WASHINGTON - The House passed yesterday the most sweeping government plan yet to shore up the troubled housing market and help people struggling to pay their mortgages, adopting legislation that would underwrite $300 billion in new loans and keep an ... 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.