→ Alex Speier Explains Why the Red Sox Gave a Qualifying Offer to Stephen Drew

This sums it up:

The Sox are comfortable with the possibility that either Drew accepts the offer, thus returning and offering another year of strong two-way play, or with the possibility that he rejects the deal and signs elsewhere, in which case they would have one of the top 50 picks in next year’s draft. 

Sounds like good logic to me.