Question $4$:

Consider XYZ bond with a stated coupon rate of $8\%6$ XYZ bond pays interest to bonthethers on semiannual basis and $3$ years to maturity. The market's required yield to maturity for a similarty rated debt was $10\%.$

a$)$ What is the present value of this bond if the par value is $51000?$

b$)$ Based on your calculations in part $($a$),$ determine whether the bond is trading at par. discount, or premium? Why?

c$)$ What's the relation between bond price and yield to maturity?