Bond J has a coupon rate of $6$ percent. Bond K has a coupon rate of $10$ percent. Both bonds have $8$ years to maturity, make semiannual payments, and have a YTM of $7$ percent.

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

multiple choice $1$

$-19\mathrm{.}40\%$

$-21\mathrm{.}40\%$

$-20\mathrm{.}40\%$

$-21\mathrm{.}38\%$

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

multiple choice $2$

$-19\mathrm{.}78\%$

$-19\mathrm{.}76\%$

$33\mathrm{.}09\%$

$-17\mathrm{.}78\%$

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

multiple choice $3$

$29\mathrm{.}00\%$

$28\mathrm{.}98\%$

$-26\mathrm{.}16\%$

$-21\mathrm{.}42\%$

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

multiple choice $4$

$26\mathrm{.}39\%$

$-19\mathrm{.}80\%$

$-4\mathrm{.}23\%$

$26\mathrm{.}51\%$