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Applied Mathematics · Ch 8 — Index Numbers and Time-based Data

Relative Index Number

8.4.1

Relative Index Number

A relative index number (or price relative) measures the price change of a single commodity between the base period and the current period, expressed as a percentage:

P=p1p0×100P = \dfrac{p_1}{p_0} \times 100

where p0p_0 is the price in the base period and p1p_1 is the price in the current period. Relative index numbers are the building block for the group-level methods that follow — when several commodities need to be tracked together instead of just one, those relatives are co …