I've been a member for 9 months now, but I found out today (or had already forgotten) that you can vote to close, reopen or migrate your own questions with just 250 rep.
That might be just blindness on my part, but another possible reason is that this information is buried in the How do I view close votes and reasons? paragraph of the view close votes privilege.
I think we should make this information more prominent, since the ability to cast close/reopen votes is at least as important as the ability to view them. This could be achieved in a number of ways.
A few suggestions:
Rename the privilege to view and cast close votes.
Add a separate paragraph called How do I close or reopen my own question?