Blackmac's point are very valid. You can get a price discount if you (in this case, your daughter) is a student and the free iPT could be a big kicker for some people.
A few things to know about the refurbed machines, though. Many times they're essentially new. As many here would tell you, it's often a machine that was used very lightly then returned for a variety of reasons (though don't think technical - they do thorough checking on their refurbs to make sure they're in proper condition). They come with a good warranty, you can still purchase Apple Care if you wish (or SquareTrade if you'd rather), and come with all of the proper packaging. In addition, you aren't necessarily missing out on the latest and greatest. For example, the newest MBP models have been available refurbished, though in limited quantities, for about a month now. I believe they've been on the market around 3 or 4 months in total? So you don't necessarily have to be too far behind in technology. OTOH, if you go back to the previous model, you get a greater discount
Hope you're happy with whatever you do. I'm buying my first refurb, actually, convinced by reading many stories here and talking with some friends. And in a way, I'm selling my current computer "refurbished" to someone I know - just cleaning it up myself, etc. When well taken care of, 'old' technology really isn't so bad. And Apple ensures that the computers they sell refurbished are in top condition.
Good luck.