[expat_panama]

The Federal reserve is not a part of the government as it is often protrayed, but a privately owned corporation

Let's agree that the Federal Reserve is part of the government even while it's an independent agency. 

Being independent agencies doesn't make "privately owned corporations" out of the Central Intelligence Agency (CIA, Environmental Protection Agency (EPA), Federal Deposit Insurance Corporation (FDIC), General Services Administration (GSA), National Aeronautics and Space Administration (NASA), Occupational Safety and Health Review Commission, Peace Corps, Securities and Exchange Commission (SEC), Selective Service System, Social Security Administration (SSA), and the United States Postal Service (USPS).

People that work for these independent agencies of the Executive branch are federal employees and their paychecks and terms of service are all administered (just like the military, federal judges, the FBI, etc.) by the Office of Personnel Management --another independent agency.  Here's a screenshot from another OPM site:

[Durus]

Being independent agencies doesn't make "privately owned corporations" out of the...

Can I buy stock in any of those government agencies? No...but I can buy stock in the FRB although I would have to own a bank to do so.

People that work for these independent agencies of the Executive branch are federal employees and their paychecks and terms of service are all administered (just like the military, federal judges, the FBI, etc.) by the Office of Personnel Management --another independent agency.

I've provided links from a Federal reserve bank stating very clearly that employees of the federal reserve bank are not government employees. I've also provided links that federal courts have ruled that the FRB is not a government agency and people employed by them are not government employees. Not to mention that I've also linked an OPM document that lists all federal government agencies and the FRB is absent. I don't know what else to tell you.