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The Marshall-Edgeworth index, credited to Marshall (1887) and Edgeworth (1925), [11] is a weighted relative of current period to base period sets of prices. This index uses the arithmetic average of the current and based period quantities for weighting. It is considered a pseudo-superlative formula and is symmetric. [12]
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.
However, more practical formulas can be evaluated based on their relationship to the true cost of living index. One of the most commonly used formulas for consumer price indices, the Laspeyres price index, compares the cost of what a consumer bought in one time period (q 0) with how much it would have cost to buy the same set of goods and ...
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 .
For example, if we set equal to the mean of the characteristics for the previous period : , we would get a Laspeyres-type index. 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 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 nominal GDP of a given year is computed using that year's prices, while the real GDP of that year is computed using the base year's prices. The formula implies that dividing the nominal GDP by the real GDP and multiplying it by 100 will give the GDP Deflator, hence "deflating" the nominal GDP into a real measure. [1]
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.