The Faulk Corp. has a bond with a coupon rate of $4$ percent outstanding. The Gonas Company has a bond with a coupon rate of $10$ percent outstanding. Both bonds have $12$ years to maturity, make semiannual payments, and have a YTM of $7$ 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$.,32\mathrm{.}16.)$