What hotel did Carrie stay at in the last episode of Sex and the City - An American Girl in Paris?

Does anyone know the name of the hotel and where the hotel is that Carrie stayed at in the last episodes of Sex and the City (An American Girl in Paris Part Une & Deux)?

Was it a real hotel, either in Paris or somewhere else - or was it filmed in a studio?

It is a real hotel :D and it's in Paris.

It's called the Hotel Plaza Athenee. Here is the website:

http://www.plaza-athenee-paris.com/index.html

Hope this helped :D