(Quantitative Question) The mortgage on your house is five years old. It required monthly payments of 51402, had an original term of 30 years, and had an interest rate of 9 APR (compounded monthly). In the Intervening five years, interest rates have fallen and so you have decided to refinance that is, you will roll over the outstanding balance into a new mortgage. The new mortgage has a 30 year term requires monthly payments, and has an interest rate of 6.39 APR (compounded monthly a. What is the amount of loan outstanding today (when you decide to refinance the loan? (Round to 2 decimal places.) b. What monthly repayments will be required with the new loan? (Round to 2 decimal places) c. If you still want to pay off the mortgage in 25 years, what monthly payment should you make after you refinance? (Round to 2 decimal places.) d. Suppose you are willing to continue making monthly payments of $1402. How long will it take you to pay off the mortgage after refinancing in months)? {Round to next whole month.) Write your answers both in the spaces above and on the empty pages on which you will show your work for each part (including a timeline for parts a and b)