cfa is a self-study certification well regarded in asset management industry (at least used to be).
mfe is a degree program that you can do part-time or full-time. it will get you into quantitative finance (or computational finance) roles, which are related to trading in the capital markets, eg you assist traders by churning out useful spreadsheets. very different from asset management. more brain power and less soft skills needed.
just my 2 cents.