Undergrad Public University to Top 5 MBA

I am 22 and won't be applying to grad school for at least 3 years. But I want to take the GMAT exam while I'm still in school mode (within the next year or so).

My background

I received a BS in Finance and International Business/Economics from the University of New Hampshire in May. I graduated with a 3.63 overall GPA, and a 3.79 GPA in my Finance and International Business/Economics courses. Historically, I have not been a great standardized test taker. I did poorly on SATs in high school, but was not focused on school at all (I was much more interested in sports at the time). I have developed a lot since then; I focused much more on school in college and was able to build a pretty decent academic transcript. I scored in the 93rd percentile on my ETS major field test which I took in spring of 2014.

At UNH I was an equity analyst for Atkins Investment Group. A student run investment fund managing roughly $160,000. The group was extremely selective, only 17 of 100 students that applied were accepted.

In the spring of 2014 I studied abroad at the University of St Andrews in Scotland. I took a couple finance courses and a course in divinity. I was the sector leader for healthcare at the investment society at St Andrews.

Right now I work as a due diligence analyst at a well-known investment consulting firm, Cambridge Associates in Boston, MA. As an analyst I do research on PE and hedge funds. I have heard that Dartmouth specifically, and other Ivy's accept several employees from Cambridge each year. I am also working toward my CFA designation, which I will have completed before I apply to grad school. Prior to Cambridge I interned at a boutique institutional advisor in NH. I have had various internships in finance throughout college as well.

I feel like I have built up a decent resume, but am not sure if it is enough. What score would I need to get on the GMAT to be accepted into a top school/is it even possible to make the jump from a public university? Have I built up a worthy resume if I get the right score? My first choice is Dartmouth, but my others would be the obvious Ivy's, ie. HBS, Columbia, Stanford, etc..

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