The yield to maturity on $1-$year zero$-$coupon bonds is currently $6\%$; the YTM on $2-$year zeros is $7\%.$ The Treasury plans to issue a $2-$year maturity coupon bond, paying coupons once per year with a coupon rate of $8\%.$ The face value of the bond is $$100.$Required:At what price will the bond sell?Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.What will the yield to maturity on the bond be$?$Note: Do not round intermediate calculations. Round your answer to $3$ decimal places.If the expectations theory of the yield curve is correct, what is the market expectation of the price for which the bond will sell next year?Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.Recalculate your answer to part $($c$)$ if you believe in the liquidity preference theory and you believe that the liquidity premium is $2\mathrm{.}5\%.$Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.