Interest Rate Risk $[$LO$2]$ Both Bond Sam and Bond Dave have $\frac{?}{\mathrm{.}1}$ percent cou. pons, 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? Illustrate your answers by graphing bond prices versus YTM$.$ What does this problem tell you about the inierest rate risk of longer$-$term bonds?