A 30-year U.S. Treasury bond with a face value of $1,000 pays a coupon of 5.50%(2.750% of face value every six months). The reported yieid to maturity is 4.6% (a six-month discount rate of 4.62=2.3% ). a. What is the present value of the bond? b-1. If the yield to maturity changes to 1%, what will be the present value? b-2. If the yield to maturity changes to 8%, what will be the present value? b-3. If the yield to maturity changes to 15%, what will be the present value? Note: For all requirements, do not round intermediate calculations. Round your answers to 2 decimal places