Erik purchased a house for $475,000. He made a down payment of 15.00% of the value of the house and received a mortgage for the rest of the amount at 4.52% compounded semi-annually amortized over 20 years. The interest rate was fixed for a 6 year period. a. Calculate the monthly payment amount. Round to the nearest cent b. Calculate the principal balance at the end of the 6 year term