onstruct some simple examples to illustrate your answers to the following:$($a$)$ If interest rates rise, do bond prices rise or fall?$($b$)$ If the bond yield is greater than the coupon, is the price of the bond greater or less than $100?($c$)$ If the price of a bond exceeds $100,$ is the yield greater or less than the coupon?$($d$)$ Do high$-$coupon bonds sell at higher or lower prices than low$-$coupon bonds?If interest rates change, does the price of high$-$coupon bonds change proportionately more than that of low$-$coupon bonds?