You are considering buying a house with a listed price of $$400,000.$ After doing some research, you have concluded that a $30-$year fixed$-$rate mortgage is the best option for you. The bank requires you to put a down payment equal to $20\%$ of the value of the house. You plan to use your savings to meet the down payment and borrow the balance from the bank. The bank$$s annual interest rate for a $30-$year fixed$-$rate home mortgage is $6\mathrm{.}6\%.$ Both interest and principal are payable at the end of each month.

Please do:

Prepare a complete mortgage amortization schedule for this house purchase in Excel. It should show the mortgage, interest, and principal payments and the principal balance remaining at the end of each month.