Consider two bonds, A and B$.$ Both bonds presently are selling at their par value of $$1,000.$ Each pays a coupon of $$120$ annually. Bond A will mature in $6$ years, while bond B will mature in $5$ years. If market interest rates decrease tomorrow then $\_\_\_\_\_\_\_\_\_\_\_.$

Group of answer choices

both bonds will increase in value but bond A will increase more than bond B

both bonds will decrease in value but bond A will decrease more than bond B

both bonds will increase in value but bond B will increase more than bond A

both bonds will decrease in value but bond B will decrease more than bond A