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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 ...
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 .
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.
Setting equal to +: + gives Paasche-type index and so on. The Fisher-type index is defined as a square root of product of Laspeyres- and Paasche-type indexes. The Edgeworth-Marshall index uses the arithmetic mean of mean characteristics of two periods t and t+1. A Walsh-type index uses the geometric average of two periods.
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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 the upper and lower bounds are not too far apart. [6]
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 Food and Agriculture Organization (FAO) Food Price Index 1961–2024 in nominal and real terms. Years 2014–2016 is 100. The FAO Food Price Index (FFPI) is a food price index by the Food and Agriculture Organization (FAO) of the United Nations. It records the development of world market prices of 24 agricultural commodities and foodstuffs ...