Bond J has a coupon rate of $5$ percent. Bond K has a coupon rate of $12$ percent. Both bonds have $7$ years to maturity, make semiannual payments, and have a YTM of $8$ percent.

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

multiple choice $1$

$-9\mathrm{.}58\%$

$-10\mathrm{.}58\%$

$-8\mathrm{.}58\%$

$-10\mathrm{.}56\%$

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

multiple choice $2$

$25\mathrm{.}31\%$

$-7\mathrm{.}27\%$

$-9\mathrm{.}25\%$

$-9\mathrm{.}27\%$

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

multiple choice $3$

$-24\mathrm{.}75\%$

$12\mathrm{.}12\%$

$12\mathrm{.}10\%$

$-10\mathrm{.}60\%$

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