The idea that countries with an independent central bank perform bette
r on price stability is very popular and confirmed by studies investig
ating the issue empirically. Yet, using the Barro-Gordon model we show
that the gains from a more independent central bank are not fixed. Th
ey are larger in countries with unstable governments, not committed to
fixed exchange rates, and in countries were left-wing parties hold a
strong position. The effect of increasing central bank independence is
also shown to depend on the level of the natural unemployment rate an
d the slope of the short-term Phillips curve.