Investment banking and quantitative finance require different paths. For IB you either major in business or econ, and for quant finance, you should be majoring in CS/Math. If you want to leave the optionality open, you need to go to a private school that will let you make decisions between econ and math somewhat late into the program. If you go into a business school, you are likely, very cleanly, shutting out quant. The other way is perhaps less of a problem – you can do CS/Math and still manage to go into IB if you have a 3.9+ in college. And IB and quant are both at least somewhat name conscious – so you should go to a decent school.
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