Studying Abroad; Is it worth the college experience?

[iironiic]

I was contemplating on studying abroad not next year, but the fall semester of my senior year. Although it's not set and stone at the moment, I am thinking about participating in the Budapest Semesters to learn upper level mathematics that my school does not offer. I think this will help me especially when it boils down to graduate studies in mathematics. It will also, and hopefully, give me some opportunities to experience a unique culture, form relationships overseas for future mathematical research, and open my mind to higher level mathematics, something many schools in the US don't have to offer.

Some cons about this include the fact that I won't spend a Thanksgiving with my family, which is something I will regret if I decide to take this opportunity. I never flew an airplane and I never traveled outside of the US before so I'm a little nervous thinking about being alone in Hungary with no one to rely on (except if some mathematical FFRiends want to join me lol). There are other cons, but I really didn't give a serious thought about this opportunity.

What are your thoughts about studying abroad? Is it worth the college experience? Feel free to discuss.