4. Refi nancing a Mortgage. Kevin Tutumbo of Rochester Hills, Michigan, has owned his home for 15 years and expects to live in it for fi ve more years. He originally borrowed $105,000 at 8 percent interest for 30 years to buy the home. He still owes $85,750 on the loan. Interest rates have since fallen to 6.5 percent, and Kevin is considering refi nancing the loan for 15 years. He would have to pay 2 points on the new loan with no prepayment penalty on the current loan.

(a) What is Kevin’s current monthly payment?

(b) Calculate the monthly payment on the new loan.

(c) Advise Kevin on whether he should refi nance his mortgage using the Run the Numbers worksheet, “Should You Refi nance Your Mortgage?” on page 272.