Bond J has a coupon rate of $5$ percent. Bond K has a coupon rate of $8$ percent. Both bonds have $6$ years to maturity, make semiannual payments, and have a YTM of $8$ percent.

If interest rates suddenly rise by $5$ percent, what is the percentage price change of Bond J$?$

multiple choice $1$

$-20\mathrm{.}60\%$

$-21\mathrm{.}58\%$

$-19\mathrm{.}60\%$

$-21\mathrm{.}60\%$

If interest rates suddenly rise by $5$ percent, what is the percentage price change of Bond K$?$

multiple choice $2$

$-18\mathrm{.}40\%$

$21\mathrm{.}43\%$

$-20\mathrm{.}38\%$

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

If interest rates suddenly fall by $5$ percent, what is the percentage price change of Bond J$?$

multiple choice $3$

$29\mathrm{.}08\%$

$29\mathrm{.}06\%$

$-32\mathrm{.}63\%$

$-21\mathrm{.}62\%$

If interest rates suddenly fall by $5$ percent, what is the percentage price change of Bond K$?$

multiple choice $4$

$27\mathrm{.}27\%$

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

$-20\mathrm{.}42\%$

$27\mathrm{.}15\%$