Bart is a new engineering graduate that decides to purchase a new automobile costing $25,000. He can only afford a down payment of $5,000 and must finance remaining $20.000. The dealership offers financing at 15% per year, compounded monthly over a 5-year period. The dealer then proceeds to add on a 1.25% loan initiation fee of $250, a prepaid loan closeout fee of $250, paperwork filing fee of another $100, and prepaid loan maintenance fee of only $8/month or $480. At this point, they are speaking very fast and assure Bart that these little "required" amounts are routine, and can be rolled into his loan. (a)What is Bart's monthly payment for this $20,000 loan? (b) What is the monthly rate of "interest" Bart is really paying for the $20,000 loan? (c) What is the nominal annual interest rate Bart is really paying for the $20,000 loan? (d) What is the effective annual interest rate Bart is really paying for the $20,000 loan?