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All superlative indices produce similar results and are generally the favored formulas for calculating price indices. [14] A superlative index is defined technically as "an index that is exact for a flexible functional form that can provide a second-order approximation to other twice-differentiable functions around the same point." [15]
A price index (plural: "price indices" or "price indexes") is a normalized average (typically a weighted average) of price relatives for a given class of goods or services in a given region, during a given interval of time.
A CPI is a statistical estimate constructed using the prices of a sample of representative items whose prices are collected periodically. Sub-indices and sub-sub-indices can be computed for different categories and sub-categories of goods and services, which are combined to produce the overall index with weights reflecting their shares in the total of the consumer expenditures covered by the ...
The price index for some period is usually normalized to be 1 or 100, and that period is called "base period." A Törnqvist or Törnqvist-Theil price index is the weighted geometric mean of the price relatives using arithmetic averages of the value shares in the two periods as weights. [1]
Aggregate income [1] [2] [3] is the total of all incomes in an economy without adjustments for inflation, taxation, or types of double counting. [4] Aggregate income is a form of GDP that is equal to Consumption expenditure plus net profits. 'Aggregate income' in economics is a broad conceptual term.
The aggregation problem is the problem of finding a valid way to treat an empirical or theoretical aggregate as if it reacted like a less-aggregated measure, say, about behavior of an individual agent as described in general microeconomic theory [1] (see representative agent and heterogeneity in economics).
The formula effect accounts for the different formulas used to calculate the two indexes. The PCE price index is based on the Fisher-Ideal formula, while the CPI is based on a modified Laspeyres formula. The weight effect accounts for the relative importance of the underlying commodities reflected in the construction of the two indexes.
The 45-degree line represents an aggregate supply curve which embodies the idea that, as long as the economy is operating at less than full employment, anything demanded will be supplied. Aggregate expenditure and aggregate income are measured by dividing the money value of all goods produced in the economy in a given year by a price index.