After Charlie Harper passed away, his brother Alan and Alans son Jake had to move out of Charlies beach house in Malibu where they had lived for so many years. Alan has just purchased a new apartment and financed this purchase with a 30-year mortgage that requires a 20% down payment. The rest is to be repaid in equal QUARTERLY installments of $2,200 each. The EAR on this mortgage is 6.5%, and the interest rate is compounded QUARTERLY. For accuracy, please retain three digits after the decimal point in interest rate computations in this problem (for example 5.123%).

a) What was the price of the apartment?

1 b) Suppose that Alans lender has to disclose the APR on this mortgage. What APR would the lender quote?

c) Based on the APR that you found in (b), which compounding frequency daily (assuming 365 days), monthly, quarterly, semi-annual, or annual would result in the highest EAR? Please find this EAR.