Assume that you are considering the purchase of a 15-year bond with coupon rate of 9.50%. The bond has a par value of $1,000 and makes semiannual interest payments. If you require an 11.00% yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond (round your answer to two decimal places)? (i) Describe and interpret the assumptions related to the problem. (ii) Apply the appropriate mathematical model to solve the problem. (iii) Calculate the correct solution to the problem.