Bond J has a coupon rate of $4$ percent. Bond K has a coupon rate of $11$ percent. Both bonds have $7$ 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 $1$

$-9\mathrm{.}08\%$

$-11\mathrm{.}06\%$

$-11\mathrm{.}08\%$

$-10\mathrm{.}08\%$

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

multiple choice $2$

$-9\mathrm{.}65\%$

$-9\mathrm{.}67\%$

$29\mathrm{.}76\%$

$-7\mathrm{.}67\%$

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

multiple choice $3$

$-21\mathrm{.}13\%$

$12\mathrm{.}71\%$

$12\mathrm{.}73\%$

$-11\mathrm{.}10\%$

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

multiple choice $4$

$-9\mathrm{.}69\%$

$10\mathrm{.}90\%$

$11\mathrm{.}02\%$

$16\mathrm{.}84\%$