This paper presents the geo-logarithmic family of price indexes and gives a new characterization of the Sato-Vartia index, showing that it is the only geo-logarithmic formula being factor reversible.

The geo-logarithmic family of price indexes constitutes an interesting parametric class of index numbers for price comparison, due to the properties satisfied by its members, together with their cofactors. The family was introduced in the early ’90s, as a generalization of the Sato-Vartia...