well I think thats all really a matter of speculation.
C and AM are both royal children and thus I'm sure have a lot more money than the average person.
if they invested their money wisely, didnt make frivolous purchases and got some free perks due to their status and connections, who's to say they aren't financially independent.
I really don't buy into this theory that most people seem to have that they are mooches, living completely off the charity of their wealthier relatives and friends.
though it is a bit surprising that-to my knowledge-they havent sold any family jewels. which seems to invariably be one of the first means by which exiled royalty raises money.