Right now the largest altcoin exchange, Poloniex, has a $25,000 per day maximum limit and that is only if you give them your ID and SSN. That's absolutely ridiculous considering there are whales on there right now putting up buys and sells for thousands of BTC at a time. It would take you over a month just to get 1,000BTC out of there and possibly several months for some of the larger whales.
The $25k USD limit is for standard level 3 accounts, if you do enhanced verification (level 4) you can have your limits raised into the millions.