Is it possible? - BA computer science program

Hi all,

I plan on doing the BA Computer Science program at Columbia's School of General Studies (I am still 18 at the moment. I graduated high school at 15 and took 2 years off to figure stuff out). I chose the BA because of the flexibility it gives me to study other things I didn't have the privilege of studying when I was in high school. After this, I plan on going on to get a Masters in Aerospace or Mechanical Engineering, hopefully from MIT, as building things interests me as much as computers do. My main career interest at the moment is Entrepreneurship, as I have an idea which I'm hoping to turn into a company while I'm in school. But in case that doesn't work out as well as I plan, I'd like to go into Investment Banking. So I guess my question is, how feasible is it for me to break into I-Banking with a Masters in Engineering? I'm looking to start off with an Analyst position like the undergrads do (unless I can get something better?), and maybe business school after 2 or 3 years (I know, that is a lot of school lol).

All answers are greatly appreciated

Thank you