The 11% Headline: Reading a State's Income Estimates
A state statistical cell is finalising its income estimates for the year. Its worksheet shows nominal GDP at market price of ₹9,32,400 crore, up 11.0% from ₹8,40,000 crore a year earlier, while the real growth estimate is only 4.2%. Depreciation is estimated at ₹96,000 crore, net factor income from abroad is −₹28,000 crore, and net indirect taxes are ₹72,000 crore. Population grew 1.1%. About 45% of gross value added comes from informal enterprises whose output is extrapolated from an old base-year survey, and the cell has no reliable quarterly data for them. A newspaper headline reads 'GDP up 11%, state booming'. A legislator asks why, if GDP rose 11%, households feel no richer, and whether residents are actually better off. The cell must also decide which figure it should quote when comparing this year with the previous year in its official release.
1. Compute the GDP deflator and real GDP for the year. Explain what the gap between the 11.0% and 4.2% figures represents, and state which of the two numbers may legitimately be compared with last year's ₹8,40,000 crore.
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Step 1 - put both years on the same price base. Real GDP = base-year-price value of this year's output = ₹8,40,000 crore × 1.042 = ₹8,75,280 crore.
Step 2 - deflator. GDP deflator = (nominal GDP ÷ real GDP) × 100 = (9,32,400 ÷ 8,75,280) × 100 ≈ 106.5.
Cross-check: 1.110 ÷ 1.042 = 1.065, so prices of domestically produced output rose about 6.5% over the year. The arithmetic is internally consistent.
What the gap means. Nominal GDP is a value measure - price × quantity. The 11% rise splits into roughly 6.5% price change and 4.2% quantity change, with a small interaction term. Only the 4.2% is a genuine increase in output; the rest is the same goods and services being valued at higher prices.
Which number to quote. The ₹9.32 lakh crore figure can only be compared with ₹8.75 lakh crore (this year's output at last year's prices). Comparing ₹9.32 lakh crore with ₹8.40 lakh crore and calling the difference 'growth' is a price illusion. Any level comparison across years, and any ratio built on GDP (tax/GDP, deficit/GDP, per capita income), should use the real series or a consistent nominal series - never a mixture.
2. Using the worksheet, compute GNP at market price, NNP at market price and NNP at factor cost. Then judge whether real per capita income rose, and by roughly how much.
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Aggregates (all at current prices, ₹ crore):
| Aggregate | Working | Value |
|---|---|---|
| GDP at market price | given | 9,32,400 |
| GNP at market price | GDP(MP) + NFIA = 9,32,400 + (−28,000) | 9,04,400 |
| NNP at market price | GNP(MP) − depreciation = 9,04,400 − 96,000 | 8,08,400 |
| NNP at factor cost | NNP(MP) − net indirect taxes = 8,08,400 − 72,000 | 7,36,400 |
Why the order matters. Depreciation is capital consumed in producing the output, so it must be deducted before the figure can be called income available for consumption. Net indirect taxes must then be removed because they are not factor incomes - they drive a wedge between what buyers pay and what the factors of production receive.
Real per capita income. Real GDP rose 4.2%; population rose 1.1%. Real per capita GDP index ≈ 104.2 ÷ 101.1 = 1.031, i.e. about 3.1% higher. (Converting nominal NNP at factor cost by the 106.5 deflator gives roughly ₹6.91 lakh crore, but that is an approximation, since the deflator was computed on GDP, not on NNP.)
Judgement. Income per head did rise, but by about 3%, not 11%. That already explains part of the legislator's complaint: a household's experience tracks real income per person, not the nominal total.
3. The legislator asks: 'Are the state's residents better off?' Which single aggregate should the cell put in front of her, and what caveats must accompany it given the informal sector and negative NFIA?
Read the worked answer
The aggregate to lead with: real NNP at factor cost per capita. NNP because depreciation is not income; factor cost because it measures what residents actually receive as wages, rent, interest and profit; real because welfare comparisons require constant prices; per capita because population grew 1.1% and the question is about people, not territory.
Caveat 1 - GNP versus GDP. NFIA is negative (−₹28,000 crore). Production inside the state's borders exceeds income accruing to its residents, because factor payments flow out. Quoting GDP overstates residents' income; the GNP-based figure is ₹28,000 crore lower before any other adjustment. If remittances into the state are large and profit repatriation larger, the direction of this correction should be checked item by item.
Caveat 2 - the 45% informal block. Nearly half of value added is extrapolated from an old base-year survey with no current quarterly data. The 4.2% real growth is therefore an estimate with a real margin of error; it is not a measurement of the kind available for the formal corporate sector. Unincorporated enterprises also blur the production boundary (home-produced services, own-account construction), so coverage, not just accuracy, is at issue.
Caveat 3 - what the aggregate cannot say. NNP per capita says nothing about distribution, non-market welfare (health, environment, congestion, unpaid care work) or price changes faced by poor households, whose consumption basket differs from the GDP deflator basket.
Verdict to present: quote real per-capita NNP at factor cost with an explicit uncertainty margin, and explicitly retract the '11%' framing - it is a nominal total, not a welfare or even an output statement.