Interest rates on $2-$year Treasury securities are currently $1\mathrm{.}00\%,$ while $5-$year Treasury securities yield $2\mathrm{.}00\%.$ If the pure expectations theory is correct, what does the market believe that $3-$year securities will be yielding $2$ years from now?

Question $5$ options:

$1\mathrm{.}67\%$

$3\mathrm{.}00\%$

$2\mathrm{.}67\%$

$3\mathrm{.}67\%$