And there will be NO inflation because this money is largely going to corporations who will figure out ways to maximize ROI -> invest it in the financial market. So although there might inflation of equity prices (as seen by the recovery of the S&P and other equities), the world is still out of work and starving and without the dollars to drive demand and price increases of goods and services.
We need to separate financial money flows (Gross Financial Product?) from the GDP to really know what is going on.