Bond J has a coupon rate of $5$ 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 $2$ percent, what is the percentage price change of Bond J$?$

multiple choice $1$

$-8\mathrm{.}32\%$

$-9\mathrm{.}32\%$

$-9\mathrm{.}30\%$

$-7\mathrm{.}32\%$

If interest rates suddenly rise by $2$ percent, what is the percentage price change of Bond K$?$

multiple choice $2$

$-6\mathrm{.}36\%$

$16\mathrm{.}20\%$

$-8\mathrm{.}34\%$

$-8\mathrm{.}36\%$

If interest rates suddenly fall by $2$ percent, what is the percentage price change of Bond J$?$

multiple choice $3$

$-9\mathrm{.}34\%$

$10\mathrm{.}49\%$

$-25\mathrm{.}86\%$

$10\mathrm{.}47\%$

If interest rates suddenly fall by $2$ percent, what is the percentage price change of Bond K$?$

multiple choice $4$

$1\mathrm{.}00\%$

$9\mathrm{.}36\%$

$-8\mathrm{.}38\%$

$9\mathrm{.}24\%$