Lionel purchased a house for $475,000. He made a downpayment of 25.00% of the value of the house and received a mortgage for the rest of the amount at 5.82% compounded semi-annually amortized over 20 years. The interest rate was fixed for a 4 year period.

a. Calculate the monthly payment amount.

b. Calculate the principal balance at the end of the 4 year term

c. Calculate the monthly payment amount if the mortgage was renewed for another 4 years at 3.62% compounded semi-annually?