Bond $J$ has a coupon of $7\mathrm{.}8$ percent. Bond $K$ has a coupon of $11\mathrm{.}8$ percent. Both bonds have $12$ years to maturity and have a YTM of $8\mathrm{.}7$

percent.

a$.$ If interest rates suddenly rise by $2\mathrm{.}4$ percent, what is the percentage price change of these bonds? $($A negative value should be

indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to $2$ decimal places.$)$

b$.$ If interest rates suddenly fall by $2\mathrm{.}4$ percent, what is the percentage price change of these bonds? $($Do not round intermediate

calculations. Enter your answers as a percent rounded to $2$ decimal places.$)$