The Faulk Corp. has a bond with a coupon rate of $6$ percent outstanding. The Gonas Company has a bond with a coupon rate of $12$ percent outstanding. Both bonds have $20$ years to maturity, make semiannual payments, and have a YTM of $9$ percent.

a$.$ If interest rates suddenly rise by $2$ 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$.$ What if rates suddenly fall by $2$ percent instead? $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$