Difference Between Finance Degree in Business School or liberal arts degree

I am a rising senior in highschool and want to be in high finance after college (primarily pe, hf, equity research or quant). I want to apply to some ivies but also some good state schools such as Umich, UVA and NYU. However at some private schools such as UChicago and Princeton I want to double major in economics and applied and computational math. For the state schools or schools that have solid business schools I was thinking of applying as a finance major in the business school. I was wondering if there is a difference between a business school such as Ross or McIntire at UVA with a finance degree or being in the liberal arts school and getting an economics and applied math degree? Does being in a solid business school better than just being in the liberal arts school for the colleges that have a business school even if I'm more interested in economics and applied math.