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 $6$ percent.

If interest rates suddenly rise by $3$ percent, what is the percentage price change of Bond J$?$

multiple choice $1$

$-15\mathrm{.}68\%$

$-13\mathrm{.}68\%$

$-14\mathrm{.}68\%$

$-15\mathrm{.}66\%$

If interest rates suddenly rise by $3$ percent, what is the percentage price change of Bond K$?$

multiple choice $2$

$-13\mathrm{.}84\%$

$-13\mathrm{.}86\%$

$-11\mathrm{.}86\%$

$36\mathrm{.}08\%$

If interest rates suddenly fall by $3$ percent, what is the percentage price change of Bond J$?$

multiple choice $3$

$19\mathrm{.}26\%$

$-15\mathrm{.}70\%$

$-20\mathrm{.}45\%$

$19\mathrm{.}28\%$

If interest rates suddenly fall by $3$ percent, what is the percentage price change of Bond K$?$

multiple choice $4$

$16\mathrm{.}73\%$

$-13\mathrm{.}88\%$

$16\mathrm{.}85\%$

$16\mathrm{.}33\%$