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The change in a Fisher index from one period to the next is the geometric mean of the changes in Laspeyres' and Paasche's indices between those periods, and these are chained together to make comparisons over many periods: = This is also called Fisher's "ideal" price index.
Hence, one may think of the Paasche index as one where the numeraire is the bundle of goods using current year prices and current year quantities. Similarly, the Laspeyres index can be thought of as a price index taking the bundle of goods using current prices and base period quantities as the numeraire.
It can be shown that the Paasche is a lower bound for true cost of living index. [5] Since upper and lower bounds of the true cost of living index can be found, respectively, through the Laspeyres and Paasche indices, the geometric average of the two, known as the Fisher price index , is a close approximation of the true cost of living index if ...
Ernst Louis Étienne Laspeyres (German: [lasˈpaɪrəs]; 28 November 1834 – 4 August 1913) was a German economist. He was Professor ordinarius of economics and statistics or State Sciences and cameralistics (public finance and administration) in Basel , Riga , Dorpat (now Tartu), Karlsruhe , and finally for 26 years in Gießen .
Hermann Paasche (German pronunciation:; February 24, 1851 – April 11, 1925) was a German statistician and economist. He is known for his Paasche Index, which provides a calculation of the Price Index. Paasche studied economics, agriculture, statistics and philosophy at University of Halle.
The PCE price index (PePP), also referred to as the PCE deflator, PCE price deflator, or the Implicit Price Deflator for Personal Consumption Expenditures (IPD for PCE) by the Bureau of Economic Analysis (BEA) and as the Chain-type Price Index for Personal Consumption Expenditures (CTPIPCE) by the Federal Open Market Committee (FOMC), is a United States-wide indicator of the average increase ...
The annual percent change in the US Consumer Price Index for All Urban Consumers is one of the most common metrics for price inflation in the United States. The United States Consumer Price Index (CPI) is a family of various consumer price indices published monthly by the United States Bureau of Labor Statistics (BLS). The most commonly used ...
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 ...