AP® Macroeconomics · Unit 2 · Topic 2.4
Building a Price Index from a Market Basket
A price index tracks the cost of one fixed basket of goods over time and compares it to a base year set at 100, giving a single number that summarizes how the overall price level is moving.
Tracking every price in an economy is impossible and pointless — a bushel of wheat and a laptop don't move together, and no one buys just one of anything. So instead, statisticians fix a market basket: a representative bundle of goods and services households actually buy, in fixed quantities. Because the basket never changes, any change in its total cost comes from price changes alone, not from people buying more or less stuff. That isolation is the whole point.
To turn that basket into a usable number, pick a base year and call its basket cost the benchmark, assigned a value of 100. Then for any other year, the formula is: CPI = (cost of basket in current year / cost of basket in base year) x 100. The base year's own CPI is always 100 by definition. Every other year's CPI tells you, in one glance, how the price level compares to that benchmark — no unit conversions, no guessing.
This index feeds directly into the inflation rate, which is just the percent change in CPI from one year to the next, and into real versus nominal comparisons elsewhere in the unit. Get the index right and inflation, real income, and real GDP calculations all follow cleanly; get the base-year logic wrong and every downstream number is misread.
Key terms
- Market basket
- A fixed collection of goods and services, in set quantities, used to track price changes over time.
- Base year
- The reference year whose basket cost is set equal to an index value of 100.
- Consumer Price Index (CPI)
- An index measuring the cost of a fixed market basket in a given year relative to its cost in the base year, times 100.
- Price level
- The overall average of prices in an economy at a given time, summarized by an index like the CPI.
Watch it explained
- How it worksHow does a basket of goods turn into a single index number pinned to a base year?
- Worked exampleFind the CPI in year two when the basket costs 250 dollars in the base year and 275 in year two.
- Common mistakeWhy doesn't a CPI of 130 mean things cost 130 percent more than in the base year?
- Going furtherWhat changes about the index when the base year is moved to a different year?
Check yourself
End of topic.