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. 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. $ Suppose that 2 years after the initial offering, the going interest rate had risen to 12%. At what price would the bonds sell? Round your answer to the nearest cent. $ Suppose that 2 years after the issue date (as in Part a) interest rates fell to 6%. Suppose further that the interest rate remained at 6% for the next 8 years. What would happen to the price of the bonds over time? I. The price of the bond will decline, approaching $1,000 at the maturity date. II. The price of the bond will remain the same. III. The price of the bond will rise, approaching $1,000 at the maturity date.