$($Bond valuation$)$The $7-$year $$$$1$ comma $000$ par bonds of Vail Inc. pay $8$ percent interest. The$$ market's required yield to maturity on a$$ comparable$-$risk bond is $5$ percent. The current market price for the bond is $ $1$ comma $090.$

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?