6. As the financial advisor for Lucy and her family, there are some payments Lucy wants you to find out. (10 mark) a. Lucy is looking for mortgages (loan) to finance (buy) a house. The bank has offered a 30-year fixed mortgage that needs her to pay 6% interest compounded monthly. The purchase price of the house is $3,000,000, and Lucy plans to make a down payment equal to $1,000,000. What would her monthly payments be with the bank mortgage? (5 marks) b. Based on the monthly payments that you calculated above, suppose it is now 10 years later, and Lucy has lived in the house for 10 years. She is considering paying off the mortgages. How much does she owe on the mortgage if this month's payment was made yesterday (Hints: she has 20 years left for monthly payments)