Problem $8-18$ Interest Rate Risk

Bond Sam and Bond Dave both have $6$ percent coupon bonds outstanding, with semiannual interest payments, and both are priced at par value. Bond Sam bond has two years to maturity, whereas the Bond Dave bond has $15$ years to maturity.

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

$\backslash$table$[[$Percentage change in price of Sam,,$\%$