Use this table of U$.$S$.$ Treasury bond prices for settle on May $15,2010,$ to derive the discount factors for cash flows to be received in $6$ months, $1$ year, and $1\mathrm{.}5$ years.

Bond

$4$ s of $\frac{11}{15}\frac{?}{2010}$

Os of $\frac{5}{15}\frac{?}{2011}$

$1$ s of $\frac{11}{15}\frac{?}{2011}$

Price

$102\mathrm{.}15806$

$99\mathrm{.}60120$

$101\mathrm{.}64355$