What is the formula for the Laspeyres price index (where o denotes base year and n denotes given year)?
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Answer: C. P = ∑Pnqo/∑poqo
Explanation
The Laspeyres price index uses base-year quantities as weights, represented by comparing current prices to base quantities. This index formula multiplies current year prices by base year quantities summed across all items. Dividing this sum by base year prices times base year quantities yields the standard Laspeyres index value. Price indices measure the average change in prices of goods and services over time relative to a base period. Base-year weighting tends to overestimate inflation because consumers substitute away from goods whose prices rise. Staticians rely on index formulas to calculate consumer price inflation and cost-of-living adjustments.
Economists use the Laspeyres index widely because it requires quantity data from only the base period. Central bankers analyze price index movements to evaluate purchasing power erosion and adjust monetary policies. Understanding index formulas is essential for accurate macroeconomic reporting and cost-of-living calculations. Using identical numerator and denominator weights produces a trivial ratio rather than a valid price index. Inverting current and base components violates the standard mathematical structure of price index weightings. Altering quantity weighting years changes the index formulation into alternative measures like the Paasche index.
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