Calculate the price of a 5-year, $1,000 par value bond that makes semiannual payments, has a coupon

Question:

Calculate the price of a 5-year, $1,000 par value bond that makes semiannual payments, has a coupon rate of 8 %, and offers a yield to maturity of 7 %. Recalculate the price assuming a 9 % YTM. What is the general relationship that this problem illustrates?

Coupon
A coupon or coupon payment is the annual interest rate paid on a bond, expressed as a percentage of the face value and paid from issue date until maturity. Coupons are usually referred to in terms of the coupon rate (the sum of coupons paid in a... Maturity
Maturity is the date on which the life of a transaction or financial instrument ends, after which it must either be renewed, or it will cease to exist. The term is commonly used for deposits, foreign exchange spot, and forward transactions, interest... Par Value
Par value is the face value of a bond. Par value is important for a bond or fixed-income instrument because it determines its maturity value as well as the dollar value of coupon payments. The market price of a bond may be above or below par,...