Base-Weighted Index

An index number that measures change using weights fixed in a chosen base period.

Base-weighted index means an index number that keeps the weights from a chosen base period fixed while prices or quantities in later periods change.

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How it works

For a price index, the standard base-weighted form is the Laspeyres-style expression:

$$ I_t = \frac{\sum_i p_{it} q_{i0}}{\sum_i p_{i0} q_{i0}} \times 100 $$

The base-period quantities (q_{i0}) stay fixed, so the index asks: how much would the original basket cost at today’s prices relative to the base period?

Why economists use it

Fixing the weights makes historical comparison easy. Statistical agencies can compare many later periods to one common reference basket without changing the calculation each time.

That stability is useful for:

  • inflation measurement,
  • cost-of-living comparisons,
  • deflating nominal values into real values.

Main limitation

Because the basket is fixed, a base-weighted index can overstate price growth when households substitute away from goods that become relatively expensive. That substitution bias is one reason economists compare base-weighted, current-weighted, and chain-weighted measures.

Practical example

If bread and fuel had large shares in the base year, then later price increases in those goods continue to carry the old weights even if households have since changed what they buy. The index is still useful, but it measures price change relative to the old basket, not the current one.

Knowledge Check

### What makes a base-weighted index "base-weighted"? - [x] It keeps the weights from the base period fixed - [ ] It updates the weights every month - [ ] It ignores quantities completely - [ ] It measures only nominal GDP > **Explanation:** The defining feature is that the weights come from the reference period and do not move with current consumption patterns. ### Why can a base-weighted price index overstate inflation? - [x] Because consumers may substitute away from goods whose prices rise sharply - [ ] Because it always excludes services - [ ] Because it uses current-period quantities - [ ] Because it sets all weights equal to one > **Explanation:** A fixed basket does not fully capture substitution, so it can make the cost increase look larger than the increase consumers actually face after adjusting their purchases. ### Which real-world measure is commonly built in a base-weighted style? - [x] Consumer price index - [ ] Unemployment rate - [ ] Balance sheet - [ ] Exchange-rate regime > **Explanation:** Many headline inflation measures begin from a fixed-basket logic, even if agencies later update or chain the weights.