What major should I apply for at Columbia.

Ok, so Columbia is on my list due to the location and prestige. The reason I'm looking at Columbia over NYU is that NYU is so fucking expensive. Anyways, what major should I choose for IB at Columbia? Columbia has some weird majors: Financial Engineering, Financial Economics, Economics, or Applied Math. I'm a senior in high school, and I have the stats to get in. 34ACT, 3.99 UW GPA, decent EC, working on the essays right now. I plan on going into IB then Hedge Fund ideally. HF is really appealing to me.