Both Bond Sam and Bond Dave have $6\mathrm{.}5$ 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? Of Bond Dave? If rates were to suddenly fall by $2$ percent instead, what would the percentage change in the price of Bond Sam be then? Of Bond Dave? All bond price answers should be dollar prices.

$\backslash$table$[[$Bond Sam:,$],[$Coupon rate,$6\mathrm{.}5\%$