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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]
The Laspeyres Formula is the weighted arithmetic mean based on the fixed value-based weights for the base period. The Ten-Day Price Index is a procedure under which, “sample prices” with high intra-month fluctuations are selected and surveyed every ten days by phone.
Here is an example with the Laspeyres index, where is the period for which we wish to calculate the index and is a reference period that anchors the value of the series:
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.
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 ...
For example, a Törnqvist index summarizing labor input may weigh the growth rate of the hours of each group of workers by the share of labor compensation they receive. [7] The Törnqvist index is a superlative index, meaning it can approximate any smooth production or cost function. "Smooth" here means that small changes in relative prices for ...
A chained volume series is a series of economic data (such as GDP, GNP or similar kinds of data) from successive years, put in real (or constant, i.e. inflation- and deflation-adjusted) terms by computing the aggregate value of the measure (e.g. GDP or GNP) for each year using the prices of the preceding year, and then 'chain linking' the data together to obtain a time-series of figures from ...
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 .