AP Macroeconomics · Unit 2 · Topic 2.6

Real vs. Nominal GDP Study Lab

Nominal GDP values output at the prices of the year it was produced, so it rises when prices rise even if the economy makes nothing extra. Real GDP values every year's output at the same base-year prices, so it changes only when output changes. Edit the prices and quantities for a small economy, then follow each calculation step by step.

1. GDP calculator

A small economy produces a few final goods over three years. Every number in the table is editable. The chart and the work update as you type.

Nominal and real GDP base year: Year 1

Show your work

Nominal GDP (current prices)Real GDP (base-year prices)Gap from price changes
Try a scenario
Base year (its prices value every year's output)
Nominal GDP
Real GDP
GDP deflator
Real GDP growth

2. Key ideas

Current P × current Q

Nominal GDP

The value of final goods and services at the prices of the year they were produced. It can rise because output rose, because prices rose, or both. Taken alone, a rise in nominal GDP does not tell you the economy made more.

Base-year P × current Q

Real GDP

The value of the same output at constant base-year prices. Prices are held fixed, so real GDP changes only when quantities change. That is why economists use real GDP to measure output and economic growth.

Nominal ÷ real × 100

GDP deflator

A price index for everything counted in GDP. It equals 100 in the base year, where nominal and real GDP are the same. A deflator of 125 means prices are 25% higher than in the base year. The percentage change in the deflator is a measure of inflation.

Real = nominal ÷ deflator × 100

Deflating nominal GDP

If you know nominal GDP and the deflator, divide to remove the price effect. Nominal GDP of $1,500 with a deflator of 120 is real GDP of $1,250 in base-year dollars.

Deflator vs. CPI

Two price indexes

The GDP deflator covers all final goods and services produced domestically, including investment goods and government purchases, and leaves out imports. The CPI tracks a fixed basket of goods bought by consumers, and that basket includes imports. A rise in the price of imported cars raises the CPI but not the deflator.

Real GDP ÷ population

Real GDP per capita

Real GDP per person is the usual measure of the average standard of living. If population grows faster than real GDP, real GDP per capita falls even though total output rose.

3. Worked example

An economy produces pens and notebooks. The base year is Year 1. Cover the right-hand columns and work each row yourself, then check. This is the same problem as the "Two-good AP problem" scenario above.

YearPens (P × Q)Notebooks (P × Q)Nominal GDPReal GDP (Year 1 prices)GDP deflatorReal GDP growth
1 (base)$1 × 200$4 × 50200 + 200 = $4001×200 + 4×50 = $400400 ÷ 400 × 100 = 100none (first year)
2$2 × 220$5 × 55440 + 275 = $7151×220 + 4×55 = $440715 ÷ 440 × 100 = 162.5(440 − 400) ÷ 400 = +10.0%
3$3 × 210$6 × 50630 + 300 = $9301×210 + 4×50 = $410930 ÷ 410 × 100 = 226.8(410 − 440) ÷ 440 = −6.8%

In Year 3, nominal GDP rose 30.1% while real GDP fell 6.8%. Output fell; higher prices hid the drop. Inflation from Year 2 to Year 3, measured by the deflator, was (226.8 − 162.5) ÷ 162.5 × 100 ≈ 39.6%.

QuestionGDP deflatorConsumer price index (CPI)
Which goods are covered?All final goods and services produced domestically (C, I, G, and exports)A fixed market basket bought by a typical urban household
Imports?Not included (they are not produced domestically)Included if consumers buy them
Capital goods and government purchases?IncludedNot included
How it is foundNominal GDP ÷ real GDP × 100Cost of basket this year ÷ cost in base year × 100
Base year value100100

4. On the FRQ

How to earn the points

  • Write the formula, then the numbers, then the answer: "Real GDP = (nominal GDP ÷ GDP deflator) × 100 = (1,500 ÷ 120) × 100 = $1,250."
  • For real GDP from a table, multiply this year's quantities by base-year prices, then add across goods.
  • Growth rate = (new − old) ÷ old × 100. Divide by the earlier year's value.
  • When asked whether the economy produced more, answer with real GDP and say why: "Real GDP holds prices constant, so it changes only when output changes."
  • Quick check: real GDP growth ≈ nominal GDP growth − inflation rate. Use it to catch arithmetic slips; show the exact calculation when the question gives full data.
  • In the base year, state that the deflator is 100 and nominal GDP equals real GDP.

Common mistakes

  • Using current-year prices for real GDP. Real GDP always uses base-year prices.
  • Flipping the deflator: it is nominal ÷ real × 100. If prices have risen since the base year, the deflator is above 100 and nominal GDP is above real GDP.
  • Saying output grew because nominal GDP rose. Nominal GDP can rise while real GDP falls.
  • Dividing by the new year in a growth rate. The denominator is the starting year.
  • Putting imports into the GDP deflator. The deflator covers domestic production only; the CPI includes imported consumer goods.
  • Treating total real GDP as the standard of living. Divide by population: real GDP per capita.

5. Practice questions

AP-style multiple choice. Pick an answer to see the explanation.

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6. Key terms

The vocabulary for topic 2.6. Read the list, flip through flashcards, or quiz yourself. For every term in the unit, see the Unit 2 terminology guide.