Comparison shopping for a home mortgage refinance loan will save you thousands of dollars if you know what reasonable rates and fees are. Here are several tips to help you avoid overpaying fees when taking out a home mortgage refinance... Having said that, the total expense of a refinance mortgage loan depends on all those factors - interest rate, number of points, and other costs. Lenders will charge several points in order to offer you the lowest rates. With these, the total cost can run between three and six percent of the total amount you borrow. So, for instance, you borrowed $100,000 on a refinance mortgage loan.