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Real vs Nominal GDP: Deflators, Base Years and Chain Weighting

When nominal GDP rises by 5%, some of that is more output and some is higher prices. Real GDP is the measure that separates the two, and it can be built two ways: divide nominal GDP by a price index, or value this year's output at an earlier year's prices. Both look simple, and both hide a choice — which prices, from which year — that changes the answer. This guide works through both methods with real and invented numbers and explains why official statistics now use chains instead of a fixed base year.

Nominal GDP counts prices as well as output

Nominal GDP values everything produced in a period at the prices of that period. If an economy produces exactly the same goods as last year but every price is 3% higher, nominal GDP rises by 3% although nothing more was made. Real GDP holds prices fixed so that it moves only when the quantity of output moves.

The ratio of the two is the GDP deflator, a price index for everything the economy produces: deflator = nominal GDP ÷ real GDP × 100. Turn it around and real GDP is nominal GDP divided by the deflator, times 100.

Real GDP = nominal GDP ÷ deflator × 100 Deflator = nominal ÷ real × 100

The deflator method, with this year's US figures

In the second quarter of 2026, US nominal GDP ran at an annual rate of $32,486.1 billion and the GDP deflator stood at 133.855, with 2017 = 100. Dividing gives real GDP of $24,269.6 billion in 2017 dollars — the figure the Bureau of Economic Analysis publishes, to rounding.

The difference, about $8.2 trillion, is not missing output: it is the rise in the prices of US output since 2017. The real GDP calculator runs the same division for any nominal figure and index.

Worked example

Nominal = 32,486.1, deflator = 133.855

Real = 32,486.1 ÷ 133.855 × 100

Real = 24,269.6 ($ billions, 2017 prices)

Two stacked bars: nominal GDP of 7,720 (loaves 2,500, shirts 3,300, phones 1,920) and real GDP of 7,000 (2,000, 3,000, 2,000).
FigureThe quantities are identical; only the prices differ. Valued at base-year prices the same output is 7,000, so prices are 10.3% higher overall even though phones got cheaper.

The base-year method: value this year's quantities at old prices

Without a price index, real GDP comes straight from quantities. Take three goods: 1,000 loaves at $2.50 (they cost $2.00 in the base year), 300 shirts at $11 (base $10), and 80 phones at $24 (base $25). Nominal GDP values them at this year's prices; real GDP at the base year's.

Nominal GDP is 2,500 + 3,300 + 1,920 = 7,720; real GDP is 2,000 + 3,000 + 2,000 = 7,000; the implied deflator is 7,720 ÷ 7,000 × 100 = 110.3. Prices are about 10% above the base year overall, even though one of the three goods became cheaper.

Nominal = Σ p₁q₁ Real = Σ p₀q₁

Worked example

Nominal = 2.5×1,000 + 11×300 + 24×80 = 7,720

Real = 2×1,000 + 10×300 + 25×80 = 7,000

Deflator = 7,720 ÷ 7,000 × 100 = 110.3

The base year changes the growth rate

Which year's prices you use is not a neutral choice. Goods whose prices have fallen fast — computers are the classic case — tend to be the ones whose quantities have grown fastest. Valued at old, high prices, their growth gets a large weight and total real growth looks faster; valued at new, low prices, it looks slower.

So a fixed-base series drifts: the further you move from the base year, the more it overstates growth when relative prices have changed. Rebasing a fixed-weight series to a new year leaves past growth rates unchanged. Rebasing can change measured growth for years well before the new base.

Chained dollars solve the drift

Since 1996 the United States has measured real GDP with chain-type indices. Instead of one base year for all time, each year's growth is computed using prices from both that year and the one before, and the yearly growth rates are chained together. The reference year — currently 2017 — only sets the units, which is why the series is quoted in chained 2017 dollars.

The price of chaining is that real components no longer add up exactly to real GDP, and chained dollars should not be summed across components. For shares of output, use nominal figures; for growth, use the chained series.

Deflator or CPI: which index belongs in the division

The GDP deflator covers everything produced at home, including investment goods, government services and exports, and excludes imports. The consumer price index covers a basket of consumer purchases, including imported ones, and nothing else.

Dividing nominal GDP by the CPI gives output measured in consumer purchasing power — useful for some comparisons, but not official real GDP. The two indices diverge when import prices, investment-goods prices or government pay move differently from consumer prices.

Common mistakes

  • Dividing by the deflator without multiplying by 100. A deflator of 133.9 is an index; the division needs 1.339, so multiply the result by 100.
  • Comparing nominal GDP across years as if it were output. A 5% rise in nominal GDP with 3% inflation is about 2% real growth, not 5%.
  • Using the CPI and calling the result official real GDP. The official measure uses the GDP deflator's chained prices.
  • Adding chained-dollar components. In a chained series, real consumption plus real investment and so on does not equal real GDP exactly.

When not to rely only on the calculator

Try it with your own numbers

Open the Real GDP Calculator to run this calculation for your own situation — the formula and assumptions are shown on the page.

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Frequently asked questions

How do you convert nominal GDP to real GDP?

Divide nominal GDP by the GDP deflator and multiply by 100. With a deflator of 125, nominal GDP of 20,000 is real GDP of 16,000 in base-year prices.

What is the difference between real and nominal GDP?

Nominal GDP uses current prices and rises with inflation; real GDP uses constant prices and changes only when the quantity of output changes.

Why does the base year matter?

Because relative prices change. Goods that became cheaper often grew fastest, and valuing them at old prices overstates growth; chain-weighting avoids that drift.

What are chained 2017 dollars?

The units of the US real GDP series. Growth is computed year by year with adjacent-year prices and chained, and 2017 is the reference year that sets the dollar units.

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Created and maintained by Jay Sudha · Last reviewed 22 September 2026.

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Educational estimate only. Not financial, tax, legal, investment, or professional advice.