Presidents come and go.

Some die in office; some retire into the lap of luxury and build monuments to their own greatness using public money; some get shot in the head by magic bullets.

However, they go out, they leave after four or eight years.

Presidents are temporary; the Fed is permanent.

It's also entirely beyond any democratic accountability whatsoever — a fact we, ironically, never hear a peep of protestation about from the self-professed Guardians of Democracy™ on the left.

Via Investopedia (emphasis added):

"The independence of America's central bank has always been a contentious issue. In the early days of the Republic, the founding fathers ultimately opted against having a central monetary authority. Although Alexander Hamilton was successful at establishing the Bank of the United States for several years, it ultimately failed. It was not until the Federal Reserve Act of 1913 that established the present-day central bank…

The monetary decisions of the Federal Reserve are meant to be separate from the government, and policy moves do not have to be ratified by the President, or anyone else in the Executive Branch…

Independence can also make it easier to execute policies that are politically unpopular but serve a greater public interest. Another argument is that the central bank should be filled with economists and other experts*, rather than politicians or those under political sway."

*"Trust the experts"! Have we learned our lesson on putting blind faith in government bureaucrats with their own set of (often perverse) interests? Certainly, I have and you probably have, but the NPCs still appear, by and large, to enjoy their domestication.