A 15-year monthly-payment mortgage loan for $250,000 is offered at a nominal rate of 6% convertible monthly. (a) Find the monthly loan payment. (b) Find the total amount of interest to be paid over 15 years. (c) Find the outstanding balance of a loan after 5 years by the prospective method. (d) Find the outstanding balance of a loan after 5 years by the retrospective method. (e) Find the amount of principal paid over the first 5 years. (f) Find the amount of interest paid over the first 5 years.