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Imperial College London (biggest FM department in the UK) offers a 4 year funded PhD in math finance that begins with a funded MRes in math finance, but the competition is extremely tough. its probably quite unlikely you'll get a funded masters degree unless you are the best of the best. however, it sounds like you already have a research area from your internship, so it seems to me like you should apply for a PhD now. Exam scores aren't so relevant, you just need a first (or maybe a 2:1) to get your feet in the door.
