A $25-$year maturity bond with face value of $$1,000$ makes annual coupon payments and has a coupon rate of $9\mathrm{.}9\%.($Do not round intermediate calculations. Enter your answers as a percent rounded to $3$ decimal places.$)$

a$.$ What is the bond$$s yield to maturity if the bond is selling for $$1,090?$

b$.$ What is the bond$$s yield to maturity if the bond is selling for $$1,000?$

c$.$ What is the bond$$s yield to maturity if the bond is selling for $$1,290?$