A $30-$year maturity bond with face value of $$1,000$ makes semiannual coupon payments and has a coupon rate of $9\mathrm{.}20\%.$

Note: Do not round intermediate calculations. Enter your answers as a percent rounded to $3$ decimal places.

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

Yield to maturity

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

Yield to maturity

c$.$ What is the yield to maturity if the bond is selling for $$1,080?$