So does this involve swapping homes with someone of the same age from another country? That's how I would interpret the name Exchange Student.
We get plenty of foreign students in my home town during the summer, mainly French & German. This is arranged by a local language school that's specialised in this sort of thing for many years. We had a French girl for a couple of weeks once. I think she liked staying with us less than we liked having her. It wasn't the most rewarding experience I've ever had & I don't think what we were paid covered her food so we lost out on the deal. Strangely enough she cried her eyes out when it was time to go home as she didn't want to leave.

Unfortunately the students are sometimes picked on by the local kids. Mainly problems with them stealing their girls - as usual. Most of them are OK but they can be a tad annoying when they're in large groups. Probably quite different on their own.