I understand the notion of getting rid of mortgage payments as soon as one can, but why do that at a interest rate of 4.25% rather than 3.375%? You guys seem to not understand the concept of paying less interest. I do get a tax deduction for paying mortgage interest but why pay more interest?
Because there's a cost associated with going from 4.25% to 3.375%. The cost includes settlement fees, taxes, appraisal fees, broker fees, etc. You should find out exactly how much that cost is, then divide it by how much LESS in interest you'd be paying with the new lower interest rate. that gives you the number of months it'll take you to "break even". For example, if your closing costs to refinance is 5000, and you save 200 dollars a month with the lower interest rate payment, it would take you 25 months (2 years or so) to just break even with that 5k cost.
It may or may not be worth it. You must do the math and the info you provided is not sufficient for a more detailed answer.