why are you planning to do it in Australia ? I graduated with undergrad finance degree from the University of Melbourne and while for undergraduate degree, it is okay, I really struggle to find any world class graduate degree in Australia.
regarding UniMelb Masters of Finance, I has some friends that were doing it in the past, I don't think it's quantitative at all plus apparently it is targeted for people who does not have finance background and would like to switch to finance. Take this with a grain of salt, but according to my friend who were there, the admission standards are quite low and she was not impressed at all with the quality of her classmates, plenty of people there doing master because they could not land a job after undergraduate degree. She actually switched to another program halfway.
UniMelb has another program called Master of Commerce, which I think is a better program since it has a higher admission standard so the quality of people seem to be better, but I would still recommend US/UK programs any day over this one.
For specialised quant program, I think UTS in Sydney has one that is quite practical. If I am not wrong, the head quant of Commsec used to teach there, it is however part time only. UNSW also has one but I am not sure of the quality.
Another thing with Melbourne is that the finance jobs here are quite limited especially if you have specialised yourself to quantitative finance.