A $12-$year maturity zero$-$coupon bond selling at a yield to maturity of $5\mathrm{.}25\%($effective annual yield$)$ has convexity of $159\mathrm{.}9$ and modified

duration of $11\mathrm{.}06$ years. A $30-$year maturity $9\mathrm{.}5\%$ coupon bond making annual coupon payments also selling at a yield to maturity of

$5\mathrm{.}25\%$ has nearly identical duration$-11\mathrm{.}04$ years$-$but considerably higher convexity of $258\mathrm{.}4.$

a$.$ Suppose the yield to maturity on both bonds increases to $6\mathrm{.}25\%.$ What will be the actual percentage capital loss on each bond?

What percentage capital loss would be predicted by the duration$-$with$-$convexity rule? $($Input all amounts as positlve volues. Do not

round Intermedlate colculatlons. Round your answers to $2$ declmal places.$)$

b$.$ Suppose the yield to maturity on both bonds decreases to $4\mathrm{.}25\%.$ What will be the actual percentage capital loss on each bond?

What percentage capital loss would be predicted by the duration$-$with$-$convexity rule? $($Input all amounts os positive volues. Do not

round Intermedlate colculatlons. Round your answers to $2$ decimal places.$)$