Bond A pays annual coupons of $5\%,$ matures in $3$ years, and has a par value of $$1,000.$ Bond B$,$ pays annual coupons of $10\%,$ matures in $3$ years, and has a par value of $$1,000.$ The YTM for both bonds is $7\%.$

What will happen to their price as they age by $1$ year $($assume that the Yrim stays the same $(7\%))$:

a$)$ Bond A and $B$ will increase in value.

b$)$ Bond A will increase in value, and bond $B$ will decrease in value.

c$)$ Bond A and $B$ will decrease in value.

d$)$ Bond A will decrease in value, and bond $B$ will increase in value.