$3$ond A has a $9\%$ annual coupon, while Bond B has a $7\%$ annual coupon. Both bonds have the same maturity, a face value of $$1,000,$ an $8\%$ yield to mat nd are noncallable. Which of the following statements is CORRECT?

a$.$ Bond A trades at a discount, whereas Bond B trades at a premium.

b$.$ If the yield to maturity for both bonds remains at $8\%,$ Bond A$\text{'}$s price one year from now will be higher than it is today, but Bond B$\text{'}$s price one year from now W lower than it is today.

c$.$ If the yield to maturity for both bonds immediately decreases to $6\%,$ Bond A$\text{'}$s bond will have a larger percentage increase in value.

d$.$ Bond A$\text{'}$s current yield is greater than that of Bond $B.$

e$.$ Bond A$\text{'}$s capital gains yield is greater than Bond B$\text{'}$s capital gains yield.