The purpose of stimulus is to increase demand (and thereby nominal GDP) over what it would have otherwise have been.

FORBES: Addressing The Fallacious Views Of Contemptuous Keynesians

The big fiscal stimulus enacted this month by Mr Abe will get Japan part way towards his 3 per cent nominal growth target, but advisers to the government say the BoJ needs to pull its weight too.

CNN: Bank of Japan bows to inflation pressure