Stochastic Index Numbers and Their Application in Accounting, Economics and Finance

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Index numbers of prices, such as the Consumer Price Index and the All Ordinaries Index, are among the most important economic statistics for the whole economy. But despite their importance, currently constructed price indexes do not use all the information available in the underlying price data, namely the dispersion among the individual prices. This project will develop and apply a methodology for a new approach to index numbers that incorporates this information and leads to tractable ways of estimating the whole distribution of the index value, rather than just one number. The practical usefulness of this mthodology will be demonstrated with applications in accounting (sustainable earnings), economics (real exchange rates) and finance (share prices).