Options? Investment Banking Internship?

<p>Ok, a little background: I'm 17 and this Fall I'll be a senior in Pure Math with a minor in Econ (and minor in ballet which might be irrelevant). I got bored in high school (it was a good school but was too easy for me and this was discouraging) and at the time I was about to move to New York to pursue ballet when I got injured. So, then I home schooled a little and just went straight to college. Obviously with this background, I didn't go to an Ivy as my mother wouldn't let me go far from home at my age. </p>

<p>I'm interested in doing Wall Street Investment Banking or a related field. As I really have no previous work experience, no connections, and I didn't go to an Ivy (my school doesn't have recruiting), is there honestly any chance of getting an internship this summer? I was hoping the fact that I'll graduate with a Math degree before I turn 18 could be a selling point, if my online application was even looked at. I'm also applying to very good graduate schools for mathematical finance or economics. So, my question is should I try this year or, assuming I do get into one of these competitive programs in financial mathematics, just wait. </p>

<p>Any input or strong opinions are welcomed and appreciated! Thanks!</p>