25. Suppose you are purchasing a new car. Having settled on one with a tag price of $26,900, you begin negotiating. The dealer informs you that as a recent graduate vou qualify for a $800 discount from the manufacturer. On you part, you agree to pay registration and title processing fees, amounting to $640, in cash, and also pay $3,400 as a down payment, financing the remaining net amount. The dealer's financing office proposes to you a 5-year loan with an APR of 4.79%. (a) What is the net amount you indent to borrow? (b) Under the dealer's offer, what will be your monthly payment (compute to four decimal places)? (c) After considering the offer and being sure of the new high-paying job and your ability to stick with a budget, you counter with a four-year term and monthly payment of $515. What is the implied YTM of your counter offer? Compute the answer as an APR with four decimal places. (d) Will the dealer's financing office agree to your counter offer? If, yes, explain what may lead them to agree. If no, provide reasons for why they may baulk at your counter offer