Bond 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,$ and an $6\%$ yield to maturity. Which of the following statements is CORRECT?

Question $2$ options:

a$)$

Both bonds trade at par value.

b$)$

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

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 trades at a discount and Bond B trades at a discount too.

e$)$

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

f$)$

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

g$)$

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 will be lower than it is today.