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

a$)$ Bond A trades at a discount and Bond $B$ trades at a discount too.

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

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

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

e$)$ Both bonds trade at par value.

f$)$ 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.

g$)$ Bond A trades at a premium and Bond B trades at a premium too.