10. We take a 10-year mortgage for $100,000 at 6.75% p.a. It is to be repaid in monthly repayments. (a)What is the repayment amount? Assume that interest is compounded monthly. Which formula should you use to solve this problem? (b) What is the balance outstanding after two years? How much principal and how much interest have been paid? (c) After two years, the interest rate falls to 6.25% p.a. What prepayment penalty would make it unattractive to prepay the loan? (a) The formula in it's most basic form: OA' FV=Ml1_ 1 l i (1+i)" 03' FV= Pr:_"T[1(1+i)"] 00. PV: FV (1+ i)n 09- FV=PV(1+ i)" The repayment amount is (Round to the nearest cent.) (b) The inputs in my calculator will be: 0 A. N: 2*12 |/YR= 6.75 PMT= -(Answer from a) FV= 0. Find PV 0 B. N= 8*12 IIYR= 6.75/12 PMT= -(Answer from a) FV= 0, Find PV 0 C. N= 2 llYR= 6.75/12 PMT= -(Answer from a) FV= 0, Find PV 0 D. N: 8 llYR= 6.75 PMT= {Answer from a) FV= 0, Find PV The outstanding balance outstanding after two years is $ (Round to the nearest cent.) The amount of principal that has been paid after two years is $ and the amount of interest that has been paid after two years is $ (Round to the nearest cent.) (d) The new PV after two years with the same monthly payments is: (Round to the nearest cent.) The prepayment penalty would have to be (1) $ to make it unattractive to prepay the loan. (Round to the nearest cent.) (1) O at most 0 at least