Your numbers certainly indicate that you have the intellect and focus to thrive in a top tier MBA program. Nothing about your story makes me think there is any reason why you cannot be admitted, but nothing stands out telling me why you should be admitted. All of the reasons why a top program would admit you are in the details of your work experience, personal experiences, personality, values and overall story. These are things that clearly need to be fleshed out, beginning with career goals. Only weakness that should be addressed right now is extra-curricular involvement which should flow naturally from prior experiences in college.
I would worry less about bank brand name and more about persona story which might entail some out of work activities.
We have already started working with clients for the upcoming season. Not necessary to begin now but it certainly does not hurt and the price is the same for a comprehensive package whether you begin now or in June or September!
Conrad and the Stacy Blackman
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Stacy Blackman | Stacy Blackman Consulting Inc | http://www.StacyBlackman.com | +1 323.934.3936
MBA blogger, US News and Author, The MBA Application Roadmap