What does a Senior Product Manager at Bloomberg do and how much compensation should you expect at that level? Same goes for a Chief Product Officer/Owner? What do they do and how much compensation? What's the hierarchy at Bloomberg? I'm not talking of SWE.
Unlike SWE other areas the hierarchy is not very clear. We had some internal survey in company Blind channel, we had about <300 Bloomberg people on Blind and most seem to be engineering. So not sure if your have the right people here to give you an answer. If you have a link to a job posting or know the hiring manager we can give you some guidance on what they do (but may be not compensation).
Bloomberg has a Blind channel? As in, Slack?
See "What features are offered? " In https://www.teamblind.com/faqs "A private company channel to discuss all things work-related with just your co-workers " In your case see: "Why don’t I have a company channel?"