A $$1000$ face value bond has a current market price of $$935$ an $8\%$ coupon rate and $10$ years remaining until. Interest payment are made semiannually

a$)$ Before you do any calculations, decide whether the yield to maturity is above or below the rate. Why

b$)$ What is implied market$-$determined discount rate$($ i$.$e semiannual yield to maturity$)$ on this bond?

c$)$ Using your answer to $($a$)$ what the bond's nominal annual yield to matury.