It's a simple question, with a convoluted answer, but YES, the federal Reserve is technically a PRIVATE, CORPORATE entity. It's shares are "owned " by the 12 chartered Regional banks within the federal reserve system (according to the Fed itself). The question then arises as to who "owns" the regional banks...this is a much more gaurded secret.

According to a 2018 FOIA request by Chris Martenson (best I could find), JP Morgan and Chase bank control approximately 72% of the shares in the regional banks (combined).

I have more info if you are interested, but for the sake of brevity I'll stop here...

Here is a reference to a great book. Some of the names have changed, but I believe the structure is the same. Hope this helps.