Assume that you borrowed $90,000 from a bank at an interest rate 15% compounded annually. You want to pay the loan back in 17 years. The bank offers you 4 different repayment options. Option 1: Pay the loan in a single payment of the amount F at the end of year 17. Option 2: Pay nothing for 5 years and pay an equal amount of A after that at the end of each odd year until the end of year 17. (Payments occur at the end of years 7, 9, 11, 13, 15 and 17.) Option 3: Pay an amount G at the end of the first year and increase the annual payments by G every year until the end of year 17. Option 4: Pay an amount A1 at the end of the first year and then pay 80% of the previous years payment at the end of each year until the end of year 17. a) Find the value of F. b) Find the value of A. c) Find the value of G. d) Find the value of A1.