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A price index aggregates various combinations of base period prices (), later period prices (), base period quantities (), and later period quantities (). Price index numbers are usually defined either in terms of (actual or hypothetical) expenditures (expenditure = price * quantity) or as different weighted averages of price relatives ( p t ...
Price indices generally select a base year and make that index value equal to 100. Every other year is expressed as a percentage of that base year. In this example, let 2000 be the base year: 2000: original index value was $2.50; $2.50/$2.50 = 100%, so new index value is 100
Index numbers are used especially to compare business activity, the cost of living, and employment. They enable economists to reduce unwieldy business data into easily understood terms. In contrast to a cost-of-living index based on the true but unknown utility function, a superlative index number is an index number that can be calculated. [1]
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]
The index reference period, usually called the base year, often differs both from the weight-reference period and the price-reference period. This is just a matter of rescaling the whole time series to make the value for the index reference period equal to 100. Annually revised weights are a desirable but expensive feature of an index; the ...
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.
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Each index measures price changes from a reference period defined to equal 100.0. Currently, some PPIs have an index base set at 1982 = 100, while the remainder have an index base that corresponds with the month prior to the month that the index was introduced. BLS measures price change in relation to that figure. An index level of 110, for ...
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