I made my price prediction above and I stick by it, but I am sorry to say, that I think there is a far greater chance the base CRZ will be $23,000+ than there is, that it will be less than $20,000.
I infer this based on the comments at the auto show by John Mendel, (the head of American Honda) suggesting they have a 10,000/year sales target. That is a awfully low sales target (less than 1 car/dealer/month) and I can only guess that this is because they plan to price it out of the perceived value range for most people.
Also the comments that the CRZ will be a priced "a little above the Insight," to me means it will be priced a little more than a "equivalently equipped Insight." And the base CRZ is equivalently equipped to the Insight EX, which is $22,010.