The $7-$year $$1,000$ par bonds of Vail Inc. pay $11$ percent interest. The market's required yield to maturity on a comparable$-$risk bond is $13$ percent. The current market price for the bond is $$850.$a$)$ 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?