Bond $J$ has a coupon rate of $4$ percent. Bond $K$ has a coupon rate of $9$ percent. Both

bonds have $8$ years to maturity, make semiannual payments, and have a YTM of $9$

percent.

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

Bond J$?$

$-22\mathrm{.}05\%$

$-22\mathrm{.}07\%$

$-21\mathrm{.}07\%$

$-20\mathrm{.}07\%$

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

Bond K$?$

$-17\mathrm{.}54\%-20\mathrm{.}70\%-19\mathrm{.}52\%-19\mathrm{.}54\%$

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

Bond J$?$

$29\mathrm{.}98\%$

$-43\mathrm{.}95\%$

$29\mathrm{.}96\%$

$-22\mathrm{.}09\%$

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

Bond K$?$

$25\mathrm{.}99\%$

$-18\mathrm{.}54\%$

$-19\mathrm{.}56\%$

$26\mathrm{.}11\%$