$($Related to Checkpoint $9\mathrm{.}2$ and Checkpoint $9\mathrm{.}3)($Bond valuation$)$ The $13-$year $$1,000$ par bonds of Vail Inc. pay $15$ percent interest. The market's required yield to maturity on a comparable$-$risk bond is $12$ percent. The current market price for the bond is $$1,090.$

a$.$ Determine the yield to maturity.

b$.$ What is the value of the bonds to you given the yield to maturity on a comparable$-$risk bond?

c$.$ Should you purchase the bond at the current market price?

a$.$ What is your yield to maturity on the Vail bonds given the current market price of the bonds?

$\%($Round to two decimal places.$)$

b$.$ What should be the value of the Vail bonds given the yield to maturity on a comparable risk bond?

$ $($Round to the nearest cent.$)$