The Monetary Base consists of currency in circulation and commercial bank deposits at the Federal Reserve. Currency in circulation includes notes and coins both in circulation and held in the vaults of commercial banks. Commercial bank deposits at the Fed can be further broken down into required reserves and excess reserves. Excess reserves on deposit have soared — since late 2008 when the Fed started paying interest on reserves — to a level of $2.6 Trillion.
By varying the interest rate payable on excess reserves the Fed can manipulate the amount of currency in circulation. It is no longer reliant solely on Treasury and MBS purchases and sales to increase or decrease the money supply: these are merely one tool in the monetary tool-kit. So announcing that QE (security purchases) have ended does not mean that currency in circulation and the working monetary base (excluding excess reserves) will stop growing or will contract. That would cause deflationary pressure similar to the European experience. Growth, instead, is likely to continue provided that excess reserves are drawn down to compensate for cessation of QE.
Deflationary pressures are unlikely to surface provided currency in circulation and the working monetary base continue to grow at above 5% a year. Only if real GDP grew at a faster pace (a problem we would like to have) would we encounter a problem.
Australia has similarly been keeping on the right side of 5% growth since early 2012. Provided this continues we should keep out of trouble.