An investor collects the following information on U$.$S$.$ zero$-$coupon government bonds. The yields$-$to$-$maturity are stated on a semiannual bond basis.

The implied two year forward rate at time $3(2f3)$ is closest to:

$1\mathrm{.}764\%$

$3\mathrm{.}529\%$

$3\mathrm{.}532\%$