This article presents an overview of monetary policy in Australia and highlights the persistence and volatility of inflation under successive monetary policy regimes, 1950-2010. A series of unit root tests specified both linearly and nonlinearly investigate whether inflation persistence has the characteristic of a unit root. The overall results for the full sample period, 1950-2010, and two subsample periods, 1970-2010 and 1993-2010, suggest that Australia's high inflation persistence does not incorporate a unit root, with the post-1993 analysis most emphatically yielding the result. High inflation persistence and volatility in Australia suggest that inflationary shock takes a long time to dissipate but does not permanently alter the low average level of inflation. The empirical results suggest that inflation and inflation volatility have a feedback relation while inflation volatility affects the rates of economic growth and unemployment.