S$07-20$ Interest Rate Risk $[$LO$2]$

Bond $J$ has a coupon rate of $3$ percent. Bond $K$ has a coupon rate of $9$ percent. Both bonds have $14$ years to maturity, make semiannual payments, and have a YTM of $6$ percent.

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$.,32\mathrm{.}16.)$

$\backslash$table$[[,,],[$Percentage change in price of Bond $J,-21\mathrm{.}59,\%$