Структурно-динамические индексы цен и количеств для агрегированных периодов и средние цены для однородных периодов

Ершов Эмиль Борисович

Article

Структурно-динамические индексы цен и количеств для агрегированных периодов и средние цены для однородных периодов

Экономический журнал Высшей школы экономики. 2010. Т. 14. № 4. С. 440-467.

We consider the problem of determining indices for periods with non-constant prices. The structurally-dynamic quantity indices and price indices-deflators of value flows are induced for aggregated periods consisting of the sequences elementary and homogeneous ones (which can not be represented as a series of others with less duration). These indices depend on changes in the quantities and average prices of products in these sequences. So they are distinguished from the traditional static indices, defined only by amounts of values and quantities of products in the aggregate periods. The definition of indices, consistent in reference to aggregation of products, which is natural for practical uses, is suggested. Recommended chained Divisia - Montgomery price indices possess such a property. We also consider an alternative definitions of homogeneity of period with non-constant prices and the corresponding methods of calculating average product prices on the base of available statistical data. The definition based on the properties of Divisia - Montgomery indices is preferred.

Research target: Economics and Management (including Public Administration)

Priority areas: economics

Language: Russian

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Keywords: price and quantity indices Divisia indices Montgomery indices elementary and homogeneous period aggregate period mean price consistency in aggregation

Факторная идентичность траекторных индексов, порождаемых конструкциями Дивизиа и Монтгомери, как определяющее свойство логарифмических индексов цен и количеств

Ершов Э. Б. Экономический журнал Высшей школы экономики. 2010. Т. 14. № 1. С. 70-87.

This paper proposes an axiomatic solution to the problem of choice of the dynamic construction of prices and quantities indices and trajectories. There has been proved the existence of prices and quantities paths which are identical to those generating Divisia and Montgomery indices. The obtained Divisia - Montgomery indices (also known as log-change or Montgomery - Vartia(I) index numbers) possess the axiomatic properties of both Montgomery and Divisia indices and are recommended for practical application. They are uniquely characterized by a constant on the trajectories and equal shares of each factor's contribution to value change and to logarithm of the index value for a given set of goods. This indices' property corresponds to the statistical practice's assumption of homogeneity of the studied process of combined changes in prices and quantities in the neighboring periods. The proposed approach could be extended to the calculation of chain indices for the sequences of the compared states-periods.

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