Please Show steps. do not use Excel!!

f) You are purchasing a $425,000 home. The acquisition will be financed with an 80% mortgage (i.e.your down payment is $85,000) from National Bank of Fairfax. The interest rate on the 30 year loan is 6 percent per year, compounded monthly.

i) Calculate the monthly payment on this loan.

ii) Three months after purchasing the house, you job is relocated to Cary, NC. Consequently, you sell your home. What is the principal balance due at sale (i.e. the loan payoff amount) assuming the sale occurs the instant after you make your third monthly payment?