There are MBAs in brand management and strategy available at most good universities now such as:
Graphic Branding and Identity at the London College of Communication
Brand Development at Bath Spa University
Design and Branding Strategy at Brunel University
… but in truth any degree in business and/or marketing should suffice. It is more about how you think and tell your story that matters – try to get internships in a couple of agencies to understand how things work or work client side, as I did, for a couple of years to understand how brands live and breathe and what the challenges are so that once agency side you are able to work with client issues and processes much more effectively.