Another way is find a co-advisor in EE at GaTech, then try to get an EE PhD, assuming the essential stuff you'll be doing won't be much different from what you're doing now. With some finance courses and possible CFA, you will be in a better shape at the time you start your job hunting.
My point here is a physics PhD from a 35-44th school has much less chances of getting interviews compared with a top 10 EE PhD, given that you already have strong math/programming background.
IMHO, a PhD from a top program is better than a MFE graduate in almost every aspects in the long run. I do feel those MFE programs only cares about money. You can easily take most of those relevant mathFin courses from your own school, no big deal,even learn them all by self study, then why bother to pay more to go for a MFE program? It's relatively easy to get in those MFE program,though.
Why so many students want to be a quant? salary? dont think so, a fresh EE PhD from a top 10 program can get a industry position with starting salary from 85k-120k plus a good lifestyle. If you really wanna pursue big money, then go for a top 5 MBA after a few years of industry work, which definitely gives you a real edge to make tons of $$...Quant opennings are so few, and you won't go too far up on the career ladder unless you plan to open your own hedge fund in the future.
Of coz try to get in a top finance Phd program if you really love finance and plan to be a faculy in a research orientd university.
Good luck with whatever decision you are going to make.
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