The correct placement is after "master." The only time that you would use it after the 's' is if there were many masters (plural).

An example would be "Bob achieved his Master's Degree with honors."

For colleges and universities within the United States, you must have a bachelor's degree before pursuing a master's degree. The master's degree is advanced study that follows the bachelor's degree.

Master's Degree. The person who earns it is the "master", and it is their degree, hence possessive form: Master's.

Its Master's degree. anywhere you look it will come up Master's even if you type in Master. Also my aunt is a lawyer and I asked her, I even looked it up in the new Collage Webster Dictionary so it is defiantly Master's

Master's degree or Master's Degree