Understanding the GDP deflator calculator — concept and principle
This calculator finds the GDP deflator, the broad price index of everything produced in an economy, from nominal and real GDP. It also shows the price level change since the base year, inflation since the previous year and the price effect in money. Use it for macroeconomics homework, converting between nominal and real GDP and comparing the deflator with consumer price inflation.
How it is calculated
- GDP deflator = nominal GDP ÷ real GDP × 100.
- Price change since the base year = deflator − 100 (%).
- Inflation since the previous year = (deflator this year ÷ deflator last year − 1) × 100.
- Price effect = nominal GDP − real GDP.
The principle
Nominal GDP values output at current prices; real GDP values the same output at base-year (or chained) prices. The ratio between them isolates the effect of price changes. In the base year the deflator is 100. Unlike a consumer price index, the deflator covers everything produced at home, including investment goods and government purchases, and excludes imports, and its basket changes automatically with what the economy produces.
Worked example
Default inputs: nominal GDP 24,000, real GDP 20,000, previous deflator 116.5.
- Deflator = 24,000 ÷ 20,000 × 100 = 120.
- Prices are 20% higher than in the base year.
- Inflation since the previous year = 120 ÷ 116.5 − 1 ≈ 3%.
- Price effect = 24,000 − 20,000 = 4,000.
| Real GDP (base-year or chained prices) | GDP deflator |
|---|---|
| 5,000 | 480 |
| 10,000 | 240 |
| 15,000 | 160 |
| 20,000 | 120 |
| 25,000 | 96 |
| 30,000 | 80 |
| 40,000 | 60 |
How to read the result
A deflator of 120 means the general price level of domestic output is 20% above the base year. Year-to-year changes give a broad measure of inflation. It can differ from CPI inflation because import prices, such as oil for a country that imports it, affect CPI but not the deflator, while investment-goods prices affect the deflator but not CPI.
Common mistakes
- Swapping nominal and real GDP.
- Comparing deflators with different base years.
- Treating the deflator as a measure of the cost of living.
- Forgetting to multiply by 100.
Frequently asked questions
What is the difference between the GDP deflator and CPI?
The deflator covers all domestic production; CPI covers a fixed basket of consumer goods, including imports.
How do I convert nominal GDP to real GDP?
Real GDP = nominal GDP ÷ deflator × 100.
Why is the deflator 100 in the base year?
In the base year nominal and real GDP are valued at the same prices.
Sources: U.S. Bureau of Economic Analysis, Glossary: "Implicit price deflator (IPD)"