specific question about undergrad schools for ibanking

I want to go into ibanking. I am currently applying to undergraduate schools but I need to decide on one private school to apply to early. I have a dilemma and I would like your advice on whether I should apply to Penn or Princeton. At Penn I would be in Engineering or CAS, so not Wharton. At Princeton, I could study anything I want. I have a better chance at getting into Penn early than I do at Princeton. However, Princeton is a better school for ibanking than Penn BA Economics or Computer Science major (correct me if I am wrong). If I don't get accepted to the school I apply early to, I can probably get in somewhere like Cornell CAS.

So I am asking if it is worth applying to Princeton and risk ending up at Cornell or a school with a similar rank or is it better to just apply to Penn and get in, even though it is not as fantastic for ibanking as Princeton? Also my GPA at Penn would probably be higher because Penn is much easier than Princeton.

Side question: do you think a BA in Econ or a BSE in Computer Science is better for investment banking from Penn?

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