My thoughts might not prove helpful, but I think that as long as your PD and official job title reflect what you actually do, does it really matter what he calls you himself?? If bossie is old-fashioned, you might not have much luck changing his habits, one of which is referring to you as his secretary. Does it hurt you any?? As long as your pay and official title reflect your true job, then it shouldn't matter, unless there are other problems involved. You say that others already know that you're his PA so...
But then, I might be off base. Maybe what you're looking at doing is getting Bossie to approve your title change and pay difference. If so, then simply looking at the PD that your predecesor had and what you are currently doing (written up into a PD) would be helpful, as well as maybe samples from other PA's in your company. Then highlight the additional duties that you perform and how these correspond to similar duties performed by these other employees under the title PA.
I'm sure others will speak up soon, so never fear -- you'll get more advice than mine.
CountriGal
Peer Moderator