future of finance vs law/how do you know what area you want to be in?

Hi this is my first post, hopefully I don't do anything to violate the Rules of WSO. I'm mainly interested in what the culture of finance/law is right now.. I'm finishing up second year of university and I don't know what I'm doing - in high school I liked maths and economics and assumed I would either do trading/HF or IB/PE. I ended up in a university program that allows me to major in whatever I want (math) for the first two years before entering a 2-year business program, similar to the mba curriculum offered by the school apparently.

I'm not sure that I want to proceed with that, though. I've been thinking about switching to a computer science + math double major and going from there, since it seems like most things in finance are learned on the job. I've interned in trading, taken classes in economics and accounting, did reading on my own re derivatives/options/futures/etc products, and would probably do a CFA regardless. Right now I've "narrowed it down" to venture capital, trading/HF, law, and machine learning research - so still not really any good idea of what I am aiming at. (Also law meaning litigation/advocacy in some area, don't see much appeal in corporate law, if it's paperwork for investment bankers I'd rather be an investment banker?)

This is turning out to be kind of long winded so I guess my question is for anyone who knows more about work in these fields than I do - is there still a future in finance/can it be intellectually stimulating (sorry I don't know how to ask that in a way that sounds less annoying), professional designations are valuable but is law even worth considering, how do you know what area to go into and what skills/types of people do you tend to find in each one?

Thanks and also sorry I feel ridiculous for posting this but I have no idea other than cs/math undergrad -> apply to t4 law schools, if I get in reassess, if I don't get in choose between tech or something business related..??