What is the relationship between required rate of return and coupon rate on the value of bond?

The relationship between the required rate of return and the coupon rate significantly affects a bond's value. If the required rate of return is higher than the coupon rate, the bond will typically trade at a discount, as investors seek higher yields elsewhere. Conversely, if the required rate of return is lower than the coupon rate, the bond will trade at a premium, since it offers more attractive returns relative to current market rates. Thus, changes in the required rate of return directly influence the bond's market price.