Both Bond Bill and Bond Ted have $12\mathrm{.}8$ percent coupons, make semiannual payments, and are priced at par value. Bond Bill has $7$ years to maturity, whereas Bond Ted has $24$ years to maturity. Both bonds have a par value of $1,000.$

a$.$ If interest rates suddenly rise by $3$ percent, what is the percentage change in the price of these bonds? $($A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ If rates were to suddenly fall by $3$ percent instead, what would be the percentage change in the price of these bonds? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$\backslash$table$[[,$Bond Bill,,Bond Ted,$],[$a$.,$Percentage change in price,,$\%,,\%$