Both Bond A and Bond $B$ have $7$ percent coupons and are priced at par value. Bond A has $5$ years to maturity, while Bond $B$ has $16$ years to maturity.

a$.$ If interest rates suddenly rise by $1\mathrm{.}4$ percent, what is the percentage change in price of Bond A and Bond $B?$

Note: 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$,-5\mathrm{.}62,\%,],[$Bond B$,-12\mathrm{.}08,\%,]]$

b$.$ If interest rates suddenly fall by $1\mathrm{.}4$ percent instead, what would be the percentage change in price of Bond A and Bond $B?$

Note: Do not round intermediate calculations. Enter your answers as a percent rounded to $2$ decimal places.

$\backslash$table$[[,\%$ in Price$],[$Bond A$,5\mathrm{.}96,\%,],[$Bond B$,14\mathrm{.}55,\%,]]$