N
- NNP at market prices: 103.05millionN
- NNP at factor cost: 94.80millionN
d. Per capita income
Step 7: Calculate Per Capita Income.
Per Capita Income=TotalPopulationNNPFC
Per Capita Income=100millionpeople94.80millionN
Per Capita Income=0.948 N per person
- Per capita income: 0.948N
e. State the method used.
Step 8: Identify the method.
The primary method used for calculating GDP is the Expenditure Method. Subsequent calculations involve adjustments for net factor income from abroad, depreciation, and net indirect taxes.
- Method used: Expenditure Method
2. Consumption Function and Macroeconomic Aggregates
Given:
- Consumption function: C=500+0.9Y
- Planned Investment (I) = 600
a. If national income is N3,000, calculate Consumption and Savings.
Step 1: Calculate Consumption (C).
C=500+0.9Y
C=500+0.9(3000)
C=500+2700
C=3200
Step 2: Calculate Savings (S).
S=Y−C
S=3000−3200
S=−200
- Consumption: N3,200
- Savings: −N200
b. If national income increases from N3,000 to N4,000 and consumption increases from N2,600 to N3,200, calculate:
Step 3: Calculate Marginal Propensity to Consume (MPC).
ΔY=4000−3000=1000
ΔC=3200−2600=600
MPC=ΔYΔC
MPC=1000600
MPC=0.6
Step 4: Calculate Marginal Propensity to Save (MPS).
MPS=1−MPC
MPS=1−0.6
MPS=0.4
- Marginal Propensity to Consume (MPC): 0.6
- Marginal Propensity to Save (MPS): 0.4
c. Determine the break-even level of income.
Step 5: Calculate the break-even level of income (where Y=C).
Y=C
Y=500+0.9Y
Y−0.9Y=500
0.1Y=500
Y=0.1500
Y=5000
- Break-even level of income: N5,000
d. Determine the equilibrium level of national income in the economy.
Step 6: Calculate the equilibrium level of national income (where Y=C+I).
Y=C+I
Y=(500+0.9Y)+600
Y=1100+0.9Y
Y−0.9Y=1100
0.1Y=1100
Y=0.11100
Y=11000
- Equilibrium level of national income: N11,000
Send me the next one 📸