Changing password – ‘Old password’ vs ‘Current password’

When changing password we usually see these fields:

  1. Old Password
  2. New Password
  3. Confirm New Password

But personally I think "Current Password" is clearer in telling the user that we need their current password to authorise the changing, negating the possibility that they might think the previous password is required(I have witness people being confused by this before).

So my question is the more common 'Old Password' more comprehensive than 'Current Password' or any other wording for it? If so how? and if not why is it used more widely?