Suppose Hillard Manufacturing sold an issue of bonds with a 10-year maturity, a $1,000 par value, a 10% coupon rate, and semiannual interest payments.

a) Two years after the bonds were issued, the going rate of interest on bonds such as these fell to 6%. At what price would the bonds sell? Round your answer to the nearest cent.

b) Suppose that 2 years after the initial offering, the going interest rate had risen to 15%. At what price would the bonds sell? Round your answer to the nearest cent.