Tests of the Convergence Hypothesis or the tendency for per capita inc
ome levels to narrow over time, have generally utilized cross-sectiona
l data and have usually found conflicting evidence. In this study we u
tilize time-series data on Australia UK and USA for the period 1870-19
92, and time-series tests, to consider both 'catching-up' and 'long-ru
n convergence'. The paper finds evidence in favour of long-run converg
ence in per capita income levels for the UK and Australia for the peri
od 1892-1992 and catching-up in the case of UK and USA, and Australia
and USA, giving some support for the exogenous approaches to economic
growth.