Interconvertible rules between an aggregative index and a log-change index


Abstract


This paper describes interconvertible rules between an aggregative index like the Laspeyres index and a log-change index like the Tӧrnqvist index. Thus we can compare an aggregative index with a log-change index in the same form. Using these rules, we formulate the logarithmic difference between the Laspeyres price index and the Tӧrnqvist price index. One of the rules may be combined with another. By using these combined rules, we can change from given weights to other weights in an aggregative index (or a log-change index) of which the value is invariable.

DOI Code: 10.1285/i20705948v7n2p394

Keywords: Price index; quantity index; exact index; substitution bias; logarithmic mean.

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