You are purchasing a new home and need to borrow $325,000 from a mortgage lender. The mortgage lender quotes you a rate of 6.5% APR for a 30-year fixed rate mortgage (with payments made at the end of each month). The mortgage lender also tells you that if you are willing to pay 1 point, they can offer you a lower rate of 6.25% APR for a 30-year fixed rate mortgage. One point is equal to 1% of the loan value. So if you take the lower rate and pay the points you will need to borrow an additional $3250 to cover the point you are paying the lender.
Required: Assuming that you do not intend to prepay your mortgage (pay off your mortgage early), are you better off paying the 1 point and borrowing at 6.25% APR or just taking out the loan at 6.5% without any points?