a) A 30-year mortgage for $220,000 has monthly payments at a 6% nominal annual rate. If a borrower's loan origination fee is 3% and is added to the initial balance, what is the true effective cost of the loan? (8 pts) b) If the house is sold after six years and the loan is paid off, what is the effective interest rate? (4 pts) c) Graph the effective interest rate as the time to sell the house and pay off the loan varies from one to 15 years. (4 pts)