Bond $J$ has a coupon rate of $5$ percent and Bond $K$ has a coupon rate of $11$ percent. Both bonds have $19$ years to maturity, make semiannual payments, and have a YTM of $8$ percent.

a$.$ If interest rates suddenly rise by $2$ percent, what is the percentage price change of these bonds? $($A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What if rates suddenly fall by $2$ percent instead? $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

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