Bond J has a coupon rate of $6$ percent. Bond K has a coupon rate of $11$ percent. Both bonds have $6$ years to maturity, make semiannual payments, and have a YTM of $9$ percent.

If interest rates suddenly rise by $4$ percent, what is the percentage price change of Bond J$?$

$-16\mathrm{.}24\%$

$-15\mathrm{.}24\%$

$-17\mathrm{.}24\%$

$-17\mathrm{.}22\%$

If interest rates suddenly rise by $4$ percent, what is the percentage price change of Bond K$?$

$-15\mathrm{.}83\%$

$-13\mathrm{.}83\%$

$-15\mathrm{.}81\%$

$23\mathrm{.}53\%$

If interest rates suddenly fall by $4$ percent, what is the percentage price change of Bond J$?$

$21\mathrm{.}79\%$

$-17\mathrm{.}26\%$

$21\mathrm{.}77\%$

$-28\mathrm{.}56\%$

If interest rates suddenly fall by $4$ percent, what is the percentage price change of Bond K$?$

$19\mathrm{.}73\%$

$-7\mathrm{.}16\%$