I've been kind of doing that during my studies. I did a special thing where you alternatively study and work, so you get a contract with a company and then you work and study for them, while being paid, in 3 month intervals for 3 years till your Bachelor's degree. One of the practical terms you do is meant to be abroad on another site than the local one. I got lucky and wanted to go to Japan and also got it! So I worked in Tokyo for 3 months and it was awesome. I would recommend it to anyone!

I also took some extracurricular courses and met a lot of international people who were in Germany, and everyone only talked positively about it. A foreign student joined my studies at my university and even a couple of years later on Facebook he posts how he misses his time in Germany and all the people there :)

A couple of my friends went to Kyoto for half a year and yeah, all I've ever heard (and also all my student colleagues at work had to do a 3 month internship abroad) always really liked it. No bad example comes up in my mind, never heard anyone ever regretting it.

And remember: after studying, when you start working, you won't have this much vacation time anymore and especially such an opportunity will rarely if ever come up again! This might be a once in a lifetime chance and you should think about if you want to let that one pass (unless you strife for a career with a lot of international traveling, of course, but even then, working travel is a lot different then studying abroad).

View it like this: It's probably a once in a lifetime chance. The best thing that can happen is, that this is among the top 5 experiences in your entire life and you will enjoy the heck out of it. The worst that can happen is, that you have a bad time, feel lonely, and everything will be over after a couple of months. It will be sad to have wasted the money, but no one can take the experience from you (and at the least, it is a point in your CV, which will set you apart from other applicants).

Bonus points: I met my fiancee and soon-wife in Germany, while she was doing a semester abroad in Germany (she's American). :)