Both Bond A and Bond $B$ have $9\mathrm{.}6$ percent coupons and are pricesd at par value. Bond A has $8$ years to maturity, while Bond $B$ has $20$ years to maturity.

a$.$ If interest rates suddenly rise by $2\mathrm{.}2$ percent, what is the percentage change in price of $B$ ond A and $B$ ond $B?($ A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to $2$ decimal places.$)$

$\backslash$table$[[,\%$ in Price$],[$Bond A$,-11\mathrm{.}19\%$