Assume that, currently, $4-$year Treasury securities yield $5\mathrm{.}4$ percent,

$6-$year Treasury securities yield $5\mathrm{.}8$ percent, and $10-$year Treasury

securities yield $6\mathrm{.}2$ percent. If the expectations theory is correct,

determine what the market expects the annual yield will be on $4-$

year Treasury securities$,$ six years from today.