Disclaimer : Please consider I'm in Europe, and this is for European funding
I've been accepted to do my PhD. I've been told in writing something along the lines of "You'll work for Prof. A doing project X for T years". My professor sent me his proposal and told me that even though it was done in 2016 he still has money for a PhD student.
However if I look for the project online, the funding agency stops giving funding on 2022.
So I'm worried about this divergent information (what my professor says vs what the funding agencies say) and I'm wondering whether I should ask my professor by email if he indeed has money for me to work on that project and also about how funding agencies really interpret their end date. I see this as possibly inappropriate because he already told me in writing that he can fund me for that project, and I don't want to sound like I'm questioning his word especially at this early stage.
How do funding agencies interpret their end dates? I mean, is a professor only meant to hire PhD's several years before the end date? This seems odd because one doesn't know exactly how long it'll take for a student to graduate.