13. A lender is considering what terms to allow on a loan. Current market terms are 8 percent interest for 25 years for a fully amortizing loan. The borrower, Rich, has requested a $100,000 loan. The lender believes that extra credit analysis and careful loan control will have to be exercised because Rich has never borrowed such a large sum before. In addition, the lender expects that market rates will move upward very soon, perhaps even before the loan is closed. To be on the safe side, the lender decides to extend Rich a fixed rate, constant payment mortgage (CPM) loan commitment of $95,000 at 9 percent interest for 25 years. However, the lender wants to charge a loan origination fee to make the mortgage loan yield 10 percent. a) What origination fee should the lender charge is (s)he expects Rich to keep the loan for the entire 25-year period? b) What origination fee should the lender charge is (s)he expects Rich to prepay the loan after 10 years