In this question, you will work with the pricing equation to show some results. A good start point is bond pricing equation P $=($C $/$ r$)[11/(1+$ r$)^$T $]+$ Par$/(1+$ r$)^$T where P is the price, C is the coupon, r is the yield, Par is the face value $($par$)$ and T the maturity date.

$3.$I$)$ Show that if a bond sells at par, then the coupon rate equals the yield.

$3.$II$)$ Show that if the coupon rate equals the yield, then a bond sells at par.