Bond J has a coupon rate of $4\mathrm{.}5$ percent. Bond K has a coupon rate of $14\mathrm{.}5$ percent. Both bonds have eight years to maturity, a par value of $$1,000,$ and a YTM of $10$ percent, and both make semiannual payments. Remember, price change equals $($ending price beginning price$)\frac{?}{?}$ beginning price or ending price$/$beginning price $-1.$

a$.$ If interest rates suddenly rise by $3$ percent, what is the percentage change in the price of these bonds?

Note: 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 interest rates suddenly fall by $3$ percent instead, what is the percentage change in the price of these bonds? Note: Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

$\backslash$table$[[,$Bond J$,,$Bond K$],[$a$.$ Percentage change in price,,$\%,,\%$