9. You plan to purchase a house for $250,000 using a 30-year mortgage obtained from your local bank. You will make a down payment of 20 percent of the purchase price and monthly payments. You will not pay off the mortgage early. Your bank offers you the following two options for payment: Optionl: Mortgage rate of 5.25 percent and 1 point. Option2: Mortgage rate of 5 percent and 2.5 points. a. Calculate your monthly payments on this mortgage under Option 1 and Option 2.6 points) b. Calculate the monthly mortgage payment savings under Option 2 compared to Option 1. (2 points) C. Calculate the present value of the monthly mortgage payment savings over the next 15 years. (4 points) d. Calculate the upfront fees under Option 1 and Option 2. What's the difference in upfront fees under Option 1 and Option 2? (3 points) e. If you want to keep the house for 15 years, which option should you choose? Why? (2 points)