A $30-$year maturity bond with $$1,000$ face value makes semi$-$annual coupon payments and has a coupon rate of $8\%.($Round your answers to $4$ decimal places.$)$

a$.$ What is the bond's yield to maturity if the bond is selling for $$900?$

Bond's yield to maturity $\%$

b$.$ What is the bond's yield to maturity if the bond is selling for $$1000?$

Bond's yield to maturity $\%$

c$.$ What is the bond's yield to maturity if the bond is selling for $$1100?$

Bond's yield to maturity

$\%$