Jarir is about to issue a bond with semiannual coupon payments, a coupon rate of $10\%,$ and par value

of $$1,000.$ The yield to maturity for this bond is $8\%.$

a$)$ What is the price of the bond if the bond matures in five, ten, fifteen, or twenty years?

b$)$ What do you notice about the price of the bond in relationship to the maturity of the bond?