from austrac.gov.au
AUSTRAC is Australia's anti-money laundering and counter-terrorism financing regulator and specialist financial intelligence unit
They're the ones who want to know if you do
any international funds transfer, or take more than A$10000 cash in or out of Oz. (their definition of cash is quite broad and that 10k level hasn't changed in the past decade)
They're the ones that receive all the STRs (suspicious transactions reports) which the (exempt from prosecution) bank staff and lawyers and casinos and bookies and real-estate agents and ...... can issue. ( so be nice to the front-line staff and have a
very plausible reason for doing
anything 'suspicious' with your financial account(s) ).
The agency had been around for a lonnnnng time, and shares info with a lot of the alphabet agencies, (such as the ATO), so I'm very surprised that ASIO and the AFP don't already have a direct tap into AUSTRACs database for the purposes of background checking for an ASIC.
(but then, with a 2 week turnaround between mailing an ASIC application and receiving the pretty card I'm surprised if any significant checking is/was being done anyway)