Bond J has a coupon rate of $4$ percent. Bond K has a coupon rate of $10$ percent. Both bonds have $6$ 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 Bond J$?$

multiple choice $1$

$-9\mathrm{.}79\%$

$-8\mathrm{.}79\%$

$-7\mathrm{.}79\%$

$-9\mathrm{.}77\%$

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

multiple choice $2$

$-6\mathrm{.}78\%$

$-8\mathrm{.}78\%$

$-8\mathrm{.}76\%$

$24\mathrm{.}08\%$

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

multiple choice $3$

$11\mathrm{.}03\%$

$-9\mathrm{.}81\%$

$11\mathrm{.}05\%$

$-18\mathrm{.}77\%$

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

multiple choice $4$

$-8\mathrm{.}80\%$

$9\mathrm{.}86\%$

$10\mathrm{.}39\%$

$9\mathrm{.}74\%$