The Statistics Minister's 9 Percent Announcement
The national accounts office of a small open economy must publish 2023 GDP. Its survey data, in billions of dollars, show: households buy 420 of domestically produced consumer goods (a figure that already includes 1.5 of real-estate commissions on resold homes) and 80 of imported consumer goods; firms buy 150 of new machinery, of which 30 is imported; inventories rise by 10; new residential construction is 30; government buys 120 of goods and services and pays 45 in pensions and unemployment benefits; exports are 90 and imports total 110; a manufacturer uses 25 of steel in producing this year's output; existing homes are resold for 25; households buy 60 of shares from other households. Nominal GDP last year was 725, the 2023 GDP deflator is 110 with 2022 as the base year, and population grew 1.5 percent. Facing an election, the statistics minister plans to announce that 'the economy grew 9 percent this year, so the average family is 9 percent better off.'
1. Compute 2023 nominal GDP using the expenditure approach, and classify each item that is excluded and why.
Read the worked answer
Components. Consumption: 420 + 80 = 500 (imported consumer goods are counted in C and removed later through imports). Investment: 150 machinery + 10 inventory change + 30 residential construction = 190. Government purchases: 120, goods and services only. Net exports: 90 − 110 = −20.
GDP = 500 + 190 + 120 − 20 = 790.
Excluded items and reasoning. The 45 in pensions and unemployment benefits is a transfer: money is moved between taxpayers and recipients without any good or service being produced, so it is not a government purchase. The steel is an intermediate good; its value is already embedded in the final goods whose sale we counted, and adding it would double-count. The resale of the existing home is not current production - only the 1.5 commission for the real-estate service is counted, and it is already inside consumption. The 60 purchase of shares is a transfer of ownership of an existing asset, not spending on newly produced output; only the broker's fee would count.
Check. GDP is the market value of final goods and services produced domestically in the period, so every exclusion above follows from either the 'final' or the 'produced this year' requirement.
2. Compute real GDP, the real growth rate, and the change in real GDP per capita, and explain why the nominal figure misleads.
Read the worked answer
Real GDP. Real GDP = nominal GDP / (deflator/100) = 790 / 1.10 = 718.2.
Real growth. (718.2 − 725) / 725 = −0.0094, roughly −0.9 percent. Nominal GDP rose 790/725 − 1 = 9.0 percent, but prices rose 10 percent, so output actually fell slightly.
Per capita. Real GDP per capita is 718.2/1.015 = 707.6, versus 725 the year before, a decline of about 2.4 percent.
Why nominal misleads. Nominal GDP mixes quantity and price changes. If the deflator rises faster than nominal output, real output has fallen even though the headline number is larger. The deflator is the right price index here because it covers domestically produced output; the CPI would include imports and exclude exported goods, so it answers a different question. The arithmetic also shows the compounding of two effects: real output fell about 1 percent and population rose 1.5 percent, and the two together turn a '9 percent growth' headline into a decline in the average material standard of living.
3. Evaluate the minister's claim that a 9 percent nominal growth rate means the average family is 9 percent better off.
Read the worked answer
The claim fails on at least four counts, and the first two are arithmetic rather than philosophical.
Prices and population. Real output fell about 0.9 percent and real GDP per capita fell about 2.4 percent. The 'average family' is smaller in real per-person terms, not 9 percent larger.
Distribution. GDP per capita is a mean, not a median. If the gains accrued to a narrow group - exporters, capital owners - the typical household could be worse off while the average rises. The accounts here contain no information on the distribution, so no claim about the average family follows.
Composition and quality. Defence spending, cleanup of an industrial accident, and spending on commuting all raise GDP, but they are not obviously welfare. Conversely, GDP omits household production, childcare, and leisure, and it does not adjust for pollution or resource depletion. A rise in output produced by working longer hours is not a pure gain.
Measurement error. Statistical agencies revise GDP repeatedly, and the informal sector is poorly captured in a small open economy.
A defensible statement would be narrower: nominal domestic output rose 9 percent, prices rose 10 percent, and measured real output per person fell about 2.4 percent, subject to revision.