  Price indexes in time and space is a most relevant topic in statistical
analysis from both the methodological and the application side. In this paper a
price index providing a novel and effective solution to price indexes over
several periods and among several countries, that is in both a multi-period and
a multilateral framework, is devised. The reference basket of the devised index
is the union of the intersections of the baskets of all periods/countries in
pairs. As such, it provides a broader coverage than usual indexes. Index
closed-form expressions and updating formulas are provided and properties
investigated. Last, applications with real and simulated data provide evidence
of the performance of the index at stake.
