In The Case Against the Fed, Murray Rothbard has this to say on page 143:
“It should be easy to see why the Fed pays for its assets with a check on itself rather than by printing Federal Reserve Notes. Only by using checks can it expand the money supply by ten-fold; it is the Fed’s demand deposits that serve as the base of the pyramiding by the commercial banks… The Fed only issues paper money (Federal Reserve Notes) if the public demands cash for its bank accounts and the commercial banks then have to go to the Fed to draw down their deposits. The Fed wants people to use checks rather than cash as far as possible, so that it can generate bank credit inflation at a pace that it can control.”
This passage points to a method by which the Fed could be made accountable. On a certain day, decided and announced far in advance, people would withdraw cash from their checking accounts. It would not be necessary to close accounts, and sufficient funds would be left to cover outstanding checks. People would simply demand cash for funds not immediately needed. Then, a day or a week later, people could re-deposit their cash.
The purpose would not be to cause bank runs, although it might have that effect on especially weak institutions, but to send a message to the Fed. As Rothbard observes, the money supply is leveraged ten times over on our checking accounts; even a moderate demand for cash would have a correspondingly leveraged effect on that supply.
An appropriate date for “Cash Out” would be 22 December, the anniversary of the passage of the Federal Reserve Act. Besides, extra cash is always welcome during the holidays.