First of all, I guess you know very little about finance but are simply
attracted to the glamorous word "finance". Otherwise, you won't even compare
these completely different two fields.
Mathematical finance/financial engineering is all about math and programmning,
basically. You don't really have to know much about finance or business.
Very sophisticated quanitative skills are paramount. Strictly speaking it is
not really finance. Think of it as applying mathematics. It is simply using your ma