Use the following information to answer this question and the next question.

The Bozo Company has an $8\%$ coupon bond outstanding. The bond makes semiannual coupon payments and has $12$ years remaining to maturity. Its market price is $$846\mathrm{.}64.$ It is issuing a new $20-$year bond to finance a factory to make new Bozos. The new bond will make annual coupon payments.

What coupon rate should be set for the new bonds of the Bozo Company for these bonds to sell at par?