Unsure by what you mean by "public or private"?
If you refer to Goodwill, essentially it is a "plug" (a word I rarely use), but it is essentially a filler between price and value of "something". Public or private.
When I say "plug" this is the value of anything not already defined. For example, a value can be assigned to customer lists, patents, copyrights, etc.
Typically, the Goodwill value is a battleground issue in business transactions since there can be M-1 tax differences between book and a corporate tax return.
Auditor's want to see goodwill to cover their audit liability, companies want that number as small as possible in order to manage book to tax.
A bit technical, but I've been in the middle of this many times, so I can speak from experience.