CSEET · Economic and Business Environment
National Income Accounting and Related Concepts: formula sheet
Key formulas
- Two-sector equilibrium (simple)
- Y = C
- With no saving, all income is spent on consumption. Income equals expenditure equals output.
- Two-sector with saving and investment
- Y = C + S (income side); Y = C + I (expenditure side); equilibrium when S = I
- Saving is the leakage; investment is the injection.
- Three-sector equilibrium
- S + T = I + G
- T is taxes (net of transfers in simple models), G is government expenditure.
- Four-sector equilibrium
- S + T + M = I + G + X
- M is imports (leakage), X is exports (injection).
- Aggregate expenditure, four sectors
- Y = C + I + G + (X − M)
- (X − M) is net exports.
- GNP from GDP
- GNP = GDP + Net Factor Income from Abroad (NFIA)
- NFIA = factor income received from abroad − factor income paid abroad. It can be negative.
- Net from gross
- NDP = GDP − Depreciation; NNP = GNP − Depreciation
- Depreciation is also called consumption of fixed capital.
- Market price and factor cost
- Market price = Factor cost + Net indirect taxes
- Net indirect taxes = indirect taxes − subsidies. So factor cost = market price − net indirect taxes.
- National income
- National income = NNP at factor cost = NNP at market price − Net indirect taxes
- Also written NNP at FC.
- Full chain
- NNP at FC = GDP at MP + NFIA − Depreciation − Net indirect taxes
- Use this when the question gives many items.
- Real GDP
- Real GDP = Σ (base-year price × current-year quantity)
- Price is fixed at the base year, so only quantity changes the value.
- GDP deflator
- GDP deflator = (Nominal GDP ÷ Real GDP) × 100
- Base-year value is 100. Real GDP = (Nominal GDP ÷ Deflator) × 100.
- Value added
- Value added = Value of output − Intermediate consumption
- Value of output = sales + change in stock. Use gross or net depending on whether depreciation is deducted.
- Product method
- GDPmp = Σ Gross value added of all sectors
- Gross value added at market price = value of output − intermediate consumption.
- Income method
- NDPfc = Compensation of employees + Operating surplus + Mixed income
- Operating surplus = rent + interest + profit (including royalty).
- Expenditure method
- GDPmp = C + I + G + (X − M)
- C = private final consumption, I = gross investment, G = government consumption, X − M = net exports.
- GDP at factor cost
- GDPfc = GDPmp − Net indirect taxes
- Net indirect taxes = indirect taxes − subsidies.
- Net domestic product
- NDP = GDP − Depreciation
- Depreciation is also called consumption of fixed capital.
- National income
- NNPfc = NDPfc + Net factor income from abroad
- Net factor income from abroad = factor income received from abroad − factor income paid abroad.
- Net exports
- Net exports = Exports − Imports
- Can be negative.
- Personal income
- PI = National Income − Undistributed profits − Corporate tax − Social security contributions + Transfer payments
- National Income here means NNP at factor cost. Transfer payments include pensions, scholarships and unemployment allowance. Some questions also ask you to add or subtract only the items given.
- Disposable income
- DI = PI − Personal direct taxes
- Personal direct taxes mean taxes such as income tax. Some textbooks also deduct fines and fees paid to government, but deduct them only if the question gives them.
- Uses of disposable income
- DI = Consumption + Saving
- Use this to find saving if consumption is given, or the reverse.
- Per capita income
- Per capita income = National Income ÷ Population
- Keep units consistent. If income is in ₹ crore and population in lakh, convert before dividing.
- Per capita income
- Per capita income = National income ÷ Population
- An average only. It does not show how income is shared among people.
- Real GDP
- Real GDP = (Nominal GDP ÷ Price index) × 100
- Used to remove the effect of price changes when comparing years.
Quick revision
- Circular flow: households supply factors to firms and receive income; firms supply goods and services and receive spending.
- GDP is the value of final goods and services produced within a country's domestic territory in a year.
- GNP = GDP + net factor income from abroad.
- Net measures = gross measure − depreciation (consumption of fixed capital).
- Market price to factor cost: subtract net indirect taxes (indirect taxes − subsidies).
- National income is NNP at factor cost.
- Product method adds value added at each stage, which avoids double counting of intermediate goods.
- Income method adds factor incomes: wages, rent, interest and profit, plus mixed income.
- Expenditure method adds consumption, investment, government spending and net exports.
- Transfer payments such as pensions and scholarships and sale of second-hand goods are not counted in national income.
- Per capita income = national income ÷ population.
- Limitations include the informal sector, unpaid work, black money, and no measure of welfare or distribution.
Common mistakes
- Treating saving as a leakage in the simple two-sector model with no saving. Fix: Check the assumptions. If households spend all income, there is no leakage and Y = C.
- Calling imports an injection or exports a leakage. Fix: Think from the domestic economy. Exports bring foreign money in (injection). Imports send money abroad (leakage).
- Saying GDP includes only income of Indian citizens. Fix: GDP is about location: produced within the territory. GNP is about residents. Remember GNP = GDP + NFIA.
- Adding subsidies and subtracting only indirect taxes, or the reverse, when moving to factor cost. Fix: Buyers pay taxes on top and subsidies lower the price. So factor cost = market price − indirect taxes + subsidies, which is market price − net indirect taxes.
- Adding the value of intermediate goods to final output Fix: Count only final goods, or use value added. Ask: is this used up in making another product?
- Including transfer payments such as pension, scholarship or old-age allowance Fix: Leave out any payment made without a good or service in return. No new output is created.
- Subtracting transfer payments instead of adding them to get personal income. Fix: Remember that transfers reach households without being earned from production, so they are added to national income.
- Using GDP or NDP at market price as the starting point for PI. Fix: First convert to NNP at factor cost, which is national income, and then start the PI adjustments.
- Writing only limitations when the question asks for uses, or the reverse. Fix: Underline the key word first and answer exactly that. Add a short balancing line only at the end.
- Saying GDP measures welfare directly. Fix: State that GDP measures output, and is only a rough indicator of welfare because it ignores distribution and environment.
Exam tips
- For a 'discuss' question, draw a neat diagram with arrows and label each flow. A clear diagram earns easy marks.
- Always name leakages and injections for the model asked. Do not bring in sectors the question has not mentioned.
- In numeric questions, show the sum of each side before comparing. Marks are given for steps.
- Write the one-line equilibrium condition at the end, then state what happens to income if it is not met.
- For the difference between GDP and GNP, write four points: basis (territory or residents), formula, treatment of NFIA, and an example.
- In numericals, write the formula line first. Marks are often given for the method even if arithmetic slips.
- Show net indirect taxes as a separate line before converting to factor cost.
- Define nominal and real GDP with a small numeric example. It earns more than definitions alone.