S$07-19$ Interest Rate Risk $[$LO$2]$

Both Bond Sam and Bond Dave have $6\mathrm{.}7$ percent coupons, make semiannual payments, and are priced at par value. Bond Sam has $3$ years to maturity, whereas Bond Dave has $20$ years to maturity.

If interest rates suddenly rise by $2$ percent, what is the percentage change in the price of Bond Sam and Bond Dave?

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$[[$Percentage change in price of Bond Sam,$\%$