1. Suppose you have found the house of your dreams. The selling price is $289,900. You have a mortgage offer for 30 years at 5.75%, compounded monthly, for a loan that is for 100% of the value. However, you have saved up enough so that you can actually pay 15% down if you choose. If you do the latter, you will obtain a 25-year loan at a rate of 5.35%, compounded monthly. a. What is the difference in the total amount you would pay for the house with the two loan options? (15 pts) b. Suppose you take the difference in the two payments and invest that amount in a retirement fund that pays 4% APR, compounded monthly. You would do so for the 25-year period that both loans would be active if you chose them. At the end of the 25 years, how much would you have in that retirement account? (15 pts)