It depends who you negotiate with. Some lenders are willing to haggle on both the loan rate and the number of points, but this is not typical among more established lenders.This is why it pays to shop around for the best loan rates. And know the market so that you sound informed when talking to a lender. Read the published rates in local newspapers or check the growing number of Internet sites that publish such information.Also, always make a point to consider the interest rate along with the points to access which loan is truly the best.