If you work at a credit union you probably do. Otherwise the odds go down.
A share draft account is a checking account at a credit union. The language is a little different, but the product is pretty much the same. Credit unions call your deposits "shares" because they represent ownership of the institution.
Some, like The Financial Brand, wonder if it makes sense to continue using the term "share draft". Most customers - or "members" at a credit union - want a checking account, and that's what they'll look for. There's a poll running at The Financial Brand where you can cast your vote and read views from credit union old-timers.
So, was that news to you? Is it worth keeping the old credit union language?
Further reading:

