On a high level the Master of Finance degree drills deeper in subject areas like Investment Management and Analysis, corporate finance, or risk management and derivatives.
My concern with a Master of Finance degree is that the degree does not have the same reputation as the MBA degree so you are dependent upon the recruiting and branding of the school. So, if you graduated from say MIT Sloan (
https://mitsloan.mit.edu/mfin/) or LBS (
https://www.london.edu/programmes/mastersinfinance.html) your job prospects might be better. LBS publishes their 2012 Masters in Finance report to give you an idea of the job prospects (
https://www.london.edu/assets/documents/ ... Report.pdf).
But, with a 630 GMAT score you would not be competitive for these programs, or most likely the programs of Top 20-30 universities. To gauge your competitiveness look at the Class Profiles. You can see UT Austin has a mean GMAT of a 701 (
https://www.mccombs.utexas.edu/MSF/Admis ... ss-Profile) and even Vanderbilt Owen has a GMAT Range of 640-760 (
https://www.owen.vanderbilt.edu/admissio ... rofile.cfm).
My advice is to retake the GMAT.
Best of luck,