Hannah purchased a house for $500,000. She made a downpayment of 25% of the value of the house and received a mortgage for the rest of the amount at 6.75% compounded semi-annually for 20 years. The interest rate was fixed for a 5-year term.

a. Calculate the size of the monthly payments. Round to the nearest cent

b. Calculate the principal balance at the end of the 5-year term. Round to the nearest cent

c. Calculate the size of the monthly payments if after the first 5-year term the mortgage was renewed for another 5-year term at 6.50% compounded semi-annually? Round to the nearest cent