Bond J has a coupon rate of $4$ percent. Bond K has a coupon rate of $12$ percent. Both bonds have $8$ years to maturity, make semiannual payments, and have a YTM of $7$ percent.

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

$-17\mathrm{.}56\%$

$-17\mathrm{.}54\%$

$-15\mathrm{.}56\%$

$-16\mathrm{.}56\%$

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

$-14\mathrm{.}89\%$

$35\mathrm{.}20\%$

$-14\mathrm{.}87\%$

$-12\mathrm{.}89\%$

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

$22\mathrm{.}14\%$

$22\mathrm{.}16\%$

$-17\mathrm{.}58\%$

$-32\mathrm{.}51\%$

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

$11\mathrm{.}84\%$

$-14\mathrm{.}91\%$

$18\mathrm{.}37\%$

$18\mathrm{.}49\%$