The mortgage on your house in Winnipeg is five years old. It required monthly payments of $1402, had an original term of 30 years, and had an interest rate of 9% (APR with semiannual compounding). In the intervening five years, interest rates have fallen, housing prices in the United States have fallen, and you have decided to retire to Florida. You have decided to sell your house in Winnipeg and use your equity for the down payment on a condo in Florida. You will roll over the outstanding balance on your old mortgage into a new mortgage in Florida. The new mortgage has a 30-year term, requires monthly payments, and has an interest rate of 6.625% (APR with monthly compounding, which is typical for U.S. mortgages).

**please list out step by step actions, please show the formulas used, please DONT USE excel**

** please show calculation for "interest rate of 9% (APR with semiannual compounding)"

** please show calculation for "interest rate of 6.625% (APR with monthly compounding, which is typical for U.S. mortgages)"