George gets from ABC bank a 30-year $500k FA-FRM (fully amortizing fixed rate mortgage) at a 12% APR, compounded monthly. At the end of 10 years, the market interest rate is 18%. Answer the following questions, providing full analysis for your responses

(i) Evaluate the monthly payments that George must make to the bank

(ii) Evaluate the remaining balance of the mortgage at the end of the 10th year

(iii) Evaluate the market value of the mortgage at the end of the 10th year

(iv) Assuming that the mortgage is sold at market value at the end of the 10th year, is the mortgage sold at discount?