Both Bond Sam and Bond Dave have $12$ percent coupons, make semiannual payments, and are priced at $$1,000\mathrm{.}00.$ Bond Sam has $3$ years to maturity, whereas Bond Dave has $20$ years to maturity. Both bonds have a face value of $$1,000.$

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$.,32\mathrm{.}16.$

$\backslash$table$[[,$Bond Sam,Bond Dave$],[$Percentage change in price,,$\%,\%$