Might want to check again. The Federal Reserve is part of the US government. It was created on December 23, 1913, with the enactment of the
Federal Reserve Act by Congress.
The framers of the Federal Reserve Act purposely rejected the concept of a single central bank. Instead, they provided for a central banking “system” with three salient features: (1) a central governing Board, (2) a decentralized operating structure of 12 Reserve Banks, and (3) a combination of public and private characteristics.
Although parts of the Federal Reserve System share some characteristics with private-sector entities, the Federal Reserve was established to serve the public interest.
There are three key entities in the Federal Reserve System: the Federal Reserve Board of Governors (Board of Governors), the Federal Reserve Banks (Reserve Banks), and the Federal Open Market Committee (FOMC). The Board of Governors, an agency of the federal government that reports to and is directly accountable to Congress (figure 1.2), provides general guidance for the System and oversees the 12 Reserve Banks.
Within the System, certain responsibilities are shared between the Board of Governors in Washington, D.C., whose members are appointed by the President with the advice and consent of the Senate, and the Reserve Banks and Branches, which constitute the System’s operating presence around the country. While the Federal Reserve has frequent communication with executive branch and congressional officials, its decisions are made independently
It even has a .gov URL.
The Federal Reserve Board of Governors in Washington DC.
www.federalreserve.gov