See 1st of all Icfai is very much popular for finance thats primarily for the reason that it started off with its CFA course in the year 1987, so from there on it is known for Finance....
Other reason being a huge talent in the form of CA's, CS and B.Com from reputed coll come to Icfai which adds the flavour to the finance stream.
From the profile point of view, there are various types of profiles that you can get into depending upon the company and industry you are going into like Financial Analysis (most popular), Equity research analyst, Business Analyst, Risk management, Principal banker, wealth management etc.
and regarding MS-Finance i cannot generalize anything here weather it is good or bad....
Pls PM me if you want to know abt MS-Finance.